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  • Machine Learning Solutions for Inverse Problems: Part B

    Collections Livre 27 - Handbook of Numerical Analysis
    Machine Learning Solutions for Inverse Problems: Part B, Volume 27 in the Handbook of Numerical Analysis, continues the exploration of emerging approaches at the intersection of machine learning and inverse problem theory. This volume presents a collection of chapters addressing a wide range of contemporary topics, including deep image prior methods for computed tomography, data-consistent ... En savoir plus

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  • Machine Learning Solutions for Inverse Problems: Part A

    Collections Livre 26 - Handbook of Numerical Analysis
    Machine Learning Solutions for Inverse Problems: Part A, Volume 26 in the Handbook of Numerical Analysis, highlights new advances in the field, with this new volume presenting interesting chapters on a variety of timely topics, including Data-Driven Approaches for Generalized Lasso Problems, Implicit Regularization of the Deep Inverse Prior via (Inertial) Gradient Flow, Generalized Hardness of ... En savoir plus

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  • Fractional Differential Equations

    An Approach via Fractional Derivatives

    par Bangti Jin ...
    Collections series Mathematics and Statistics (R0)
    This graduate textbook provides a self-contained introduction to modern mathematical theory on fractional differential equations. It addresses both ordinary and partial differential equations with a focus on detailed solution theory, especially regularity theory under realistic assumptions on the problem data. The text includes an extensive bibliography, application-driven modeling, extensive ... En savoir plus

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  • Numerical Treatment and Analysis of Time-Fractional Evolution Equations

    par Bangti Jin, Zhi Zhou ...
    Collections series Mathematics and Statistics (R0)
    This book discusses numerical methods for solving time-fractional evolution equations. The approach is based on first discretizing in the spatial variables by the Galerkin finite element method, using piecewise linear trial functions, and then applying suitable time stepping schemes, of the type either convolution quadrature or finite difference. The main concern is on stability and error analysis ... En savoir plus

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  • Inverse Problems: Tikhonov Theory And Algorithms

    Collections Livre 22 - Series On Applied Mathematics
    Inverse problems arise in practical applications whenever one needs to deduce unknowns from observables. This monograph is a valuable contribution to the highly topical field of computational inverse problems. Both mathematical theory and numerical algorithms for model-based inverse problems are discussed in detail. The mathematical theory focuses on nonsmooth Tikhonov regularization for linear ... En savoir plus

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  • Before Machine Learning Volume 1 - Linear Algebra for A.I

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