Publikationen
2022
Begutachteter Zeitschriftenartikel
The geometry of Gaussian double Markovian distributions
Boege, Tobias; Kahle, Thomas; Kretschmer, Andreas; Röttger, Frank
In: Scandinavian journal of statistics - Oxford : Wiley-Blackwell . - 2022, insges. 32 S.
Invariant chains in algebra and discrete geometry
Kahle, Thomas; Le, Dinh Van; Römer, Tim
In: SIAM journal on discrete mathematics/ Society for Industrial and Applied Mathematics - Philadelphia, Pa.: Soc., Bd. 36 (2022), 2, S. 975-999
Binomial edge ideals of cographs
Kahle, Thomas; Krüsemann, Jonas
In: Revista de la Unión Matemática Argentina/ Unión Matemática Argentina - Buenos Aires: Unión, Bd. 63 (2022), 2, S. 305-316
Dissertation
The Gaussian conditional independence inference problem
Boege, Tobias; Kahle, Thomas; Kaibel, Volker
In: Magdeburg: Universitätsbibliothek, 2022, 1 Online-Ressource (ii, 143 Seiten, 1,33 MB), Formeln
Nicht begutachteter Zeitschriftenartikel
Optimal designs for discrete choice models via graph Laplacians
Röttger, Frank; Kahle, Thomas; Schwabe, Rainer
In: De.arxiv.org - [S.l.]: Arxiv.org . - 2022, insges. 23 S.
2021
Begutachteter Zeitschriftenartikel
Hilbert-Poincaré series of parity binomial edge ideals and permanental ideals of complete graphs
Hoang, Do Trong; Kahle, Thomas
In: Collectanea mathematica - Barcelona, Bd. 72 (2021), 3, S. 471-479
Construction methods for gaussoids
Boege, Tobias; Kahle, Thomas
In: Kybernetika - Praha, Bd. 56 (2021), 6, S. 1045-1062
The semialgebraic geometry of saturated optimal designs for the Bradley-Terry model
Kahle, Thomas; Röttger, Frank; Schwabe, Rainer
In: Algebraic statistics - Berkeley, Calif.: Mathematical Sciences Publishers, Bd. 12 (2021), 1, S. 97-114
Rezension
[Rezension von: Sullivant, Seth, Algebraic statistics]
Kahle, Thomas; Sullivant, Seth
In: Bulletin of the American Mathematical Society/ American Mathematical Society - Menasha, Wis. [u.a.]: American Mathematical Society, 1891, Bd. 58 (2021), 2, S. 305-309
2020
Begutachteter Zeitschriftenartikel
Sums of squares in Macaulay2
Cifuentes, Diego; Kahle, Thomas; Parrilo, Pablo
In: Journal of Software for Algebra and Geometry: Macaulay2: JSAG - [S.l.], Bd. 10.2020, S. 17-24
Geometrie optimaler Versuchspläne
Kahle, Thomas; Röttger, Frank; Schwabe, Rainer
In: Mitteilungen der Deutschen Mathematiker-Vereinigung/ Deutsche Mathematiker-Vereinigung - Berlin: DMV, Bd. 28.2020, 2, S. 71-76
Dissertation
Geometry of optimal design and limit theorems
Röttger, Frank; Kahle, Thomas; Schwabe, Rainer
In: Magdeburg, Dissertation Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik 2020, IX, 105 Seiten [Literaturverzeichnis: Seite 99-105][Literaturverzeichnis: Seite 99-105]
2019
Begutachteter Zeitschriftenartikel
Multistationarity in the space of total concentrations for systems that admit a monomial parametrization
Conradi, Carsten; Iosif, Alexandru; Kahle, Thomas
In: Bulletin of mathematical biology - New York, NY: Springer, 1939, Bd. 81.2019, 10, S. 4174-4209
Linear syzygies, hyperbolic Coxeter groups and regularity
Constantinescu, Alexandru; Kahle, Thomas; Varbaro, Matteo
In: Compositio mathematica - Cambridge: Cambridge Univ. Press, 1935, Bd. 155.2019, 1, S. 1076-1097
Counting inversions and descents of random elements in finite Coxeter groups
Kahle, Thomas; Stump, Christian
In: Mathematics of computation - Providence, RI: Soc., 1960, Bd. 89.2019, 321, S. 437-464
Dissertation
Algebraic methods for the study of multistationarity in mass-action networks
Iosif, Alexandru; Kahle, Thomas
