4 papers
A Categorical Analysis of Large Language Models and Why LLMs Circumvent the Symbol Grounding Problem
Luciano Floridi, Yiyang Jia, Fernando Tohmé
This paper presents a formal, categorical framework for analysing how humans and large language models (LLMs) transform content into truth-evaluated propositions about a state spac…
Sheaves on Quivers via a Grothendieck Topology on the Path Category
Eric M. Schmid, Fernando Tohmé, William Chin
We construct Grothendieck topologies on the path category of a finite graph, examining both coarse and discrete cases that offer different perspectives on quiver representations. T…
Local and Global Optima: Sheaves and Polynomial Approximations
Fernando Tohmé
In this paper, we analyze how global optima of an agent's preferences can be reconstructed from the solutions found for local problems. A sheaf-theoretic analysis provides an abstr…
A categorical representation of games
Fernando Tohmé, Ignacio Viglizzo
Strategic games admit a multi-graph representation, in which two kinds of relations, accessibility, and preferences, are used to describe how the players compare the possible outco…