10 citations · 30 across the 9 of their papers we have counts for
11 papers
Structured Active Inference (Extended Abstract)
Toby St Clere Smithe
We introduce structured active inference, a large generalization and formalization of active inference using the tools of categorical systems theory. We cast generative models form…
Copy-composition for Probabilistic Graphical Models
Toby St Clere Smithe
In probabilistic modelling, joint distributions are often of more interest than their marginals, but the standard composition of stochastic channels is defined by marginalization.…
Active Inference in String Diagrams: A Categorical Account of Predictive Processing and Free Energy
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 cate…
Approximate Inference via Fibrations of Statistical Games
Toby St Clere Smithe
We characterize a number of well known systems of approximate inference as loss models: lax sections of 2-fibrations of statistical games, constructed by attaching internally-defin…
The Compositional Structure of Bayesian Inference
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. If the process is believed to have a complex compositional structure, w…
Mathematical Foundations for a Compositional Account of the Bayesian Brain
Toby St Clere Smithe
This dissertation reports some first steps towards a compositional account of active inference and the Bayesian brain. Specifically, we use the tools of contemporary applied catego…
Compositional Active Inference II: Polynomial Dynamics. Approximate Inference Doctrines
Toby St. Clere Smithe
We develop the compositional theory of active inference by introducing activity, functorially relating statistical games to the dynamical systems which play them, using the new not…
Open Dynamical Systems as Coalgebras for Polynomial Functors, with Application to Predictive Processing
Toby St. Clere Smithe
We present categories of open dynamical systems with general time evolution as categories of coalgebras opindexed by polynomial interfaces, and show how this extends the coalgebrai…
Compositional Active Inference I: Bayesian Lenses. Statistical Games
Toby St. Clere Smithe
We introduce the concepts of Bayesian lens, characterizing the bidirectional structure of exact Bayesian inference, and statistical game, formalizing the optimization objectives of…
Hairpins in the conformations of a confined polymer
E. Werner, A. Jain, A. Muralidhar +6
If a semiflexible polymer confined to a narrow channel bends around by 180 degrees, the polymer is said to exhibit a hairpin. The equilibrium extension statistics of the confined p…
Finite-size corrections for confined polymers in the extended de Gennes regime
T. St Clere Smithe, V. Iarko, A. Muralidhar +3
Theoretical results for the extension of a polymer confined to a channel are usually derived in the limit of infinite contour length. But experimental studies and simulations of DN…