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cs.AI2025★ 2 cited
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…
math.CT2025
Sheaf Subcategories of Quiver Representations
Eric M. Schmid, Fernando Tohmé, William Chin
Let be a finite quiver without oriented cycles, its path category, and a field. This paper is expository. We assemble in one place, and in elementary combinatorial form…
econ.TH2025
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…