Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session Y09: Stochastic Thermodynamics of Biological and Artificial Information Processing II
8:00 AM–11:00 AM,
Friday, March 18, 2022
Room: McCormick Place W-180
Sponsoring
Unit:
GSNP
Chair: David Wolpert, Santa Fe Institute
Abstract: Y09.00007 : A Bayesian mechanics for adaptive systems*
9:36 AM–9:48 AM
Presenter:
Lancelot Da Costa
(Imperial College London)
Author:
Lancelot Da Costa
(Imperial College London)
We model adaptive systems as coupled stochastic processes at non-equilibrium steady state, which describe the interaction between external, internal, sensory and active states of a particle. We unpack the consequences of this in terms of approximate Bayesian inference, in the sense that internal states can be seen as continuously inferring external states, consistently with variational inference in Bayesian statistics and theoretical neuroscience.
Beyond this, we single out an interesting sort of non-equilibrium steady-state reminiscent of biological systems, wherein the states of a particle have low entropy fluctuations. Their trajectories can be governed by a variational principle of least action over a functional relating to optimal Bayesian design and decision-making. We conclude with simulations ranging from a primordial soup to a Human arm movement, distinguishing between various sorts of non-equilibrium steady states.
*L.D. is supported by the Fonds National de la Recherche, Luxembourg (Project code: 13568875). This work is partially supported by the EPSRC Centre for Doctoral Training in Mathematics of Random Systems: Analysis, Modelling and Simulation (EP/S023925/1).
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