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20112024
most citedRelative Interior Rule in Block-Coordinate Minimization

4 citations · 6 across the 6 of their papers we have counts for

collaborators

7 papers

cs.AI2024

Convergence of Some Convex Message Passing Algorithms to a Fixed Point

Vaclav Voracek, Tomas Werner

A popular approach to the MAP inference problem in graphical models is to minimize an upper bound obtained from a dual linear programming or Lagrangian relaxation by (block-)coordi…

math.OC2022★ 2 cited

Super-Reparametrizations of Weighted CSPs: Properties and Optimization Perspective

Tomáš Dlask, Tomáš Werner, Simon de Givry

The notion of reparametrizations of Weighted CSPs (WCSPs) (also known as equivalence-preserving transformations of WCSPs) is well-known and finds its use in many algorithms to appr…

math.OC2020

A Class of Linear Programs Solvable by Coordinate-Wise Minimization

Tomáš Dlask, Tomáš Werner

Coordinate-wise minimization is a simple popular method for large-scale optimization. Unfortunately, for general (non-differentiable) convex problems it may not find global minima.…

math.OC2019★ 4 cited

Relative Interior Rule in Block-Coordinate Minimization

Tomáš Werner, Daniel Průša

(Block-)coordinate minimization is an iterative optimization method which in every iteration finds a global minimum of the objective over a variable or a subset of variables, while…

math.OC2017

On Coordinate Minimization of Convex Piecewise-Affine Functions

Tomas Werner

A popular class of algorithms to optimize the dual LP relaxation of the discrete energy minimization problem (a.k.a.\ MAP inference in graphical models or valued constraint satisfa…

cs.LG2012

Primal View on Belief Propagation

Tomas Werner

It is known that fixed points of loopy belief propagation (BP) correspond to stationary points of the Bethe variational problem, where we minimize the Bethe free energy subject to…