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This is a graduate-level introduction to mathematics of information theory.
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Description
We will cover both classical and modern topics, including information entropy, lossless data compression, binary hypothesis testing, channel coding, and lossy data compression.
Course content
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- Chapter 1: Information measures: Entropy and divergence Unlimited
- Chapter 2: Information measures: Mutual information Unlimited
- Chapter 3: Sufficient statistic. Continuity of divergence and mutual information. Unlimited
- Chapter 4: Extremization of mutual information: Capacity saddle point Unlimited
- Chapter 5: Single-letterization. Probability of error. Entropy rate. Unlimited
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- Chapter 6: Variable-length Lossless Compression Unlimited
- Chapter 7: Fixed-length (almost lossless) compression. Slepian-Wolf problem Unlimited
- Chapter 8: Compressing stationary ergodic sources Unlimited
- Chapter 9: Universal compression Unlimited
- Chapter 10: Binary hypothesis testing Unlimited
- Chapter 11: Hypothesis testing asymptotics I Unlimited
- Chapter 12: Information projection and Large deviation Unlimited
- Chapter 13: Hypothesis testing asymptotics II Unlimited
- Chapter 23: Rate-distortion theory Unlimited
- Chapter 24: Rate distortion: Achievability bounds Unlimited
- Chapter 25: Evaluating R(D). Lossy Source-Channel separation. Unlimited
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Instructor
Massachusetts Institute of Technology
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