Information Theory, Inference and Learning Algorithms

ISBN-10: 0521642981

ISBN-13: 9780521642989

Edition: 2003

Authors: David J. C. MacKay

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Description:

Information theory, probability, coding and computation lie at the heart of some of the most dynamic areas of contemporary science and engineering. This text introduces mathematical technology in tandem with applications, providing motivation and hands-on guidance for problem-solving and modelling.
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Book details

List price: $94.99
Copyright year: 2003
Publisher: Cambridge University Press
Publication date: 9/25/2003
Binding: Hardcover
Pages: 640
Size: 1.75" wide x 10.00" long x 1.25" tall
Weight: 3.388
Language: English

Introduction to information theory
Probability, entropy and inference
More about inference
Data Compression
The source coding theorem
Symbol codes
Stream codes
Codes for integers
Noisy-Channel Coding
Dependent random variables
Communication over a noisy channel
The noisy-channel coding theorem
Error-correcting codes and real channels
Further Topics in Information Theory
Hash codes
Binary codes
Very good linear codes exist
Further exercises on information theory
Message passing
Constrained noiseless channels
Crosswords and codebreaking
Why have sex? Information acquisition and evolution
Probabilities and Inference
An example inference task: clustering
Exact inference by complete enumeration
Maximum likelihood and clustering
Useful probability distributions
Exact marginalization
Exact marginalization in trellises
Exact marginalization in graphs
Laplace's method
Model comparison and Occam's razor
Monte Carlo methods
Efficient Monte Carlo methods
Ising models
Exact Monte Carlo sampling
Variational methods
Independent component analysis
Random inference topics
Decision theory
Bayesian inference and sampling theory
Neural Networks
Introduction to neural networks
The single neuron as a classifier
Capacity of a single neuron
Learning as inference
Hopfield networks
Boltzmann machines
Supervised learning in multilayer networks
Gaussian processes
Deconvolution
Sparse Graph Codes
Low-density parity-check codes
Convolutional codes and turbo codes
Repeat-accumulate codes
Digital fountain codes
Notation
Some physics
Some mathematics
Bibliography
Index
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