no code implementations • 1 Aug 2023 • Sean Tull, Johannes Kleiner, Toby St Clere Smithe
We present a categorical formulation of the cognitive frameworks of Predictive Processing and Active Inference, expressed in terms of string diagrams interpreted in a monoidal category with copying and discarding.
no code implementations • 10 May 2023 • Dylan Braithwaite, Jules Hedges, Toby St Clere Smithe
Bayes' rule tells us how to invert a causal process in order to update our beliefs in light of new evidence.
no code implementations • 23 Dec 2022 • Toby St Clere Smithe
We use these opindexed categories to define monoidal bicategories of cilia: dynamical systems which control lenses, and which supply the target for our functorial semantics.
no code implementations • 2 Dec 2022 • Karl J Friston, Maxwell J D Ramstead, Alex B Kiefer, Alexander Tschantz, Christopher L Buckley, Mahault Albarracin, Riddhi J Pitliya, Conor Heins, Brennan Klein, Beren Millidge, Dalton A R Sakthivadivel, Toby St Clere Smithe, Magnus Koudahl, Safae Essafi Tremblay, Capm Petersen, Kaiser Fung, Jason G Fox, Steven Swanson, Dan Mapes, Gabriel René
In this context, we understand intelligence as the capacity to accumulate evidence for a generative model of one's sensed world -- also known as self-evidencing.
no code implementations • 26 Jan 2021 • Toby St Clere Smithe
We define a categorical notion of cybernetic system as a dynamical realisation of a generalized open game, along with a coherence condition.