Identification and Other Probabilistic Models

Identification and Other Probabilistic Models
Author :
Publisher : Springer Nature
Total Pages : 720
Release :
ISBN-10 : 9783030650728
ISBN-13 : 3030650723
Rating : 4/5 (28 Downloads)

Book Synopsis Identification and Other Probabilistic Models by : Rudolf Ahlswede

Download or read book Identification and Other Probabilistic Models written by Rudolf Ahlswede and published by Springer Nature. This book was released on 2021-06-22 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: The sixth volume of Rudolf Ahlswede's lectures on Information Theory is focused on Identification Theory. In contrast to Shannon's classical coding scheme for the transmission of a message over a noisy channel, in the theory of identification the decoder is not really interested in what the received message is, but only in deciding whether a message, which is of special interest to him, has been sent or not. There are also algorithmic problems where it is not necessary to calculate the solution, but only to check whether a certain given answer is correct. Depending on the problem, this answer might be much easier to give than finding the solution. ``Easier'' in this context means using fewer resources like channel usage, computing time or storage space. Ahlswede and Dueck's main result was that, in contrast to transmission problems, where the possible code sizes grow exponentially fast with block length, the size of identification codes will grow doubly exponentially fast. The theory of identification has now developed into a sophisticated mathematical discipline with many branches and facets, forming part of the Post Shannon theory in which Ahlswede was one of the leading experts. New discoveries in this theory are motivated both by concrete engineering problems and by explorations of the inherent properties of the mathematical structures. Rudolf Ahlswede wrote: It seems that the whole body of present day Information Theory will undergo serious revisions and some dramatic expansions. In this book we will open several directions of future research and start the mathematical description of communication models in great generality. For some specific problems we provide solutions or ideas for their solutions. The lectures presented in this work, which consists of 10 volumes, are suitable for graduate students in Mathematics, and also for those working in Theoretical Computer Science, Physics, and Electrical Engineering with a background in basic Mathematics. The lectures can be used as the basis for courses or to supplement courses in many ways. Ph.D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find questions which form the basis of entire research programs. The book also contains an afterword by Gunter Dueck.


Identification and Other Probabilistic Models Related Books

Identification and Other Probabilistic Models
Language: en
Pages: 720
Authors: Rudolf Ahlswede
Categories: Mathematics
Type: BOOK - Published: 2021-06-22 - Publisher: Springer Nature

DOWNLOAD EBOOK

The sixth volume of Rudolf Ahlswede's lectures on Information Theory is focused on Identification Theory. In contrast to Shannon's classical coding scheme for t
Probabilistic Graphical Models
Language: en
Pages: 370
Authors: Luis Enrique Sucar
Categories: Computers
Type: BOOK - Published: 2020-12-23 - Publisher: Springer Nature

DOWNLOAD EBOOK

This fully updated new edition of a uniquely accessible textbook/reference provides a general introduction to probabilistic graphical models (PGMs) from an engi
Probabilistic Graphical Models
Language: en
Pages: 1270
Authors: Daphne Koller
Categories: Computers
Type: BOOK - Published: 2009-07-31 - Publisher: MIT Press

DOWNLOAD EBOOK

A general framework for constructing and using probabilistic models of complex systems that would enable a computer to use available information for making deci
Handbook of Probabilistic Models
Language: en
Pages: 592
Authors: Pijush Samui
Categories: Computers
Type: BOOK - Published: 2019-10-05 - Publisher: Butterworth-Heinemann

DOWNLOAD EBOOK

Handbook of Probabilistic Models carefully examines the application of advanced probabilistic models in conventional engineering fields. In this comprehensive h
A Probabilistic Theory of Pattern Recognition
Language: en
Pages: 631
Authors: Luc Devroye
Categories: Mathematics
Type: BOOK - Published: 2013-11-27 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

A self-contained and coherent account of probabilistic techniques, covering: distance measures, kernel rules, nearest neighbour rules, Vapnik-Chervonenkis theor