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Found 8 papers, 0 papers with code
From Conceptual Spaces to Quantum Concepts: Formalising and Learning Structured Conceptual Models
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
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
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.
Formalising and Learning a Quantum Model of Concepts
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
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
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
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
Integrated Information Theory is one of the leading models of consciousness.
