October 7, 2016
October 8, 2015
Kant said: there are two a priori intuitions — space and time. There are also categories, and “the number of the categories in each class is always the same, namely, three”, like unity-plurality-modality, or possibility-existence-necessity. It would be fun to have three a priori intuitions, but only two exist, sigh. Really though?
Kant probably did not realize: there is a third one — probability, to wit, certainty of our experience. Just like space, probability precedes any experience. Every object is uncertain as much as it is extended.
The three a priori intuitions are related — infinite and undirected space, infinite and directed time, finite and undirected probability. Physics knows of uncertainty principle, we are uncertain about relation of time and space: both time and space cannot be intuited with certainty. Probability is as basic and fundamental as time and space for our cognition.
Just like geometry deals with a priori intuition of space, and mathematical analysis — with intuition of time, theory of probability deals with intuition of probability. There is philosophical justification for studying uncertainty, probability, and bayesian inference.
June 10, 2015
We introduce an approximate search algorithm for fast maximum a posteriori probability estimation in probabilistic programs, which we call Bayesian ascent Monte Carlo (BaMC). (more…)
June 8, 2015
We introduce a new approach to solving path-finding problems under uncertainty by representing them as probabilistic models and applying domain-independent inference algorithms to the models. (more…)
May 6, 2015
Anglican is a probabilistic programming language, or better yet, a concept, living in symbiosis with Clojure. Anglican stands for Church of England (because we are here in Oxford). To create your Turing-complete probabilistic models, clone anglican-user and hack away. Or, look at cool examples.