Search Results for author: Sean Tull

Found 8 papers, 0 papers with code

From Conceptual Spaces to Quantum Concepts: Formalising and Learning Structured Conceptual Models

no code implementations6 Nov 2023 Sean Tull, Razin A. Shaikh, Sara Sabrina Zemljic, Stephen Clark

We show how concepts from the domains of shape, colour, size and position can be learned from images of simple shapes, where concepts are represented as Gaussians in the classical implementation, and quantum effects in the quantum one.

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.

Causal models in string diagrams

no code implementations15 Apr 2023 Robin Lorenz, Sean Tull

This work aims to be accessible to different communities, from causal model practitioners to researchers in applied category theory, and discusses many examples from the literature for illustration.

Causal Inference

Formalising and Learning a Quantum Model of Concepts

no code implementations7 Feb 2023 Sean Tull, Razin A. Shaikh, Sara Sabrina Zemljic, Stephen Clark

Our approach builds upon Gardenfors' classical framework of conceptual spaces, in which cognition is modelled geometrically through the use of convex spaces, which in turn factorise in terms of simpler spaces called domains.

The Conceptual VAE

no code implementations21 Mar 2022 Razin A. Shaikh, Sara Sabrina Zemljic, Sean Tull, Stephen Clark

In this report we present a new model of concepts, based on the framework of variational autoencoders, which is designed to have attractive properties such as factored conceptual domains, and at the same time be learnable from data.

A Categorical Semantics of Fuzzy Concepts in Conceptual Spaces

no code implementations12 Oct 2021 Sean Tull

We define a symmetric monoidal category modelling fuzzy concepts and fuzzy conceptual reasoning within G\"ardenfors' framework of conceptual (convex) spaces.

Monoidal Categories for Formal Concept Analysis

no code implementations15 Dec 2020 Sean Tull

We investigate monoidal categories of formal contexts, in which states correspond to formal concepts.

Category Theory Logic in Computer Science

The Mathematical Structure of Integrated Information Theory

no code implementations18 Feb 2020 Johannes Kleiner, Sean Tull

Integrated Information Theory is one of the leading models of consciousness.

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