1 citations · 3 across the 9 of their papers we have counts for
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Algebraic Geometry of Quantum Graphical Models
Eliana Duarte, Dmitrii Pavlov, Maximilian Wiesmann
Algebro-geometric methods have proven to be very successful in the study of graphical models in statistics. In this paper we introduce the foundations to carry out a similar study…
Combinatorics of Grasstopes
Yelena Mandelshtam, Dmitrii Pavlov, Elizabeth Pratt
A Grasstope is the image of the totally nonnegative Grassmannian under a linear map . This is a generaliza…
On real and observable rational realizations of input-output equations
Sebastian Falkensteiner, Dmitrii Pavlov, Rafael Sendra
Given a single (differential-algebraic) input-output equation, we present a method for finding different representations of the associated system in the form of rational realizatio…
Logarithmically Sparse Symmetric Matrices
Dmitrii Pavlov
A positive definite matrix is called logarithmically sparse if its matrix logarithm has many zero entries. Such matrices play a significant role in high-dimensional statistics and…