3 papers
math.PR2026
A Fresh Look at Bivariate Binomial Distributions
Bart Jacobs
Binomial distributions capture the probabilities of `heads' outcomes when a (biased) coin is tossed multiple times. The coin may be identified with a distribution on the two-elemen…
cs.LO2026
Compositional Inference for Bayesian Networks and Causality
Bart Jacobs, Márk Széles, Dario Stein
Inference is a fundamental reasoning technique in probability theory. When applied to a large joint distribution, it involves updating with evidence (conditioning) in one or more c…
math.PR2025
Discrete Boltzmann distributions via multisets and their coefficients
Bart Jacobs
This paper investigates the combinatorics that gives rise to the Boltzmann probability distribution. Despite being one of the most important distributions in physics and other fiel…