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Lecture
Entropy and Compression I
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Entropy: Examples and Properties
Explores examples of guessing letters, origins of entropy, and properties in information theory.
Data Compression and Entropy: Basics and Introduction
Introduces data compression, entropy, and the importance of reducing redundancy in data.
Data Compression and Entropy: Conclusion
Covers the definition of entropy, Shannon–Fano algorithm, and upcoming topics.
Data Compression and Entropy 2: Entropy as 'Question Game'
Explores entropy as a 'question game' to guess letters efficiently and its relation to data compression.
Data Compression: Shannon-Fano Algorithm
Explores the Shannon-Fano algorithm for efficient data compression and its applications in lossless and lossy compression techniques.
Data Compression and Shannon's Theorem: Lossy Compression
Explores data compression, including lossless methods and the necessity of lossy compression for real numbers and signals.
Source Coding Theorems: Entropy and Source Models
Covers source coding theorems, entropy, and various source models in information theory.
Data Compression and Shannon's Theorem Summary
Summarizes Shannon's theorem, emphasizing the importance of entropy in data compression.
Source Coding Theorem
Explores the Source Coding Theorem, entropy, Huffman coding, and conditioning's impact on entropy reduction.
Random Variables and Information Theory Concepts
Introduces random variables and their significance in information theory, covering concepts like expected value and Shannon's entropy.