2022
DOI: 10.48550/arxiv.2204.06414
|View full text |Cite
Preprint
|
Sign up to set email alerts
|

Bayesian Integrals on Toric Varieties

Abstract: We explore the positive geometry of statistical models in the setting of toric varieties. Our focus lies on models for discrete data that are parameterized in terms of Cox coordinates. We develop a geometric theory for computations in Bayesian statistics, such as evaluating marginal likelihood integrals and sampling from posterior distributions. These are based on a tropical sampling method for evaluating Feynman integrals in physics. We here extend that method from projective spaces to arbitrary toric varieti… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2022
2022
2022
2022

Publication Types

Select...
1

Relationship

0
1

Authors

Journals

citations
Cited by 1 publication
(1 citation statement)
references
References 13 publications
0
1
0
Order By: Relevance
“…Numeric integration can be performed using Monte-Carlo methods (for a method developed recently based on rejection sampling from tropical densities see [49]). The basic goal is to be able to numerically evaluate integrals of the form…”
Section: Numeric Integrationmentioning
confidence: 99%
“…Numeric integration can be performed using Monte-Carlo methods (for a method developed recently based on rejection sampling from tropical densities see [49]). The basic goal is to be able to numerically evaluate integrals of the form…”
Section: Numeric Integrationmentioning
confidence: 99%