Information Theory, Inference, and Learning Algorithms
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电子书Information Theory Inference and Learning Algorithms
Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v 1 Introduction to Information Theory . . . . . . . . . . . . . 3 2 Probability, Entropy, and Inference . . . . . . . . . . . . . . 22 3 More about Inference . . . . . . . . . . . . . . . . . . . . . 48 I Data Compression . . . . . . . . . . . . . . . . . . . . . . 65 4 The Source Coding Theorem . . . . . . . . . . . . . . . . . 67 5 Symbol Codes . . . . . . . . . . . . . . . . . . . . . . . . . 91 6 Stream Codes . . . . . . . . . . . . . . . . . . . . . . . . . . 110 7 Codes for Integers . . . . . . . . . . . . . . . . . . . . . . . 132 II Noisy-Channel Coding . . . . . . . . . . . . . . . . . . . . 137 8 Dependent Random Variables . . . . . . . . . . . . . . . . . 138 9 Communication over a Noisy Channel . . . . . . . . . . . . 146 10 The Noisy-Channel Coding Theorem . . . . . . . . . . . . . 162 11 Error-Correcting Codes and Real Channels . . . . . . . . . 177 III Further Topics in Information Theory . . . . . . . . . . . . . 191 12 Hash Codes: Codes for Ecient Information Retrieval . . 193 13 Binary Codes . . . . . . . . . . . . . . . . . . . . . . . . . 206 14 Very Good Linear Codes Exist . . . . . . . . . . . . . . . . 229 15 Further Exercises on Information Theory . . . . . . . . . . 233 16 Message Passing . . . . . . . . . . . . . . . . . . . . . . . . 241 17 Communication over Constrained Noiseless Channels . . . 248 18 Crosswords and Codebreaking . . . . . . . . . . . . . . . . 260 19 Why have Sex? Information Acquisition and Evolution . . 269 IV Probabilities and Inference . . . . . . . . . . . . . . . . . . 281 20 An Example Inference Task: Clustering . . . . . . . . . . . 284 21 Exact Inference by Complete Enumeration . . . . . . . . . 293 22 Maximum Likelihood and Clustering . . . . . . . . . . . . . 300 23 Useful Probability Distributions . . . . . . . . . . . . . . . 311 24 Exact Marginalization . . . . . . . . . . . . . . . . . . . . . 319 25 Exact Marginalization in Trellises . . . . . . . . . . . . . . 324 26 Exact Marginalization in Graphs . . . . . . . . . . . . . . . 334 27 Laplace's Method . . . . . . . . . . . . . . . . . . . . . . . 341 28 Model Comparison and Occam's Razor . . . . . . . . . . . 343 29 Monte Carlo Methods . . . . . . . . . . . . . . . . . . . . . 357 30 Ecient Monte Carlo Methods . . . . . . . . . . . . . . . . 387 31 Ising Models . . . . . . . . . . . . . . . . . . . . . . . . . . 400 32 Exact Monte Carlo Sampling . . . . . . . . . . . . . . . . . 413 33 Variational Methods . . . . . . . . . . . . . . . . . . . . . . 422 34 Independent Component Analysis and Latent Variable Modelling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 437 35 Random Inference Topics . . . . . . . . . . . . . . . . . . . 445 36 Decision Theory . . . . . . . . . . . . . . . . . . . . . . . . 451 37 Bayesian Inference and Sampling Theory . . . . . . . . . . 457 V Neural networks . . . . . . . . . . . . . . . . . . . . . . . . 467 38 Introduction to Neural Networks . . . . . . . . . . . . . . . 468 39 The Single Neuron as a Classier . . . . . . . . . . . . . . . 471 40 Capacity of a Single Neuron . . . . . . . . . . . . . . . . . . 483 41 Learning as Inference . . . . . . . . . . . . . . . . . . . . . 492 42 Hopeld Networks . . . . . . . . . . . . . . . . . . . . . . . 505 43 Boltzmann Machines . . . . . . . . . . . . . . . . . . . . . . 522 44 Supervised Learning in Multilayer Networks . . . . . . . . . 527 45 Gaussian Processes . . . . . . . . . . . . . . . . . . . . . . 