High Dimensional Probability Viii

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High Dimensional Probability VIII

Author : Nathael Gozlan
Publisher : Springer Nature
ISBN 13 : 3030263916
Total Pages : 457 pages
Book Rating : 4.0/5 (32 download)

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Book Synopsis High Dimensional Probability VIII by : Nathael Gozlan

Download or read book High Dimensional Probability VIII written by Nathael Gozlan and published by Springer Nature. This book was released on 2019-11-26 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects selected papers from the 8th High Dimensional Probability meeting held at Casa Matemática Oaxaca (CMO), Mexico. High Dimensional Probability (HDP) is an area of mathematics that includes the study of probability distributions and limit theorems in infinite-dimensional spaces such as Hilbert spaces and Banach spaces. The most remarkable feature of this area is that it has resulted in the creation of powerful new tools and perspectives, whose range of application has led to interactions with other subfields of mathematics, statistics, and computer science. These include random matrices, nonparametric statistics, empirical processes, statistical learning theory, concentration of measure phenomena, strong and weak approximations, functional estimation, combinatorial optimization, random graphs, information theory and convex geometry. The contributions in this volume show that HDP theory continues to thrive and develop new tools, methods, techniques and perspectives to analyze random phenomena.

High Dimensional Probability III

Author : Joergen Hoffmann-Joergensen
Publisher : Birkhäuser
ISBN 13 : 3034880596
Total Pages : 346 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis High Dimensional Probability III by : Joergen Hoffmann-Joergensen

Download or read book High Dimensional Probability III written by Joergen Hoffmann-Joergensen and published by Birkhäuser. This book was released on 2012-12-06 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: The title High Dimensional Probability is used to describe the many tributaries of research on Gaussian processes and probability in Banach spaces that started in the early 1970s. Many of the problems that motivated researchers at that time were solved. But the powerful new tools created for their solution turned out to be applicable to other important areas of probability. They led to significant advances in the study of empirical processes and other topics in theoretical statistics and to a new approach to the study of aspects of Lévy processes and Markov processes in general. The papers in this book reflect these broad categories. The volume thus will be a valuable resource for postgraduates and reseachers in probability theory and mathematical statistics.

High-Dimensional Probability

Author : Roman Vershynin
Publisher : Cambridge University Press
ISBN 13 : 1108244548
Total Pages : 299 pages
Book Rating : 4.1/5 (82 download)

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Book Synopsis High-Dimensional Probability by : Roman Vershynin

Download or read book High-Dimensional Probability written by Roman Vershynin and published by Cambridge University Press. This book was released on 2018-09-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: High-dimensional probability offers insight into the behavior of random vectors, random matrices, random subspaces, and objects used to quantify uncertainty in high dimensions. Drawing on ideas from probability, analysis, and geometry, it lends itself to applications in mathematics, statistics, theoretical computer science, signal processing, optimization, and more. It is the first to integrate theory, key tools, and modern applications of high-dimensional probability. Concentration inequalities form the core, and it covers both classical results such as Hoeffding's and Chernoff's inequalities and modern developments such as the matrix Bernstein's inequality. It then introduces the powerful methods based on stochastic processes, including such tools as Slepian's, Sudakov's, and Dudley's inequalities, as well as generic chaining and bounds based on VC dimension. A broad range of illustrations is embedded throughout, including classical and modern results for covariance estimation, clustering, networks, semidefinite programming, coding, dimension reduction, matrix completion, machine learning, compressed sensing, and sparse regression.

High Dimensional Probability II

Author : Evarist Giné
Publisher : Springer Science & Business Media
ISBN 13 : 1461213584
Total Pages : 491 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis High Dimensional Probability II by : Evarist Giné

Download or read book High Dimensional Probability II written by Evarist Giné and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: High dimensional probability, in the sense that encompasses the topics rep resented in this volume, began about thirty years ago with research in two related areas: limit theorems for sums of independent Banach space valued random vectors and general Gaussian processes. An important feature in these past research studies has been the fact that they highlighted the es sential probabilistic nature of the problems considered. In part, this was because, by working on a general Banach space, one had to discard the extra, and often extraneous, structure imposed by random variables taking values in a Euclidean space, or by processes being indexed by sets in R or Rd. Doing this led to striking advances, particularly in Gaussian process theory. It also led to the creation or introduction of powerful new tools, such as randomization, decoupling, moment and exponential inequalities, chaining, isoperimetry and concentration of measure, which apply to areas well beyond those for which they were created. The general theory of em pirical processes, with its vast applications in statistics, the study of local times of Markov processes, certain problems in harmonic analysis, and the general theory of stochastic processes are just several of the broad areas in which Gaussian process techniques and techniques from probability in Banach spaces have made a substantial impact. Parallel to this work on probability in Banach spaces, classical proba bility and empirical process theory were enriched by the development of powerful results in strong approximations.

