Local and Global Optima: Sheaves and Polynomial Approximations

• Tác giả: Fernando Tohmé
• Ngôn ngữ: eng
• Ký hiệu phân loại: 511.4 Approximations formerly also 513.24 and expansions
• Thông tin xuất bản: 2025
• Bộ sưu tập: Báo, Tạp chí
• ID: 226485

Tóm tắt

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.