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You searched for subject:(exponential kernel). Showing records 1 – 3 of 3 total matches.

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1. McWhorter, Samuel P. Fundamental Issues in Support Vector Machines.

Degree: 2014, University of North Texas

This dissertation considers certain issues in support vector machines (SVMs), including a description of their construction, aspects of certain exponential kernels used in some SVMs, and a presentation of an algorithm that computes the necessary elements of their operation with proof of convergence. In its first section, this dissertation provides a reasonably complete description of SVMs and their theoretical basis, along with a few motivating examples and counterexamples. This section may be used as an accessible, stand-alone introduction to the subject of SVMs for the advanced undergraduate. Its second section provides a proof of the positive-definiteness of a certain useful function here called E and dened as follows: Let V be a complex inner product space. Let N be a function that maps a vector from V to its norm. Let p be a real number between 0 and 2 inclusive and for any in V , let ( be N() raised to the p-th power. Finally, let a be a positive real number. Then E() is exp(()). Although the result is not new (other proofs are known but involve deep properties of stochastic processes) this proof is accessible to advanced undergraduates with a decent grasp of linear algebra. Its final section presents an algorithm by Dr. Kallman (preprint), based on earlier Russian work by B.F. Mitchell, V.F Demyanov, and V.N. Malozemov, and proves its convergence. The section also discusses briefly architectural features of the algorithm expected to result in practical speed increases. Advisors/Committee Members: Kallman, Robert R., Brozovic, Douglas, Brand, Neal E..

Subjects/Keywords: Support vector machines; radial basis function kernel; exponential kernel; elementary proof; Support vector machines.; Algorithms.

…i = 0} so H is the kernel of the map lj : V → R given by lj (w) = hw, vj i… …in the presence of other characters, in some variety of possible orientations. 1.6. Kernel… …Hilbert space V , as we will now show. (The fundamental notion here, the “kernel trick”, is… …vector machines, selection of a kernel is essentially equivalent to selection of a map Φ from a… …positivedefinite kernel functions from a feature space to R. Construction of this function proceeds by… 

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

McWhorter, S. P. (2014). Fundamental Issues in Support Vector Machines. (Thesis). University of North Texas. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc500155/

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):

McWhorter, Samuel P. “Fundamental Issues in Support Vector Machines.” 2014. Thesis, University of North Texas. Accessed October 24, 2020. https://digital.library.unt.edu/ark:/67531/metadc500155/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

McWhorter, Samuel P. “Fundamental Issues in Support Vector Machines.” 2014. Web. 24 Oct 2020.

Vancouver:

McWhorter SP. Fundamental Issues in Support Vector Machines. [Internet] [Thesis]. University of North Texas; 2014. [cited 2020 Oct 24]. Available from: https://digital.library.unt.edu/ark:/67531/metadc500155/.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

McWhorter SP. Fundamental Issues in Support Vector Machines. [Thesis]. University of North Texas; 2014. Available from: https://digital.library.unt.edu/ark:/67531/metadc500155/

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation


Brigham Young University

2. Hakala, Tim. Settling-Time Improvements in Positioning Machines Subject to Nonlinear Friction Using Adaptive Impulse Control.

Degree: PhD, 2006, Brigham Young University

A new method of adaptive impulse control is developed to precisely and quickly control the position of machine components subject to friction. Friction dominates the forces affecting fine positioning dynamics. Friction can depend on payload, velocity, step size, path, initial position, temperature, and other variables. Control problems such as steady-state error and limit cycles often arise when applying conventional control techniques to the position control problem. Studies in the last few decades have shown that impulsive control can produce repeatable displacements as small as ten nanometers without limit cycles or steady-state error in machines subject to dry sliding friction. These displacements are achieved through the application of short duration, high intensity pulses. The relationship between pulse duration and displacement is seldom a simple function. The most dependable practical methods for control are self-tuning; they learn from online experience by adapting an internal control parameter until precise position control is achieved. To date, the best known adaptive pulse control methods adapt a single control parameter. While effective, the single parameter methods suffer from sub-optimal settling times and poor parameter convergence. To improve performance while maintaining the capacity for ultimate precision, a new control method referred to as Adaptive Impulse Control (AIC) has been developed. To better fit the nonlinear relationship between pulses and displacements, AIC adaptively tunes a set of parameters. Each parameter affects a different range of displacements. Online updates depend on the residual control error following each pulse, an estimate of pulse sensitivity, and a learning gain. After an update is calculated, it is distributed among the parameters that were used to calculate the most recent pulse. As the stored relationship converges to the actual relationship of the machine, pulses become more accurate and fewer pulses are needed to reach each desired destination. When fewer pulses are needed, settling time improves and efficiency increases. AIC is experimentally compared to conventional PID control and other adaptive pulse control methods on a rotary system with a position measurement resolution of 16000 encoder counts per revolution of the load wheel. The friction in the test system is nonlinear and irregular with a position dependent break-away torque that varies by a factor of more than 1.8 to 1. AIC is shown to improve settling times by as much as a factor of two when compared to other adaptive pulse control methods while maintaining precise control tolerances.

