3 results
Vineet Gupta ; Radha Jagadeesan ; Prakash Panangaden.
We develop a pseudo-metric analogue of bisimulation for generalized semi-Markov processes. The kernel of this pseudo-metric corresponds to bisimulation; thus we have extended bisimulation for continuous-time probabilistic processes to a much broader class of distributions than exponential […]
Published on March 7, 2006
Radu Mardare ; Prakash Panangaden ; Gordon D. Plotkin.
We present an algebraic account of the Wasserstein distances $W_p$ on complete metric spaces, for $p \geq 1$. This is part of a program of a quantitative algebraic theory of effects in programming languages. In particular, we give axioms, parametric in $p$, for algebras over metric spaces equipped […]
Published on September 14, 2018
Nicolas Gagne ; Prakash Panangaden.
We give a categorical treatment, in the spirit of Baez and Fritz, of relative entropy for probability distributions defined on standard Borel spaces. We define a category suitable for reasoning about statistical inference on standard Borel spaces. We define relative entropy as a functor into […]
Published on November 9, 2023