Results 131 to 140 of about 2,024 (222)
Variational properties of the abstract subdifferential operator
convexity generalises classical convexity by considering the suprema of functions taken from an arbitrarily defined set of functions. These are called the abstract linear (abstract affine) functions.
Ugon, Julien +2 more
core
Evolution problems with perturbed 1-Laplacian type operators on random walk spaces. [PDF]
Math AnnGórny W, Mazón JM, Toledo J.
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The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures. [PDF]
Calc Var Partial Differ Equ, 2022 Colesanti A, Ludwig M, Mussnig F.
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A new representation of a proximal subdifferential by employing a directional derivative
, 2011 Natural Science Foundation of Fujian Province of China [2010J05013]In this paper, a new representation of the proximal subdifferential of a nonsmooth function is presented by using a directional derivative.
Li, An, 李安
core
Second-order asymptotics of fractional Gagliardo seminorms as s → 1 - and convergence of the associated gradient flows. [PDF]
Fract Calc Appl AnalKubin A, Pagliari V, Tribuzio A.
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Off-the-grid regularisation for Poisson inverse problems. [PDF]
Comput Optim ApplLazzaretti M +3 more
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Subdifferentiation with symmetry
Given an objective function that is invariant under an action of a Lie group, we study how its subgradients relate to the orbits of the action. Our main finding is that they satisfy projection formulae analogous to those stemming from the Whitney and Verdier stratifications. If the function is definable in an o-minimal structure on the real field, then
openaire +2 more sources
Generalized Legendre Transforms Have Roots in Information Geometry. [PDF]
Entropy (Basel)Nielsen F.
europepmc +1 more source
Variable Smoothing for Weakly Convex Composite Functions. [PDF]
J Optim Theory Appl, 2021 Böhm A, Wright SJ.
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