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Information Theory, Inference, and Learning ... - Inference Group

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Copyright Cambridge University Press 2003. On-screen viewing permitted. Printing not permitted. http://www.cambridge.org/0521642981You can buy this book for 30 pounds or $50. See http://www.inference.phy.cam.ac.uk/mackay/itila/ for links.viiiPreface1 Introduction to <strong>Information</strong> <strong>Theory</strong>2 Probability, Entropy, <strong>and</strong> <strong>Inference</strong>3 More about <strong>Inference</strong>I Data Compression4 The Source Coding Theorem5 Symbol Codes6 Stream Codes7 Codes for IntegersII Noisy-Channel Coding8 Dependent R<strong>and</strong>om Variables9 Communication over a Noisy Channel10 The Noisy-Channel Coding Theorem11 Error-Correcting Codes <strong>and</strong> Real ChannelsIII Further Topics in <strong>Information</strong> <strong>Theory</strong>12 Hash Codes13 Binary Codes14 Very Good Linear Codes Exist15 Further Exercises on <strong>Information</strong> <strong>Theory</strong>16 Message Passing17 Constrained Noiseless Channels18 Crosswords <strong>and</strong> Codebreaking19 Why have Sex?IV Probabilities <strong>and</strong> <strong>Inference</strong>20 An Example <strong>Inference</strong> Task: Clustering21 Exact <strong>Inference</strong> by Complete Enumeration22 Maximum Likelihood <strong>and</strong> Clustering23 Useful Probability Distributions24 Exact Marginalization25 Exact Marginalization in Trellises26 Exact Marginalization in Graphs27 Laplace’s Method28 Model Comparison <strong>and</strong> Occam’s Razor29 Monte Carlo Methods30 Efficient Monte Carlo Methods31 Ising Models32 Exact Monte Carlo Sampling33 Variational Methods34 Independent Component Analysis35 R<strong>and</strong>om <strong>Inference</strong> Topics36 Decision <strong>Theory</strong>37 Bayesian <strong>Inference</strong> <strong>and</strong> Sampling <strong>Theory</strong>V Neural networks38 Introduction to Neural Networks39 The Single Neuron as a Classifier40 Capacity of a Single Neuron41 <strong>Learning</strong> as <strong>Inference</strong>42 Hopfield Networks43 Boltzmann Machines44 Supervised <strong>Learning</strong> in Multilayer Networks45 Gaussian Processes46 DeconvolutionVISparse Graph CodesShort Course on<strong>Information</strong> <strong>Theory</strong>47 Low-Density Parity-Check Codes48 Convolutional Codes <strong>and</strong> Turbo Codes49 Repeat–Accumulate Codes50 Digital Fountain Codes

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