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# 📙 High Dimensional Probability VII: The Cargèse Volume by Christian Houdré, David M. Mason, Patricia Reynaud-Bouret, Jan Rosiński (eds.) — free epub

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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.

- Series:
**Progress in Probability 71** - Author:
**Christian Houdré, David M. Mason, Patricia Reynaud-Bouret, Jan Rosiński (eds.)** - Year:
**2016** - Publisher:
**Birkhäuser Basel** - Language:
**English** - ISBN:
**978-3-319-40517-9,978-3-319-40519-3**

- File size:
**6 111 112** - Format:
**pdf**

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If we try to describe real world in mathematical terms, we will see that real life is very often a high–dimensional chaos. Sometimes, by ‘pushing hard’, we manage to make order out of it; yet sometimes, we need simply to accept our life as it is. To be ab...

"Geometric Structure of High-Dimensional Data and Dimensionality Reduction" adopts data geometry as a framework to address various methods of dimensionality reduction. In addition to the introduction to well-known linear methods, the book moreover stresse...

Methods for estimating sparse and large covariance matricesCovariance and correlation matrices play fundamental roles in every aspect of the analysis of multivariate data collected from a variety of fields including business and economics, health care, en...

This book offers a coherent and comprehensive approach to feature subset selection in the scope of classification problems, explaining the foundations, real application problems and the challenges of feature selection for high-dimensional data.The authors...

The Novikov conjecture is the single most important unsolved problem in the topology of high-dimensional non-simply connected manifolds. These two volumes give a snapshot of the status of work on the Novikov conjecture and related topics from many points...

This is the second volume of a three-volume set comprising a comprehensive study of the tractability of multivariate problems. The second volume deals with algorithms using standard information consisting of function values for the approximation of linear...

If you place a large number of points randomly in the unit square, what is the distribution of the radius of the largest circle containing no points? Of the smallest circle containing 4 points? Why do Brownian sample paths have local maxima but not points...

A classic -- offering comprehensive and unified coverage with a balance between theory and practice! Pattern recognition is integral to a wide spectrum of scientific disciplines and technologies including image analysis, speech recognition, audio classif...

Papers appearing in this volume are the Invited Talks given at ICIAM 2003, the 5th International Congress of Industrial and Applied Mathematics, held in Sydney over the period July 7 to 11, 2003. The Congress celebrates and describes the contributions of ...

It is not a particularly rewarding task to engage in writing a book on a subject which is undergoing a rapid and potentially revolutionary develop ment, but, on the other hand, the investigation of transport of substances into and out of cells has reache...

Growth, as we conceive it, is the study of change in an organism not yet mature. Differential growth creates form: external form through growth rates which vary from one part of the body to another and one tissue to another; and internal form through the ...

1 Communication Elements Constraining Animal Learning and Performance.- Odor of Nonreward.- Function of Odors.- Generality of Discrimination and Cue Effects.- Generality of Pheromonal Effects.- Agonistic Postures.- A Concluding Comment.- References.- 2 An...

When we were first approached by the senior editors of this series to edit a book on interactions between the host and infectious agents, we accepted this offer as an exciting challenge. The only condition, readily agreed upon, was that such a book should...

The interest of describing the ground state properties of a system in terms of one electron density (or its two spin components) is obvious, in particular due to the simple physical significance of this function. Recent experimental progress in diffractio...

This Brief provides a general description of the European Rapid Alert System for Food and Feed (RASFF). It describes the RASFF approach on the legal level and with reference to notification procedures, including also new tools, which were launched in 2014...