From the 2 of 10 linked papers with an AI index.
10 papers
Thermalizing Stochastic Programs
Mirko Amico, Andraž Jelinčič, Andraž JelinÄiÄ +7
We present a set of tools for mapping general stochastic programs to thermodynamic hardware designed for energy-efficient stochastic sampling. Given a target stochastic program exp…
On two differing geometric descriptions of the passage from microscopy to macroscopy in Markov diffusion theory
Dalton A R Sakthivadivel
The paper builds a geometric framework that connects two different ways of passing from microscopic particle dynamics to macroscopic diffusion equations, by studying smooth probabi…
The nonequilibrium statistical mechanics of Markov interacting particles
Dalton A R Sakthivadivel
The paper studies when the conditional law of histories in coupled stochastic systems factorises, linking this to path‑space log‑likelihoods via Girsanov’s theorem and measuring an…
Topological constraints on self-organisation in locally interacting systems
Francesco Sacco, Dalton A R Sakthivadivel, Michael Levin
All intelligence is collective intelligence, in the sense that it is made of parts which must align with respect to system-level goals. Understanding the dynamics which facilitate…
A framework for the use of generative modelling in non-equilibrium statistical mechanics
Karl J Friston, Maxwell J D Ramstead, Dalton A R Sakthivadivel
We discuss an approach to mathematically modelling systems made of objects that are coupled together, using generative models of the dependence relationships between states (or tra…
Completions of complexes of differential modules on singular schemes
Bruno BoriÄ, Dalton A R Sakthivadivel
Spencer cohomology theory studies the cohomology of chain complexes of modules over the ring of differential operators of a smooth analytic space. In this paper we gi…