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https://github.com/FatemehTarashi/awesome-algebraic-statistics

A curated list of Algebraic Statistics tools and resources.
https://github.com/FatemehTarashi/awesome-algebraic-statistics

List: awesome-algebraic-statistics

algebraic-geometry algebraic-statistics awesome awesome-list combinatorics commutative-algebra mathematica statistics

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A curated list of Algebraic Statistics tools and resources.

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# awesome-algebraic-statistics
A curated list of Algebraic Statistics tools and resources.

Algebraic statistics is concerned with the development of techniques in algebraic geometry, commutative algebra, and combinatorics, to address problems in statistics and its applications.

## Contents

- [Theory](#theory)
- [Books](#books)
- [Articles](#articles)
- [Tools](#tools)
- [C++](#C++)
- [Macaulay2](#macaulay2)
- [R](#r)
- [Useful Links](#useful-links)
- [Event](#event)

## Theory

### Books
- [Algebraic Statistics](https://dokumen.pub/algebraic-statistics-draftnbsped.html) - Sullivant.
- [Algebraic Statistics](https://tore.tuhh.de/bitstream/11420/1271/1/book.pdf) - Zimmermann.
- [Algebraic Statistics for Computational Biology](http://yaroslavvb.com/papers/pachter-algebraic.pdf) - Pachter, and Sturmfels.
- [An Introduction to Algebraic Statistics](https://www3.diism.unisi.it/~chiantini/did/00Book.pdf) - Bocci, Chiantini, and Geramita.
- [Lectures on Algebraic Statistics](https://math.berkeley.edu/~bernd/owl.pdf) - Drton, Sturmfels, and Sullivant.

### Articles
- [Algebraic Statistics](https://math.uchicago.edu/~may/REU2020/REUPapers/Mi,Sabrina.pdf) - Sabrina Mi.
- [Algebraic Statistics and Contingency Table Problems: Log-Linear Models, Likelihood Estimation, and Disclosure Limitation](https://www.stat.cmu.edu/~arinaldo/papers/IMA_final.pdf) - Dobra, Fienberg, Rinaldo, Slavkovic, and Zhou.
- [Algebraic statistics, tables, and networks: The Fienberg advantage](https://arxiv.org/pdf/1910.01692.pdf) - Gross, Karwa, and Petrovic
- [Algebraic Statistics Day (Christiane Görgen: What is (algebraic) statistics?)](https://www.mis.mpg.de/fileadmin/sturmfels/asday_intro.pdf) - Görgen
- [Algebraic Statistics in Practice: Applications to Networks](https://arxiv.org/abs/1906.09537) - Casanellas, Petrović, Uhler.
- [Algebraic Statistics in Model Selection](https://arxiv.org/pdf/1207.4112.pdf) - Garcia.
- [Algebraic statistical models](https://www3.stat.sinica.edu.tw/statistica/oldpdf/A17n41.pdf) - Drton, and Sullivant.
- [New directions in algebraic statistics: Three challenges from 2023](https://arxiv.org/pdf/2402.13961) - Alexandr, Bakenhus, Curiel, Deshpande, Gross, Gu, Hill, Johnson, Kagy, Karwa, Li, Lyu, Petrovi´c, Rodriguez
- [Introductory Notes to Algebraic Statistics](https://www.openstarts.units.it/bitstream/10077/4141/1/HostenRuffaRendMat37.pdf) - Hoşten, and Ruffa.
- [Open Problems in Algebraic Statistics](https://arxiv.org/pdf/0707.4558.pdf) - Sturmfels.
- [TAPAS of Algebraic Statistics](https://upcommons.upc.edu/bitstream/handle/2117/121825/AMS_AlgStat_edited.pdf;jsessionid=14FDD04764DB8FC23E69C9EFAD4526F2?sequence=1) - Endola, Casanellas, and Puente.
- [Thesis: The Algebraic Statistics of Sampling, Likelihood, and Regression](https://orlandomarigliano.com/thesis.pdf) - Marigliano.

## Tools

### C++
- [4ti2](https://github.com/4ti2/4ti2) A software package for algebraic, geometric and combinatorial problems on linear spaces.

### Macaulay2
- [Algebraic Optimization degree](https://github.com/Macaulay2/Workshop-2020-Cleveland/tree/ISSAC-AlgOpt/alg-stat/AlgebraicOptimization)
- [GraphicalModels a gold star](https://faculty.math.illinois.edu/Macaulay2/doc/Macaulay2-1.20/share/doc/Macaulay2/GraphicalModels/html/index.html) - discrete and Gaussian graphical models
- [GraphicalModelsMLE](https://faculty.math.illinois.edu/Macaulay2/doc/Macaulay2-1.20/share/doc/Macaulay2/GraphicalModelsMLE/html/index.html) - maximum likelihood estimates for graphical statistical models
- [StatGraphs](https://faculty.math.illinois.edu/Macaulay2/doc/Macaulay2-1.20/share/doc/Macaulay2/StatGraphs/html/index.html) - Graphs specific for algebraic statistics

### R
- [algstat](https://github.com/dkahle/algstat) An R package for algebraic statistics.

## Useful Links
- [Journal of Algebraic Statistics (ISSN: 2693-2997)](https://msp.org/astat/2022/13-1/))
- [Journal of Algebraic Statistics (ISSN: 1309-3452)](https://ores.su/en/journals/journal-of-algebraic-statistics/)
- [Journal of Modern Applied Statistical Methods (ISSN: 1538-9472)](https://digitalcommons.wayne.edu/jmasm/)
- [https://sethsullivant.wordpress.ncsu.edu/activities/](https://sethsullivant.wordpress.ncsu.edu/activities/)

## Event
- [Algebraic Statistics Online Seminar](https://sites.google.com/view/algstatsonline/home)

- ["Applied and computational algebraic geometry" EMGW02, from 22 January to 26 January 2024](https://www.newton.ac.uk/event/emgw02/)
- ["The 3-way-interaction seminar is a monthly algebraic statistics seminar" in Germany](https://3-way-interaction.de/)