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Author : B. Roy Frieden
Publisher : Cambridge University Press
Page : 334 pages
File Size : 43,57 MB
Release : 1998-12-10
Category : Computers
ISBN : 9780521631679
A unified derivation of physics from Fisher information, giving new insights into physical phenomena.
Author : B. Roy Frieden
Publisher : Cambridge University Press
Page : 516 pages
File Size : 45,34 MB
Release : 2004-06-10
Category : Mathematics
ISBN : 9780521009119
A new edition of the hugely successful 'Physics from Fisher Information'.
Author : Roy Frieden
Publisher : Springer Science & Business Media
Page : 375 pages
File Size : 44,63 MB
Release : 2010-05-27
Category : Computers
ISBN : 1846287774
This book uses a mathematical approach to deriving the laws of science and technology, based upon the concept of Fisher information. The approach that follows from these ideas is called the principle of Extreme Physical Information (EPI). The authors show how to use EPI to determine the theoretical input/output laws of unknown systems. Will benefit readers whose math skill is at the level of an undergraduate science or engineering degree.
Author : Rolando Rebolledo
Publisher : World Scientific
Page : 339 pages
File Size : 16,43 MB
Release : 2011
Category : Mathematics
ISBN : 9814338737
This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and statistics. It presents a carefully chosen collection of articles by experts to highlight the latest developments in those fields. Included in this volume are expository papers which will help increase communication between researchers working in these areas. The tools and techniques presented here will be of great value to research mathematicians, graduate students and applied mathematicians.
Author : R.F. Streater
Publisher : Springer Science & Business Media
Page : 169 pages
File Size : 15,61 MB
Release : 2007-07-16
Category : Science
ISBN : 3540365826
This book deals with a selection of research topics in theoretical physics that have (almost) been proven to be a dead-end or continue at least to be highly controversial. Nevertheless, small but dedicated research communities continue to work on these issues. In a series of essays this book describes their work and struggle as well as the chances of any breakthrough in these areas. It is written as both an entertainment and serious study.
Author : Len Fisher
Publisher : Basic Books
Page : 280 pages
File Size : 20,76 MB
Release : 2008-11-04
Category : Science
ISBN : 0786726938
Praised by Entertainment Weekly as “the man who put the fizz into physics,” Dr. Len Fisher turns his attention to the science of cooperation in his lively and thought-provoking book. Fisher shows how the modern science of game theory has helped biologists to understand the evolution of cooperation in nature, and investigates how we might apply those lessons to our own society. In a series of experiments that take him from the polite confines of an English dinner party to crowded supermarkets, congested Indian roads, and the wilds of outback Australia, not to mention baseball strategies and the intricacies of quantum mechanics, Fisher sheds light on the problem of global cooperation. The outcomes are sometimes hilarious, sometimes alarming, but always revealing. A witty romp through a serious science, Rock, Paper, Scissors will both teach and delight anyone interested in what it what it takes to get people to work together.
Author : Geert Verdoolaege
Publisher : MDPI
Page : 355 pages
File Size : 18,5 MB
Release : 2019-04-04
Category : Juvenile Nonfiction
ISBN : 3038976326
This Special Issue of the journal Entropy, titled “Information Geometry I”, contains a collection of 17 papers concerning the foundations and applications of information geometry. Based on a geometrical interpretation of probability, information geometry has become a rich mathematical field employing the methods of differential geometry. It has numerous applications to data science, physics, and neuroscience. Presenting original research, yet written in an accessible, tutorial style, this collection of papers will be useful for scientists who are new to the field, while providing an excellent reference for the more experienced researcher. Several papers are written by authorities in the field, and topics cover the foundations of information geometry, as well as applications to statistics, Bayesian inference, machine learning, complex systems, physics, and neuroscience.
Author : Julian Hofrichter
Publisher : Springer
Page : 323 pages
File Size : 43,95 MB
Release : 2017-02-23
Category : Mathematics
ISBN : 3319520458
The present monograph develops a versatile and profound mathematical perspective of the Wright--Fisher model of population genetics. This well-known and intensively studied model carries a rich and beautiful mathematical structure, which is uncovered here in a systematic manner. In addition to approaches by means of analysis, combinatorics and PDE, a geometric perspective is brought in through Amari's and Chentsov's information geometry. This concept allows us to calculate many quantities of interest systematically; likewise, the employed global perspective elucidates the stratification of the model in an unprecedented manner. Furthermore, the links to statistical mechanics and large deviation theory are explored and developed into powerful tools. Altogether, the manuscript provides a solid and broad working basis for graduate students and researchers interested in this field.
Author : Masahito Hayashi
Publisher : World Scientific
Page : 553 pages
File Size : 37,39 MB
Release : 2005-02-21
Category : Science
ISBN : 981448198X
Quantum statistical inference, a research field with deep roots in the foundations of both quantum physics and mathematical statistics, has made remarkable progress since 1990. In particular, its asymptotic theory has been developed during this period. However, there has hitherto been no book covering this remarkable progress after 1990; the famous textbooks by Holevo and Helstrom deal only with research results in the earlier stage (1960s-1970s).This book presents the important and recent results of quantum statistical inference. It focuses on the asymptotic theory, which is one of the central issues of mathematical statistics and had not been investigated in quantum statistical inference until the early 1980s. It contains outstanding papers after Holevo's textbook, some of which are of great importance but are not available now.The reader is expected to have only elementary mathematical knowledge, and therefore much of the content will be accessible to graduate students as well as research workers in related fields. Introductions to quantum statistical inference have been specially written for the book. Asymptotic Theory of Quantum Statistical Inference: Selected Papers will give the reader a new insight into physics and statistical inference.
Author : Arni S. R. Srinivasa Rao
Publisher : Elsevier
Page : 248 pages
File Size : 17,81 MB
Release : 2021-09-28
Category : Mathematics
ISBN : 0323855679
The subject of information geometry blends several areas of statistics, computer science, physics, and mathematics. The subject evolved from the groundbreaking article published by legendary statistician C.R. Rao in 1945. His works led to the creation of Cramer-Rao bounds, Rao distance, and Rao-Blackawellization. Fisher-Rao metrics and Rao distances play a very important role in geodesics, econometric analysis to modern-day business analytics. The chapters of the book are written by experts in the field who have been promoting the field of information geometry and its applications. Written by experts for users of information geometry Basics to advanced readers are equally taken care Origins and Clarity on Foundations