Tropical toric maximum likelihood estimation
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866908480478117888 |
|---|---|
| author | Boniface, Emma Devriendt, Karel Hoşten, Serkan |
| author_facet | Boniface, Emma Devriendt, Karel Hoşten, Serkan |
| contents | We consider toric maximum likelihood estimation over the field of Puiseux series and study critical points of the likelihood function using tropical methods. This problem translates to finding the intersection points of a tropical affine space with a classical linear subspace. We derive new structural results on tropical affine spaces and use these to give a complete and explicit description of the tropical critical points in certain cases. In these cases, we associate tropical critical points to the simplices in a regular triangulation of the polytope giving rise to the toric model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_10567 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Tropical toric maximum likelihood estimation Boniface, Emma Devriendt, Karel Hoşten, Serkan Algebraic Geometry Combinatorics Optimization and Control 14T15, 14T90, 52B40, 62R01 We consider toric maximum likelihood estimation over the field of Puiseux series and study critical points of the likelihood function using tropical methods. This problem translates to finding the intersection points of a tropical affine space with a classical linear subspace. We derive new structural results on tropical affine spaces and use these to give a complete and explicit description of the tropical critical points in certain cases. In these cases, we associate tropical critical points to the simplices in a regular triangulation of the polytope giving rise to the toric model. |
| title | Tropical toric maximum likelihood estimation |
| topic | Algebraic Geometry Combinatorics Optimization and Control 14T15, 14T90, 52B40, 62R01 |
| url | https://arxiv.org/abs/2404.10567 |