In: Magdeburg, Dissertation Otto-von-Guericke-Universität Magdeburg, Fakultät für Mathematik 2019, 68 Seiten [Literaturverzeichnis: Seite 65-68][Literaturverzeichnis: Seite 65-68]
Nicht begutachteter Zeitschriftenartikel
The semi-algebraic geometry of optimal designs for the Bradley-Terry model
Kahle, Thomas; Röttger, Frank; Schwabe, Rainer
In: De.arxiv.org - [S.l.]: Arxiv.org, 1991, 2019, Artikel 1901.02375, insgesamt 18 Seiten
2018
Abstract
Geometry of parameter regions for optimal designs
Röttger, Frank; Kahle, Thomas; Schwabe, Rainer
In: IWS 2018: 9th International Workshop on Simulation : Barcelona, Spain, June 25 - June 29, 2018 : book of abstracts - Barcelona, 2018; Fonseca, P. . - 2018, S. 107-108[Workshop: 9th International Workshop on Simulation, IWS 2018, Barcelona, Spain, June 25 - June 29, 2018]
Begutachteter Zeitschriftenartikel
Obstructions to combinatorial formulas for plethysm
Kahle, Thomas; Michałek, Mateusz
In: The electronic journal of combinatorics - [Madralin]: EMIS ELibEMS, 1994, Vol. 25.2018, 1, Paper P1.41, insgesamt 9 S.
The geometry of gaussoids
Boege, Tobias; DAlì, Alessio; Kahle, Thomas; Sturmfels, Bernd
In: Foundations of computational mathematics: FoCM ; official journal of the Society for the Foundation of Computational Mathematics (SFoCM) - New York, NY: Springer, 2001 . - 2018, insges. 38 S.[Online first]
Veronesean almost binomial almost complete intersections
Kahle, Thomas; Wagner, André
In: Rendiconti dell'Istituto di Matematica dell'Università di Trieste/ Istituto di Matematica - Trieste: Ist, 1993, Bd. 50.2018, S. 65-79
2017
Begutachteter Zeitschriftenartikel
The geometry of rank-one tensor completion
Kahle, Thomas; Kubjas, Kaie; Kummer, Mario; Rosen, Zvi
In: Siam journal on applied algebra and geometry - Philadelphia, PA.: SIAM, 2017, Bd. 1.2017, 1, S. 200-221
Finding binomials in polynomial ideals
Jensen, Anders; Kahle, Thomas; Katthän, Lukas
In: Research in the mathematical sciences - New York, NY [u.a.]: Springer, 2014, Bd. 4.2017, 1, insges. 10 S.
2016
Buchbeitrag
On the feasibility of semi-algebraic sets in poisson regression
Kahle, Thomas
In: Konferenz: 5th International Conference on Mathematical Software, ICMS 2016, Berlin, Germany, July 11-14, 2016, Mathematical Software ICMS 2016 - Cham: Springer; Greuel, Gert-Martin . - 2016, S. 142-147
Begutachteter Zeitschriftenartikel
Irreducible decomposition of binomial ideals
Kahle, Thomas; Miller, Ezra; ONeill, Christopher
In: Compositio mathematica - Cambridge: Cambridge Univ. Press, 1935, Bd. 152.2016, 6, S. 1319-1332
Eigenschemes and the Jordan canonical form
Abo, Hirotachi; Eklund, David; Kahle, Thomas; Peterson, Chris
In: Linear algebra and its applications: LAA - New York, NY: American Elsevier Publ., 1968, Bd. 496.2016, S. 121-151
Algebraic geometry of Poisson regression
Kahle, Thomas; Oelbermann, Kai-Friederike; Schwabe, Rainer
In: Journal of algebraic statistics - Istanbul, 2012, Bd. 7.2016, 1, S. 29-44
2015
Begutachteter Zeitschriftenartikel
Detecting binomiality
Conradi, Carsten; Kahle, Thomas
In: Advances in applied mathematics - Amsterdam [u.a.]: Elsevier, 1980, Bd. 71.2015, S. 52-67
Plethysm and lattice point counting
Kahle, Thomas; Michałek, Mateusz
In: Foundations of computational mathematics: FoCM ; official journal of the Society for the Foundation of Computational Mathematics (SFoCM) - New York, NY: Springer, 2001 . - 2015
Linear syzygies, flag complexes, and regularity
Constantinescu, Alexandru; Kahle, Thomas; Varbaro, Matteo
