A Relationship Between Arbitrary Positive Matrices and Doubly Stochastic Matrices
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This article is published in Annals of Mathematical Statistics.The article was published on 1964-06-01 and is currently open access. It has received 1004 citations till now. The article focuses on the topics: Matrix (mathematics) & Doubly stochastic matrix.read more
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A new point matching algorithm for non-rigid registration
Haili Chui,Anand Rangarajan +1 more
TL;DR: An algorithm--the TPS-RPM algorithm--with the thin-plate spline (TPS) as the parameterization of the non-rigid spatial mapping and the softassign for the correspondence is developed.
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Computational Optimal Transport
Gabriel Peyré,Marco Cuturi +1 more
TL;DR: This short book reviews OT with a bias toward numerical methods and their applications in data sciences, and sheds lights on the theoretical properties of OT that make it particularly useful for some of these applications.
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The concave-convex procedure
Alan L. Yuille,Anand Rangarajan +1 more
TL;DR: It is proved that all expectation-maximization algorithms and classes of Legendre minimization and variational bounding algorithms can be reexpressed in terms of CCCP.
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A graduated assignment algorithm for graph matching
Steven Gold,Anand Rangarajan +1 more
TL;DR: A graduated assignment algorithm for graph matching is presented which is fast and accurate even in the presence of high noise, and not restricted to any special class of graph, is applied to subgraph isomorphism, weighted graph matching, and attributed relational graph matching.
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Concerning nonnegative matrices and doubly stochastic matrices
Richard Sinkhorn,Paul Knopp +1 more
TL;DR: In this article, the condition for the convergence to a doubly stochastic limit of a sequence of matrices obtained from a nonnegative matrix A by alternately scaling the rows and columns of A was studied.
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Book
Finite Markov chains
John G. Kemeny,J. Laurie Snell +1 more
TL;DR: This lecture reviews the theory of Markov chains and introduces some of the high quality routines for working with Markov Chains available in QuantEcon.jl.