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| Author | : B. Roy Frieden |
| Publisher | : Cambridge University Press |
| Total Pages | : 334 |
| Release | : 1998-12-10 |
| Genre | : 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 |
| Total Pages | : 516 |
| Release | : 2004-06-10 |
| Genre | : Mathematics |
| ISBN | : 9780521009119 |
A new edition of the hugely successful 'Physics from Fisher Information'.
| Author | : Roy Frieden |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 375 |
| Release | : 2010-05-27 |
| Genre | : 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 | : R.F. Streater |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 169 |
| Release | : 2007-07-16 |
| Genre | : 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 | : Rolando Rebolledo |
| Publisher | : World Scientific |
| Total Pages | : 339 |
| Release | : 2011 |
| Genre | : 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 | : Hidetoshi Nishimori |
| Publisher | : Clarendon Press |
| Total Pages | : 264 |
| Release | : 2001 |
| Genre | : Computers |
| ISBN | : 9780198509400 |
This superb new book is one of the first publications in recent years to provide a broad overview of this interdisciplinary field. Most of the book is written in a self contained manner, assuming only a general knowledge of statistical mechanics and basic probabilty theory . It provides the reader with a sound introduction to the field and to the analytical techniques necessary to follow its most recent developments
| Author | : Julian Hofrichter |
| Publisher | : Springer |
| Total Pages | : 323 |
| Release | : 2017-02-23 |
| Genre | : 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 |
| Total Pages | : 553 |
| Release | : 2005-02-21 |
| Genre | : 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 | : Geert Verdoolaege |
| Publisher | : MDPI |
| Total Pages | : 355 |
| Release | : 2019-04-04 |
| Genre | : 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 | : Anthony Frederic John Levi |
| Publisher | : Allied Publishers |
| Total Pages | : 392 |
| Release | : 2006 |
| Genre | : Quantum theory |
| ISBN | : 9788177642001 |
This updated and expanded edition makes quantum mechanics accessible to electrical engineers, mechanical engineers, materials scientists and applied physicists by using real-world applications and engineering examples. Numerous illustrations, exercises, worked examples and problems are included; Matlab source codes to support the text are available from www.cambridge.org/9780521860963.