High Dimensional Probability III

Author : Jørgen Hoffmann-Jørgensen
Publisher : Birkhauser
ISBN 13 : 9780817621872
Total Pages : 346 pages
Book Rating : 4.6/5 (218 download)

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Book Synopsis High Dimensional Probability III by : Jørgen Hoffmann-Jørgensen

Download or read book High Dimensional Probability III written by Jørgen Hoffmann-Jørgensen and published by Birkhauser. This book was released on 2003 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:

High Dimensional Probability

Author : Ernst Eberlein
Publisher : Birkhäuser
ISBN 13 : 3034888295
Total Pages : 336 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis High Dimensional Probability by : Ernst Eberlein

Download or read book High Dimensional Probability written by Ernst Eberlein and published by Birkhäuser. This book was released on 2012-12-06 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is high dimensional probability? Under this broad name we collect topics with a common philosophy, where the idea of high dimension plays a key role, either in the problem or in the methods by which it is approached. Let us give a specific example that can be immediately understood, that of Gaussian processes. Roughly speaking, before 1970, the Gaussian processes that were studied were indexed by a subset of Euclidean space, mostly with dimension at most three. Assuming some regularity on the covariance, one tried to take advantage of the structure of the index set. Around 1970 it was understood, in particular by Dudley, Feldman, Gross, and Segal that a more abstract and intrinsic point of view was much more fruitful. The index set was no longer considered as a subset of Euclidean space, but simply as a metric space with the metric canonically induced by the process. This shift in perspective subsequently lead to a considerable clarification of many aspects of Gaussian process theory, and also to its applications in other settings.

High Dimensional Probability

Author : Evarist Giné
Publisher : IMS
ISBN 13 : 9780940600676
Total Pages : 288 pages
Book Rating : 4.6/5 (6 download)

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Book Synopsis High Dimensional Probability by : Evarist Giné

Download or read book High Dimensional Probability written by Evarist Giné and published by IMS. This book was released on 2006 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:

High Dimensional Probability IX

Author : Radosław Adamczak
Publisher : Springer Nature
ISBN 13 : 3031269799
Total Pages : 445 pages
Book Rating : 4.0/5 (312 download)

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Book Synopsis High Dimensional Probability IX by : Radosław Adamczak

Download or read book High Dimensional Probability IX written by Radosław Adamczak and published by Springer Nature. This book was released on 2023-06-05 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects selected papers from the Ninth High Dimensional Probability Conference, held virtually from June 15-19, 2020. These papers cover a wide range of topics and demonstrate how high-dimensional probability remains an active area of research with applications across many mathematical disciplines. Chapters are organized around four general topics: inequalities and convexity; limit theorems; stochastic processes; and high-dimensional statistics. High Dimensional Probability IX will be a valuable resource for researchers in this area.

High-Dimensional Probability

Author : Roman Vershynin
Publisher : Cambridge University Press
ISBN 13 : 1108415199
Total Pages : 299 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis High-Dimensional Probability by : Roman Vershynin

Download or read book High-Dimensional Probability written by Roman Vershynin and published by Cambridge University Press. This book was released on 2018-09-27 with total page 299 pages. Available in PDF, EPUB and Kindle. Book excerpt: An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

High Dimensional Probability V

Author : David M. Mason
Publisher :
ISBN 13 : 9780940600782
Total Pages : 356 pages
Book Rating : 4.6/5 (7 download)

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Book Synopsis High Dimensional Probability V by : David M. Mason

Download or read book High Dimensional Probability V written by David M. Mason and published by . This book was released on 2009 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Stochastic Analysis and Related Topics VIII

Author : Ulug Capar
Publisher : Springer Science & Business Media
ISBN 13 : 9783764369989
Total Pages : 224 pages
Book Rating : 4.3/5 (699 download)

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Book Synopsis Stochastic Analysis and Related Topics VIII by : Ulug Capar

Download or read book Stochastic Analysis and Related Topics VIII written by Ulug Capar and published by Springer Science & Business Media. This book was released on 2003-04 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the last years, stochastic analysis has had an enormous progress with the impetus originating from different branches of mathematics: PDE's and the Malliavin calculus, quantum physics, path space analysis on curved manifolds via probabilistic methods, and more. This volume contains selected contributions which were presented at the 8th Silivri Workshop on Stochastic Analysis and Related Topics, held in September 2000 in Gazimagusa, North Cyprus. The topics include stochastic control theory, generalized functions in a nonlinear setting, tangent spaces of manifold-valued paths with quasi-invariant measures, and applications in game theory, theoretical biology and theoretical physics. Contributors: A.E. Bashirov, A. Bensoussan and J. Frehse, U. Capar and H. Aktuglul, A.B. Cruzeiro and Kai-Nan Xiang, E. Hausenblas, Y. Ishikawa, N. Mahmudov, P. Malliavin and U. Taneri, N. Privault, A.S. Üstünel

