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 45 for “"APPROXIMATION THEORY"”.
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Greedy Algorithms In Approximation Theory and Compressed Sensing
… is how to construct good methods (algorithms) of approximation, and how to measure the performance of these methods. One of the most successful approaches in this area is the greedy method, which belongs to the theory of nonlinear approximation. This dissertation answers the question for some …
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INVERSE APPROXIMATION THEORY OF RECURRENT MODELS FOR LEARNING SEQUENCES
… decay pattern. Then we prove the universal approximation property for state-space models. A similar inverse approximation result is established for state-space models, indicating that despite their high efficiency, changing the method of incorporating nonlinear activation fails to alleviate …
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The strict typology : theory, generalizations and applications
… Buck. It was found to have many applications in Approximation Theory, spectral synthesis, spaces of bounded holomorphic functions and multipliers of Banach Algebras.
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Towards a behavioral approach to linear approximate modeling
… and it is shown that the optimal Hankel-norm approximation theory provides the main tool for a partial solution of the above problem.
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Some Results on the Degeneracy of Entire Curves and Integral Points in the Complements of Divisors
… some of the important results in Nevanlinna Theory and Diophantine Approximation Theory. Next, a result by the author and Min Ru \cite{LR} is presented. In chapter 3, we extend the Second Main Theorem to the case of holomorphic curves into algebraic varieties intersecting numerically …
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Polynomial-Based Methods for Time-Integration
… is to combine ideas from complex analysis and approximation theory to construct new integrators. This strategy allows us to trivially satisfy order conditions and easily construct a range of implicit or explicit integrators with properties such as parallelism and high-order of accuracy. The …
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Least squares finite element methods for the Stokes and Navier-Stokes equations
… task we begin by developing the least squares theory for the linear Stokes equations. We introduce least squares methods based on the minimization of functionals that involve residuals of the equations of an equivalent first order formulation for the Stokes problem. We show that for the Stokes …
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Bounds on Urysohn width
… was introduced in the context of dimension theory, used in approximation theory, appeared in the work of Gromov on systolic geometry, and nowadays it is a metric invariant of independent interest. The main results of this thesis establish bounds on the width, relating local and global …
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Proximity effect in superconductors: Experimental and theoretical determination of the transition temperature
… of two parts: (1) an extension of the diffusion approximation theory due to de Gennes, Guyon and Werthamer; this theory is valid only when the mean free paths in the two metals are small compared to the respective coherence lengths, (ii) an extension, under certain restrictive assumptions, of the …
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Additive Lebesgue-Type Inequalities for Greedy Approximation
<p>In the approximation theory we are commonly interested in finding a best possible approximant to a function (also thought of as a signal or an image in signal processing) from a collection of a given number of elements. In the recent years, there arose an interest in considering rich collections …
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Local coherence of hearts in the derived category of a commutative ring
Approximation theory is a fundamental tool in order to study the representation theory of a ring R. Roughly speaking, it consists in determining suitable additive or abelian subcategories of the whole module category Mod-R with nice enough functorial properties. For example, torsion theory is a …
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Use of conformal mapping in measures of approximation
This thesis constitutes a study in the field of approximation theory and is restricted to sets defined on the complex plane. The main objective is to present means that have been used to determine whether a sequence of polynomials can be considered as being uniformly convergent to a given analytic …
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Splines on polytopal complexes
… in a wide variety of contexts, ranging from approximation theory and computer-aided geometric design to equivariant cohomology and GKM theory. A primary goal in approximation theory is to construct bases of the vector space $C^r_d(\PC)$ of splines of degree at most $d$ on $\PC$, although even …
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A new optimization method for reservoir systems
… and extends classical results from function approximation theory to circumvent the computational limitations of ordinary DP (also known as the "curse of dimensionality"). Chebyshev polynomials are used as basis functions to develop accurate and efficient approximations of key DP functionals, …
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Theoretical Properties of Equivariant Neural Networks
… of how architectural design choices shape approximation capabilities. This thesis develops a mathematical framework to analyze the expressivity of deep learning architectures through the lens of approximation theory, with a primary focus on symmetry-preserving models. We study equivariant …
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Wind turbine dynamics identification using gaussian process machine learning
… a review of existing batched Gaussian process theory results in the identification of gaps in the current knowledge base which render existing methods unsuitable. A new approach to batched Gaussian process regression is therefore developed, Sufficient-Subset Gaussian process iteration, which …
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General nonlinear plate theory applied to a circular plate with large deflections
The general nonlinear first approximation thin plate tensor equations in undeformed coordinates valid for large strains, rotations and displacements are developed based on the single assumption of plane stress. These equations are then reduced to the exact tensor and physical component equations …
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On stochastic approximation
… is the desired level of response. A stochastic approximation is a sequential estimation procedure where future observation points are determined on the basis of past information. The two most-discussed procedures for the problem described are the Robbins-Monro (R-M) procedure and the up-and-down …
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Local behavior of distributions and applications
… to several problems in harmonic analysis, approximation theory, classical real and complex function theory, tauberian theory, summability of divergent series and integrals, and number theory. In Chapter 2 we give two new proofs of the Prime Number Theory based on ideas from asymptotic …
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Shear-induced alignment in block copolymer solutions
… accomplished by applying the Leibler dilution approximation theory. While for the less asymmetric diblock copolymer ST(72K) the dilution approximation theory could be approached, for the higher asymmetric ST(117K) a failure of the theory has been encountered. For the system ST(72K) where the …
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