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pro vyhledávání: '"Talaska, Kelli"'
Autor:
Talaska, Kelli, Williams, Lauren
Publikováno v:
Algebra Number Theory 7 (2013) 2275-2311
Deodhar introduced his decomposition of partial flag varieties as a tool for understanding Kazhdan-Lusztig polynomials. The Deodhar decomposition of the Grassmannian is also useful in the context of soliton solutions to the KP equation, as shown by K
Externí odkaz:
http://arxiv.org/abs/1210.5433
Gaussian graphical models are parametric statistical models for jointly normal random variables whose dependence structure is determined by a graph. In previous work, we introduced trek separation, which gives a necessary and sufficient condition in
Externí odkaz:
http://arxiv.org/abs/1210.0390
Autor:
Talaska, Kelli
We find rational expressions for all minors of the weighted path matrix of a directed graph, generalizing the classical Lindstrom/Gessel-Viennot result for acyclic directed graphs. The formulas are given in terms of certain flows in the graph.
Externí odkaz:
http://arxiv.org/abs/1202.3128
Publikováno v:
Annals of Statistics 2010, Vol. 38, No. 3, 1665-1685
Gaussian graphical models are semi-algebraic subsets of the cone of positive definite covariance matrices. Submatrices with low rank correspond to generalizations of conditional independence constraints on collections of random variables. We give a p
Externí odkaz:
http://arxiv.org/abs/0812.1938
Autor:
Talaska, Kelli
Postnikov constructed a decomposition of a totally nonnegative Grassmannian into positroid cells. We provide combinatorial formulas that allow one to decide which cell a given point belongs to and to determine affine coordinates of the point within t
Externí odkaz:
http://arxiv.org/abs/0812.0640
Autor:
Talaska, Kelli
Publikováno v:
Int Math Res Notices (2008) Vol. 2008, article ID rnn081, 19 pages, published on July 24, 2008.
For a planar directed graph G, Postnikov's boundary measurement map sends positive weight functions on the edges of G onto the appropriate totally nonnegative Grassmann cell. We establish an explicit formula for Postnikov's map by expressing each Plu
Externí odkaz:
http://arxiv.org/abs/0801.4822
Publikováno v:
In Advances in Applied Mathematics May 2013 50(5):661-674
Publikováno v:
The Annals of Statistics, 2010 Jun 01. 38(3), 1665-1685.
Externí odkaz:
https://www.jstor.org/stable/20744467
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