Lectures related to Source Coding: Compression

Compression: Prefix-Free Codes

Explains prefix-free codes for efficient data compression and the significance of uniquely decodable codes.

Compression: Kraft Inequality

Explains compression and Kraft inequality in codes and sequences.

Entropy and Algorithms: Applications in Sorting and Weighing

Covers the application of entropy in algorithms, focusing on sorting and decision-making strategies.

Conditional Entropy and Data Compression Techniques

Discusses conditional entropy and its role in data compression techniques.

Stochastic Processes: Sequences and Compression

Explores compression in stochastic processes through injective codes and prefix-free codes.

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.

Source Coding Theorem

Explores the Source Coding Theorem, entropy, Huffman coding, and conditioning's impact on entropy reduction.

Data Compression and Shannon's Theorem: Entropy Calculation Example

Demonstrates the calculation of entropy for a specific example, resulting in an entropy value of 2.69.

Data Compression and Shannon-Fano Algorithm

Explores the Shannon-Fano algorithm for data compression and its efficiency in creating unique binary codes for letters.

Data Compression and Shannon's Theorem Summary

Summarizes Shannon's theorem, emphasizing the importance of entropy in data compression.

Kraft-McMillan Theorem

Explores the Kraft-McMillan theorem, proving the existence of uniquely decodable prefix-free codes.

Source Coding Theorems: Entropy and Source Models

Covers source coding theorems, entropy, and various source models in information theory.

Shannon's Theorem

Introduces Shannon's Theorem on binary codes, entropy, and data compression limits.

Compression: Strong Connection and Prefix-Free Codes

Explores the relationship between code word length and probability distribution, focusing on designing prefix-free codes for efficient compression.

Compression: Prefix-free Codes

Explains how to design efficient prefix-free codes for compression.

Information Theory: Source Coding, Cryptography, Channel Coding

Covers source coding, cryptography, and channel coding in communication systems, exploring entropy, codes, error channels, and future related courses.

Conditional Entropy: Huffman Coding

Explores conditional entropy and Huffman coding for efficient data compression techniques.

Compression: Prediction

Covers the concepts of compression and prediction using prefix-free codes and distributions.

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.

Compression

Covers the concept of compression and constructing prefix-free codes based on given information.