535 46 Deconvolution . . . . . . . . . . . . . . . . . . . . . . . . . 549 VI Sparse Graph Codes . . . . . . . . . . . . . . . . . . . . . 555 47 Low-Density Parity-Check Codes . . . . . . . . . . . . . . 557 48 Convolutional Codes and Turbo Codes . . . . . . . . . . . . 574 49 Repeat{Accumulate Codes . . . . . . . . . . . . . . . . . . 582 50 Digital Fountain Codes . . . . . . . . . . . . . . . . . . . . 589 VII Appendices . . . . . . . . . . . . . . . . . . . . . . . . . . 597 A Notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 598 B Some Physics . . . . . . . . . . . . . . . . . . . . . . . . . . 601 C Some Mathematics . . . . . . . . . . . . . . . . . . . . . . . 605 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 613 Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 620
Information Theory, Inference, and Learning Algorithms David J.C. MacKay
信息论,推断与学习理论 英文原版 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
Information Theory, Inference, and Learning Algorithms 2015 v7.2版
Information theory and inference, taught together in this exciting textbook, lie at the heart of many important areas of modern technology - communication, signal processing, data mining, machine learning, pattern recognition, computational neuroscience, bioinformatics and cryptography. The book 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. Inference techniques, including message-passing algorithms, Monte Carlo methods and variational approximations, are developed alongside applications to clustering, convolutional codes, independent component analysis, and neural networks. Uniquely, the book covers state-of-the-art 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, the book is ideal for self-learning, and for undergraduate or graduate courses. It also provides an unparalleled entry point for professionals in areas as diverse as computational biology, financial engineering and machine learning.
Information Theory Inference And Learning Algorithms
Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v 1 Introduction to Information Theory . . . . . . . . . . . . . . . . 3 2 Probability, Entropy, and Inference . . . . . . . . . . . . . . . . . 22 3 More about Inference . . . . . . . . . . . . . . . . . . . . . . . . 48 I Data Compression . . . . . . . . . . . . . . . . . . . . . . . . 65 4 The Source Coding Theorem . . . . . . . . . . . . . . . . . . . . 67 5 Symbol Codes . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 6 Stream Codes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110 7 Codes for Integers . . . . . . . . . . . . . . . . . . . . . . . . . . 132 II Noisy-Channel Coding . . . . . . . . . . . . . . . . . . . . . . 137 8 Correlated Random Variables . . . . . . . . . . . . . . . . . . . . 138 9 Communication over a Noisy Channel . . . . . . . . . . . . . . . 146 10 The Noisy-Channel Coding Theorem . . . . . . . . . . . . . . . . 162 11 Error-Correcting Codes and Real Channels . . . . . . . . . . . . 177 III Further Topics in Information Theory . . . . . . . . . . . . . 191 12 Hash Codes: Codes for E?cient Information Retrieval . . . . . 193 13 Binary Codes . . . . . . . . . . . . . . . . . . . . . . . . . . . . 206 14 Very Good Linear Codes Exist . . . . . . . . . . . . . . . . . . . 229 15 Further Exercises on Information Theory . . . . . . . . . . . . . 233 16 Message Passing . . . . . . . . . . . . . . . . . . . . . . . . . . . 241 17 Communication over Constrained Noiseless Channels . . . . . . 248 18 Crosswords and Codebreaking . . . . . . . . . . . . . . . . . . . 260 19 Why have Sex? Information Acquisition and Evolution . . . . . 269 IV Probabilities and Inference . . . . . . . . . . . . . . . . . . . 