Completions to Discrete Probability Distributions in Log-linear Models
Fuente:
arXiv
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866916504859049984 |
|---|---|
| author | Cai, May Recke, Cecilie Olesen Yahl, Thomas |
| author_facet | Cai, May Recke, Cecilie Olesen Yahl, Thomas |
| contents | Completion problems, of recovering a point from a set of observed coordinates, are abundant in applications to image reconstruction, phylogenetics, and data science. We consider a completion problem coming from algebraic statistics: to describe the completions of a point to a probability distribution lying in a given log-linear model. When there are finitely many completions, we show that these points either have a unique completion or two completions to the log-linear model depending on the set of observed coordinates. We additionally describe the region of points which have a completion to the log-linear model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_15154 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Completions to Discrete Probability Distributions in Log-linear Models Cai, May Recke, Cecilie Olesen Yahl, Thomas Statistics Theory Algebraic Geometry Completion problems, of recovering a point from a set of observed coordinates, are abundant in applications to image reconstruction, phylogenetics, and data science. We consider a completion problem coming from algebraic statistics: to describe the completions of a point to a probability distribution lying in a given log-linear model. When there are finitely many completions, we show that these points either have a unique completion or two completions to the log-linear model depending on the set of observed coordinates. We additionally describe the region of points which have a completion to the log-linear model. |
| title | Completions to Discrete Probability Distributions in Log-linear Models |
| topic | Statistics Theory Algebraic Geometry |
| url | https://arxiv.org/abs/2312.15154 |