Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 20 of 41 for “"polynomial approximation"”.
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Chaos control using local polynomial approximation
… of chaos control was [CCdF99], in which a polynomial model is used. This dissertation proposes using local Taylor polynomial models as a basis for chaos control.
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Faster fully polynomial approximation schemes for Knapsack problems
A fully polynomial time approximation scheme (FPTAS) is an algorithm that returns ... -optimal solution to a maximization problem of size n, which runs in polynomial time in both ... We develop faster FPTASs for several classes of knapsack problems. In this thesis, we will first survey the relevant …
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Subnormal operators, hyponormal operators, and mean polynomial approximation
… belong to the (norm) closure of the (analytic) polynomials. J. Thomson in [T] has shown that the set of bounded point evaluations, <i>bpe μ</i>, for <i>P<sup>t</sup>(μ)</i> is a nonempty simply connected region <i>G</i>. We prove that the measure μ restricted to the boundary of <i>G</i> is …
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Some aspects of discrete least squares polynomial approximation
… investigate the method of discrete least squares polynomial approximation and to provide an extension of the method which would allow for a reasonable data-fit while lowering the number of undetermined coefficients. Also, computer programs were to be provided so that one may use the extended …
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A non-linear polynomial approximation filter for robust speaker verification
Bibliography: leaves 101-109.
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Polynomial approximation and Carleson measures on a general domain and equivalence classes of subnormal operators
… study the problem of when P, the set of analytic polynomials, is dense in the Hardy space H<sup>t</sup>(G) or the Bergman space L<sup>t</sup><sub>n</sub>G, where G is a bounded domain and t ∈ [1,∞). Characterizations of special domains are also given. In Chapter 3 we generalize the definition of a …
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A least square procedure for solving complex integral equations of a single real variable by polynomial approximation
Thesis (B.S.) Massachusetts Institute of Technology. Dept. of Mathematics, 1956.
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The application of a least square procedure to the solution of a homogeneous linear integral equation problem by polynomial approximation
Thesis (B.S.) Massachusetts Institute of Technology. Dept. of Mathematics, 1956.
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Regularized weighted Chebyshev approximations for support estimation
… relies on introducing a new weighted Chebyshev polynomial approximation method, jointly optimizing the bias and variance components of the risk, and combining the weighted minmax polynomial approximation method with discretized semi-infinite programming solvers. Such a setting allows for casting …
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Optimal entropy estimation on large alphabet: fundamental limits and fast algorithms
… entropy estimation scales. The apparatus of best polynomial approximation plays a key role in both the construction of optimal estimators and, via a duality argument, the minimax lower bound.
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A multiscale approximation algorithm for the cardinality constrained knapsack problem
I develop a multiscale approximation algorithm for the cardinality constrained knapsack problem. The algorithm consists of three steps: a rounding and reduction step where a hierarchical representation of the problem data ranging from coarse to fine is generated, a solution step where a coarse …
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New Estimation Algorithms With Applications To Relative And Absolute Orbit Determination
… numerical integration with a piecewise polynomial approximation to continuous-time white process noise.
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Variable-Complexity Response Surface Approximations For Wing Structural Weight in HSCT Design
A procedure for generating and using a polynomial approximation to wing bending material weight of a High Speed Civil Transport (HSCT) is presented. Response surface methodology is used to fit a quadratic polynomial to data gathered from a series of structural optimizations. Several techniques are …
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Understanding neural network sample complexity and interpretable convergence-guaranteed deep learning with polynomial regression
… dimension and its width. Then, we introduce polynomial regression as a proxy for neural networks through a polynomial approximation of their activation function. This method operates in the lifted space of tensor products of input variables, and is trained by simply optimizing a standard …
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Advances in Copula Estimation and Distribution Theory
… estimation methodologies, including Bernstein’s polynomial approximation, are proposed and criteria for the selection of their tuning parameters are provided. These four approaches were found to produce similar density estimates, which validates their suitability. Moreover, the copula associated …
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Boundary method-based domain decomposition on multiprocessors
… of interface values. The HPA (harmonic polynomial approximation), including the AHPA (augmented HPA), has been identified as a preferred boundary method to be used with BMDD, based on our analysis and numerical experiments. A new parallel Poisson solver has been obtained, which consists …
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Integral Equation Methodologies for the Signal Integrity Analysis of PCB and Interconnect Structures in Layered Media From DC to Multi-Ghz Frequencies
… media Green's function based on a Chebyshev polynomial approximation of the spectrum of the spatial Green's function is introduced capable of handling arbitrary, lossy, layered substrates. A model compatible with the CG-FFT methodology is proposed for efficiently handling the frequency …
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Immersed Discontinuous Galerkin Methods for Acoustic Wave Propagation in Inhomogeneous Media
… Galerkin finite element formulation with polynomial approximation on elements that contain one fluid while on interface elements containing more than one fluid they use specially-built piecewise polynomial shape functions that satisfy appropriate interface jump conditions. The finite …
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Aircraft Multidisciplinary Design Optimization using Design of Experiments Theory and Response Surface Modeling Methods
… and least squares surface fitting to yield polynomial approximation models. The second method, in which only a preliminary investigation has been performed, uses Bayesian statistics and an adaptation of the Kriging process in Geostatistics to create exponential function-based interpolating …
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Polynomial methods in statistical inference: Theory and practice
… of samples. In this dissertation, we apply the polynomial methods to several statistical questions with rich history and wide applications. The goal is to understand the fundamental limits of the problems in the large domain regime, and to design sample optimal and time efficient algorithms with …
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