Towards foundations of categorical cybernetics

Matteo Capucci; Bruno Gavranovic; Julian Hedges; Eigil Fjeldgren Rischel

Towards foundations of categorical cybernetics

Matteo Capucci, Bruno Gavranovic, Julian Hedges, Eigil Fjeldgren Rischel

Computer And Information Sciences

Research output: Contribution to conference › Paper › peer-review

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Abstract

We propose a categorical framework for processes which interact bidirectionally with both an environment and a ‘controller’. Examples include open learners, in which the controller is an optimiser such as gradient descent, and an approach to compositional game theory closely related to open games, in which the controller is a composite of game-theoretic agents. We believe that ‘cybernetic’ is an appropriate name for the processes that can be described in this framework.

Original language	English
Pages	1-13
Number of pages	13
Publication status	Published - 12 Jul 2021
Event	Applied Category Theory 2021 - University of Cambridge, Cambridge, United Kingdom Duration: 12 Jul 2021 → 16 Jul 2021

Conference

Conference	Applied Category Theory 2021
Country/Territory	United Kingdom
City	Cambridge
Period	12/07/21 → 16/07/21

Keywords

cybernetics
categorical framework
bidirectional interaction

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Capucci-etal-ACT2021-Towards-foundations-of-categorical-cyberneticsAccepted author manuscript, 205 KB

https://arxiv.org/abs/2105.06332

Cite this

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title = "Towards foundations of categorical cybernetics",

abstract = "We propose a categorical framework for processes which interact bidirectionally with both an environment and a {\textquoteleft}controller{\textquoteright}. Examples include open learners, in which the controller is an optimiser such as gradient descent, and an approach to compositional game theory closely related to open games, in which the controller is a composite of game-theoretic agents. We believe that {\textquoteleft}cybernetic{\textquoteright} is an appropriate name for the processes that can be described in this framework.",

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T1 - Towards foundations of categorical cybernetics

AU - Capucci, Matteo

AU - Gavranovic, Bruno

AU - Hedges, Julian

AU - Rischel, Eigil Fjeldgren

PY - 2021/7/12

Y1 - 2021/7/12

N2 - We propose a categorical framework for processes which interact bidirectionally with both an environment and a ‘controller’. Examples include open learners, in which the controller is an optimiser such as gradient descent, and an approach to compositional game theory closely related to open games, in which the controller is a composite of game-theoretic agents. We believe that ‘cybernetic’ is an appropriate name for the processes that can be described in this framework.

AB - We propose a categorical framework for processes which interact bidirectionally with both an environment and a ‘controller’. Examples include open learners, in which the controller is an optimiser such as gradient descent, and an approach to compositional game theory closely related to open games, in which the controller is a composite of game-theoretic agents. We believe that ‘cybernetic’ is an appropriate name for the processes that can be described in this framework.

KW - cybernetics

KW - categorical framework

KW - bidirectional interaction

UR - https://www.cl.cam.ac.uk/events/act2021/

M3 - Paper

SP - 1

EP - 13

T2 - Applied Category Theory 2021

Y2 - 12 July 2021 through 16 July 2021

ER -

Towards foundations of categorical cybernetics

Abstract

Conference

Keywords

Access to Document

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