Thomas Kahle

• Research interests:
  • Geometry of Statistical Models
  • Algebraic Statistics
  • Marginal Polytopes
  • Binomial Ideals and Computations in Commutative Algebra
  • Robustness and Complexity



• Activities:
  • Implementation of Binomial Primary Decomposition. (updated Dec. 7th 2009)
  • Combinatorial Algebra in Sevilla Jan. 25-30 2010
  • AMS Special Session on Advances in Algebraic Statistics, Mar 27-28 in Lexington, USA
  • Minischool on Quantum Information Theory, Leipzig, May 31st - Jun 2nd 2010
  • A non-radical commuting birth and death ideal
  • Model Selection Days
  • The Markov Bases Database
  • Alexander Engström and myself ran the Workshop on Polytopes and Algebraic Statistics : Aug. 11-13th 2008, KTH Stockholm



• Short Curriculum Vitae:
  • 2001-2003 Study of Physics University of Magdeburg
  • 2003-2006 Study of Physics University of Leipzig
  • since Oct. 2006 PhD student at MPI MiS
  • since 2006 PhD representative of MPI MiS
  • Talks: UC Berkeley, FU Berlin, TU Chemnitz, UC Davis, ECCS'07 Dresden, Univ. Leipzig, TU Magdeburg, WUPES'06 Mikulov, Czech Academy Sci. Prague, KTH Stockholm, ...



• Articles:
  1. J. Herzog, T. Hibi, F. Hreinsdottir, T. Kahle, J. Rauh, Binomial Edge Ideals and Conditional Independence Statements,
     to appear in Adv. Appl. Math. arxiv:0909.4717
  2. T. Kahle Decompositions of Binomial Ideals
     to appear in AISM Special Issue "Algebraic Methods in Computational Statistics", arxiv:0906.4873
  3. J. Rauh, T. Kahle, N. Ay Support Sets in Exponential Families and Oriented Matroid Theory
     Proc. WUPES'09, invited for special issue of IJAR arxiv:0906.5462
  4. E.Olbrich, T.Kahle, N.Bertschinger, N. Ay, J.Jost Quantifying structure in networks
     submitted to EJPB, arxiv:0912.4450
  5. T. Kahle Neighborliness of Marginal Polytopes
     to appear in Contributions to Algebra and Geometry arxiv
  6. T. Kahle, E.Olbrich, J. Jost,N. Ay Complexity Measures from Interaction Structures
     Phys. Rev. E 79, 026201 (2009) arxiv
  7. T. Kahle, W. Wenzel, N. Ay Hierarchical Models, Marginal Polytopes, and Linear Codes
     Kybernetika 45(2) 189-208 (2009) arxiv
  8. T. Kahle, N. Ay. Support Sets of Distributions with Given Interaction Structure.
     Proceedings of WUPES'06 (2006). Santa Fe Institute Working Paper 06-08-027. pdf-file



• Old stuff:
  • Diploma thesis: Information Geometry and Statistical Learning Theory ( ps , pdf)
  • Talk: The Glivenko Cantelli Theorem and its Generalizations (pdf-file)
  • Cipi - A threaded implementation of iterative proportional fitting



• Back to group home