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Computational Mechanics

This is a resource for Computational Mechanics theory and practice.

How To Get Started

Notation

To get things going, I propose that we start with some definition pages:

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Information Theory

Processes

Block Entropy

Entropy Rate

Excess Entropy

Edge Hidden Markov Model

Epsilon Machine

Causal States

Computational Complexity

I-Diagram

Process Library

Inference

Automaton Properties

An easy way to make a quick contribution is to write a “process page”. Pick your favorite from CMPy or make one up. Periodic Even Golden Mean …

Something that might be useful before the process pages begin is a process page template - anyone??

Building upon these, we can start to write about: Algorithms, Prediction + Retrodiction, Open Questions..

<As a general comment, I propose that the style of this be as much about questions as about answers. Often, especially with mathematics and models, one equation can start to look just like another. As much as all of this theory is interesting in its own right, it is all ultimately motivated by something - let's try to be explicit about what questions we are trying to answer with these entries, rather than providing copious amounts of static information. - john>

Is LaTeX working yet? <latex>

  \frac{3}{4 \pi}   \sqrt{4 \cdot x^2   12}\\
  \lim_{n \to \infty}
  \sum_{k=1}^n \frac{1}{k^2} = \frac{\pi^2}{6}\\
  \it{f}(x) = \frac{1}{\sqrt{x} x^2}\\
  e^{i \pi} + 1 = 0}\;

</latex>

cm/home.txt · Last modified: 2010/03/27 11:25 by ellisocj