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Lecture
Data Compression and Shannon's Theorem: Huffman Codes
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Data Compression: Entropy Definition
Explores data compression through entropy definition, types, and practical examples, illustrating its role in efficient information storage and transmission.
Data Compression and Shannon's Theorem: Recap
Explores entropy, compression algorithms, and optimal coding methods for data compression.
Data Compression and Entropy: Basics and Introduction
Introduces data compression, entropy, and the importance of reducing redundancy in data.
Data Compression and Shannon's Theorem: Shannon-Fano Coding
Explores Shannon-Fano coding for efficient data compression and its comparison to Huffman coding.
Entropy and Algorithms: Applications in Sorting and Weighing
Covers the application of entropy in algorithms, focusing on sorting and decision-making strategies.
Lossless Compression: Shannon-Fano and Huffman
Explores lossless compression using Shannon-Fano and Huffman algorithms, showcasing Huffman's superior efficiency and speed over Shannon-Fano.
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.
JPEG 2000: Image Compression
Explores image compression principles, focusing on JPEG 2000, covering transform-based coding, quantization, entropy coding, region of interest, error resilience, and software implementations.
Compression: Kraft Inequality
Explains compression and Kraft inequality in codes and sequences.
Huffman Coding
Explores Huffman coding by comparing it to organizing a kitchen for efficiency.