281 20 An Example Inference Task: Clustering . . . . . . . . . . . . . . 284 21 Exact Inference by Complete Enumeration . . . . . . . . . . . . 293 22 Maximum Likelihood and Clustering . . . . . . . . . . . . . . . . 300 23 Useful Probability Distributions . . . . . . . . . . . . . . . . . . 311 24 Exact Marginalization . . . . . . . . . . . . . . . . . . . . . . . . 319 25 Exact Marginalization in Trellises . . . . . . . . . . . . . . . . . 324 26 Exact Marginalization in Graphs . . . . . . . . . . . . . . . . . . 334 Copyright Cambridge University Press 2003. On-screen viewing permitted. Printing not permitted. http://www.cambridge.org/0521642981 You can buy this book for 30 pounds or $50. See http://www.inference.phy.cam.ac.uk/mackay/itila/ for links. 27 Laplace’s Method . . . . . . . . . . . . . . . . . . . . . . . . . . . 341 28 Model Comparison and Occam’s Razor . . . . . . . . . . . . . . 343 29 Monte Carlo Methods . . . . . . . . . . . . . . . . . . . . . . . . 357 30 E?cient Monte Carlo Methods . . . . . . . . . . . . . . . . . . . 387 31 Ising Models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 400 32 Exact Monte Carlo Sampling . . . . . . . . . . . . . . . . . . . . 413 33 Variational Methods . . . . . . . . . . . . . . . . . . . . . . . . . 422 34 Independent Component Analysis and Latent Variable Mod- elling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 437 35 Random Inference Topics . . . . . . . . . . . . . . . . . . . . . . 445 36 Decision Theory . . . . . . . . . . . . . . . . . . . . . . . . . . . 451 37 Bayesian Inference and Sampling Theory . . . . . . . . . . . . . 457 V Neural networks . . . . . . . . . . . . . . . . . . . . . . . . . 467 38 Introduction to Neural Networks . . . . . . . . . . . . . . . . . . 468 39 The Single Neuron as a Classifier . . . . . . . . . . . . . . . . . . 471 40 Capacity of a Single Neuron . . . . . . . . . . . . . . . . . . . . . 483 41 Learning as Inference . . . . . . . . . . . . . . . . . . . . . . . . 492 42 Hopfield Networks . . . . . . . . . . . . . . . . . . . . . . . . . . 505 43 Boltzmann Machines . . . . . . . . . . . . . . . . . . . . . . . . . 522 44 Supervised Learning in Multilayer Networks . . . . . . . . . . . . 527 45 Gaussian Processes . . . . . . . . . . . . . . . . . . . . . . . . . 535 46 Deconvolution . . . . . . . . . . . . . . . . . . . . . . . . . . . . 549 VI Sparse Graph Codes . . . . . . . . . . . . . . . . . . . . . . 555 47 Low-Density Parity-Check Codes . . . . . . . . . . . . . . . . . 557 48 Convolutional Codes and Turbo Codes . . . . . . . . . . . . . . . 574 49 Repeat–Accumulate Codes . . . . . . . . . . . . . . . . . . . . . 582 50 Digital Fountain Codes . . . . . . . . . . . . . . . . . . . . . . . 589 VII Appendices . . . . . . . . . . . . . . . . . . . . . . . . . . . . 597 A Notation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 598 B Some Physics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 601 C Some Mathematics . . . . . . . . . . . . . . . . . . . . . . . . . . 605 Bibliography . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 613 Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 620
Information.Theory.Inference.and.Learning.Algorithms.pdf
Information.Theory.Inference.and.Learning.Algorithms.pdf
Information Theory, Inference, and Learning Algorithms高清pdf
Information Theory, Inference, and Learning Algorithms高清pdf,Information Theory, Inference, and Learning Algorithms高清pdf,
information Theory, Inference, and Learning Algorithms
information Theory, Inference, and Learning Algorithms
Information Theory - Inference and Learning Algorithms, David MacKay
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