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University of Georgia
1.
Straight, Carrie Alison.
Reproduction, migration, and prospects for persistence of a reintroduced population of an imperiled riverine fish, Robust Redhorse (Moxostoma robustum).
Degree: PhD, Ecology, 2014, University of Georgia
URL: http://purl.galileo.usg.edu/uga_etd/straight_carrie_a_201405_phd
► Human modification of the world’s landscapes and riverscapes have resulted in a high number of imperiled species worldwide. Nearly half of North American catostomid fishes…
(more)
▼ Human modification of the world’s landscapes and riverscapes have resulted in a high number of imperiled species worldwide. Nearly half of North American catostomid fishes are considered imperiled. The conservation of any imperiled species relies on understanding threats and requirements of the species at each life history stage. This study focused on assessing the reproductive biology of an imperiled large-bodied catostomid native to the southeastern United States, the
Robust Redhorse (Moxostoma robustum).
Robust Redhorse conservation has been hampered by failure to document recruitment. Therefore, gaining knowledge of the species’ reproductive biology could provide managers with information critical for conservation. This study has documented (a) a new method using passive acoustic monitoring to assess spawning frequency of large-bodied catostomids when visual observations can not be made, (b) spawning frequencies and diel periodicity of
Robust Redhorse in two river systems, (c) reproductive and migratory behavior of
Robust Redhorse in a reintroduced population, compared to two wild, Coastal Plain populations in Georgia, and (d) evidence of recruitment in a reintroduced population of
Robust Redhorse. These studies provide novel findings of
Robust Redhorse behavior. I have documented
Robust Redhorse use of reservoirs as wintering habitat as well as plasticity in use of river and reservoir as wintering habitat. I have also documented plasticity in use of spawning sites, tracking movements by three individuals between two spawning sites during a single spawning season. This study is the first to document nocturnal spawning;
Robust Redhorse spawn at all hours of the day with a peak number of spawns after midnight and in the early hours of the morning.
Robust Redhorse also display a range of numbers of individuals participating in spawning acts, in addition to the typical trio of two males and a female. I have also documented an alternate reproductive tactic of sneaking spawn attempts, rather than holding territories, by smaller, presumably younger
Robust Redhorse males. These new findings and others in this study expand our understanding of reproductive behavior of this imperiled fish species and should provide valuable information for management of this species and future reintroductions.
Advisors/Committee Members: Mary C. Freeman.
Subjects/Keywords: Robust Redhorse
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APA (6th Edition):
Straight, C. A. (2014). Reproduction, migration, and prospects for persistence of a reintroduced population of an imperiled riverine fish, Robust Redhorse (Moxostoma robustum). (Doctoral Dissertation). University of Georgia. Retrieved from http://purl.galileo.usg.edu/uga_etd/straight_carrie_a_201405_phd
Chicago Manual of Style (16th Edition):
Straight, Carrie Alison. “Reproduction, migration, and prospects for persistence of a reintroduced population of an imperiled riverine fish, Robust Redhorse (Moxostoma robustum).” 2014. Doctoral Dissertation, University of Georgia. Accessed December 06, 2019.
http://purl.galileo.usg.edu/uga_etd/straight_carrie_a_201405_phd.
MLA Handbook (7th Edition):
Straight, Carrie Alison. “Reproduction, migration, and prospects for persistence of a reintroduced population of an imperiled riverine fish, Robust Redhorse (Moxostoma robustum).” 2014. Web. 06 Dec 2019.
Vancouver:
Straight CA. Reproduction, migration, and prospects for persistence of a reintroduced population of an imperiled riverine fish, Robust Redhorse (Moxostoma robustum). [Internet] [Doctoral dissertation]. University of Georgia; 2014. [cited 2019 Dec 06].
Available from: http://purl.galileo.usg.edu/uga_etd/straight_carrie_a_201405_phd.
Council of Science Editors:
Straight CA. Reproduction, migration, and prospects for persistence of a reintroduced population of an imperiled riverine fish, Robust Redhorse (Moxostoma robustum). [Doctoral Dissertation]. University of Georgia; 2014. Available from: http://purl.galileo.usg.edu/uga_etd/straight_carrie_a_201405_phd

Texas A&M University
2.
Saraf, Radhika Shailesh.
H2 Optimal Sensing Architecture with Model Uncertainty.
Degree: 2017, Texas A&M University
URL: http://hdl.handle.net/1969.1/161415
► In this thesis, I shall present an integrated approach to control and sensing design. The framework assumes sensor noise as a design variable along with…
(more)
▼ In this thesis, I shall present an integrated approach to control and sensing design. The framework assumes sensor noise as a design variable along with the controller and determines l1 regularized optimal sensing precision. This design satisfies a given closed-loop performance in the presence of model uncertainty. Two methods will be proposed to achieve this.
The first method designs a controller for an open loop uncertain system, which is scaled in order to have a finite H2 norm. Within this, two approaches have been pursued. In the first approach, uncertainty has been represented as polytopic and, in the second formulation, modelled using integral quadratic constraints (IQC). These two approaches have been applied to an active suspension control and sensing design problem and demonstrate that the IQC based approach provides better results and is able to incorporate larger system uncertainty.
The second method finds an appropriate scaling to bound the H2 norm of an uncertain controlled system. The sensor precision is found as the minimal solution to an optimization problem. The design is tested for stability and robustness on a tensegrity robot arm model.
Advisors/Committee Members: Bhattacharya, Raktim (advisor), Datta, Aniruddha (advisor), Kumar, P R (committee member), Skelton, Robert (committee member).
Subjects/Keywords: Control; Robust
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
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to Zotero / EndNote / Reference
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APA (6th Edition):
Saraf, R. S. (2017). H2 Optimal Sensing Architecture with Model Uncertainty. (Thesis). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/161415
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Saraf, Radhika Shailesh. “H2 Optimal Sensing Architecture with Model Uncertainty.” 2017. Thesis, Texas A&M University. Accessed December 06, 2019.
http://hdl.handle.net/1969.1/161415.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Saraf, Radhika Shailesh. “H2 Optimal Sensing Architecture with Model Uncertainty.” 2017. Web. 06 Dec 2019.
Vancouver:
Saraf RS. H2 Optimal Sensing Architecture with Model Uncertainty. [Internet] [Thesis]. Texas A&M University; 2017. [cited 2019 Dec 06].
Available from: http://hdl.handle.net/1969.1/161415.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Saraf RS. H2 Optimal Sensing Architecture with Model Uncertainty. [Thesis]. Texas A&M University; 2017. Available from: http://hdl.handle.net/1969.1/161415
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Università della Svizzera italiana
3.
Mutsanas, Nikos.
Approximability of precedence constrained and robust
scheduling problems.
Degree: 2010, Università della Svizzera italiana
URL: http://doc.rero.ch/record/18217
► We study the approximability of scheduling problems in different contexts. We first give a short introduction to the field of scheduling theory and present a…
(more)
▼ We study the approximability of scheduling problems in
different contexts. We first give a short introduction to the field
of scheduling theory and present a simple single machine scheduling
problem that will form the base for all variants considered in the
remainder of this thesis. We point out that this scheduling
problem, though long known to be efficiently solvable in its
original form, becomes very interesting when additional
restrictions are imposed. The restrictions in the focus of this
thesis are precedence constraints among the jobs that need to be
fulfilled by any feasible solution, or incomplete knowledge about
the instance at hand. We first study the precedence constraint
version of the above mentioned single machine scheduling problem.
This problem was first studied in the seventies, and still poses
perplexing questions to researchers, concerning its
approximability. Throughout the years several 2-approximation
algorithms have been developed for it, with some special cases of
precedence constraints allowing for better than 2 approximations.
It was recently shown that this scheduling problem is strongly
related to the Vertex Cover problem of an appropriately defined
graph. We establish a connection between this graph and a
well-known graph in Dimension Theory of partial orders. We also
extend a technique developed by Dorit Hochbaum that yields "good"
approximation algorithms for the Independent Set problem in graphs
to the case that the so-called fractional chromatic number of the
graph is bounded. Using the connections to dimension theory, we
devise an algorithmic framework that unifies and often improves on
the best known approximation algorithms for all previously
considered special cases of partial orders. Besides its success in
devising approximation algorithms for special cases of precedence
constraints, the above sketched connection is also interesting in
its own right. As an example, the polynomial solvability of
2-dimensional precedence constraints can be explained by the fact
that the resulting graph becomes bipartite and vertex cover is
known to be polynomially solvable for bipartite graphs. We then
study the above scheduling problems in the presence of uncertainty.
We show that this problem cannot be approximated within a
logarithmic factor whenever the number of different scenarios, i.e.
different configurations of the numerical parameters is unbounded.
This result contrasts the difficulty in proving inapproximability
results for the classical, non-
robust problem and hints at the
increase in complexity caused by the uncertain environment. We find
it therefore surprising that we were able to develop a polynomial
time 2-approximation algorithm for the case when only one of the
two parameters is affected by uncertainty. The fact that our result
holds in the presence of precedence constraints implies that it
cannot be improved without improving upon the 2-approximation
algorithm for the classical precedence constrained scheduling
problem, a long standing open problem in scheduling theory. We…
Advisors/Committee Members: Gambardella, Luca Maria (Dir.), Mastrolilli, Monaldo (Codir.).
Subjects/Keywords: Robust optimization
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Mutsanas, N. (2010). Approximability of precedence constrained and robust
scheduling problems. (Thesis). Università della Svizzera italiana. Retrieved from http://doc.rero.ch/record/18217
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Mutsanas, Nikos. “Approximability of precedence constrained and robust
scheduling problems.” 2010. Thesis, Università della Svizzera italiana. Accessed December 06, 2019.
http://doc.rero.ch/record/18217.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Mutsanas, Nikos. “Approximability of precedence constrained and robust
scheduling problems.” 2010. Web. 06 Dec 2019.
Vancouver:
Mutsanas N. Approximability of precedence constrained and robust
scheduling problems. [Internet] [Thesis]. Università della Svizzera italiana; 2010. [cited 2019 Dec 06].
Available from: http://doc.rero.ch/record/18217.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Mutsanas N. Approximability of precedence constrained and robust
scheduling problems. [Thesis]. Università della Svizzera italiana; 2010. Available from: http://doc.rero.ch/record/18217
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Rutgers University
4.
Yang, Xiang, 1987-.
Robust method in photogrammetric reconstruction of geometric primitives in solid modeling.
Degree: PhD, Mechanical and Aerospace Engineering, 2017, Rutgers University
URL: https://rucore.libraries.rutgers.edu/rutgers-lib/55777/
► The 3D point cloud is a widely used data format obtained from scanning a 3D model, either by using active 3D laser range scanners or…
(more)
▼ The 3D point cloud is a widely used data format obtained from scanning a 3D model, either by using active 3D laser range scanners or passive photogrammetric methods. Since the topological information in a point cloud is captured on 3D point level, the inverse design cannot be carried out directly on the data. The point cloud is first segmented into various geometric primitives, such as planes, spheres and cylinders, then the modification and redesign of solid model can be more easily achieved. A robust estimator is required to detect the multiple inlier structures while filtering out the outliers. In this dissertation, we present a new robust algorithm which processes each structure independently. The user gives only the number of elemental subsets for random sampling, which is also required in other robust algorithms. This method provides a general solution of robust estimation, and no tuning of other parameters are required for particular estimation tasks. The scales of the structures (tolerance of error) are estimated adaptively and no threshold is involved in spite of different objective functions. After classifying all the input data, the segmented structures are sorted by their strengths and the strongest inlier structures come out at the top. Like any robust estimators, this algorithm also has limitations which are described in detail. To illustrate its efficiency and robustness, the algorithm is tested on various synthetic and real examples in both 2D and 3D. We extend its applications through the entire process of the structure from motion method, to reconstruct the 3D point cloud from a sequence of 2D images. We automatically estimate and fit the 3D surfaces from the 3D point samples, without generating surface normals or mesh model. The designer can interact with the 3D points conveniently and direct modification of point cloud becomes applicable.
Advisors/Committee Members: Gea, Hae Chang (chair), Meer, Peter (co-chair), Bai, Xiaoli (internal member), Lee, Howon (internal member), Kulikowski, Casimir (outside member), School of Graduate Studies.
Subjects/Keywords: Robust statistics
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Yang, Xiang, 1. (2017). Robust method in photogrammetric reconstruction of geometric primitives in solid modeling. (Doctoral Dissertation). Rutgers University. Retrieved from https://rucore.libraries.rutgers.edu/rutgers-lib/55777/
Chicago Manual of Style (16th Edition):
Yang, Xiang, 1987-. “Robust method in photogrammetric reconstruction of geometric primitives in solid modeling.” 2017. Doctoral Dissertation, Rutgers University. Accessed December 06, 2019.
https://rucore.libraries.rutgers.edu/rutgers-lib/55777/.
MLA Handbook (7th Edition):
Yang, Xiang, 1987-. “Robust method in photogrammetric reconstruction of geometric primitives in solid modeling.” 2017. Web. 06 Dec 2019.
Vancouver:
Yang, Xiang 1. Robust method in photogrammetric reconstruction of geometric primitives in solid modeling. [Internet] [Doctoral dissertation]. Rutgers University; 2017. [cited 2019 Dec 06].
Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/55777/.
Council of Science Editors:
Yang, Xiang 1. Robust method in photogrammetric reconstruction of geometric primitives in solid modeling. [Doctoral Dissertation]. Rutgers University; 2017. Available from: https://rucore.libraries.rutgers.edu/rutgers-lib/55777/

