# Closed convex function

In mathematics, a function is said to be closed if for each , the sublevel set is a closed set. Equivalently, if the epigraph defined by is closed…
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## Papers overview

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2019
2019
• SIAM J. Optim.
• 2019
• Corpus ID: 117728691
In this paper, we study accelerated Regularized Newton Methods for minimizing objectives formed as a sum of two functions: one is…
2019
2019
• Math. Program.
• 2019
• Corpus ID: 724294
For a symmetric positive semidefinite linear system of equations $$\mathcal{Q}{{\varvec{x}}}= {{\varvec{b}}}$$Qx=b, where…
Highly Cited
2018
Highly Cited
2018
• Comput. Optim. Appl.
• 2018
• Corpus ID: 4339491
We consider a class of difference-of-convex (DC) optimization problems whose objective is level-bounded and is the sum of a…
Highly Cited
2016
Highly Cited
2016
• SIAM Rev.
• 2016
• Corpus ID: 2609542
In this paper we study distributionally robust constraints on risk measures (such as standard deviation less the mean…
Highly Cited
2015
Highly Cited
2015
• NIPS
• 2015
• Corpus ID: 6661061
We study accelerated mirror descent dynamics in continuous and discrete time. Combining the original continuous-time motivation…
Review
2009
Review
2009
• Y. Lucet
• SIAM J. Optim.
• 2009
• Corpus ID: 1676762
Computational convex analysis algorithms have been rediscovered several times in the past by researchers from different fields…
Review
2005
Review
2005
• Math. Program.
• 2005
• Corpus ID: 2473075
Due to their axiomatic foundation and their favorable computational properties convex risk measures are becoming a powerful tool…
2005
2005
• Math. Oper. Res.
• 2005
• Corpus ID: 11568399
In order to minimize a closed convex function that is approximated by a sequence of better behaved functions, we investigate the…
1996
1996
Let X be a real Hilbert space endowed with inner product 〈., .〉 and associated norm ‖.‖, and let f be a proper closed convex…
Highly Cited
1974
Highly Cited
1974
Kuhn-Tucker condition (0, 0) e dK(x, y) into a more explicit and familiar form. Writing where -k(y) = /0(x) + ylfl(x…