High Dimensional Probability VII

Author : Christian Houdré
Publisher : Birkhäuser
ISBN 13 : 3319405195
Total Pages : 480 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis High Dimensional Probability VII by : Christian Houdré

Download or read book High Dimensional Probability VII written by Christian Houdré and published by Birkhäuser. This book was released on 2016-09-21 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume collects selected papers from the 7th High Dimensional Probability meeting held at the Institut d'Études Scientifiques de Cargèse (IESC) in Corsica, France. High Dimensional Probability (HDP) is an area of mathematics that includes the study of probability distributions and limit theorems in infinite-dimensional spaces such as Hilbert spaces and Banach spaces. The most remarkable feature of this area is that it has resulted in the creation of powerful new tools and perspectives, whose range of application has led to interactions with other subfields of mathematics, statistics, and computer science. These include random matrices, nonparametric statistics, empirical processes, statistical learning theory, concentration of measure phenomena, strong and weak approximations, functional estimation, combinatorial optimization, and random graphs. The contributions in this volume show that HDP theory continues to thrive and develop new tools, methods, techniques and perspectives to analyze random phenomena.

High Dimensional Probability

Author :
Publisher :
ISBN 13 :
Total Pages : 275 pages
Book Rating : 4.:/5 (113 download)

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Book Synopsis High Dimensional Probability by :

Download or read book High Dimensional Probability written by and published by . This book was released on 2006 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt:

High Dimensional Probability VI

Author : Christian Houdré
Publisher : Springer Science & Business Media
ISBN 13 : 3034804903
Total Pages : 374 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis High Dimensional Probability VI by : Christian Houdré

Download or read book High Dimensional Probability VI written by Christian Houdré and published by Springer Science & Business Media. This book was released on 2013-04-19 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of papers by participants at High Dimensional Probability VI Meeting held from October 9-14, 2011 at the Banff International Research Station in Banff, Alberta, Canada. High Dimensional Probability (HDP) is an area of mathematics that includes the study of probability distributions and limit theorems in infinite-dimensional spaces such as Hilbert spaces and Banach spaces. The most remarkable feature of this area is that it has resulted in the creation of powerful new tools and perspectives, whose range of application has led to interactions with other areas of mathematics, statistics, and computer science. These include random matrix theory, nonparametric statistics, empirical process theory, statistical learning theory, concentration of measure phenomena, strong and weak approximations, distribution function estimation in high dimensions, combinatorial optimization, and random graph theory. The papers in this volume show that HDP theory continues to develop new tools, methods, techniques and perspectives to analyze the random phenomena. Both researchers and advanced students will find this book of great use for learning about new avenues of research.

Financial Cryptography and Data Security

Author : Ittay Eyal
Publisher : Springer Nature
ISBN 13 : 3031182839
Total Pages : 724 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Financial Cryptography and Data Security by : Ittay Eyal

Download or read book Financial Cryptography and Data Security written by Ittay Eyal and published by Springer Nature. This book was released on 2022-10-21 with total page 724 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes revised selected papers from the proceedings of the 26th International Conference on Financial Cryptography and Data Security, FC 2022, which was held in Grenada during May 2022. The 32 full papers and 4 short papers included in this book were carefully reviewed andselected from 159 submissions. They were organized in topical sections as follows: tokenomics; MPC (mostly); privacy; ZKP; old-school consensus; mostly payment networks; incentives; not proof of work; performance; measurements.

High-Dimensional Statistics

Author : Martin J. Wainwright
Publisher : Cambridge University Press
ISBN 13 : 1108498027
Total Pages : 571 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis High-Dimensional Statistics by : Martin J. Wainwright

Download or read book High-Dimensional Statistics written by Martin J. Wainwright and published by Cambridge University Press. This book was released on 2019-02-21 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: A coherent introductory text from a groundbreaking researcher, focusing on clarity and motivation to build intuition and understanding.

Harmonic Analysis and Convexity

Author : Alexander Koldobsky
Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110775433
Total Pages : 608 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Harmonic Analysis and Convexity by : Alexander Koldobsky

Download or read book Harmonic Analysis and Convexity written by Alexander Koldobsky and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-07-24 with total page 608 pages. Available in PDF, EPUB and Kindle. Book excerpt: In recent years, the interaction between harmonic analysis and convex geometry has increased which has resulted in solutions to several long-standing problems. This collection is based on the topics discussed during the Research Semester on Harmonic Analysis and Convexity at the Institute for Computational and Experimental Research in Mathematics in Providence RI in Fall 2022. The volume brings together experts working in related fields to report on the status of major problems in the area including the isomorphic Busemann-Petty and slicing problems for arbitrary measures, extremal problems for Fourier extension and extremal problems for classical singular integrals of martingale type, among others.