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Author: Houman Owhadi
Publisher: Springer Nature
ISBN: 3030821714
Category : Mathematics
Languages : en
Pages : 125
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Book Description
This monograph demonstrates a new approach to the classical mode decomposition problem through nonlinear regression models, which achieve near-machine precision in the recovery of the modes. The presentation includes a review of generalized additive models, additive kernels/Gaussian processes, generalized Tikhonov regularization, empirical mode decomposition, and Synchrosqueezing, which are all related to and generalizable under the proposed framework. Although kernel methods have strong theoretical foundations, they require the prior selection of a good kernel. While the usual approach to this kernel selection problem is hyperparameter tuning, the objective of this monograph is to present an alternative (programming) approach to the kernel selection problem while using mode decomposition as a prototypical pattern recognition problem. In this approach, kernels are programmed for the task at hand through the programming of interpretable regression networks in the context of additive Gaussian processes. It is suitable for engineers, computer scientists, mathematicians, and students in these fields working on kernel methods, pattern recognition, and mode decomposition problems.
Author: Houman Owhadi
Publisher: Springer Nature
ISBN: 3030821714
Category : Mathematics
Languages : en
Pages : 125
Get Book Here
Book Description
This monograph demonstrates a new approach to the classical mode decomposition problem through nonlinear regression models, which achieve near-machine precision in the recovery of the modes. The presentation includes a review of generalized additive models, additive kernels/Gaussian processes, generalized Tikhonov regularization, empirical mode decomposition, and Synchrosqueezing, which are all related to and generalizable under the proposed framework. Although kernel methods have strong theoretical foundations, they require the prior selection of a good kernel. While the usual approach to this kernel selection problem is hyperparameter tuning, the objective of this monograph is to present an alternative (programming) approach to the kernel selection problem while using mode decomposition as a prototypical pattern recognition problem. In this approach, kernels are programmed for the task at hand through the programming of interpretable regression networks in the context of additive Gaussian processes. It is suitable for engineers, computer scientists, mathematicians, and students in these fields working on kernel methods, pattern recognition, and mode decomposition problems.
Author: András Vajda
Publisher: Springer Science & Business Media
ISBN: 1441997393
Category : Technology & Engineering
Languages : en
Pages : 233
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Book Description
This book presents new concepts, techniques and promising programming models for designing software for chips with "many" (hundreds to thousands) processor cores. Given the scale of parallelism inherent to these chips, software designers face new challenges in terms of operating systems, middleware and applications. This will serve as an invaluable, single-source reference to the state-of-the-art in programming many-core chips. Coverage includes many-core architectures, operating systems, middleware, and programming models.
Author: Houman Owhadi
Publisher: Cambridge University Press
ISBN: 1108484360
Category : Mathematics
Languages : en
Pages : 491
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Book Description
Presents interplays between numerical approximation and statistical inference as a pathway to simple solutions to fundamental problems.
Author: Michael J. Best
Publisher: CRC Press
ISBN: 1498735770
Category : Business & Economics
Languages : en
Pages : 401
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Book Description
Quadratic programming is a mathematical technique that allows for the optimization of a quadratic function in several variables. QP is a subset of Operations Research and is the next higher lever of sophistication than Linear Programming. It is a key mathematical tool in Portfolio Optimization and structural plasticity. This is useful in Civil Engineering as well as Statistics.
Author: Roman Wyrzykowski
Publisher: Springer
ISBN: 3540681116
Category : Computers
Languages : en
Pages : 1437
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Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Parallel Processing and Applied Mathematics, PPAM 2007, held in Gdansk, Poland, in September 2007. The 63 revised full papers of the main conference presented together with 85 revised workshop papers were carefully reviewed and selected from over 250 initial submissions. The papers are organized in topical sections on parallel/distributed architectures and mobile computing, numerical algorithms and parallel numerics, parallel and distributed non-numerical algorithms, environments and tools for as well as applications of parallel/distributed/grid computing, evolutionary computing, meta-heuristics and neural networks. The volume proceeds with the outcome of 11 workshops and minisymposia dealing with novel data formats and algorithms for dense linear algebra computations, combinatorial tools for parallel sparse matrix computations, grid applications and middleware, large scale computations on grids, models, algorithms and methodologies for grid-enabled computing environments, scheduling for parallel computing, language-based parallel programming models, performance evaluation of parallel applications on large-scale systems, parallel computational biology, high performance computing for engineering applications, and the minisymposium on interval analysis.
Author: James E. Gentle
Publisher: Springer Science & Business Media
ISBN: 1461206235
Category : Mathematics
Languages : en
Pages : 229
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Book Description
Accurate and efficient computer algorithms for factoring matrices, solving linear systems of equations, and extracting eigenvalues and eigenvectors. Regardless of the software system used, the book describes and gives examples of the use of modern computer software for numerical linear algebra. It begins with a discussion of the basics of numerical computations, and then describes the relevant properties of matrix inverses, factorisations, matrix and vector norms, and other topics in linear algebra. The book is essentially self- contained, with the topics addressed constituting the essential material for an introductory course in statistical computing. Numerous exercises allow the text to be used for a first course in statistical computing or as supplementary text for various courses that emphasise computations.
Author:
Publisher: Eyescale Software GmbH
ISBN:
Category :
Languages : en
Pages : 68
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Book Description
Author: Fuzhen Zhang
Publisher: Springer Science & Business Media
ISBN: 0387242732
Category : Mathematics
Languages : en
Pages : 308
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Book Description
This book describes the Schur complement as a rich and basic tool in mathematical research and applications and discusses many significant results that illustrate its power and fertility. Coverage includes historical development, basic properties, eigenvalue and singular value inequalities, matrix inequalities in both finite and infinite dimensional settings, closure properties, and applications in statistics, probability, and numerical analysis.
Author: Stefan Eilemann
Publisher: Eyescale Software GmbH
ISBN: 1491202807
Category : Computers
Languages : en
Pages : 122
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Book Description
The official reference for developing and deploying parallel, scalable OpenGL applications based on the Equalizer parallel rendering framework.
Author: Ralph D. Koehler
Publisher:
ISBN: 9780759611870
Category : Computers
Languages : en
Pages : 352
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Book Description
A fascinatingly many-sided personality Vadim Bytensky retains the broadly arching interests of the traditional Russian intellectual a man with a broad and devoted knowledge of world literature, music, philosophy, and politics that constantly illuminate his traveler's observations." "Bytensky emerges as a well-rounded and harmonious personality, who combines sober reasoning with a romantic enthusiasm, a sentimental attachment to an old cultural inheritance, and an open, if sometimes skeptical and critical, curiosity about things new."
