2 citations · 2 across the 4 of their papers we have counts for
5 papers · 1 filter
Parametrically prox-regular functions
Warren Hare, Chayne Planiden
Prox-regularity is a generalization of convexity that includes all C2, lower-C2, strongly amenable and primal-lower-nice functions. The study of prox-regular functions provides ins…
The NC-proximal average for multiple functions
Warren Hare, Chayne Planiden
The NC-proximal average is a parametrized function used to continuously transform one proper, lsc, prox-bounded function into another. Until now, it has been defined for two functi…
Proximal mappings and Moreau envelopes of single-variable convex piecewise cubic functions and multivariable gauge functions
Chayne Planiden, Xianfu Wang
This work presents a collection of useful properties of the Moreau envelope for finite-dimensional, proper, lower semicontinuous, convex functions. In particular, gauge functions a…
Epiconvergence, the Moreau envelope and generalized linear-quadratic functions
Chayne Planiden, Xianfu Wang
This work introduces the class of generalized linear-quadratic functions, constructed using maximally monotone symmetric linear relations. Calculus rules and properties of the More…
A proximal average for prox-bounded functions
Jiawei Chen, Xianfu Wang, Chayne Planiden
In this work, we construct a proximal average for two prox-bounded functions, which recovers the classical proximal average for two convex functions. The new proximal average trans…