High Dimensional Probability Viii

Author : Nathael Gozlan,Rafał Latała,Karim Lounici,Mokshay Madiman
Publisher : Springer Nature
Page : 457 pages
File Size : 46,7 Mb
Release : 2019-11-26
Category : Mathematics
ISBN : 9783030263911

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High Dimensional Probability VIII by Nathael Gozlan,Rafał Latała,Karim Lounici,Mokshay Madiman Pdf

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.

Author : Joergen Hoffmann-Joergensen,Michael B. Marcus,Jon A. Wellner
Publisher : Birkhäuser
Page : 346 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034880596

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High Dimensional Probability III by Joergen Hoffmann-Joergensen,Michael B. Marcus,Jon A. Wellner Pdf

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.

Author : Ernst Eberlein,Marjorie Hahn
Publisher : Birkhäuser
Page : 336 pages
File Size : 47,9 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034888295

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High Dimensional Probability by Ernst Eberlein,Marjorie Hahn Pdf

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.

Author : Evarist Giné,David M. Mason,Jon A. Wellner
Publisher : Springer Science & Business Media
Page : 491 pages
File Size : 50,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461213581

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High Dimensional Probability II by Evarist Giné,David M. Mason,Jon A. Wellner Pdf

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.

Author : Evarist Giné
Publisher : IMS
Page : 288 pages
File Size : 52,5 Mb
Release : 2006
Category : Mathematics
ISBN : 0940600676

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High Dimensional Probability by Evarist Giné Pdf

Author : Jørgen Hoffmann-Jørgensen,Michael B. Marcus,Jon A. Wellner
Publisher : Birkhauser
Page : 346 pages
File Size : 54,9 Mb
Release : 2003
Category : Mathematics
ISBN : 0817621873

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High Dimensional Probability III by Jørgen Hoffmann-Jørgensen,Michael B. Marcus,Jon A. Wellner Pdf

Author : Radosław Adamczak,Nathael Gozlan,Karim Lounici,Mokshay Madiman
Publisher : Springer Nature
Page : 445 pages
File Size : 45,6 Mb
Release : 2023-06-05
Category : Mathematics
ISBN : 9783031269790

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High Dimensional Probability IX by Radosław Adamczak,Nathael Gozlan,Karim Lounici,Mokshay Madiman Pdf

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.

Author : Anonim
Publisher : Unknown
Page : 275 pages
File Size : 45,9 Mb
Release : 2006
Category : Electronic
ISBN : OCLC:1132151423

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High Dimensional Probability by Anonim Pdf

Author : Ulug Capar
Publisher : Springer Science & Business Media
Page : 224 pages
File Size : 49,8 Mb
Release : 2003-04
Category : Mathematics
ISBN : 3764369981

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Stochastic Analysis and Related Topics VIII by Ulug Capar Pdf

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

Author : Christian Houdré,David M. Mason,Patricia Reynaud-Bouret,Jan Rosiński
Publisher : Birkhäuser
Page : 480 pages
File Size : 41,6 Mb
Release : 2016-09-21
Category : Mathematics
ISBN : 9783319405193

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High Dimensional Probability VII by Christian Houdré,David M. Mason,Patricia Reynaud-Bouret,Jan Rosiński Pdf

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.

Author : Roman Vershynin
Publisher : Cambridge University Press
Page : 299 pages
File Size : 47,6 Mb
Release : 2018-09-27
Category : Business & Economics
ISBN : 9781108415194

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High-Dimensional Probability by Roman Vershynin Pdf

An integrated package of powerful probabilistic tools and key applications in modern mathematical data science.

Author : David M. Mason
Publisher : Unknown
Page : 356 pages
File Size : 41,7 Mb
Release : 2009
Category : Gaussian processes
ISBN : 0940600781

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High Dimensional Probability V by David M. Mason Pdf

Author : Christian Houdré,David M. Mason,Jan Rosiński,Jon A. Wellner
Publisher : Springer Science & Business Media
Page : 374 pages
File Size : 48,6 Mb
Release : 2013-04-19
Category : Mathematics
ISBN : 9783034804905

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High Dimensional Probability VI by Christian Houdré,David M. Mason,Jan Rosiński,Jon A. Wellner Pdf

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.​

Author : Ittay Eyal,Juan Garay
Publisher : Springer Nature
Page : 724 pages
File Size : 47,5 Mb
Release : 2022-10-21
Category : Computers
ISBN : 9783031182839

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Financial Cryptography and Data Security by Ittay Eyal,Juan Garay Pdf

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.

Author : Alexander Koldobsky,Alexander Volberg
Publisher : Walter de Gruyter GmbH & Co KG
Page : 608 pages
File Size : 43,8 Mb
Release : 2023-07-24
Category : Mathematics
ISBN : 9783110775433

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Harmonic Analysis and Convexity by Alexander Koldobsky,Alexander Volberg Pdf

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.