Proximity control in bundle methods for convex
Mathematical Programming: Series A and B
Approximations in proximal bundle methods and decomposition of convex programs
Journal of Optimization Theory and Applications
Mathematical Programming: Series A and B
New variants of bundle methods
Mathematical Programming: Series A and B
Non-smoothness in classification problems
Optimization Methods & Software - THE JOINT EUROPT-OMS CONFERENCE ON OPTIMIZATION, 4-7 JULY, 2007, PRAGUE, CZECH REPUBLIC, PART I
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We give a proximal level method for convex minimization that uses projections onto successive approximations of level sets of the objective. In contrast to the original level methods of Lemarechal, Nemirovskii and Nesterov, our method is globally convergent without any compactness assumptions and requires bounded storage. It does not employ potentially expensive linesearches as does the level method of Brannlund.