Local and Global Optima: Sheaves and Polynomial Approximations
Fuente:
arXiv
Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909539019784192 |
|---|---|
| author | Tohmé, Fernando |
| author_facet | Tohmé, Fernando |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_12672 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Local and Global Optima: Sheaves and Polynomial Approximations Tohmé, Fernando Theoretical Economics 91B02, 12D10, 90C59, 18F20 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. |
| title | Local and Global Optima: Sheaves and Polynomial Approximations |
| topic | Theoretical Economics 91B02, 12D10, 90C59, 18F20 |
| url | https://arxiv.org/abs/2503.12672 |