Results 31 to 40 of about 2,908 (221)
Differentiable Randers‐Finsler Eikonal Solvers
Abstract Fast and differentiable solvers for anisotropic and asymmetric distance fields are a key primitive in geometry processing, enabling gradient‐based optimization over metrics, drift fields, and downstream objectives that depend on geodesic distances and geodesics.
Barak Gahtan +2 more
wiley +1 more source
ABSTRACT We develop a framework for regulated production systems where output generation and pollution abatement impose competing technological demands. Using a multi‐ware technology, we model the production set as the intersection of two input requirement frontiers, one for production and one for abatement, each reflecting distinct trade‐offs.
Youpei Yan, Robert G. Chambers
wiley +1 more source
The author gives a survey (with over 100 references) about the theory of Fréchet subdifferentiation in Banach spaces. After the definitions of Fréchet subdifferentials (and superdifferentials) of real-valued functions, Fréchet normal cones of sets and Fréchet coderivatives of set-valued mappings, the most important properties of these notions are ...
openaire +3 more sources
In this paper, we introduce a second-order strong subdifferential of set-valued maps, and discuss some properties, such as convexity, sum rule and so on.
Yuwen Zhai, Qilin Wang, Tian Tang
doaj +1 more source
Sparse Minimum Redundancy Maximum Relevance for Feature Selection
ABSTRACT We propose a feature screening method that integrates both feature–feature and feature–target relationships. Inactive features are identified via a penalized minimum Redundancy Maximum Relevance (mRMR) procedure, which is the continuous version of the classical mRMR penalized by a non‐convex regularizer, and where the parameters estimated as ...
Peter Naylor +3 more
wiley +1 more source
Efficient Automatic Subdifferentiation for Programs with Linear Branches
Computing an element of the Clarke subdifferential of a function represented by a program is an important problem in modern non-smooth optimization.
Sejun Park
doaj +1 more source
ABSTRACT Limit analysis and yield design provide a well‐defined mathematical framework for upscaling the strength properties of heterogeneous materials. These techniques can be incorporated into an FFT‐based computational micromechanics framework to evaluate the strength of heterogeneous materials, based on images of their microstructure.
Elodie Donval, Matti Schneider
wiley +1 more source
Subdifferential representation formula and subdifferential criteria for the behavior of nonsmooth functions [PDF]
Several kinds of behaviors of extended-real-valued lower semicontinuous functions are known to be equivalent to certain appropriate conditions in terms of the Clarke subdifferential.
Rafael Correa +5 more
core
Every proximal mapping is a resolvent of level proximal subdifferential
We propose a level proximal subdifferential for a proper lower semicontinuous function. Level proximal subdifferential is a uniform refinement of the well-known proximal subdifferential, and has the pleasant feature that its resolvent always coincides ...
Wang, Ziyuan, Wang, Xianfu
core
Vector subdifferentials and tangent cones
Following the Rockafellar's definition for the subdifferential of a real map we define a vector subdifferential using the normal cone to the epigraph of the function.
Cristina Stamate
doaj +2 more sources

