13 edition of **High dimensional probability** found in the catalog.

- 126 Want to read
- 28 Currently reading

Published
**1998**
by Birkhäuser Verlag in Basel, Boston
.

Written in English

- Probabilities,
- Linear topological spaces,
- Gaussian processes

**Edition Notes**

Includes bibliographical references.

Statement | Ernst Eberlein, Marjorie Hahn, Michel Talagrand, editors. |

Series | Progress in probability ;, v. 43, Progress in probability ;, 43. |

Contributions | Eberlein, Ernst., Hahn, Marjorie G., Talagrand, Michel, 1952- |

Classifications | |
---|---|

LC Classifications | QA273 .H6435 1998 |

The Physical Object | |

Pagination | viii, 330 p. ; |

Number of Pages | 330 |

ID Numbers | |

Open Library | OL345816M |

ISBN 10 | 376435867X, 081765867X |

LC Control Number | 98004852 |

Multivariate Statistics: High-Dimensional and Large-Sample Approximations is the first book of its kind to explore how classical multivariate methods can be revised and used in place of conventional statistical tools. Written by prominent researchers in the field, the book focuses on high-dimensional and large-scale approximations and details. 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.

Introduction to High-Dimensional Statistics is a concise guide to state-of-the-art models, techniques, and approaches for handling high-dimensional data. The book is intended to expose the reader to the key concepts and ideas in the most simple settings possible while avoiding unnecessary technicalities. Get e-Books "High Dimensional Probability" on Pdf, ePub, Tuebl, Mobi and Audiobook for FREE. There are more than 1 Million Books that have been enjoyed by people from all over the world. Always update books hourly, if not looking, search in the book search column. Enjoy % FREE.

What is high dimensional probability? Under this broad term one finds a collection of topics associated by the fact that ñ plays a key role in each, whether the idea of high dimension ñ is expressed in the problem or in the methods by which it is approached. The book is an ideal resource for researchers in statistics, mathematics, business and economics, computer sciences, and engineering, as well as a useful text or supplement for graduate-level courses in multivariate analysis, covariance estimation, .

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I am Professor of Mathematics at the University of California, Irvine working in high-dimensional probability theory and its applications. I study probabilistic structures that appear across mathematics and data sciences, in particular random matrix theory, geometric functional analysis, convex and discrete geometry, high-dimensional statistics, information theory, learning theory, signal.

This book covers only a fraction of theoretical apparatus of high-dimensional probability, and it illustrates it with only a sample of data science applications. Each chapter in this book is concluded with a Notes section, which has pointers to other texts on the matter.

In this book, Roman Vershynin, who is a leading researcher in high-dimensional probability and a master of exposition, provides the basic tools and some of the main results and applications of high-dimensional probability.

This book is an excellent textbook for a graduate course that will be appreciated by mathematics, statistics, computer Cited by: High-Dimensional Statistics: A Non-Asymptotic Viewpoint (Cambridge Series in Statistical and Probabilistic Mathematics Book 48) - Kindle edition by Wainwright, Martin J.

Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading High-Dimensional Statistics: A Non-Asymptotic Viewpoint (Cambridge Series in /5(13).

'Non-asymptotic, high-dimensional theory is critical for modern statistics and machine learning. This book is unique in providing a crystal clear, complete and unified treatment of the area. With topics ranging from concentration of measure to graphical models, the author weaves together probability theory and its applications to by: This repository contains my solutions to the exercises in High Dimensional Probability by Roman Vershynin.

The book draft is available online here. I will keep adding the solutions as I progress through the book, and even then I may not be able to solve some of the difficult problems.

Please feel free to point out errors by raising issues. What is high dimensional probability. Under this broad name we High dimensional probability book 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. I highly recommend the book in progress (as of ) by Roman Vershynin for a wonderful introduction to high-dimensional probability and its applications from a.

High-Dimensional Probability | Roman Vershynin | download | B–OK. Download books for free. Find books. In this book, Roman Vershynin, who is a leading researcher in high-dimensional probability and a master of exposition, provides the basic tools and some of the main results and applications of high-dimensional probability.

This book is an excellent textbook for a graduate course that will be appreciated by mathematics, statistics, computer Price: $ 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. high-dimensional probability by Ramon van Handel [vH17] and Roman Ver-shynin [Ver18] were published.

Both are of outstanding quality|much higher than the present notes|and very related to this material. I strongly recom-mend the reader to learn about this fascinating topic in parallel with high-dimensional Size: 1MB.

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 /10(13). In this book, Roman Vershynin, who is a leading researcher in high-dimensional probability and a master of exposition, provides the basic tools and some of the main results and applications of high-dimensional probability.

This book is an excellent textbook for a graduate course that will be appreciated by mathematics, statistics, computer /5(17). In this book, Roman Vershynin, who is a leading researcher in high-dimensional probability and a master of exposition, provides the basic tools and some of the main results and applications of high-dimensional probability.

This book is an excellent textbook for a graduate course that will be appreciated by mathematics, statistics, computer /5(8). 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. The essential prerequisites for reading this book are a rigorous course in probability theory (on Masters or Ph.D.

level), an excellent command of undergraduate linear algebra, and general familiarity with basic notions about Hilbert and normed spaces and linear operators. From the reviews: “This book is a complete study of ℓ 1-penalization based statistical methods for high-dimensional data .Definitely, this book is useful.

its strong level in mathematics makes it more suitable to researchers and graduate students who already have a strong background in statistics. it gives the state-of-the-art of the theory, and therefore can be used for an. $\begingroup$ @MadJack As you get into higher dimensional phenomena, my sense is that the normal "distance" metrics approach of statistics start to breakdown.

You have to deal with various artifacts in high-dimensional settings like holes or lower dimensional subspace embeddings, etc. So I have actually found a lot of value in the very new Topological approaches to probability and statistics. In a basic course in probability theory, we learned about the two most im-portant quantities associated with a random variable X, namely the expec-tation1 (also called mean), and variance.

They will be denoted in this book by EX and Var(X) = E(X EX)2: Let us recall some other classical quantities and functions that describe probability File Size: 2MB.

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.High-Dimensional Probability An Introduction with Applications in Data Science Preface Who is this book for?

This is a textbook in probability in high dimensions with a view toward applica-tions in data sciences. It is intended for doctoral and advanced masters students and beginning researchers in mathematics, statistics, electrical. 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.