Information Theory, Inference and Learning Algorithms

Forsideomslag
Cambridge University Press, 25. sep. 2003 - 628 sider
Information theory and inference, often taught separately, are here united in one entertaining textbook. These topics lie at the heart of many exciting areas of contemporary science and engineering - communication, signal processing, data mining, machine learning, pattern recognition, computational neuroscience, bioinformatics, and cryptography. This textbook introduces theory in tandem with applications. Information theory is taught alongside practical communication systems, such as arithmetic coding for data compression and sparse-graph codes for error-correction. A toolbox of inference techniques, including message-passing algorithms, Monte Carlo methods, and variational approximations, are developed alongside applications of these tools to clustering, convolutional codes, independent component analysis, and neural networks. The final part of the book describes the state of the art in error-correcting codes, including low-density parity-check codes, turbo codes, and digital fountain codes -- the twenty-first century standards for satellite communications, disk drives, and data broadcast. Richly illustrated, filled with worked examples and over 400 exercises, some with detailed solutions, David MacKay's groundbreaking book is ideal for self-learning and for undergraduate or graduate courses. Interludes on crosswords, evolution, and sex provide entertainment along the way. In sum, this is a textbook on information, communication, and coding for a new generation of students, and an unparalleled entry point into these subjects for professionals in areas as diverse as computational biology, financial engineering, and machine learning.
 

Indhold

Introduction to Information Theory
3
Probability Entropy and Inference
22
ful theoretical ideas of Shannon but also practical solutions to communica
34
More about Inference
48
Data Compression
65
The Source Coding Theorem
67
23
78
Symbol Codes
91
Further Topics in Information Theory
371
Efficient Monte Carlo Methods
387
9
390
Ising Models
399
Ising Models
400
10
401
34
409
Exact Monte Carlo Sampling
413

Stream Codes
110
Codes for Integers
132
NoisyChannel Coding
137
Dependent Random Variables
138
Communication over a Noisy Channel
146
2
156
The NoisyChannel Coding Theorem
162
ErrorCorrecting Codes and Real Channels
177
Further Topics in Information Theory
191
Codes for Efficient Information Retrieval
193
Binary Codes
206
Very Good Linear Codes Exist
229
Further Exercises on Information Theory
233
Message Passing
241
Communication over Constrained Noiseless Channels
248
Crosswords and Codebreaking
260
Why have Sex? Information Acquisition and Evolution
269
Probabilities and Inference
281
20
282
Clustering
284
3
285
Exact Inference by Complete Enumeration
293
Maximum Likelihood and Clustering
300
Useful Probability Distributions
311
Exact Marginalization
319
5
321
Exact Marginalization in Trellises
324
6
328
Exact Marginalization in Graphs
334
7
340
Laplaces Method
341
NoisyChannel Coding
342
Model Comparison and Occams Razor
343
NoisyChannel Coding
356
Monte Carlo Methods
357
8
358
9
365
Variational Methods
422
Further Topics in Information Theory
429
12
435
Independent Component Analysis and Latent Variable Mod elling
437
II
438
Random Inference Topics
445
Decision Theory
451
Bayesian Inference and Sampling Theory
457
Neural networks
467
Introduction to Neural Networks
468
The Single Neuron as a Classifier
471
17
473
15
475
Capacity of a Single Neuron
483
Learning as Inference
492
19
494
Hopfield Networks
505
Boltzmann Machines
522
Supervised Learning in Multilayer Networks
527
45
534
Gaussian Processes
535
Deconvolution
549
Sparse Graph Codes
555
LowDensity ParityCheck Codes
557
Convolutional Codes and Turbo Codes
574
Convolutional Codes and Turbo Codes
578
RepeatAccumulate Codes
582
50
584
Digital Fountain Codes
589
Appendices
597
A Notation
598
B Some Physics
601
Some Mathematics
605
Bibliography
613
Index
620
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