Search Results for author: Toby St Clere Smithe

Found 5 papers, 0 papers with code

Active Inference in String Diagrams: A Categorical Account of Predictive Processing and Free Energy

no code implementations1 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.

The Compositional Structure of Bayesian Inference

no code implementations10 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.

Bayesian Inference

Mathematical Foundations for a Compositional Account of the Bayesian Brain

no code implementations23 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.

Cyber Kittens, or Some First Steps Towards Categorical Cybernetics

no code implementations26 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.

BIG-bench Machine Learning

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