University of Minnesota
5.
Moulton, Jeffrey.
Robust Fragmentation: A Data-Driven Approach to Decision-Making Under Distributional Ambiguity.
Degree: PhD, Mathematics, 2016, University of Minnesota
URL: http://hdl.handle.net/11299/182165
► Decision makers often must consider many different possible future scenarios when they make a decision. A manager must choose inventory levels to maximize profit when…
(more)
▼ Decision makers often must consider many different possible future scenarios when they make a decision. A manager must choose inventory levels to maximize profit when the demand is unknown, investors choose a portfolio to maximize gain in the face of uncertain stock price fluctuations, and service providers must pick facility locations to minimize distances traveled where the location of the next customer is random. When uncertainty is involved, the desired outcome will be affected by factors and variables outside the decider's control and knowledge at the time of the decision. Such factors of uncertainty are hard to account for, especially when exact information about the uncertainty is unknown. It may be difficult to account for all possibilities or to estimate how likely each scenario is. There may be an infinite number of scenarios, too many for the human brain to contemplate. Generally, a precise distribution of these factors is unavailable. The unknown data, which can be quantified as a vector of parameters, follows an unknown distribution leading to the term distributional ambiguity. The decision maker may only have a sample of past events to guide them in balancing the costs and benefits of every possibility. Such limited historical data can help to provide guidance, but how best to use it? One would desire a decision strategy that will efficiently use the data and perform well in terms of the expectation, but also be robust to possible noise, changing conditions, and small sample size. To this end, we develop robust fragmentation (RF), a data-driven approach to decision-making under distributional ambiguity. We consider a stochastic programming framework, where the decision maker aims to optimize an expected outcome. However, we assume that the governing distribution of the random parameters affecting the outcome is unknown. Only a historical sample of past realizations of such parameters is available. Our goal is to leverage the historical data to effectively and robustly approximate the true problem. This is done by fragmenting the support of the data into pieces to dissect the structure. We reduce the data by replacing it with summary statistics by region. These parameters are used to construct an ambiguity set for the distribution. The ambiguity set consists of all distributions which would satisfy the same regional reduction. We therefore reduce the problem size and avoid overfitting to the training sample. Our approach allows for two types of ambiguity: ambiguity in support and ambiguity in probability. After constructing the ambiguity set, we consider the worst case expectation to provide distributional robustness. Constraining the distribution regionally allows us to capture detailed information about the distribution and keeps the approach from being too conservative. The ambiguity may be tailored to the structure, amount, and reliability of the data. Robust fragmentation is a generalization and extension of several classical and newer approaches to approximating a stochastic program, including…
Subjects/Keywords: clustering; distributionally robust optimization; fragmentation; newsvendor; robust
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Moulton, J. (2016). Robust Fragmentation: A Data-Driven Approach to Decision-Making Under Distributional Ambiguity. (Doctoral Dissertation). University of Minnesota. Retrieved from http://hdl.handle.net/11299/182165
Chicago Manual of Style (16th Edition):
Moulton, Jeffrey. “Robust Fragmentation: A Data-Driven Approach to Decision-Making Under Distributional Ambiguity.” 2016. Doctoral Dissertation, University of Minnesota. Accessed December 06, 2019.
http://hdl.handle.net/11299/182165.
MLA Handbook (7th Edition):
Moulton, Jeffrey. “Robust Fragmentation: A Data-Driven Approach to Decision-Making Under Distributional Ambiguity.” 2016. Web. 06 Dec 2019.
Vancouver:
Moulton J. Robust Fragmentation: A Data-Driven Approach to Decision-Making Under Distributional Ambiguity. [Internet] [Doctoral dissertation]. University of Minnesota; 2016. [cited 2019 Dec 06].
Available from: http://hdl.handle.net/11299/182165.
Council of Science Editors:
Moulton J. Robust Fragmentation: A Data-Driven Approach to Decision-Making Under Distributional Ambiguity. [Doctoral Dissertation]. University of Minnesota; 2016. Available from: http://hdl.handle.net/11299/182165

University of Houston
6.
Muravina, Viktoria 1983-.
Statistical Analysis of Biomedical Data.
Degree: Mathematics, Department of, 2018, University of Houston
URL: http://hdl.handle.net/10657/3411
► This dissertation is done in two parts. In the first part of the dissertation, our goal was to analyze Log-Rank and generalized Wilcoxon tests and…
(more)
▼ This dissertation is done in two parts. In the first part of the dissertation, our goal was to analyze Log-Rank and generalized Wilcoxon tests and see how well they perform under various conditions using data derived by measuring concentration levels of various miRNAs in cancer patients. This analysis was done by simulating multiple sets of data for each type of initial conditions, then using the simulated data to see how the tests perform. In the end, we have concluded that while Log-Rank test performs better there are still drawbacks. To deal with the drawbacks, we modified the Log-Rank test to give us a
robust p-value. The modification was then checked to see how it performs under the same conditions as the original test. The results show that while the modification fixes the drawbacks of the original test, under certain conditions the modified test had worse performance than the original Log-Rank test. In the end, the decision whether to use the original or modified Log-Rank test should be made on the basis what drawback is a lesser one based on the user’s needs.
In the second part, our goal was to analyze brain activity levels and level of connectivity between pairs of cortex regions, using time-series data obtained from a series of fMRI images for 32 young epileptic patients; then we use the results to differentiate between different groups of epileptic patients. We got the best group separations when analyzing results from a mutual information calculation. Mutual information is a non-linear, distribution independent measure of connectivity between two-time-series. Results of this calculation allow us to perfectly separate four diagnosis groups that have more than one patient. To be
robust, this type of data-driven results should be derived from analysis of a larger group of patients.
Advisors/Committee Members: Azencott, Robert (advisor), Timofeyev, Ilya (committee member), Fu, Wenjiang (committee member), Ram, Prahlad (committee member).
Subjects/Keywords: robust p-value
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Muravina, V. 1. (2018). Statistical Analysis of Biomedical Data. (Thesis). University of Houston. Retrieved from http://hdl.handle.net/10657/3411
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Muravina, Viktoria 1983-. “Statistical Analysis of Biomedical Data.” 2018. Thesis, University of Houston. Accessed December 06, 2019.
http://hdl.handle.net/10657/3411.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Muravina, Viktoria 1983-. “Statistical Analysis of Biomedical Data.” 2018. Web. 06 Dec 2019.
Vancouver:
Muravina V1. Statistical Analysis of Biomedical Data. [Internet] [Thesis]. University of Houston; 2018. [cited 2019 Dec 06].
Available from: http://hdl.handle.net/10657/3411.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Muravina V1. Statistical Analysis of Biomedical Data. [Thesis]. University of Houston; 2018. Available from: http://hdl.handle.net/10657/3411
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Georgia
7.
Carlton, Joshua Stuart.
Identification of larval Moxostoma (Catostomidae) in the Oconee River, Georgia.
Degree: MS, Forest Resources, 2004, University of Georgia
URL: http://purl.galileo.usg.edu/uga_etd/carlton_joshua_s_200412_ms
► Robust redhorse, Moxostoma robustum, is a recently rediscovered, imperiled species of sucker (Catostomidae) that inhabits several rivers in the Atlantic Slope drainage and is subject…
(more)
▼ Robust redhorse, Moxostoma robustum, is a recently rediscovered, imperiled species of sucker (Catostomidae) that inhabits several rivers in the Atlantic Slope drainage and is
subject to intense conservation efforts. Its spawning period frequently overlaps that of a sympatric congener, the notchlip redhorse (M. collapsum), making identifying the larvae of the species difficult. I measured various morphometrics, meristics, and developmental characteristics on lab-reared larvae of each species, fit a classification tree model to the data, and used the model to create a key discriminating between the species. The model had a leave-one-out, cross-validation expected error rate of 4.7%. The key formed from the model is highly accurate for fishes from 10–20 mm total length: three independent verifiers used the key to identify fishes with a 95% accuracy rate. This key is one of a few that distinguishes between sympatric Moxostoma larvae and is the first to identify larval
robust redhorse.
Advisors/Committee Members: Cecil A. Jennings.
Subjects/Keywords: Robust redhorse
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Carlton, J. S. (2004). Identification of larval Moxostoma (Catostomidae) in the Oconee River, Georgia. (Masters Thesis). University of Georgia. Retrieved from http://purl.galileo.usg.edu/uga_etd/carlton_joshua_s_200412_ms
Chicago Manual of Style (16th Edition):
Carlton, Joshua Stuart. “Identification of larval Moxostoma (Catostomidae) in the Oconee River, Georgia.” 2004. Masters Thesis, University of Georgia. Accessed December 06, 2019.
http://purl.galileo.usg.edu/uga_etd/carlton_joshua_s_200412_ms.
MLA Handbook (7th Edition):
Carlton, Joshua Stuart. “Identification of larval Moxostoma (Catostomidae) in the Oconee River, Georgia.” 2004. Web. 06 Dec 2019.
Vancouver:
Carlton JS. Identification of larval Moxostoma (Catostomidae) in the Oconee River, Georgia. [Internet] [Masters thesis]. University of Georgia; 2004. [cited 2019 Dec 06].
Available from: http://purl.galileo.usg.edu/uga_etd/carlton_joshua_s_200412_ms.
Council of Science Editors:
Carlton JS. Identification of larval Moxostoma (Catostomidae) in the Oconee River, Georgia. [Masters Thesis]. University of Georgia; 2004. Available from: http://purl.galileo.usg.edu/uga_etd/carlton_joshua_s_200412_ms

