3 papers
cs.LO2024
A Categorical Treatment of Open Linear Systems
Dario Stein, Richard Samuelson
An open stochastic system à la Jan Willems is a system affected by two qualitatively different kinds of uncertainty: one is probabilistic fluctuation, and the other one is nondeter…
cs.LO2024
Graphical Quadratic Algebra
Dario Stein, Fabio Zanasi, Robin Piedeleu +1
Convex analysis and Gaussian probability are tightly connected, as mostly evident in the theory of linear regression. Our work introduces an algebraic perspective on such relations…
math.CT2024
Towards a Compositional Framework for Convex Analysis (with Applications to Probability Theory)
Dario Stein, Richard Samuelson
We introduce a compositional framework for convex analysis based on the notion of convex bifunction of Rockafellar. This framework is well-suited to graphical reasoning, and exhibi…