Subjects/Keywords: control; position; adaptive; impulsive; settling-time; nonlinear friction; pulses; displacements; precise; tolerances; log-spaced; update; distributed; learning; Coulomb; Stribeck; Tomizuka; Yang; AIC; PID; MRAC; STR; RTAI; Linux; FreeBSD; kernel modules; microcontroller; convergence; practical; self-tuning; methods; techniques; limit-cycles; steady-state; error; zero; stable; stability; bound; envelope; partitioned; scheme; lookup-table; multi-point; adaptation; repeatable; mean; servo; motor; exponential; square-law; rise-time; real-time; log-log interpolation; pro-forma; curve-fit; sensitivity; compliance; variable; static; dynamic response; torque; acceleration; velocity; optical encoder; parameters; evolution; fixed-law; enhanced split; weighting; initialization; trajectory; layered processes; Mechanical Engineering

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Hakala, T. (2006). Settling-Time Improvements in Positioning Machines Subject to Nonlinear Friction Using Adaptive Impulse Control. (Doctoral Dissertation). Brigham Young University. Retrieved from https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2060&context=etd

Chicago Manual of Style (16th Edition):

Hakala, Tim. “Settling-Time Improvements in Positioning Machines Subject to Nonlinear Friction Using Adaptive Impulse Control.” 2006. Doctoral Dissertation, Brigham Young University. Accessed October 24, 2020. https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2060&context=etd.

MLA Handbook (7th Edition):

Hakala, Tim. “Settling-Time Improvements in Positioning Machines Subject to Nonlinear Friction Using Adaptive Impulse Control.” 2006. Web. 24 Oct 2020.

Vancouver:

Hakala T. Settling-Time Improvements in Positioning Machines Subject to Nonlinear Friction Using Adaptive Impulse Control. [Internet] [Doctoral dissertation]. Brigham Young University; 2006. [cited 2020 Oct 24]. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2060&context=etd.

Council of Science Editors:

Hakala T. Settling-Time Improvements in Positioning Machines Subject to Nonlinear Friction Using Adaptive Impulse Control. [Doctoral Dissertation]. Brigham Young University; 2006. Available from: https://scholarsarchive.byu.edu/cgi/viewcontent.cgi?article=2060&context=etd

3. Muševič, Sašo. Non-stationary sinusoidal analysis.

Degree: Departament de Tecnologies de la Informació i les Comunicacions, 2013, Universitat Pompeu Fabra

Many types of everyday signals fall into the non-stationary sinusoids category. A large family of such signals represent audio, including acoustic/electronic, pitched/transient instrument sounds, human speech/singing voice, and a mixture of all: music. Analysis of such signals has been in the focus of the research community for decades. The main reason for such intense focus is the wide applicability of the research achievements to medical, financial and optical applications, as well as radar/sonar signal processing and system analysis. Accurate estimation of sinusoidal parameters is one of the most common digital signal processing tasks and thus represents an indispensable building block of a wide variety of applications. Classic time-frequency transformations are appropriate only for signals with slowly varying amplitude and frequency content - an assumption often violated in practice. In such cases, reduced readability and the presence of artefacts represent a significant problem. Time and frequency resolu Advisors/Committee Members: [email protected] (authoremail), true (authoremailshow), Serra, Xavier (director), Bonada, Jordi, 1973- (director), true (authorsendemail).

Subjects/Keywords: Sinusoidal analysis; Non-stationary sinusoid; Amplitude modulation; Frequency modulation; Polynomial phase; Generalised sinusoid; Complex polynomial amplitude modulated complex sinusoid with exponential damping; cPACE, cPACED, PACE; Overapping sinusoids; Non-linear analysis; Kernel based analysis; Linear systems of equations; Non-linear systems of equations; Multivariate polynomial systems; Energy reallocation; Reassignment; Generalised reassignment; Distribution derivative; Derivative method; Sinusoidal parameter estimation; Sound analysis; High-resolution analysis; Transient analysis; Time-frequency distributions; Chebyshev polynomial; Adaptive signal analysis; Gamma function; 62

…to generalise the complex exponential to an arbitrary kernel Ψ(t): s(t)… …Specifically, a number of state-of-the-art kernel based methods are described, evaluated and improved… …with exponential damping (cPACED) and the generalised sinusoid - a complex sinusoid… …71 5 Reassignment with adaptive Fourier poly-phase 5.1 GRM using a generic kernel… …5.2 Polynomial-phase Fourier kernel . . . . . . . . . 5.3 Tests and Results… 

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6th Edition):

Muševič, S. (2013). Non-stationary sinusoidal analysis. (Thesis). Universitat Pompeu Fabra. Retrieved from http://hdl.handle.net/10803/123809

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):

Muševič, Sašo. “Non-stationary sinusoidal analysis.” 2013. Thesis, Universitat Pompeu Fabra. Accessed October 24, 2020. http://hdl.handle.net/10803/123809.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7th Edition):

Muševič, Sašo. “Non-stationary sinusoidal analysis.” 2013. Web. 24 Oct 2020.

Vancouver:

Muševič S. Non-stationary sinusoidal analysis. [Internet] [Thesis]. Universitat Pompeu Fabra; 2013. [cited 2020 Oct 24]. Available from: http://hdl.handle.net/10803/123809.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Muševič S. Non-stationary sinusoidal analysis. [Thesis]. Universitat Pompeu Fabra; 2013. Available from: http://hdl.handle.net/10803/123809

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

.