University of Alberta
8.
Zhai, Zhichun.
Robust Sampling Designs for Model-Based
Stratification.
Degree: MS, Department of Mathematical and Statistical
Sciences, 2014, University of Alberta
URL: https://era.library.ualberta.ca/files/w9505189h
► We study robust sampling designs for model-based stratification, when the assumed distribution F0 (·) of an auxiliary variable x, and the variance function g0 (·)…
(more)
▼ We study robust sampling designs for model-based
stratification, when the assumed distribution F0 (·) of an
auxiliary variable x, and the variance function g0 (·) in the
associated regression model, are only approximately specified. We
first maximize the scaled prediction mean squared error (SPMSE) for
the empirical best predictor over the neighbourhoods of F0 and g0.
Then we obtain robust sampling designs which minimize this maximum
SPMSE through a modified genetic algorithm with ‘artificial
implantation’. The techniques are illustrated in two case studies
of Australian sugar farms and MU281 population.
Subjects/Keywords: Statistics; Sampling survey; Robust design
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Zhai, Z. (2014). Robust Sampling Designs for Model-Based
Stratification. (Masters Thesis). University of Alberta. Retrieved from https://era.library.ualberta.ca/files/w9505189h
Chicago Manual of Style (16th Edition):
Zhai, Zhichun. “Robust Sampling Designs for Model-Based
Stratification.” 2014. Masters Thesis, University of Alberta. Accessed December 06, 2019.
https://era.library.ualberta.ca/files/w9505189h.
MLA Handbook (7th Edition):
Zhai, Zhichun. “Robust Sampling Designs for Model-Based
Stratification.” 2014. Web. 06 Dec 2019.
Vancouver:
Zhai Z. Robust Sampling Designs for Model-Based
Stratification. [Internet] [Masters thesis]. University of Alberta; 2014. [cited 2019 Dec 06].
Available from: https://era.library.ualberta.ca/files/w9505189h.
Council of Science Editors:
Zhai Z. Robust Sampling Designs for Model-Based
Stratification. [Masters Thesis]. University of Alberta; 2014. Available from: https://era.library.ualberta.ca/files/w9505189h

Texas A&M University
9.
Conway, Dylan Taylor.
Vision-Aided Navigation: Improved Measurements Models and a Data Driven Approach.
Degree: 2016, Texas A&M University
URL: http://hdl.handle.net/1969.1/159100
► Vision-aided navigation is the process of fusing data from visual cameras with other information sources to provide vehicle state estimation. Fusing information from multiple sources…
(more)
▼ Vision-aided navigation is the process of fusing data from visual cameras with other information sources to provide vehicle state estimation. Fusing information from multiple sources in a statistically optimal manner requires accurate stochastic models of each information source. Developing such a model for visual measurements presents a number of challenges.
Vision-aided navigation systems rely on a set of computer vision methods known as feature detection and tracking to abstract visual camera images into a data source amenable to state estimation. It is nearly universally assumed that the measurements produced by these methods have independent and identically distributed (IID) errors. This study presents evidence that directly contradicts these assumptions. Novel models for visual measurements that eliminate the IID assumption are developed. Estimators are designed around the models and tested. Results demonstrate a significant performance advantage over existing methods and also reveal new challenges and paradoxes that motivate further research.
In addition to improving vision-aided navigation models, a set of flexible and
robust data-driven estimation techniques are developed and demonstrated on both canonical problems and problems in vision-aided navigation.
Advisors/Committee Members: Junkins, John L (advisor), Hurtado, John E (committee member), Mortari, Daniele (committee member), Chai, Jinxiang (committee member).
Subjects/Keywords: Navigation; Computer vision; Robust estimation
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APA ·
Chicago ·
MLA ·
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APA (6th Edition):
Conway, D. T. (2016). Vision-Aided Navigation: Improved Measurements Models and a Data Driven Approach. (Thesis). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/159100
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Conway, Dylan Taylor. “Vision-Aided Navigation: Improved Measurements Models and a Data Driven Approach.” 2016. Thesis, Texas A&M University. Accessed December 06, 2019.
http://hdl.handle.net/1969.1/159100.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Conway, Dylan Taylor. “Vision-Aided Navigation: Improved Measurements Models and a Data Driven Approach.” 2016. Web. 06 Dec 2019.
Vancouver:
Conway DT. Vision-Aided Navigation: Improved Measurements Models and a Data Driven Approach. [Internet] [Thesis]. Texas A&M University; 2016. [cited 2019 Dec 06].
Available from: http://hdl.handle.net/1969.1/159100.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Conway DT. Vision-Aided Navigation: Improved Measurements Models and a Data Driven Approach. [Thesis]. Texas A&M University; 2016. Available from: http://hdl.handle.net/1969.1/159100
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Coventry University
10.
Davies, I.
Optimal control of functional differential systems with application to transmission lines.
Degree: PhD, 2015, Coventry University
URL: http://curve.coventry.ac.uk/open/items/11749285-3b9a-44cf-bc72-0d02c27141bc/1
;
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.685591
► Robust control is an aspect of control theory which explicitly considers uncertainties and how they affect robust stability in the analysis and design of control…
(more)
▼ Robust control is an aspect of control theory which explicitly considers uncertainties and how they affect robust stability in the analysis and design of control decisions. A basic requirement for optimal robust guaranteed control in a real life scenario is the stabilization of systems in the presence of uncertainties or perturbations. In this thesis, the system uncertainties are embedded into a norm bounded uncertainty elements. The perturbation function is modelled as a class of nonlinear uncertainty influencing a neutral system with infinite delay. It is assumed to have delay in state and is input dependent; which implies the effect of control action can directly or indirectly influence the nonlinear perturbation function. In recognition of the fact that stability and controllability are fundamental in obtaining the optimal robust guaranteed cost control design for neutral functional integro-differential systems with infinite delays (NFDSID), total asymptotic stability results were developed using Razumikhin technique, unique properties of eigenvalues, and the uniform stability properties of the functional difference operator for neutral systems. The new results, obtained using Razumikhin’s technique, extend and complement basic stability results in neutral systems to NFDSID. Novel sufficient conditions were developed for the null controllability of nonlinear NFDSID when the controls are constrained. By exploring the knowledge gained through other controllability results; conditions are placed on the perturbation function. This guaranteed that, if the uncontrolled system is uniformly asymptotically stable, and the controlled system satisfies a full rank condition, then the control system is null controllable with constraint if it satisfies some algebraic conditions. The investigation of optimal robust guaranteed cost control method has resulted in a novel delay dependent stability criterion for a nonlinear NFDSID with a given quadratic cost function. The new design is based on a model transformation technique, Lyapunov matrix equation and Lyapunov-Razumikhin stability approach. The Lyapunov-Razumikhin technique is adopted for this investigation because it is considered more scalable for optimal robust guaranteed cost control design for NFDSID. It is demonstrated that a memory less feedback control can be synthesized appropriately to ensure: (i) the closed-loop systems robust stability, and (ii) guarantee that the closed-loop cost function value remains within a specified bound. The problem of designing the optimal guaranteed cost controller is also realized in terms of inequalities. The Lyapunov-Krasovskii method is used to obtain stability conditions in comparison to the Razumikhin method. This method leads to linear matrix inequality (LMI) for the delay-independent case which is known to be conservative. To illustrate the potential practical applicability of the theoretical results; a cascade connection of two fully filled chemical solution mixers, and an integrated lossless transmission line which has a…
Subjects/Keywords: 629.8; control theory; robust control
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Davies, I. (2015). Optimal control of functional differential systems with application to transmission lines. (Doctoral Dissertation). Coventry University. Retrieved from http://curve.coventry.ac.uk/open/items/11749285-3b9a-44cf-bc72-0d02c27141bc/1 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.685591
Chicago Manual of Style (16th Edition):
Davies, I. “Optimal control of functional differential systems with application to transmission lines.” 2015. Doctoral Dissertation, Coventry University. Accessed December 06, 2019.
http://curve.coventry.ac.uk/open/items/11749285-3b9a-44cf-bc72-0d02c27141bc/1 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.685591.
MLA Handbook (7th Edition):
Davies, I. “Optimal control of functional differential systems with application to transmission lines.” 2015. Web. 06 Dec 2019.
Vancouver:
Davies I. Optimal control of functional differential systems with application to transmission lines. [Internet] [Doctoral dissertation]. Coventry University; 2015. [cited 2019 Dec 06].
Available from: http://curve.coventry.ac.uk/open/items/11749285-3b9a-44cf-bc72-0d02c27141bc/1 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.685591.
Council of Science Editors:
Davies I. Optimal control of functional differential systems with application to transmission lines. [Doctoral Dissertation]. Coventry University; 2015. Available from: http://curve.coventry.ac.uk/open/items/11749285-3b9a-44cf-bc72-0d02c27141bc/1 ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.685591

Oregon State University
11.
Mokhtari, Zahra.
Incorporating Uncertainty in Truckload Relay Network Design.
Degree: PhD, Industrial Engineering, 2017, Oregon State University
URL: http://hdl.handle.net/1957/60591
► In a relay network for full truckload (TL) transportation, facilities known as relay points (RPs) serve as exchange points where truck drivers can exchange trailers.…
(more)
▼ In a relay network for full truckload (TL) transportation, facilities known as relay points (RPs) serve as exchange points where truck drivers can exchange trailers. This would help carriers to assign more regular tours to drivers when compared to the excessively long tours that exist in the traditional Point-to-Point (PtP) method. More regular driver tours would help to alleviate the driver turnover problem that significantly affects the industry. However, modifying the current system and completely replacing it with relay networks would not be practical. Instead a hybrid configuration known as truckload relay network design with mixed fleet dispatching (TLRND-MD) would allow certain loads to be delivered via the relay network while others are still served via the traditional PtP method. The strategic design of these hybrid networks entails locating RPs, determining the appropriate dispatching method for truckloads, and the selection of the appropriate route for those truckloads that are dispatched over the relay network. Most of the existing literature on the strategic design of truckload relay networks assumes deterministic parameters in the formulation of mathematical programs used to find optimal solutions. However, the TL transportation environment
can be affected by uncertainty in terms of demands, travel times, transportation costs, disruptions, etc. Understanding the impacts of uncertainty on the design of relay networks for TL transportation is essential for making effective decisions. In this dissertation, we aim to explicitly incorporate demand uncertainty in the formulation of the TLRND-MD and the capacitated TLRND-MD problems.
First, a
robust optimization approach with a controllable level of conservatism is used to develop the
robust counterpart for an existing mathematical model for the TLRND-MD problem. Solutions that perform well under any possible realization of the demand satisfying an uncertainty set are obtained for different network instances to show how incorporating uncertainty affects the total facility installation and transportation costs as well as other characteristics of the resulting truckload relay networks such as the required number of RPs. Then, we develop a two-stage stochastic programming formulation to capture demand uncertainty when demand is considered as a random variable governed by a posited probability distribution. Therefore, this approach allows us to optimize the expected transportation costs over scenarios of demand realizations. A Monte-Carlo simulation-based sampling algorithm known as Sample Average Approximation (SAA) is used to approximate the objective function value. Computational results are analyzed and compared with solutions obtained for the deterministic scenario. Finally, we propose to integrate the
robust optimization and stochastic optimization approaches to incorporate demand uncertainty when the variability parameter which controls the level of conservatism in the
robust formulation is also uncertain. We assume that the variability parameter follows…
Advisors/Committee Members: Vergara, Hector A. (advisor), Fuentes, Claudio (committee member).
Subjects/Keywords: truckload transportation; Robust optimization
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Mokhtari, Z. (2017). Incorporating Uncertainty in Truckload Relay Network Design. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/60591
Chicago Manual of Style (16th Edition):
Mokhtari, Zahra. “Incorporating Uncertainty in Truckload Relay Network Design.” 2017. Doctoral Dissertation, Oregon State University. Accessed December 06, 2019.
http://hdl.handle.net/1957/60591.
MLA Handbook (7th Edition):
Mokhtari, Zahra. “Incorporating Uncertainty in Truckload Relay Network Design.” 2017. Web. 06 Dec 2019.
Vancouver:
Mokhtari Z. Incorporating Uncertainty in Truckload Relay Network Design. [Internet] [Doctoral dissertation]. Oregon State University; 2017. [cited 2019 Dec 06].
Available from: http://hdl.handle.net/1957/60591.
Council of Science Editors:
Mokhtari Z. Incorporating Uncertainty in Truckload Relay Network Design. [Doctoral Dissertation]. Oregon State University; 2017. Available from: http://hdl.handle.net/1957/60591

