Measures and Probability Distributions

Suppose *x* represents the history of our universe up until now.
What is its most likely continuation
? Bayes' theorem yields

where is the probability of

(16) |

is a normalizing factor. The most likely continuation

- Dominant and Universal (Semi)Measures
- Universal Cumulatively Enumerable Measure (CEM)
- Approximable and Cumulatively Enumerable Distributions
- TM-Induced Distributions and Convergence Probability
- Universal TM-Induced Measures
- Universal CEM vs EOM with Random Input

Related links: In the beginning was the code! - Zuse's thesis - Life, the universe, and everything - Generalized Algorithmic Information - Speed Prior - The New AI