Can the Brain Build Probability Distributions?

Build your own probability monads

Probability is often counter-intuitive, and it always involves a great deal of math. This is unfortunate, because many applications in robotics and AI increasingly rely on probability theory. We introduce a modular toolkit for constructing probability monads, and show that it can be used for everything from discrete distributions to weighted particle filtering. This modular approach allows us t...

We Can Build the Future

Probability and Sampling Distributions

When an experiment is conducted, such as tossing coins, rolling a die, sampling for estimating the proportion of defective units, several outcomes or events occur with certain probabilities. These events or outcomes may be regarded as a variable which takes different values and each value is associated with a probability. The values of this variable depends on chance or probability. Such a vari...

Constructing Random Probability Distributions

Abstrac: This article surveys several classes of iterative methods for constructing random probability distributions (or random convex functions, or random home­ omorphisms), and includes illustrative applications in statistics, optimal-control theory, and game theory. Computer simulations of these methods are fast and easy to implement.

Learning Probability Distributions

Learning Probability Distributions