Georgia Tech
12.
Zhang, Linyu.
A two-stage probability based, conservatism reduction methodology for traditional Minimax robust control system design.
Degree: PhD, Aerospace Engineering, 2016, Georgia Tech
URL: http://hdl.handle.net/1853/56650
► A two-stage, probability-based controller design methodology is proposed to reduce the conservatism from traditional robust minimax controller design method, by relaxing the norm-bounded parameter uncertainty…
(more)
▼ A two-stage, probability-based controller design methodology is proposed to reduce the conservatism from traditional
robust minimax controller design method, by relaxing the norm-bounded parameter uncertainty constraint and incorporating uncertain parameters' probabilistic information.
Advisors/Committee Members: Mavris, Dimitri (advisor), Kennedy, Graeme (advisor), Duncan, Scott (advisor), Deshpande, Ameet (advisor), Anubi, Olugbenga (advisor).
Subjects/Keywords: Robust minimax control; LQR; Probability
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Zhang, L. (2016). A two-stage probability based, conservatism reduction methodology for traditional Minimax robust control system design. (Doctoral Dissertation). Georgia Tech. Retrieved from http://hdl.handle.net/1853/56650
Chicago Manual of Style (16th Edition):
Zhang, Linyu. “A two-stage probability based, conservatism reduction methodology for traditional Minimax robust control system design.” 2016. Doctoral Dissertation, Georgia Tech. Accessed December 06, 2019.
http://hdl.handle.net/1853/56650.
MLA Handbook (7th Edition):
Zhang, Linyu. “A two-stage probability based, conservatism reduction methodology for traditional Minimax robust control system design.” 2016. Web. 06 Dec 2019.
Vancouver:
Zhang L. A two-stage probability based, conservatism reduction methodology for traditional Minimax robust control system design. [Internet] [Doctoral dissertation]. Georgia Tech; 2016. [cited 2019 Dec 06].
Available from: http://hdl.handle.net/1853/56650.
Council of Science Editors:
Zhang L. A two-stage probability based, conservatism reduction methodology for traditional Minimax robust control system design. [Doctoral Dissertation]. Georgia Tech; 2016. Available from: http://hdl.handle.net/1853/56650

Oregon State University
13.
Hussein, Osama Abdelaziz.
Robust estimation for the mean of skewed distributions.
Degree: PhD, Statistics, 1989, Oregon State University
URL: http://hdl.handle.net/1957/40205
► Common estimators of the mean g(θ) = Jx dFθ(x) in skewed distribution models may be sensitive to contamination by a few large observations. It is…
(more)
▼ Common estimators of the mean g(θ) = Jx dFθ(x) in skewed distribution models may be sensitive to contamination by a few large observations. It is then desirable to consider
robust estimators g(θ) .The approach of Hampel (1968), who defines an estimator θ for the parameter vector θ to be optimal B-
robust if it is asymptotically efficient
subject to a given upper bound on the norm of its influence function, is used to construct optimal
robust estimators for g(θ) . An estimator g(θ) is defined to be functional invariant when it preserves the robustness and optimality properties of a
robust estimator θ . The invariance of the optimal B-
robust estimators are used to construct optimal B-
robust estimator for the mean of multi-parameter distributions. An algorithm for computing the optimal B-
robust score function for any distribution is developed. An optimal B-
robust L-estimator for the location-scale family is also constructed. Asymptotic relative efficiencies of the optimal B-
robust estimators for the mean of the lognormal and Weibull distributions are computed and compared with those for several other
robust and nonrobust estimators. Type II censoring is considered as a method to achieve B-robustness. The optimal proportion of trimming is defined as that proportion which produces the smallest asymptotic MSE in the class of censored data estimators
subject to some upper bound on the influence function. Several common estimators for censored data, including the maximum likelihood, a modified maximum likelihood [Tiku et al., 1986] and an L-estimator [Chernoff, et al. ,1967], are shown to have larger MSE than the optimal B-
robust estimator with the same upper bound on the influence function. The optimal proportions of trimming are computed for the MLE and L-estimator of the mean of lognormal and Weibull distributions. A simulation study of nine estimators for the mean of a lognormal distribution shows that the optimal B-
robust estimator has the smallest MSE for the sample size and contamination cases considered. All B-
robust estimators considered are found to be better than the nonrobust ones with regard to both MSE and bias.
Advisors/Committee Members: Thomas, David R. (advisor).
Subjects/Keywords: Robust statistics
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Hussein, O. A. (1989). Robust estimation for the mean of skewed distributions. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/40205
Chicago Manual of Style (16th Edition):
Hussein, Osama Abdelaziz. “Robust estimation for the mean of skewed distributions.” 1989. Doctoral Dissertation, Oregon State University. Accessed December 06, 2019.
http://hdl.handle.net/1957/40205.
MLA Handbook (7th Edition):
Hussein, Osama Abdelaziz. “Robust estimation for the mean of skewed distributions.” 1989. Web. 06 Dec 2019.
Vancouver:
Hussein OA. Robust estimation for the mean of skewed distributions. [Internet] [Doctoral dissertation]. Oregon State University; 1989. [cited 2019 Dec 06].
Available from: http://hdl.handle.net/1957/40205.
Council of Science Editors:
Hussein OA. Robust estimation for the mean of skewed distributions. [Doctoral Dissertation]. Oregon State University; 1989. Available from: http://hdl.handle.net/1957/40205

Hong Kong University of Science and Technology
14.
Wang, Jiaheng.
Robust designs for wireless communication systems.
Degree: 2010, Hong Kong University of Science and Technology
URL: https://doi.org/10.14711/thesis-b1114881
;
http://repository.ust.hk/ir/bitstream/1783.1-7017/1/th_redirect.html
► During the past decades, there has been an increasing demand of high-rate services to be supported by wireless communications. Among different solutions that have been…
(more)
▼ During the past decades, there has been an increasing demand of high-rate services to be supported by wireless communications. Among different solutions that have been proposed to meet this demand, the utilization of multiple antennas, which leads to multi-input multi-output (MIMO) transmissions, arises as one of the best candidates. Fundamentally, MIMO channels constitute a unified way to model a wide range of different physical channels, for example wireless multi-antenna channels and wireline Digital Subscriber Line (DSL) channels. The full potential of MIMO channels is achieved by exploring the channel state information (CSI). It is well known that the performance of MIMO systems depends, to a substantial extent, on the quantity and quality of CSI that is available at the communication ends. However, in wireless communications, CSI, especially CSI at the transmitter (CSIT), is seldom perfectly known, due to many issues such as estimation or feedback errors. Therefore, a practical MIMO system must utilize CSI and at the same time has the ability to combat against the imperfectness of CSI, or, in other words, is robust to imperfect CSI. In this thesis, we apply the philosophy of worst-case robustness, which originates from robust optimization in mathematical programming, to designing wireless communication systems, especially MIMO systems. Firstly, we focus on designing robust transmit strategies for a MIMO link by optimizing the worst-case received signal-to-noise ratio (SNR) or the error probability if a space-time block code (STBC) is used. The attention is not only on finding the numerical solutions to the formulated maximin and quality-of-service (QoS) problems through convex optimization, but also on searching the optimal transmit directions of the robust precoder, which lead to a closed-form solution that provides important insights. Secondly, we investigate the robustness of beamforming, a simple strategy that transmits data along only one spatial direction. Because of its simplicity, beamforming has been doubted to be sensitive to inaccuracies of CSIT. However, we show, from the perspective of worst-case robustness, that beamforming is actually robust in some sense, and thus has the ability to combat against the imperfectness of CSIT, especially when channel dimensions or channel errors are small. Thirdly, we design robust precoders for MIMO communication systems with pre-fixed receivers under the minimum mean square error (MMSE) criterion. Different types of CSI are taken into account through either the stochastic model or the deterministic (worst-case) model. Our focus is on the worst-case robust design. The optimal transmit directions are found in all considered situations, hence simplifying the matrix-valued problems to scalar power allocations problems, for which either closed-form solutions or efficient numerical methods are provided. Finally, we consider a robust design of a cognitive radio (CR) system, consisting of multiple primary users (PUs) and multiple secondary users (SUs) over either…
Subjects/Keywords: Wireless communication systems; Robust control
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Wang, J. (2010). Robust designs for wireless communication systems. (Thesis). Hong Kong University of Science and Technology. Retrieved from https://doi.org/10.14711/thesis-b1114881 ; http://repository.ust.hk/ir/bitstream/1783.1-7017/1/th_redirect.html
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Wang, Jiaheng. “Robust designs for wireless communication systems.” 2010. Thesis, Hong Kong University of Science and Technology. Accessed December 06, 2019.
https://doi.org/10.14711/thesis-b1114881 ; http://repository.ust.hk/ir/bitstream/1783.1-7017/1/th_redirect.html.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Wang, Jiaheng. “Robust designs for wireless communication systems.” 2010. Web. 06 Dec 2019.
Vancouver:
Wang J. Robust designs for wireless communication systems. [Internet] [Thesis]. Hong Kong University of Science and Technology; 2010. [cited 2019 Dec 06].
Available from: https://doi.org/10.14711/thesis-b1114881 ; http://repository.ust.hk/ir/bitstream/1783.1-7017/1/th_redirect.html.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Wang J. Robust designs for wireless communication systems. [Thesis]. Hong Kong University of Science and Technology; 2010. Available from: https://doi.org/10.14711/thesis-b1114881 ; http://repository.ust.hk/ir/bitstream/1783.1-7017/1/th_redirect.html
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Baylor University
15.
[No author].
Flexible spatial interpolation and uncertainty quantification : with applications in radar rainfall estimation.
Degree: 2016, Baylor University
URL: http://hdl.handle.net/2104/9902
► In quantitative precipitation estimation, prediction and uncertainty quantification are difficult due to the errors in the available data sources. Weather radars are used to predict…
(more)
▼ In quantitative precipitation estimation, prediction and uncertainty quantification are difficult due to the errors in the available data sources. Weather radars are used to predict precipitation with high spatial and temporal resolution, but do not measure ground level rainfall intensity, which is the quantity of interest. To account for the error resulting from the use of a proxy variable, predictions are calibrated to ground level measurements of the rainfall intensity rate with spatial prediction methods. For prediction at a specific location, kriging is a simple and popular spatial prediction method, but suffers from several shortcomings. In particular, prediction is quite unstable and fails when sample sizes are small and the error normality assumption necessary for uncertainty quantification with kriging predictors may not hold in real data sets. In this dissertation, we propose two fexible and efficient deterministic spatial predictors, with several advantages over kriging. We then further propose a
robust data fusion uncertainty quantification scheme to produce gridded prediction output with stochastic errors. These methods are illustrated with radar rainfall data.
Advisors/Committee Members: Song, Joon Jin, 1974- (advisor).
Subjects/Keywords: Spatial. Flexible. Robust. Data fusion.
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APA ·
Chicago ·
MLA ·
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Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
author], [. (2016). Flexible spatial interpolation and uncertainty quantification : with applications in radar rainfall estimation.
(Thesis). Baylor University. Retrieved from http://hdl.handle.net/2104/9902
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
author], [No. “Flexible spatial interpolation and uncertainty quantification : with applications in radar rainfall estimation.
” 2016. Thesis, Baylor University. Accessed December 06, 2019.
http://hdl.handle.net/2104/9902.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
author], [No. “Flexible spatial interpolation and uncertainty quantification : with applications in radar rainfall estimation.
” 2016. Web. 06 Dec 2019.
Vancouver:
author] [. Flexible spatial interpolation and uncertainty quantification : with applications in radar rainfall estimation.
[Internet] [Thesis]. Baylor University; 2016. [cited 2019 Dec 06].
Available from: http://hdl.handle.net/2104/9902.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
author] [. Flexible spatial interpolation and uncertainty quantification : with applications in radar rainfall estimation.
[Thesis]. Baylor University; 2016. Available from: http://hdl.handle.net/2104/9902
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Penn State University
16.
Ding, Xibei.
Modern Control System Design for Hydro-power Plant.
Degree: MS, Mechanical Engineering, 2011, Penn State University
URL: https://etda.libraries.psu.edu/catalog/11831
► This thesis addresses dynamic model and advance controller design for entire Hydro-power plant. Although hydro-power has the best payback ratio and the highest efficiency in…
(more)
▼ This thesis addresses dynamic model and advance
controller design for entire Hydro-power plant. Although
hydro-power has the best payback ratio and the highest efficiency
in the all electricity generating method due to the constant
upgrading turbine, tunnel and reservoir design, most of the plants’
control systems are still using the technique developed in the 60s.
It limits the operating range of the system such as specific water
flow rate and reservoir level. As energy demands increasing every
day, it is necessary to develop more flexible control system for
the plants to operate at different situations. The goal of this
thesis is to design a nonlinear controller for the hydro-power
plant in order to improve its ability to handle different operating
conditions. The works is more focus on load frequency control. In
order to achieve such goal, the detail dynamic model of hydro-power
plant has been studied and presented, especially the turbine
penstock transient response. Several advance control algorithms
have been implanted on the hydro-power system, such as sliding mode
control with , feedback linearization with sliding mode control and
second order sliding mode control. The simulation of each
controller has been compared with traditional linear optimal
controller. The results of this thesis show that the benefits of
these advance controllers.
Subjects/Keywords: robust control; sliding mode; hydropower
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APA ·
Chicago ·
MLA ·
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CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Ding, X. (2011). Modern Control System Design for Hydro-power Plant. (Masters Thesis). Penn State University. Retrieved from https://etda.libraries.psu.edu/catalog/11831
Chicago Manual of Style (16th Edition):
Ding, Xibei. “Modern Control System Design for Hydro-power Plant.” 2011. Masters Thesis, Penn State University. Accessed December 06, 2019.
https://etda.libraries.psu.edu/catalog/11831.
MLA Handbook (7th Edition):
Ding, Xibei. “Modern Control System Design for Hydro-power Plant.” 2011. Web. 06 Dec 2019.
Vancouver:
Ding X. Modern Control System Design for Hydro-power Plant. [Internet] [Masters thesis]. Penn State University; 2011. [cited 2019 Dec 06].
Available from: https://etda.libraries.psu.edu/catalog/11831.
Council of Science Editors:
Ding X. Modern Control System Design for Hydro-power Plant. [Masters Thesis]. Penn State University; 2011. Available from: https://etda.libraries.psu.edu/catalog/11831

