5 papers
From Conceptual Spaces to Quantum Concepts: Formalising and Learning Structured Conceptual Models
Sean Tull, Razin A. Shaikh, Sara Sabrina Zemljic +1
In this article we present a new modelling framework for structured concepts using a category-theoretic generalisation of conceptual spaces, and show how the conceptual representat…
Formalising and Learning a Quantum Model of Concepts
Sean Tull, Razin A. Shaikh, Sara Sabrina Zemljic +1
In this report we present a new modelling framework for concepts based on quantum theory, and demonstrate how the conceptual representations can be learned automatically from data.…
The Conceptual VAE
Razin A. Shaikh, Sara Sabrina Zemljic, Sean Tull +1
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 d…
Convexity deficit of benzenoids
Nino Bašić, Sarah Berkemer, Jörg Fallmann +6
In 2012, a family of benzenoids was introduced by Cruz, Gutman, and Rada, which they called convex benzenoids. In this paper we introduce the convexity deficit, a new topological i…
On Disjoint hypercubes in Fibonacci cubes
Sylvain Gravier, Michel Mollard, Simon Spacapan +1
The {\em Fibonacci cube} of dimension , denoted as , is the subgraph of -cube induced by vertices with no consecutive 1's. We study the maximum number of disjoin…