42 citations · 61 across the 8 of their papers we have counts for
8 papers
AutoBayes: A Compositional Framework for Generalized Variational Inference
Toby St Clere Smithe, Marco Perin
We introduce a new compositional framework for generalized variational inference, clarifying the different parts of a model, how they interact, and how they compose. We explain tha…
On the Functoriality of Belief Propagation Algorithms on finite Partially Ordered Sets
Grégoire Sergeant-Perthuis, Toby St Clere Smithe, Léo Boitel
Undirected graphical models are a widely used class of probabilistic models in machine learning that capture prior knowledge or putative pairwise interactions between variables. Th…
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…
Polynomial Life: the Structure of Adaptive Systems
Toby St Clere Smithe
We extend our earlier work on the compositional structure of cybernetic systems in order to account for the embodiment of such systems. All their interactions proceed through their…
Some Notions of (Open) Dynamical System on Polynomial Interfaces
Toby St. Clere Smithe
We define indexed categories of (open) dynamical system and random dynamical system over polynomial interfaces, where time is given by an arbitrary monoid . We consider…
Cyber Kittens, or Some First Steps Towards Categorical Cybernetics
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. We show that this notion captures a wid…
Bayesian Updates Compose Optically
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. If the process is believed to have a complex compositional structure, w…
Radically Compositional Cognitive Concepts
Toby B. St Clere Smithe
Despite ample evidence that our concepts, our cognitive architecture, and mathematics itself are all deeply compositional, few models take advantage of this structure. We therefore…