Penn State University
17.
Gauthama Sankar, Aswini.
Time Allocation in Projects under Uncertainty: A Robust
Optimization Approach.
Degree: MS, Industrial Engineering, 2008, Penn State University
URL: https://etda.libraries.psu.edu/catalog/8499
► Traditional models of project management have laid emphasis on scheduling of operations to meet deadlines. The research presented here approaches project management as a resource…
(more)
▼ Traditional models of project management have laid
emphasis on scheduling of operations to meet deadlines. The
research presented here approaches project management as a resource
allocation problem where project completion is constrained by the
man-hours available from those involved in the project. The
variations in the relation between completion of project and time
allocated to it are influenced by subjective factors. Hence there
is a problem of inability to fit a standard or well-defined
distribution. This thesis addresses this problem by a robust
optimization approach. The budget of uncertainty is set by the
decision maker, consequently controlling the extent of variation in
the parameters whose bounds of uncertainty are known. The optimal
allocation of time to the tasks in the project has been
provided.
Subjects/Keywords: Robust Optimization; Project Management;
Uncertainty
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APA (6th Edition):
Gauthama Sankar, A. (2008). Time Allocation in Projects under Uncertainty: A Robust
Optimization Approach. (Masters Thesis). Penn State University. Retrieved from https://etda.libraries.psu.edu/catalog/8499
Chicago Manual of Style (16th Edition):
Gauthama Sankar, Aswini. “Time Allocation in Projects under Uncertainty: A Robust
Optimization Approach.” 2008. Masters Thesis, Penn State University. Accessed December 06, 2019.
https://etda.libraries.psu.edu/catalog/8499.
MLA Handbook (7th Edition):
Gauthama Sankar, Aswini. “Time Allocation in Projects under Uncertainty: A Robust
Optimization Approach.” 2008. Web. 06 Dec 2019.
Vancouver:
Gauthama Sankar A. Time Allocation in Projects under Uncertainty: A Robust
Optimization Approach. [Internet] [Masters thesis]. Penn State University; 2008. [cited 2019 Dec 06].
Available from: https://etda.libraries.psu.edu/catalog/8499.
Council of Science Editors:
Gauthama Sankar A. Time Allocation in Projects under Uncertainty: A Robust
Optimization Approach. [Masters Thesis]. Penn State University; 2008. Available from: https://etda.libraries.psu.edu/catalog/8499

University of Manchester
18.
Engelken, So¨nke Andreas.
On the choice of the uncertainty structure in robust control problems : a distance measure approach.
Degree: PhD, 2012, University of Manchester
URL: https://www.research.manchester.ac.uk/portal/en/theses/on-the-choice-of-the-uncertainty-structure-in-robust-control-problems –
a-distance-measure-approach(ee23ca7c-7b05-4b58-b132-d2c25590bd99).html
;
http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.555554
► This thesis is concerned with the choice of the uncertainty structure in robust control problems. This choice affects the optimization carried out to obtain a…
(more)
▼ This thesis is concerned with the choice of the uncertainty structure in robust control problems. This choice affects the optimization carried out to obtain a robust feedback controller, and determines how robust a feedback loop will be to discrepancies in the parameters or dynamics of the plant model. Firstly, it presents readily applicable distance measures, robust stability margins and associated robust stability and robust performance theorems for several commonly used uncertainty structures for linear time-invariant systems (additive, multiplicative, inverse multiplicative, inverse additive, right coprime factor uncertainty).Secondly, the thesis discusses the robust stabilization problem for linear plants with a coprime factor uncertainty structure where the coprime factors of the plant are not necessarily normalized. The problem considered here is a generalization of the normalized coprime factor robust stabilization problem. It is shown that the minimum of the ratio of (non-normalized) coprime factor distance over (non-normalized) coprime factor robust stability margin, termed the robustness ratio, is an important bound in robust stability and performance results. A synthesis method is proposed which maintains a lower bound on the normalized coprimefactor robust stability margin (as a proxy for nominal performance) while also robustly stabilizing a particular perturbed plant, potentially far outside a normalized coprime factor neighbourhood of the nominal plant. The coprime factor synthesis problem is also considered in a state-space framework. It is shown that it admits a simple and intuitive controller implementation in observer form. Via the solution of one Riccati equation, an optimally robust observer gain L can be obtained for any state-feedback matrix F. One particular method for obtaining a suitable F is also proposed, ensuring that the feedback loop is particularly robust to uncertain lightly damped poles and zeros.
Subjects/Keywords: 629.8; robust control; distance measures
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Engelken, S. A. (2012). On the choice of the uncertainty structure in robust control problems : a distance measure approach. (Doctoral Dissertation). University of Manchester. Retrieved from https://www.research.manchester.ac.uk/portal/en/theses/on-the-choice-of-the-uncertainty-structure-in-robust-control-problems – a-distance-measure-approach(ee23ca7c-7b05-4b58-b132-d2c25590bd99).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.555554
Chicago Manual of Style (16th Edition):
Engelken, So¨nke Andreas. “On the choice of the uncertainty structure in robust control problems : a distance measure approach.” 2012. Doctoral Dissertation, University of Manchester. Accessed December 06, 2019.
https://www.research.manchester.ac.uk/portal/en/theses/on-the-choice-of-the-uncertainty-structure-in-robust-control-problems – a-distance-measure-approach(ee23ca7c-7b05-4b58-b132-d2c25590bd99).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.555554.
MLA Handbook (7th Edition):
Engelken, So¨nke Andreas. “On the choice of the uncertainty structure in robust control problems : a distance measure approach.” 2012. Web. 06 Dec 2019.
Vancouver:
Engelken SA. On the choice of the uncertainty structure in robust control problems : a distance measure approach. [Internet] [Doctoral dissertation]. University of Manchester; 2012. [cited 2019 Dec 06].
Available from: https://www.research.manchester.ac.uk/portal/en/theses/on-the-choice-of-the-uncertainty-structure-in-robust-control-problems – a-distance-measure-approach(ee23ca7c-7b05-4b58-b132-d2c25590bd99).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.555554.
Council of Science Editors:
Engelken SA. On the choice of the uncertainty structure in robust control problems : a distance measure approach. [Doctoral Dissertation]. University of Manchester; 2012. Available from: https://www.research.manchester.ac.uk/portal/en/theses/on-the-choice-of-the-uncertainty-structure-in-robust-control-problems – a-distance-measure-approach(ee23ca7c-7b05-4b58-b132-d2c25590bd99).html ; http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.555554

