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math.OC2021★ 2 cited
Dualities for non-Euclidean smoothness and strong convexity under the light of generalized conjugacy
Emanuel Laude, Andreas Themelis, Panagiotis Patrinos
Relative smoothness and strong convexity have recently gained considerable attention in optimization. These notions are generalizations of the classical Euclidean notions of smooth…
math.OC2021
Lifting the Convex Conjugate in Lagrangian Relaxations: A Tractable Approach for Continuous Markov Random Fields
Hartmut Bauermeister, Emanuel Laude, Thomas Möllenhoff +2
Dual decomposition approaches in nonconvex optimization may suffer from a duality gap. This poses a challenge when applying them directly to nonconvex problems such as MAP-inferenc…