7 citations · 12 across the 4 of their papers we have counts for
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math.ST2004
Solving the Likelihood Equations
Serkan Hosten, Amit Khetan, Bernd Sturmfels
Given a model in algebraic statistics and some data, the likelihood function is a rational function on a projective variety. Algebraic algorithms are presented for computing all cr…
math.AG2004
The Maximum Likelihood Degree
Fabrizio Catanese, Serkan Hosten, Amit Khetan +1
Maximum likelihood estimation in statistics leads to the problem of maximizing a product of powers of polynomials. We study the algebraic degree of the critical equations of this o…
math.CO2004
A finiteness theorem for Markov bases of hierarchical models
Serkan Hosten, Seth Sullivant
We show that the complexity of the Markov bases of multidimensional tables stabilizes eventually if a single table dimension is allowed to vary. In particular, if this table dimens…