Cornell University
19.
Zhang, Xuan.
Robust Design With Increasing Device Variability In Sub-Micron Cmos And Beyond: A Bottom-Up Framework
.
Degree: 2012, Cornell University
URL: http://hdl.handle.net/1813/29516
► My Ph.D. research develops a tiered systematic framework for designing process-independent and variability-tolerant integrated circuits. This bottom-up approach starts from designing self-compensated circuits as accurate…
(more)
▼ My Ph.D. research develops a tiered systematic framework for designing process-independent and variability-tolerant integrated circuits. This bottom-up approach starts from designing self-compensated circuits as accurate building blocks, and moves up to sub-systems with negative feedback loop and full system-level calibration. a. Design methodology for self-compensated circuits My collaborators and I proposed a novel design methodology that offers designers intuitive insights to create new topologies that are self-compensated and intrinsically process-independent without external reference. It is the first systematic approaches to create "correct-by-design" low variation circuits, and can scale beyond sub-micron CMOS nodes and extend to emerging non-silicon nano-devices. We demonstrated this methodology with an addition-based current source in both 180nm and 90nm CMOS that has 2.5x improved process variation and 6.7x improved temperature sensitivity, and a GHz ring oscillator (RO) in 90nm CMOS with 65% reduction in frequency variation and 85ppm/oC temperature sensitivity. Compared to previous designs, our RO exhibits the lowest temperature sensitivity and process variation, while consuming the least amount of power in the GHz range. Another self-compensated low noise amplifiers (LNA) we designed also exhibits 3.5x improvement in both process and temperature variation and enhanced supply voltage regulation. As part of the efforts to improve the accuracy of the building blocks, I also demonstrated experimentally that due to "diversification effect", the upper bound of circuit accuracy can be better than the minimum tolerance of on-chip devices (MOSFET, R, C, and L), which allows circuit designers to achieve better accuracy with less chip area and power consumption. b. Negative feedback loop based sub-system I explored the feasibility of using high-accuracy DC blocks as low-variation "rulers-on-chip" to regulate high-speed high-variation blocks (e.g. GHz oscillators). In this way, the trade-off between speed (which can be translated to power) and variation can be effectively de-coupled. I demonstrated this proposed structure in an integrated GHz ring oscillators that achieve 2.6% frequency accuracy and 5x improved temperature sensitivity in 90nm CMOS. c. Power-efficient system-level calibration To enable full system-level calibration and further reduce power consumption in active feedback loops, I implemented a successive-approximation-based calibration scheme in a tunable GHz VCO for low power impulse radio in 65nm CMOS. Events such as power-up and temperature drifts are monitored by the circuits and used to trigger the need-based frequency calibration. With my proposed scheme and circuitry, the calibration can be performed under 135pJ and the oscillator can operate between 0.8 and 2GHz at merely 40[MICRO SIGN]W, which is ideal for extremely power-and-cost constraint applications such as implantable biomedical device and wireless sensor networks.
Advisors/Committee Members: Afshari, Ehsan (committeeMember), Samorodnitsky, Gennady (committeeMember).
Subjects/Keywords: Circuit Design;
Variability;
Robust System
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Zhang, X. (2012). Robust Design With Increasing Device Variability In Sub-Micron Cmos And Beyond: A Bottom-Up Framework
. (Thesis). Cornell University. Retrieved from http://hdl.handle.net/1813/29516
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Zhang, Xuan. “Robust Design With Increasing Device Variability In Sub-Micron Cmos And Beyond: A Bottom-Up Framework
.” 2012. Thesis, Cornell University. Accessed December 06, 2019.
http://hdl.handle.net/1813/29516.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Zhang, Xuan. “Robust Design With Increasing Device Variability In Sub-Micron Cmos And Beyond: A Bottom-Up Framework
.” 2012. Web. 06 Dec 2019.
Vancouver:
Zhang X. Robust Design With Increasing Device Variability In Sub-Micron Cmos And Beyond: A Bottom-Up Framework
. [Internet] [Thesis]. Cornell University; 2012. [cited 2019 Dec 06].
Available from: http://hdl.handle.net/1813/29516.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Zhang X. Robust Design With Increasing Device Variability In Sub-Micron Cmos And Beyond: A Bottom-Up Framework
. [Thesis]. Cornell University; 2012. Available from: http://hdl.handle.net/1813/29516
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Louisiana State University
20.
Kong, Lili.
Controller reduction for linear systems.
Degree: PhD, Electrical and Computer Engineering, 2012, Louisiana State University
URL: etd-03292012-162739
;
https://digitalcommons.lsu.edu/gradschool_dissertations/2506
► This dissertation proposes some H-infinity and H2 performance preserving controller reduction methods for linear systems. The proposed methods can guarantee robust stability and performance for…
(more)
▼ This dissertation proposes some H-infinity and H2 performance preserving controller reduction methods for linear systems. The proposed methods can guarantee robust stability and performance for the closed-loop system with the reduced order controllers. Several H-infinity stability and performance preserving controller reduction methods are proposed in this dissertation. It is shown that the weighting functions used in the proposed controller reduction methods can be directly obtained from the parametrization of the H-infinity controllers. Hence, comparing with the most existing controller reduction approaches, the proposed controller reduction methods require less computation and are easy to apply. At the same time, several algorithms are proposed to simplify some existing controller reduction algorithms. Examples are explored to demonstrate the advantages of the proposed controller reduction methods. The parallel problems are also discussed for H2 performance preserving controller reductions. Furthermore, some parallel controller reduction methods are presented to reduce controllers for preserving the closed-loop system stability and performance. Similarly, relevant simplified algorithms are also proposed for those existing H2 performance preserving controller reduction algorithms. One example is explored to demonstrate those controller reduction methods. Another H-infinity controller reduction method is introduced for SISO system to maintain the closed-loop system stability and performance. This approach provides upper bound on the controller weighting function for general SISO H-infinity control problem, and then a lower order controller is provided using frequency weighted model reduction method, which preserves stability and performance for the closed-loop system. Finally, some possible future work are outlined.
Subjects/Keywords: Robust Control; Model/Controller Reduction
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Kong, L. (2012). Controller reduction for linear systems. (Doctoral Dissertation). Louisiana State University. Retrieved from etd-03292012-162739 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2506
Chicago Manual of Style (16th Edition):
Kong, Lili. “Controller reduction for linear systems.” 2012. Doctoral Dissertation, Louisiana State University. Accessed December 06, 2019.
etd-03292012-162739 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2506.
MLA Handbook (7th Edition):
Kong, Lili. “Controller reduction for linear systems.” 2012. Web. 06 Dec 2019.
Vancouver:
Kong L. Controller reduction for linear systems. [Internet] [Doctoral dissertation]. Louisiana State University; 2012. [cited 2019 Dec 06].
Available from: etd-03292012-162739 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2506.
Council of Science Editors:
Kong L. Controller reduction for linear systems. [Doctoral Dissertation]. Louisiana State University; 2012. Available from: etd-03292012-162739 ; https://digitalcommons.lsu.edu/gradschool_dissertations/2506

Oregon State University
21.
Piacenza, Joseph R.
Design of robust infrastructure systems incorporating user behavior.
Degree: PhD, Mechanical Engineering, 2014, Oregon State University
URL: http://hdl.handle.net/1957/50656
► Infrastructure systems are a critical component supporting today's modern society. From power grids to traffic networks, we rely on these systems to perform as intended,…
(more)
▼ Infrastructure systems are a critical component supporting today's modern society. From
power grids to traffic networks, we rely on these systems to perform as intended, despite
the various sources of uncertainty present in their operation. Designing for system
robustness can help mitigate the impact of failures caused by unexpected events.
However, this poses a challenge as the distributed topology and complex heterogeneous
nature of infrastructure systems causes unanticipated behavior when subjected to a single
failure event. In addition, infrastructure systems often require multiple individuals (i.e.,
humans) to control nominal operation, as well as minimize performance loss due to
failures. This human in-the-loop system interaction further increases complexity when
designing these systems. This dissertation presents a concept-stage framework for
robust
infrastructure system design that explores emergent behavior due to network topology,
subsystem interactions, and the impact of human behavior driving these interactions.
Motivated by historical failures in the North American Power Grid, several case studies
are presented that illustrate the methods. First, subsystem/system interactions are
modeled by examining user preferences for sustainable building designs, capturing how
energy conservation mandates influence system-level robustness. Next, system topology
is optimized, which minimizes performance losses from cascading failures, expanding the
model. Finally, the impact of human decision-making within an infrastructure system is
incorporated, to further increase robustness. In summary, this research demonstrates a
concept-stage design framework for creating
robust infrastructure systems by minimizing
performance variability due to uncertain events and user behavior.
Advisors/Committee Members: Tumer, Irem Y. (advisor), Stone, Robert (committee member).
Subjects/Keywords: Robust; Electric utilities – Reliability
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Piacenza, J. R. (2014). Design of robust infrastructure systems incorporating user behavior. (Doctoral Dissertation). Oregon State University. Retrieved from http://hdl.handle.net/1957/50656
Chicago Manual of Style (16th Edition):
Piacenza, Joseph R. “Design of robust infrastructure systems incorporating user behavior.” 2014. Doctoral Dissertation, Oregon State University. Accessed December 06, 2019.
http://hdl.handle.net/1957/50656.
MLA Handbook (7th Edition):
Piacenza, Joseph R. “Design of robust infrastructure systems incorporating user behavior.” 2014. Web. 06 Dec 2019.
Vancouver:
Piacenza JR. Design of robust infrastructure systems incorporating user behavior. [Internet] [Doctoral dissertation]. Oregon State University; 2014. [cited 2019 Dec 06].
Available from: http://hdl.handle.net/1957/50656.
Council of Science Editors:
Piacenza JR. Design of robust infrastructure systems incorporating user behavior. [Doctoral Dissertation]. Oregon State University; 2014. Available from: http://hdl.handle.net/1957/50656

Virginia Tech
22.
Karlgaard, Christopher David.
Robust Adaptive Estimation for Autonomous Rendezvous in Elliptical Orbit.
Degree: PhD, Aerospace and Ocean Engineering, 2010, Virginia Tech
URL: http://hdl.handle.net/10919/28274
► The development of navigation filters that make use of robust estimation techniques is important due to the sensitivity of the typical minimum L2 norm techniques,…
(more)
▼ The development of navigation filters that make use of
robust estimation techniques is important due to the sensitivity of the typical minimum L2 norm techniques, such as the Kalman filter, to deviations in the assumed underlying probability distribution. In particular, those distributions with thicker tails than the Gaussian distribution can give rise to erratic filter performance and inconsistency of results. This dissertation discusses the development of an adaptive discrete-time
robust nonlinear filtering technique based on a recursive form of Huber's mixed minimum L1/L2 norm approach to estimation, which is
robust with respect to deviations from the assumed Gaussian error probability distributions inherent to the Kalman filter. This mixed norm approach is applied to a type of Sigma-Point Kalman filter, known as the Divided Difference Filter, which can capture second-order effects of nonlinearities in the system and measurement dynamics.
Additionally, if these assumed parameters of the distribution differ greatly from the true parameters, then the filter can exhibit large errors and possibly divergence in nonlinear problems. This behavior is possible even if the true error distributions are Gaussian. To remedy these problems, adaptive filtering techniques have been introduced in order to automatically tune the Kalman filter by estimating the measurement and process noise covariances, however these techniques can also be highly sensitive to the nature of the underlying error distributions. The Huber-based formulations of the filtering problem also make some assumptions regarding the distribution, namely the approach considers a class of contaminated densities in the neighborhood of the Gaussian density. Essentially the method assumes that the statistics of the main Gaussian density are known, as well as the ratio or percentage of the contamination. The technique can be improved upon by the introduction of a method to adaptively estimate the noise statistics along with the state and state error covariance matrix. One technique in common use for adaptively estimating the noise statistics in real-time filtering applications is known as covariance matching. The covariance matching technique is an intuitively appealing approach in which the measurement noise and process noise covariances are determined in such a way that the true residual covariance matches the theoretically predicted covariance. The true residual covariance is approximated in real time using the sample covariance, over some finite buffer of stored residuals. The drawback to this approach is that the presence of outliers and non-Gaussianity can create problems of robustness with the use of the covariance matching technique. Therefore some additional steps must be taken to identify the outliers before forming the covariance estimates. In this dissertation, an adaptive scheme is proposed whereby the filter can estimate the process noise and measurement noise covariance matrices along with the state estimate and state estimate error covariance matrix.…
Advisors/Committee Members: Woolsey, Craig A. (committee member), Sultan, Cornel (committee member), Seywald, Hans (committee member), Schaub, Hanspeter (committeecochair), Hall, Christopher D. (committeecochair).
Subjects/Keywords: Robust Estimation; Rendezvous; Adaptive Estimation
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Karlgaard, C. D. (2010). Robust Adaptive Estimation for Autonomous Rendezvous in Elliptical Orbit. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/28274
Chicago Manual of Style (16th Edition):
Karlgaard, Christopher David. “Robust Adaptive Estimation for Autonomous Rendezvous in Elliptical Orbit.” 2010. Doctoral Dissertation, Virginia Tech. Accessed December 06, 2019.
http://hdl.handle.net/10919/28274.
MLA Handbook (7th Edition):
Karlgaard, Christopher David. “Robust Adaptive Estimation for Autonomous Rendezvous in Elliptical Orbit.” 2010. Web. 06 Dec 2019.
Vancouver:
Karlgaard CD. Robust Adaptive Estimation for Autonomous Rendezvous in Elliptical Orbit. [Internet] [Doctoral dissertation]. Virginia Tech; 2010. [cited 2019 Dec 06].
Available from: http://hdl.handle.net/10919/28274.
Council of Science Editors:
Karlgaard CD. Robust Adaptive Estimation for Autonomous Rendezvous in Elliptical Orbit. [Doctoral Dissertation]. Virginia Tech; 2010. Available from: http://hdl.handle.net/10919/28274

