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» Convexity of the Proximal Average
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SIAMJO
2008
143views more  SIAMJO 2008»
13 years 4 months ago
The Proximal Average: Basic Theory
Abstract. The recently introduced proximal average of two convex functions is a convex function with many useful properties. In this paper, we introduce and systematically study th...
Heinz H. Bauschke, Rafal Goebel, Yves Lucet, Xianf...
JOTA
2011
80views more  JOTA 2011»
12 years 11 months ago
Convexity of the Proximal Average
Jennifer A. Johnstone, Valentin R. Koch, Yves Luce...
CORR
2011
Springer
261views Education» more  CORR 2011»
12 years 11 months ago
Convex and Network Flow Optimization for Structured Sparsity
We consider a class of learning problems regularized by a structured sparsity-inducing norm defined as the sum of 2- or ∞-norms over groups of variables. Whereas much effort ha...
Julien Mairal, Rodolphe Jenatton, Guillaume Obozin...
CDC
2008
IEEE
124views Control Systems» more  CDC 2008»
13 years 11 months ago
A proximal center-based decomposition method for multi-agent convex optimization
— In this paper we develop a new dual decomposition method for optimizing a sum of convex objective functions corresponding to multiple agents but with coupled constraints. In ou...
Ion Necoara, Johan A. K. Suykens
ICRA
2006
IEEE
90views Robotics» more  ICRA 2006»
13 years 10 months ago
A Performance Comparison of Three Algorithms for Proximity Queries Relative to Convex Polyhedra
— This paper presents a comparative analysis relative to the experimental performances of an asymptotically fast and incremental algorithm, recently developed to compute collisio...
Stefano Carpin, Claudio Mirolo, Enrico Pagello