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Former Research Group

Statistical Data Analysis in the Algebraic Geometry Age - Publications

Explore the scholarly works of the "Statistical Data Analysis in the Algebraic Geometry Age" group. Browse journal articles, contributions in books and conference proceedings, academic theses, or discover our research through preprints.

inJournal
2025 Journal Open Access
Michael Borinsky, Chiara Meroni and Maximilian Wiesmann

Bivariate exponential integrals and edge-bicolored graphs

In: Le Matematiche, 80 (2025) 1, pp. 167-187
BibTex ArXiv: 2409.18607 Link: lematematiche.dmi.unict.it Code: mathrepo.mis.mpg.de
Preprint
2025 Repository Open Access
Hannah Friedman, Bernd Sturmfels and Maximilian Wiesmann

Squared linear models

BibTex ArXiv: 2505.19351
Preprint
2025 Repository Open Access
Thomas Kahle, Hal Schenck, Bernd Sturmfels and Maximilian Wiesmann

The likelihood correspondence

BibTex ArXiv: 2503.02536
inJournal
2024 Repository Open Access
Yulia Alexandr, Eliana Duarte and Julian Vill

Decomposable context-specific models

In: SIAM journal on applied algebra and geometry, 8 (2024) 2, pp. 363-393
BibTex DOI: 10.1137/23M1575111 ArXiv: 2210.11521
Preprint
2024 Repository Open Access
Thomas Kahle, Lukas Kühne, Leonie Mühlherr, Bernd Sturmfels and Maximilian Wiesmann

Arrangements and likelihood

BibTex ArXiv: 2411.09508 Code: mathrepo.mis.mpg.de
inJournal
2024 Repository Open Access
Kaie Kubjas, Jiayi Li and Maximilian Wiesmann

Geometry of polynomial neural networks

In: Algebraic statistics, 15 (2024) 2, pp. 295-328
BibTex DOI: 10.2140/astat.2024.15.295 ArXiv: 2402.00949 Code: mathrepo.mis.mpg.de
Preprint
2024 Repository Open Access
Simon Telen and Maximilian Wiesmann

Euler stratifications of hypersurface families

BibTex ArXiv: 2407.18176
Preprint
2024 Repository Open Access
Maximilian Wiesmann and Paul Larsen

Pathological regularization regimes in classification tasks

BibTex ArXiv: 2406.14731
inJournal
2023 Journal Open Access
Isobel Davies, Eliana Duarte, İrem Portakal and Miruna-Stefana Sorea

Families of polytopes with rational linear precision in higher dimensions

In: Foundations of computational mathematics, 23 (2023), pp. 2151-2202
BibTex DOI: 10.1007/s10208-022-09583-7 ArXiv: 2109.08151
inJournal
2023 Repository Open Access
Eliana Duarte and Liam Solus

A new characterization of discrete decomposable graphical models

In: Proceedings of the American Mathematical Society, 151 (2023), pp. 1325-1338
BibTex DOI: 10.1090/proc/16212 ArXiv: 2105.05907
Preprint
2023 Repository Open Access
Eliana Duarte, Dimitrii Pavlov and Maximilian Wiesmann

Algebraic geometry of quantum graphical models

BibTex Code: mathrepo.mis.mpg.de
inBook
2023 Repository Open Access
Eliana Duarte, Benjamin Hollering and Maximilian Wiesmann

Toric fiber products in geometric modeling

In: Geometric science of information : 6th international conference, GSI 2023, St. Malo, France, August 30 - September 1, 2023, proceedings, part I / Frank Nielsen... (eds.)
Cham : Springer, 2023. - pp. 494-503
(Lecture notes in computer science ; 14071)
BibTex DOI: 10.1007/978-3-031-38271-0_49 ArXiv: 2303.08754
inJournal
2021 Repository Open Access
Lamprini Ananiadi and Eliana Duarte

Gröbner bases for staged trees

In: Algebraic statistics, 12 (2021) 1, pp. 1-20
BibTex DOI: 10.2140/astat.2021.12.1 ArXiv: 1910.02721 MiS Preprint
inJournal
2021 Repository Open Access
Eliana Duarte, Orlando Marigliano and Bernd Sturmfels

Discrete statistical models with rational maximum likelihood estimator

In: Bernoulli, 27 (2021) 1, pp. 135-154
BibTex DOI: 10.3150/20-BEJ1231 ArXiv: 1903.06110 MiS Preprint
Preprint
2021 Repository Open Access
Eliana Duarte and Liam Solus

Representation of context-specific causal models with observational and interventional data

BibTex ArXiv: 2101.09271
inJournal
2021 Journal Open Access
Carlos Guerra, Manuel Delgado-Baquerizo, Eliana Duarte, Orlando Marigliano, Christiane Görgen, Fernando T. Maestre and Nico Eisenhauer

Global projections of the soil microbiome in the Anthropocene

In: Global ecology and biogeography, 30 (2021) 5, pp. 987-999
BibTex DOI: 10.1111/geb.13273 Code: figshare.com
Preprint
2020 Repository Open Access
Eliana Duarte and Liam Solus

Algebraic geometry of discrete interventional models

BibTex ArXiv: 2012.03593
inJournal
2020 Repository Open Access
Eliana Duarte and Alexandra Seceleanu

Implicitization of tensor product surfaces via virtual projective resolutions

In: Mathematics of computation, 89 (2020) 326, pp. 3023-3056
BibTex DOI: 10.1090/mcom/3548 ArXiv: 1908.02086 MiS Preprint
inJournal
2020 Repository Open Access
Christiane Görgen and Eliana Duarte

Equations defining probability tree models

In: Journal of symbolic computation, 99 (2020), pp. 127-146
BibTex DOI: 10.1016/j.jsc.2019.04.001 ArXiv: 1802.04511 MiS Preprint
inJournal
2017 Repository Open Access
Eliana Duarte

Implicitization of tensor product surfaces in the presence of a generic set of basepoints

In: Journal of algebra and its applications, 16 (2017) 10, p. 1750189
BibTex DOI: 10.1142/S0219498817501894 ArXiv: 1610.03820
inBook
2016
Eliana Duarte and Daniel Lichtblau

Polynomial GCDs by syzygies

In: SYNASC 2016 : 18th International symposium on symbolic and numeric algorithms for scientific computing, Timisoara, Romania, September 24-27, 2016 ; proceedings / James Davenport... (eds.)
Los Alamitos : IEEE, 2016. - pp. 53-59
BibTex DOI: 10.1109/SYNASC.2016.021
inJournal
2016 Repository Open Access
Eliana Duarte and Hal Schenck

Tensor product surfaces and linear syzygies

In: Proceedings of the American Mathematical Society, 144 (2016) 1, pp. 65-72
BibTex DOI: 10.1090/proc/12703 ArXiv: 1402.6751
inBook
2013
Eliana Duarte and George K. Francis

Stability of quasicrystal frameworks in 2D and 3D

In: Proceedings of the first conference on transformables : in honor of Emilio Pérez Pinero, 18-20 September 2013, Sevilla, Spain / Felix Escrig... (eds.)
Sevilla : Starbooks, 2013.
BibTex Link: new.math.uiuc.edu