Delft University of Technology
23.
He, D.
Robust Aerodynamic Optimization through Conjugate Gradient Method with Taguchi's Theory:.
Degree: 2015, Delft University of Technology
URL: http://resolver.tudelft.nl/uuid:6c384e64-9fad-4289-93e8-5a3a863cfed8
► The main objective of this thesis project is to establish an optimization framework that can carry out robust aerodynamic design tasks. The work is based…
(more)
▼ The main objective of this thesis project is to establish an optimization framework that can carry out
robust aerodynamic design tasks. The work is based on the single-point optimization module of the SU2 code, which contains the partial differential equation solver for flow evaluation and gradient calculation based on the adjoint method. The research work can be divided into two parts: the first one is the establishment of the optimization structure and the corresponding implementation. And the second part is the aerodynamic design examples.
During creating the framework of the
robust optimization process, the conjugate gradient (CG) algorithm is used to establish the main structure (outer loop). With the conjugate search directions provided by the CG method, line searches are implemented with the application of the strong Wolfe condition (inner loop). In order to carry out
robust optimizations within the uncertain operating conditions, the format of the objective function should be defined properly. The Taguchi’s
robust design theory is used to create the objective function that takes both the performance expectation and the variance into account simultaneously. As the CG algorithm cannot directly deal with constraints, they should be converted to the penalty terms in the objective function.
To check the validity of the established
robust optimization process, two examples are tested concerning the wave drag reduction of the NACA0012 airfoil under subsonic condition, with lift and thickness constraints. The first problem is to reduce the drag under the uncertain Mach number and angle of attack which obey certain kind of normal distributions separately. The continuous probabilities of the two uncertainties are firstly discretized into 9 operating conditions and the joint probability is calculated. After that optimizations are carried out under these sampled conditions. The results show that the process can indeed provide
robust drag reduction. Compared to the results of the two single-point optimizations under different conditions, the drag value is effectively reduced especially under higher Mach numbers and larger angles of attack. The change of the weight factor distribution for the drag expectation and the variance has noticeable influence on the drag value under the most critical condition.
The second problem is to reduce the drag within a certain range of the Mach number while keep a constant lift. The Mach number is the only uncertainty source and it is discretized at 3 sampled points. The results show that the shock wave can be eliminated under all 3 conditions. As a result, both the drag expectation and the variance are significantly reduced. The
robust optimizations with different weight factor distribution have similar results except for the one that only focuses on the drag variance reduction. The latter optimization provides a result with nearly no drag variance at the cost of higher drag values throughout the whole tested domain. And the drag increases more quickly than other
robust optimization…
Advisors/Committee Members: Dwight, R.P..
Subjects/Keywords: robust; conjugate gradient; Taguchi's theory
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
He, D. (2015). Robust Aerodynamic Optimization through Conjugate Gradient Method with Taguchi's Theory:. (Masters Thesis). Delft University of Technology. Retrieved from http://resolver.tudelft.nl/uuid:6c384e64-9fad-4289-93e8-5a3a863cfed8
Chicago Manual of Style (16th Edition):
He, D. “Robust Aerodynamic Optimization through Conjugate Gradient Method with Taguchi's Theory:.” 2015. Masters Thesis, Delft University of Technology. Accessed December 06, 2019.
http://resolver.tudelft.nl/uuid:6c384e64-9fad-4289-93e8-5a3a863cfed8.
MLA Handbook (7th Edition):
He, D. “Robust Aerodynamic Optimization through Conjugate Gradient Method with Taguchi's Theory:.” 2015. Web. 06 Dec 2019.
Vancouver:
He D. Robust Aerodynamic Optimization through Conjugate Gradient Method with Taguchi's Theory:. [Internet] [Masters thesis]. Delft University of Technology; 2015. [cited 2019 Dec 06].
Available from: http://resolver.tudelft.nl/uuid:6c384e64-9fad-4289-93e8-5a3a863cfed8.
Council of Science Editors:
He D. Robust Aerodynamic Optimization through Conjugate Gradient Method with Taguchi's Theory:. [Masters Thesis]. Delft University of Technology; 2015. Available from: http://resolver.tudelft.nl/uuid:6c384e64-9fad-4289-93e8-5a3a863cfed8

University of Waterloo
24.
Lawrence, Liam Shawn Pritchard.
The Optimal Steady-State Control Problem.
Degree: 2019, University of Waterloo
URL: http://hdl.handle.net/10012/14510
► Many engineering systems – including electrical power networks, chemical processing plants, and communication networks – have a well-defined notion of an "optimal'" steady-state operating point.…
(more)
▼ Many engineering systems – including electrical power networks, chemical processing plants, and communication networks – have a well-defined notion of an "optimal'" steady-state operating point. This optimal operating point is often defined mathematically as the solution of a constrained optimization problem that seeks to minimize the monetary cost of distributing electricity, maximize the profit of chemical production, or minimize the communication latency between agents in a network. Optimal steady-state regulation is obviously of crucial importance in such systems.
This thesis is concerned with the optimal steady-state control problem, the problem of designing a controller to continuously and automatically regulate a dynamical system to an optimal operating point that minimizes cost while satisfying equipment constraints and other engineering requirements, even as this optimal operating point changes with time. An optimal steady-state controller must simultaneously solve the optimization problem and force the plant to track its solution.
This thesis makes two primary contributions. The first is a general problem definition and controller architecture for optimal steady-state control for nonlinear systems subject to time-varying exogenous inputs. We leverage output regulation theory to define the problem and provide necessary and sufficient conditions on any optimal steady-state controller. Regarding our controller architecture, the typical controller in the output regulation literature consists of two components: an internal model and a stabilizer. Inspired by this division, we propose that a typical optimal steady-state controller should consist of three pieces: an optimality model, an internal model, and a stabilizer. We show that our design framework encompasses many existing controllers from the literature.
The second contribution of this thesis is a complete constructive solution to an important special case of optimal steady-state control: the linear-convex case, when the plant is an uncertain linear time-invariant system subject to constant exogenous inputs and the optimization problem is convex. We explore the requirements on the plant and optimization problem that allow for optimal regulation even in the presence of parametric uncertainty, and we explore methods for stabilizer design using tools from robust control theory.
We illustrate the linear-convex theory on several examples. We first demonstrate the use of the small-gain theorem for stability analysis when a PI stabilizer is employed; we then show that we can use the solution to the H-infinity control problem to synthesize a stabilizer when the PI controller fails. Furthermore, we apply our theory to the design of controllers for the optimal frequency regulation problem in power systems and show that our methods recover standard designs from the literature.
Subjects/Keywords: control theory; robust control; optimization
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Lawrence, L. S. P. (2019). The Optimal Steady-State Control Problem. (Thesis). University of Waterloo. Retrieved from http://hdl.handle.net/10012/14510
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Chicago Manual of Style (16th Edition):
Lawrence, Liam Shawn Pritchard. “The Optimal Steady-State Control Problem.” 2019. Thesis, University of Waterloo. Accessed December 06, 2019.
http://hdl.handle.net/10012/14510.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
MLA Handbook (7th Edition):
Lawrence, Liam Shawn Pritchard. “The Optimal Steady-State Control Problem.” 2019. Web. 06 Dec 2019.
Vancouver:
Lawrence LSP. The Optimal Steady-State Control Problem. [Internet] [Thesis]. University of Waterloo; 2019. [cited 2019 Dec 06].
Available from: http://hdl.handle.net/10012/14510.
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation
Council of Science Editors:
Lawrence LSP. The Optimal Steady-State Control Problem. [Thesis]. University of Waterloo; 2019. Available from: http://hdl.handle.net/10012/14510
Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

North Carolina State University
25.
Schumann, David Heinz.
Robust Variable Selection.
Degree: PhD, Statistics, 2009, North Carolina State University
URL: http://www.lib.ncsu.edu/resolver/1840.16/4764
► The prevalence of extreme outliers in many regression data sets has led to the development of robust methods that can handle these observations. While much…
(more)
▼ The prevalence of extreme outliers in many regression data sets has led to the development of
robust methods that can handle these observations. While much attention has been placed on the problem of estimating regression coefficients in the presence of outliers, few methods address variable selection. We develop and study
robust versions of the forward selection algorithm, one of the most popular standard variable selection techniques. Specifically we modify the VAMS procedure, a version of forward selection tuned to control the false selection rate, to simultaneously select variables and eliminate outliers. In an alternative approach,
robust versions of the forward selection algorithm are developed using the
robust forward addition sequence associated with the generalized score statistic. Combining the
robust forward addition sequence with
robust versions of BIC and the VAMS procedure, a final model is obtained. Monte Carlo simulation compares these
robust methods to current
robust methods like the LSA and LAD-LASSO. Further simulation investigates the relationship between the breakdown point of the estimation methods central to each procedure and the breakdown point of the final variable selection method.
Advisors/Committee Members: Dennis Boos, Committee Member (advisor), Judy Wang, Committee Member (advisor), Leonard Stefanski, Committee Co-Chair (advisor), Lexin Li, Committee Member (advisor).
Subjects/Keywords: VAMS; outliers; variable selection; robust
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
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APA (6th Edition):
Schumann, D. H. (2009). Robust Variable Selection. (Doctoral Dissertation). North Carolina State University. Retrieved from http://www.lib.ncsu.edu/resolver/1840.16/4764
Chicago Manual of Style (16th Edition):
Schumann, David Heinz. “Robust Variable Selection.” 2009. Doctoral Dissertation, North Carolina State University. Accessed December 06, 2019.
http://www.lib.ncsu.edu/resolver/1840.16/4764.
MLA Handbook (7th Edition):
Schumann, David Heinz. “Robust Variable Selection.” 2009. Web. 06 Dec 2019.
Vancouver:
Schumann DH. Robust Variable Selection. [Internet] [Doctoral dissertation]. North Carolina State University; 2009. [cited 2019 Dec 06].
Available from: http://www.lib.ncsu.edu/resolver/1840.16/4764.
Council of Science Editors:
Schumann DH. Robust Variable Selection. [Doctoral Dissertation]. North Carolina State University; 2009. Available from: http://www.lib.ncsu.edu/resolver/1840.16/4764
26.
Andrade Moellmann Ferro, Thiago.
Robust Determinants Of Reservation Wages In Colombia.
Degree: MS, Economics & Finance, 2015, University of North Dakota
URL: https://commons.und.edu/theses/1735
First prong of this work analyzes effects of an early-shock, the 1999 Colombia Earthquake on the development of cognitive skills. Second prong analyzes the effects of professional skills on reservation wages.
Advisors/Committee Members: Chih Ming Tan.
Subjects/Keywords: Colombia; Determinants; Reservation; Robust; Wages
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
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APA (6th Edition):
Andrade Moellmann Ferro, T. (2015). Robust Determinants Of Reservation Wages In Colombia. (Masters Thesis). University of North Dakota. Retrieved from https://commons.und.edu/theses/1735
Chicago Manual of Style (16th Edition):
Andrade Moellmann Ferro, Thiago. “Robust Determinants Of Reservation Wages In Colombia.” 2015. Masters Thesis, University of North Dakota. Accessed December 06, 2019.
https://commons.und.edu/theses/1735.
MLA Handbook (7th Edition):
Andrade Moellmann Ferro, Thiago. “Robust Determinants Of Reservation Wages In Colombia.” 2015. Web. 06 Dec 2019.
Vancouver:
Andrade Moellmann Ferro T. Robust Determinants Of Reservation Wages In Colombia. [Internet] [Masters thesis]. University of North Dakota; 2015. [cited 2019 Dec 06].
Available from: https://commons.und.edu/theses/1735.
Council of Science Editors:
Andrade Moellmann Ferro T. Robust Determinants Of Reservation Wages In Colombia. [Masters Thesis]. University of North Dakota; 2015. Available from: https://commons.und.edu/theses/1735

