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Experimental Mathematics Volume 26, 2017 - Issue 2
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Original Articles

Normal Binary Hierarchical Models

Daniel Irving BernsteinDepartment of Mathematics, North Carolina State University, Raleigh, NC, USACorrespondence[email protected]
&
Seth SullivantDepartment of Mathematics, North Carolina State University, Raleigh, NC, USA
Pages 153-164 | Published online: 02 Aug 2016

References

  • [Bernstein and Sullivant 15] Daniel Irving Bernstein and Seth Sullivant. “Unimodular Binary Hierarchical Models.” ArXiv:1502.06131, 2015.
  • [Bruns et al. 11] Winfried Bruns, Raymond Hemmecke, Bogdan Ichim, Matthias Köppe, and Christof Söger. “Challenging Computations of Hilbert Bases of Cones Associated with Algebraic Statistics.” Exp. Math. 20:1 (2011), 25–33.
  • [Bruns et al.] Winfried Bruns, Bogdan Ichim, Tim Römer, and Christof Söger. “Normaliz.” Available online (http://www.home.uni-osnabrueck.de/wbruns/normaliz/).
  • [Hoşten and Sullivant 07] Serkan Hoşten and Seth Sullivant. “A Finiteness Theorem for Markov Bases of Hierarchical Models.” J. Combin. Theory Ser. A 114:2 (2007), 311–321.
  • [Ohsugi and Hibi 07] Hidefumi Ohsugi and Takayuki Hibi. “Toric Ideals Arising from Contingency Tables.” In Commutative Algebra and Combinatorics, Ramanujan Mathematical Society Lecture Note Series, 4, pp. 91–115, 2007.
  • [Ohsugi and Hibi 10] Hidefumi Ohsugi and Takayuki Hibi. “Non-Very Ample Configurations Arising from Contingency Tables.” Ann. Inst. Stat. Math. 62:4 (2010), 639–644.
  • [Rauh and Sullivant 14] Johannes Rauh and Seth Sullivant. “Lifting Markov Bases and Higher Codimension Toric Fiber Products.” arXiv:1404.6392, 2014.
  • [Santos and Sturmfels 03] Francisco Santos and Bernd Sturmfels. “Higher Lawrence Configurations.” J. Combin. Theory Ser. A 103:1 (2003), 151–164.
  • [Sturmfels 96] Bernd Sturmfels. Gröbner Bases and Convex Polytopes, Volume 8 of University Lecture Series. Providence, RI: American Mathematical Society, 1996.
  • [Sullivant 06] Seth Sullivant. “Compressed Polytopes and Statistical Disclosure Limitation.” Tohoku Math. J. 58:3 (2006), 433–445.
  • [Sullivant 10] Seth Sullivant. “Normal Binary Graph Models.” Ann. Inst. Stat. Math. 62:4 (2010), 717–726.

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