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 24 for “"Uniform convergence"”.
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The Uniform Convergence of Special Standardized Distributions
In this thesis, the uniform convergence of two special standardized distributions are examined. The Gamma distribution is standardized, and then the probability density function of the standardized Gamma distribution is shown to converge uniformly to the probability density function of the normal …
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ONLINE LEARNING, UNIFORM CONVERGENCE, AND A THEORY OF INTERPRETABILITY
… learning problems, the sample complexity for uniform convergence, and a learning-theoretic approach to interpretable machine learning. First, we focus on online learning and investigate variants of the multi-armed bandit problem, including settings with feedback graphs, expert advice, and …
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Pointwise and uniform convergence of fourier series on SU(2)
… that the Fourier partial sums of f converge to f uniformly on SU (2), thereby extending theorems of Caccioppoli, Mayer, and a special case of Ragozin. Pointwise convergence theorems for the Fourier series of functions on SU (2), due to Liu and Qian, were obtained by Clifford algebra techniques. We …
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Uniform Convergence of Operators and Grothendieck Spaces With the Dunford-Pettis Property
… Similar results of H. P. Lotz concern the uniform convergence of ergodic operators and semi-groups of operators. This thesis considers extensions of these results to wider classes of Banach spaces.
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Mišu universalumo teoremos apibendrinimas /
… functions onDequipped with the topology of uniform convergence on compact. LetKbe the class of compactsubsets of the stripDwith conected complements, and letH(K),K2K, be the class of continuosfunctions onKwhich are analytic in the interior ofK.
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New identities for Legendre associated functions of integral order and degree
… functions of integral degree are derived. Uniform convergence of each new identity is investigated in detail. The direct applicability of these identities is demonstrated by using them to verify theorems satisfied by the Dirichlet Green's function of the infinite half-space and of the …
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Discrete universality theorems for the Riemann and Hurwitz zeta-functions /
… functions on equipped with the topology of uniform convergence on compacta, be the class of compact subsets of the strip with connected complements, and let , , be the class of continuous functions on which are analytic in the interior of . In Chapter 1, universality theorems on the uniform …
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Diskrečiosios universalumo teoremos Rymano ir Hurvico dzeta funkcijoms /
… functions on equipped with the topology of uniform convergence on compacta, be the class of compact subsets of the strip with connected complements, and let , , be the class of continuous functions on which are analytic in the interior of . In Chapter 1, universality theorems on the uniform …
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Improving Performance of the Filtered-X Least Mean Square Algorithm for Active Control of Noise Contatining Multiple Quasi-Stationary Tones
… the transfer function of the secondary path. The convergence characteristics of the FXLMS algorithm have been well studied. A convergence parameter is used to optimize the convergence of the algorithm. However, the optimal value for the convergence parameter is frequency dependent. Thus for noise …
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Towards optimal mixed finite elements for general shell structures
… shell elements that possess properties of uniform convergence independent of the problem solved. We develop a thorough numerical convergence study methodology for bending dominated and membrane-dominated shells and apply it to the family of quadrilateral MITC (Mixed-Interpolated Tensorial …
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Linear and algebraic structures in function sequence spaces
… of the theory of Lineability and modes of convergence that will be used along this Dissertation. In Chapter 4 we begin with the study of the algebraic size of two families of sequences of functions with different modes of convergence in the closed unit interval [0, 1]: convergence in …
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The Fourier Spectrum Element Method For Vibration And Power Flow Analysis Of Complex Dynamic Systems
… series/functions used to ensure and improve the uniform convergence of the series representation. Thus, the series expansions of the displacement functions and their relevant derivatives are guaranteed to uniformly and absolutely converge for any boundary conditions and coupling configurations. …
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Statistical inference from dependent data : networks and Markov chains
… learning theory on PAC-learnability and uniform convergence to training data which is dependent under the high temperature condition. Then, we explore the task of regression on data which is dependent according to an MRF under a stronger amount of dependence than is allowed by the …
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Optimal Approximation of High-dimensional Functions on Smooth Manifolds Using Deep ReLU Neural Networks
… using deep neural networks. We prove that the uniform convergence estimates of the approximation and generalization errors by deep neural networks with ReLU activation functions do not depend on the ambient dimension $D$ of the function but only on its lower manifold dimension $d$, in a precise …
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Intertwining relations, commutativity and orbits
… entire functions equipped with the topology of uniform convergence for compact sets. Our results are an extension of some of the most classical results related to the differentiation operator, that is, the ones of G. Godefroy and J. H. Shapiro \cite{Godefroy1991}, and R. Aron and D. Markose …
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Modified Fourier expansions: theory, construction and applications
… furnishes modified Fourier expansions with a convergence analysis in arbitrary dimensions. In particular, we prove uniform convergence of modified Fourier expansions under rather general conditions. Furthermore, it is known that the notion of modified Fourier expansions can be effectively …
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NEW PARADIGMS IN SOURCE CODING AND CHANNEL CODING
… is the gold standard because it gives uniform convergence guarantees, even under adversarial conditions. In the minimax universal setting, the same $\Theta\left(\frac{\log n}{n} \right)$ rate redundancy result has been proven for lossless codes since 1981. However, minimax universal …
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Three-field mixed finite element approximations for problems in elasticity
… and analysis of mixed formulations that are uniformly stable in the incompressible limit. The first part of the thesis deals with problems in linear elasticity. Lamichhane, Reddy and Wohlmuth (Numer. Math., 104 (2006)) have shown that the conditions for stability and uniform convergence …
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HILBERT SPACES AND FOURIER SERIES
… of Hilbert spaces necessary to understand the convergence of the Fourier series for square integrable functions. I state the necessary theorems and definitions to understand the formulations of the problem in a Hilbert space framework, and then I give some applications of the theory along the …
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Parametric Estimation of the Heston Model under the Indirect Observability Framework
… observation framework,} and prove the $L^2$ convergence between the empirical covariance function (based on the observed data which are sampled from the approximating process) and the actual covariance function of the limiting process. Hence, the consistent and robust parameter estimators …
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