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arXiv · 2503.12672

Local and Global Optima: Sheaves and Polynomial Approximations

Fernando Tohmé
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Abstract

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 abstract characterization of the global solution, and polynomial approximations are obtained when only a few local instances are available.

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Fernando Tohmé. 2025-03-16. Local and Global Optima: Sheaves and Polynomial Approximations. https://arxiv.org/abs/2503.12672

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