In: Collectanea mathematica - Barcelona, 1948 . - 2015
Parity binomial edge ideals
Kahle, Thomas; Sarmiento, Camilo; Windisch, Tobias
In: Journal of algebraic combinatorics: an international journal - Dordrecht [u.a.]: Springer Science + Business Media B.V., 1992, Bd. 44.2015, 1, S. 99-117
2014
Buchbeitrag
Equivariant lattice generators and Markov bases
Kahle, Thomas; Krone, Robert; Leykin, Anton
In: Proceedings of the 39th international symposium on International symposium on symbolic and algebraic computation - New York, NY: ACM, 2014; Nabeshima, Katsusuke . - 2014, S. 264-271Kongress: ISSAC 39 (Kobe, Japan : 2014.07.23-25)
Begutachteter Zeitschriftenartikel
Generic and special constructions of pure O-sequences
Constantinescu, Alexandru; Kahle, Thomas; Varbaro, Matteo
In: Bulletin of the London Mathematical Society/ London Mathematical Society - Hoboken, NJ: Wiley, 1969, Bd. 46.2014, 5, S. 924-942
Toric fiber products versus Segre products
Kahle, Thomas; Rauh, Johannes
In: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg/ Universität Hamburg - Berlin [u.a.]: Springer, 1922, Bd. 84.2014, 2, S. 187-201
Positive margins and primary decomposition
Kahle, Thomas; Rauh, Johannes; Sullivant, Seth
In: Journal of commutative algebra - Tempe, Ariz.: Rocky Mountain Mathematics Consortium, 2009, Bd. 6.2014, 2, S. 173-208
Decompositions of commutative monoid congruences and binomial ideals
Kahle, Thomas; Miller, Ezra
In: Algebra & number theory - Berkeley, CA: Mathematical Sciences Publ., 2007, Bd. 8.2014, 6, S. 1297-1364
2013
Begutachteter Zeitschriftenartikel
Multigraded commutative algebra of graph decompositions
Engström, Alexander; Kahle, Thomas; Sullivant, Seth
In: Journal of algebraic combinatorics: an international journal - Dordrecht [u.a.]: Springer Science + Business Media B.V., 1992 . - 2013, insges. 38 S.
2011
Begutachteter Zeitschriftenartikel
Support sets in exponential families and oriented matroid theory
Rauh, Johannes; Kahle, Thomas; Ay, Nihat
In: International journal of approximate reasoning: the treatment of uncertainity in artificial intelligence - Amsterdam [u.a.]: Elsevier Science, 1987, Bd. 52.2011, 5, S. 613-626
2010
Begutachteter Zeitschriftenartikel
Decompositions of binomial ideals
Kahle, Thomas
In: Annals of the Institute of Statistical Mathematics/ Tōkei-Sūri-Kenkyūsho - Dordrecht [u.a.]: Springer Science + Business Media B.V, 1949, Bd. 62.2010, 4, S. 727-745
Neighborliness of marginal polytopes
Kahle, Thomas
In: Beiträge zur Algebra und Geometrie - Berlin: Springer, 1971, Bd. 51.2010, 1, S. 45-56
Binomial edge ideals and conditional independence statements
Herzog, Jürgen; Hibi, Takayuki; Hreinsdóttir, Freyja; Kahle, Thomas; Rauh, Johannes
In: Advances in applied mathematics - Amsterdam [u.a.]: Elsevier, 1980, Bd. 45.2010, 3, S. 317-333
Quantifying structure in networks
Olbrich, Eckehard; Kahle, Thomas; Bertschinger, N.; Ay, Nihat; Jost, Jürgen
In: The European physical journal / B - Berlin: Springer, 1998, Bd. 77.2010, 2, S. 239-247
2009
Begutachteter Zeitschriftenartikel
Hierarchical models, marginal polytopes, and linear codes
Kahle, Thomas; Wenzel, Walter; Ay, Nihat
In: Kybernetika: international journal published by Institute of Information Theory and Automation - Praha, 1965, Bd. 45.2009, 2, S. 189-207
Complexity measures from interaction structures
Kahle, Thomas; Olbrich, Eckehard; Jost, Jürgen; Ay, Nihat
In: Physical review / E - College Park, Md.: APS, 1993, Vol. 79.2013, 2, Art. 026201, insgesamt 9 S., 2009