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Information Measures
Covers information measures like entropy and Kullback-Leibler divergence.
Entropy Bounds: Conditional Entropy Theorems
Explores entropy bounds, conditional entropy theorems, and the chain rule for entropies, illustrating their application through examples.
Entropy and Data Compression: Huffman Coding Techniques
Discusses entropy, data compression, and Huffman coding techniques, emphasizing their applications in optimizing codeword lengths and understanding conditional entropy.
Gibbs Entropy and Information Theory
Explores Gibbs's entropy, information theory, and the information content of events in non-equiprobable scenarios.
Chain Rule for Entropy
Explores the chain rule for entropy, decomposing uncertainty in random variables and illustrating its application with examples.
Conditional Entropy: Huffman Coding
Explores conditional entropy and Huffman coding for efficient data compression techniques.
Random-Subcube Model
Introduces the Random-Subcube Model (RSM) for constraint satisfaction problems, exploring its structure, phase transitions, and variable freezing.
Quantum Entropy: Markov Chains and Bell States
Explores quantum entropy in Markov chains and Bell states, emphasizing entanglement.
Quantum Information: Density Matrices
Explores density matrices, quantum states representation, and entropy in quantum information.
Source Coding Theorem
Explores the Source Coding Theorem, entropy, Huffman coding, and conditioning's impact on entropy reduction.