University of New South Wales
27.
Allah Bakhsh, Mohammad.
Robust ranking and unfairness detection in social rating systems.
Degree: Computer Science & Engineering, 2013, University of New South Wales
URL: http://handle.unsw.edu.au/1959.4/52881
;
https://unsworks.unsw.edu.au/fapi/datastream/unsworks:11559/SOURCE01?view=true
► Using Web 2.0 technologies, people can collaboratively create content, share with others, build social networks, play online games and perform many more forms of collaboration…
(more)
▼ Using Web 2.0 technologies, people can collaboratively create content, share with others, build social networks, play online games and perform many more forms of collaboration on the web. People can also easily collaborate on assessing the quality of content that has been generated by others, mainly through social rating systems.Such people acting as evaluators might have different levels of skill and expertise, sometimes insufficient for evaluating particular content. They may also have various and even biased interests and incentives and consequently cast unfair evaluations. Moreover, several pieces of evidence show that social rating systems have been widely
subject to unfair evaluations posted individually or collaboratively to promote or demote particular items based on their personal or group interest and benefits. Identifying these unfair evaluations is challenging and is the key to the success of social rating systems.In this dissertation we present a set of techniques and algorithms for assessing the quality of people and content in social rating systems. We first propose methods for identifying both individual and collaborative unfair evaluators in social rating systems. After analyzing existing collusion detection systems and finding some fundamental limitations when dealing with massive or intelligent collusion attacks, we propose a novel iterative method for collusion detection which helps to solve such problems. This method builds on the idea of detecting the real sentiment of a community of evaluators and using it to robustly evaluate people and content in such a community. To do so, we first present a novel model for reducing a rating task into an election (a voting) activity and then using this technique to detect the sentiment of the community. Our model depends on neither the values of cast evaluations nor their order. We rely on the distributions of cast votes as well as the opinion of the community on the helpfulness of such votes and reviews.In addition to rating products, we use community sentiment along with the voting behavior of people to assess their trustworthiness. Our people evaluation approach employs seven behavioral factors and uses them to distinguish between random voters, genuine users, honest people with low expertise, expert users, etc. We employ a fuzzy logic model to combine these behavioral factors and obtaining one value for trustworthiness of evaluators.The approaches presented in this dissertation have been implemented in prototype tools, and experimentally validated on synthetic and real-world datasets.
Advisors/Committee Members: Ignjatovic, Aleksandar, Computer Science & Engineering, Faculty of Engineering, UNSW.
Subjects/Keywords: Iterative algorithms; Robust Rating; Ranking
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Allah Bakhsh, M. (2013). Robust ranking and unfairness detection in social rating systems. (Doctoral Dissertation). University of New South Wales. Retrieved from http://handle.unsw.edu.au/1959.4/52881 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:11559/SOURCE01?view=true
Chicago Manual of Style (16th Edition):
Allah Bakhsh, Mohammad. “Robust ranking and unfairness detection in social rating systems.” 2013. Doctoral Dissertation, University of New South Wales. Accessed December 06, 2019.
http://handle.unsw.edu.au/1959.4/52881 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:11559/SOURCE01?view=true.
MLA Handbook (7th Edition):
Allah Bakhsh, Mohammad. “Robust ranking and unfairness detection in social rating systems.” 2013. Web. 06 Dec 2019.
Vancouver:
Allah Bakhsh M. Robust ranking and unfairness detection in social rating systems. [Internet] [Doctoral dissertation]. University of New South Wales; 2013. [cited 2019 Dec 06].
Available from: http://handle.unsw.edu.au/1959.4/52881 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:11559/SOURCE01?view=true.
Council of Science Editors:
Allah Bakhsh M. Robust ranking and unfairness detection in social rating systems. [Doctoral Dissertation]. University of New South Wales; 2013. Available from: http://handle.unsw.edu.au/1959.4/52881 ; https://unsworks.unsw.edu.au/fapi/datastream/unsworks:11559/SOURCE01?view=true

University of Manitoba
28.
Ramsay, Kelly.
Computable, robust multivariate location using integrated univariate ranks.
Degree: Statistics, 2017, University of Manitoba
URL: http://hdl.handle.net/1993/32967
► This thesis concerns select methods related to multivariate nonparametric data description, especially multivariate location. It presents and provides implementations of algorithms for computing the projection…
(more)
▼ This thesis concerns select methods related to multivariate nonparametric data description,
especially multivariate location. It presents and provides implementations of algorithms for
computing the projection median both exactly (in low dimensions) and approximately (for
use in higher dimensions). The algorithms use techniques from computational geometry and
Monte Carlo methods.
Further, an intuitive notion of data depth based on an average univariate ranking of points
is introduced. This depth measure is shown to be quickly computable in low dimensions
and easily approximated in high dimensions via Monte Carlo techniques. In addition, its
theoretical properties are investigated.
Several applications of these methods are demonstrated, using both real and simulated
data.
Advisors/Committee Members: Leblanc, Alexandre (Statistics), Jafari Jozani, Mohammad (Statistics).
Subjects/Keywords: Statistics; Robust statistics; Multivariate; Median
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
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APA (6th Edition):
Ramsay, K. (2017). Computable, robust multivariate location using integrated univariate ranks. (Masters Thesis). University of Manitoba. Retrieved from http://hdl.handle.net/1993/32967
Chicago Manual of Style (16th Edition):
Ramsay, Kelly. “Computable, robust multivariate location using integrated univariate ranks.” 2017. Masters Thesis, University of Manitoba. Accessed December 06, 2019.
http://hdl.handle.net/1993/32967.
MLA Handbook (7th Edition):
Ramsay, Kelly. “Computable, robust multivariate location using integrated univariate ranks.” 2017. Web. 06 Dec 2019.
Vancouver:
Ramsay K. Computable, robust multivariate location using integrated univariate ranks. [Internet] [Masters thesis]. University of Manitoba; 2017. [cited 2019 Dec 06].
Available from: http://hdl.handle.net/1993/32967.
Council of Science Editors:
Ramsay K. Computable, robust multivariate location using integrated univariate ranks. [Masters Thesis]. University of Manitoba; 2017. Available from: http://hdl.handle.net/1993/32967

Texas A&M University
29.
Shah, Utkarsh Dinesh.
An Improved Robust Optimization Approach for Scheduling Under Uncertainty.
Degree: MS, Chemical Engineering, 2017, Texas A&M University
URL: http://hdl.handle.net/1969.1/165909
► In practice, the uncertainty in processing time data frequently affects the feasibility of optimal solution of the nominal production scheduling problem. Using the unit-specific event-based…
(more)
▼ In practice, the uncertainty in processing time data frequently affects the feasibility of
optimal solution of the nominal production scheduling problem. Using the unit-specific
event-based continuous time model for scheduling, we develop a novel multi-stage
robust
approach with corrective action to ensure
robust feasibility of the worst case solution
while reducing the conservatism arising from traditional
robust optimization approaches.
We quantify the probability of constraint satisfaction by using a priori and a posteriori
probabilistic bounds for known and unknown uncertainty distributions, consequently, improving
the objective value for a given risk scenario. Computational experiments on several
examples were carried out to measure the effectiveness of the proposed method. For
a given constraint satisfaction probability, the proposed method improves the objective
value compared to the traditional
robust optimization approaches.
Advisors/Committee Members: Pistikopoulos, Efstratios N (advisor), Kravaris, Costas (committee member), Tamamis, Phanourios (committee member).
Subjects/Keywords: Scheduling; Robust Optimization; Multi-stage
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APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Shah, U. D. (2017). An Improved Robust Optimization Approach for Scheduling Under Uncertainty. (Masters Thesis). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/165909
Chicago Manual of Style (16th Edition):
Shah, Utkarsh Dinesh. “An Improved Robust Optimization Approach for Scheduling Under Uncertainty.” 2017. Masters Thesis, Texas A&M University. Accessed December 06, 2019.
http://hdl.handle.net/1969.1/165909.
MLA Handbook (7th Edition):
Shah, Utkarsh Dinesh. “An Improved Robust Optimization Approach for Scheduling Under Uncertainty.” 2017. Web. 06 Dec 2019.
Vancouver:
Shah UD. An Improved Robust Optimization Approach for Scheduling Under Uncertainty. [Internet] [Masters thesis]. Texas A&M University; 2017. [cited 2019 Dec 06].
Available from: http://hdl.handle.net/1969.1/165909.
Council of Science Editors:
Shah UD. An Improved Robust Optimization Approach for Scheduling Under Uncertainty. [Masters Thesis]. Texas A&M University; 2017. Available from: http://hdl.handle.net/1969.1/165909

Rutgers University
30.
Wang, Jue (Jue A.).
Some properties of robust statistics under asymmetric models.
Degree: PhD, Statistics and Biostatistics, 2008, Rutgers University
URL: http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000050467
► Properties of robust statistics have been extensively studied in the univariate setting when the underlying model is presumed to be symmetric, and in the multivariate…
(more)
▼ Properties of robust statistics have been extensively studied in the univariate setting when the underlying model is presumed to be symmetric, and in the multivariate case when the underlying model is presumed to be elliptically symmetric. Much less attention has been given to the behavior of robust statistics under asymmetric models. The goal of this dissertation is thus to obtain theoretical results for robust statistics under asymmetric models. To this end, local asymmetric alternatives to symmetric and elliptically symmetric distributions are considered. A key tool used in obtaining the theories presented in this dissertation is the LeCam's lemmas on contiguity.
The classes of robust univariate statistic considered here are the M-estimates, one-step version of the M-estimates, the W-estimates and the trimmed means. The classes of robust multivariate statistics considered are the M-estimates, the S-estimates, the CM-estimates and the MM-estimates, which are all treated under the unified framework of M-estimates with auxiliary scale, as well as their one-step versions. Asymptotic distributions of these statistics are obtained under local mixture models and skew-symmetric models. The asymptotic properties for the MM-estimates, even under elliptical symmetry, are the first such results for the multivariate MM-estimates.
Under asymmetry, different robust statistics for location are not consistent with each other, i.e. they are estimating different notions of central tendency. Likewise, in the multivariate setting, under non-elliptical distributions, the different scatter statistics are again not consistent with each other and are reflecting different structures of the underlying distribution. This suggests the difference in location statistics can be used to detect asymmetry and the comparison of different scatter statistics can be used to detect deviations from elliptical symmetry.
Consequently, new classes of tests for symmetry and for elliptical symmetry are introduced in this dissertation based upon the comparisons of different location statistics and different scatter statistics respectively. Furthermore, the asymptotic null distributions of the proposed test statistics are derived as well as their local power functions under contiguous mixture distributions. The local power functions help provide some guidelines for choosing the proper tuning constant of the proposed tests.
Advisors/Committee Members: Wang, Jue (Jue A.) (author), Tyler, David (chair), Kolassa, John (internal member), Cabrera, Javier (internal member), Fernholz, Luisa (outside member).
Subjects/Keywords: Robust statistics
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❌
APA ·
Chicago ·
MLA ·
Vancouver ·
CSE |
Export
to Zotero / EndNote / Reference
Manager
APA (6th Edition):
Wang, J. (. A. ). (2008). Some properties of robust statistics under asymmetric models. (Doctoral Dissertation). Rutgers University. Retrieved from http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000050467
Chicago Manual of Style (16th Edition):
Wang, Jue (Jue A ). “Some properties of robust statistics under asymmetric models.” 2008. Doctoral Dissertation, Rutgers University. Accessed December 06, 2019.
http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000050467.
MLA Handbook (7th Edition):
Wang, Jue (Jue A ). “Some properties of robust statistics under asymmetric models.” 2008. Web. 06 Dec 2019.
Vancouver:
Wang J(A). Some properties of robust statistics under asymmetric models. [Internet] [Doctoral dissertation]. Rutgers University; 2008. [cited 2019 Dec 06].
Available from: http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000050467.
Council of Science Editors:
Wang J(A). Some properties of robust statistics under asymmetric models. [Doctoral Dissertation]. Rutgers University; 2008. Available from: http://hdl.rutgers.edu/1782.2/rucore10001600001.ETD.000050467
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