119 citations · 338 across the 22 of their papers we have counts for
11 papers · 1 filter
Functorial Statistical Physics: Feynman--Kac Formulae and Information Geometries
Dalton A R Sakthivadivel
The main results of this paper comprise proofs of the following two related facts: (i) the Feynman--Kac formula is a functor , namely, between a stochastic differential equati…
Designing Ecosystems of Intelligence from First Principles
Karl J Friston, Maxwell J D Ramstead, Alex B Kiefer +17
This white paper lays out a vision of research and development in the field of artificial intelligence for the next decade (and beyond). Its denouement is a cyber-physical ecosyste…
Path integrals, particular kinds, and strange things
Karl Friston, Lancelot Da Costa, Dalton A. R. Sakthivadivel +4
This paper describes a path integral formulation of the free energy principle. The ensuing account expresses the paths or trajectories that a particle takes as it evolves over time…
Weak Markov Blankets in High-Dimensional, Sparsely-Coupled Random Dynamical Systems
Dalton A R Sakthivadivel
This paper formulates a notion of high-dimensional random dynamical systems that couple to another system, like an embedding environment, in such a way that each system engages in…
On the map-territory fallacy fallacy
Maxwell J D Ramstead, Dalton A R Sakthivadivel, Karl J Friston
This paper presents a meta-theory of the usage of the free energy principle (FEP) and examines its scope in the modelling of physical systems. We consider the so-called `map-territ…
A Worked Example of the Bayesian Mechanics of Classical Objects
Dalton A R Sakthivadivel
Bayesian mechanics is a new approach to studying the mathematics and physics of interacting stochastic processes. Here, we provide a worked example of a physical mechanics for clas…
Regarding Flows Under the Free Energy Principle: A Comment on "How Particular is the Physics of the Free Energy Principle?" by Aguilera, Millidge, Tschantz, and Buckley
Dalton A R Sakthivadivel
In a recent technical critique of the free energy principle (FEP) due to Aguilera-Millidge-Tschantz-Buckley, it is argued that there are a number of instances where the FEP$\unicod…
On Bayesian Mechanics: A Physics of and by Beliefs
Maxwell J. D. Ramstead, Dalton A. R. Sakthivadivel, Conor Heins +5
The aim of this paper is to introduce a field of study that has emerged over the last decade called Bayesian mechanics. Bayesian mechanics is a probabilistic mechanics, comprising…
Some Minimal Notes on Notation and Minima: A Comment on "How Particular is the Physics of the Free Energy Principle?" by Aguilera, Millidge, Tschantz, and Buckley
Maxwell J D Ramstead, Dalton A R Sakthivadivel
We comment on a technical critique of the free energy principle in linear systems by Aguilera, Millidge, Tschantz, and Buckley, entitled "How Particular is the Physics of the Free…
Towards a Geometry and Analysis for Bayesian Mechanics
Dalton A R Sakthivadivel
In this paper, a simple case of Bayesian mechanics under the free energy principle is formulated in axiomatic terms. We argue that any dynamical system with constraints on its dyna…
Entropy-Maximising Diffusions Satisfy a Parallel Transport Law
Dalton A R Sakthivadivel
We show that the principle of maximum entropy, a variational method appearing in statistical inference, statistical physics, and the analysis of stochastic dynamical systems, admit…