Module:Complexity
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Complex Systems Summer School 2011 Modules |
Organized by Jim Crutchfield
Background
- T. Cover and J.Thomas, Elements of Information Theory, Wiley, Second Edition (2006) Chapters 1 - 7.
- M. Li and P.M.B.Vitanyi, An Introduction to Kolmogorov Complexity and its Applications , Springer, New York (1993).
- J. P. Crutchfield and D. P. Feldman, “Regularities Unseen, Randomness Observed: Levels of Entropy Convergence”,CHAOS 13:1 (2003) 25-54.
Lecture Notes
- Thursday
- Processes and Their Models: Complexity Lecture 1A (PDF)
- Information Theory: Complexity Lecture 1B (PDF)
- Information in Processes: Complexity Lecture 1C (PDF)
- Memory in Processes: Complexity Lecture 1D (PDF)
- Friday
- The Learning Channel: Complexity Lecture 2A (PDF)
- Causal Models: Complexity Lecture 2B (PDF)
- Measures of Complexity: Complexity Lecture 2C (PDF)
- Applications: Complexity Lecture 2D (PDF)
Ryan's talks
Readings
James P. Crutchfield: The Calculi of Emergence
Mikhail Prokopenko, Fabio Boschetti, and Alex J. Ryan: An Information-Theoretic Primer on Complexity, Self-Organisation and Emergence
Cosma Rohilla Shalizi, James P. Crutchfield: Pattern Discovery and Computational Mechanics
Ryan G. James, John R. Mahoney, Christopher J. Ellison, James P. Crutchfield: Many Roads to Synchrony: Natural Time Scales and Their Algorithms
James P. Crutchfield, Christopher J. Ellison, Ryan G. James, John R. Mahoney: Synchronization and Control in Intrinsic and Designed Computation: An Information-Theoretic Analysis of Competing Models of Stochastic Computation
John R. Mahoney, Christopher J. Ellison, James P. Crutchfield: Information Accessibility and Cryptic Processes
Christopher J. Ellison, John R. Mahoney, James P. Crutchfield: Prediction, Retrodiction, and The Amount of Information Stored in the Present
David P. Feldman, Carl S. McTague, James P. Crutchfield: The Organization of Intrinsic Computation: Complexity-Entropy Diagrams and the Diversity of Natural Information Processing
Ryan G. James, Christopher J. Ellison, James P. Crutchfield: Anatomy of a Bit: Information in a Time Series Observation
Joseph T. Lizier, Mikhail Prokopenko, and Albert Y. Zomaya: Information modification and particle collisions in distributed computation
Nicolas Brodu: Reconstruction of Epsilon-Machines in Predictive Frameworks and Decisional States
Samer A. Abdallah, Mark D. Plumbley: A measure of statistical complexity based on predictive information
Łukasz Dęowski: Excess entropy in natural language: present state and perspectives
Online Labs
Media:Complexity_Lab_1.pdf Complexity Lab 1 Media:Complexity_Lab_2.pdf Complexity Lab 2 Media:Complexity_Lab_3.pdf Complexity Lab 3 Media:Complexity_Lab_4.pdf Complexity Lab 4