Transcription of Information Theory, Excess Entropy
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Information Theory, Excess Entropy
A Brief Introduction to: Information theory , Excess Entropy and Computational Mechanics April 1998. (Revised October 2002). David Feldman College of the Atlantic 105 Eden Street Bar Harbor, ME 04609. i Contents 1 Background in Information theory 1. Notation .. 1. Shannon Entropy and its Many Interpretations .. 2. Entropy as Uncertainty .. 2. Axiomatic Definition .. 3. Shannon Entropy as Thermodynamic Entropy .. 4. Shannon Entropy as Average Surprise .. 5. Entropy and Yes-No Questions .. 5. Entropy and Coding .. 7. Joint and Conditional Entropy .. 8. Mutual Information .. 9. Entropy of Continuous Variables .. 9. Continuous Entropy Discrete Entropy .. 9. Careful Definition .. 11. 2 Entropy Density and Excess Entropy 13. Entropy Density .. 13. Entropy Density and Kolmogorov-Chaitin Complexity 16. What Entropy Density Isn't .. 16. Entropy Growth and Convergence .. 17. History of Excess Entropy .
A Brief Introduction to: Information Theory, Excess Entropy and Computational Mechanics April 1998 (Revised October 2002) David Feldman College of the Atlantic
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