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08/01/2023
Active Inference in String Diagrams: A Categorical Account of Predictive Processing and Free Energy
We present a categorical formulation of the cognitive frameworks of Pred...
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06/29/2023
Approximate Inference via Fibrations of Statistical Games
We characterize a number of well known systems of approximate inference ...
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05/10/2023
The Compositional Structure of Bayesian Inference
Bayes' rule tells us how to invert a causal process in order to update o...
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12/23/2022
Mathematical Foundations for a Compositional Account of the Bayesian Brain
This dissertation reports some first steps towards a compositional accou...
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12/02/2022
Designing Ecosystems of Intelligence from First Principles
This white paper lays out a vision of research and development in the fi...
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11/03/2022
Polynomial Life: the Structure of Adaptive Systems
We extend our earlier work on the compositional structure of cybernetic ...
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08/25/2022
Compositional Active Inference II: Polynomial Dynamics. Approximate Inference Doctrines
We develop the compositional theory of active inference by introducing a...
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06/08/2022
Open dynamical systems as coalgebras for polynomial functors, with application to predictive processing
We present categories of open dynamical systems with general time evolut...
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09/09/2021
Compositional Active Inference I: Bayesian Lenses. Statistical Games
We introduce the concepts of Bayesian lens, characterizing the bidirecti...
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01/26/2021
Cyber Kittens, or Some First Steps Towards Categorical Cybernetics
We define a categorical notion of cybernetic system as a dynamical reali...
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05/31/2020