Results 41 to 50 of about 1,032 (207)
The Continuity of Subdifferential Mapping
The authors discuss continuity of the subdifferential mapping of the gauge of a bounded convex set with the origin an interior point and find a single-valuedness criterion for the mapping.
Wang, Jian-Hua, Nan, Chao-Xun
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Closedness type regularity conditions in convex optimization and beyond
The closedness type regularity conditions have proven during the last decade to be viable alternatives to their more restrictive interiority type counterparts, in both convex optimization and different areas where it was successfully applied.
Sorin-Mihai Grad
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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
Approximate subdifferentials and applications. I. The finite-dimensional theory
We introduce and study a new class of subdifferentials associated with arbitrary functions. Among the questions considered are: connection with other derivative-like objects (e.g.
A. D. Ioffe
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This paper develops a mathematical approach to the analysis of the stability of economic equilibria in nonsmooth models. The λ-Hölder apparatus of subdifferentials is used, which extends the class of systems under study beyond traditional smooth ...
Anna V. Aleshina +3 more
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New concepts of generalized (ρ,θ)-η invex functions for non-differentiable functions and generalized (ρ,θ)-η invariant monotone operators for set-valued mappings are introduced.
Caiping Liu, Xinmin Yang
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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
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Subdifferentials of distance functions in Banach spaces. [PDF]
Ng, Kwong Wing.Thesis (M.Phil.)--Chinese University of Hong Kong, 2010.Includes bibliographical references (p. 123-126).Abstracts in English and Chinese.Abstract --- p.iAcknowledgments --- p.iiiContents --- p.vIntroduction --- p.viiChapter 1 ...
core
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
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Existence for Nonlinear Evolution Equations and Application to Degenerate Parabolic Equation
We consider an abstract Cauchy problem for a doubly nonlinear evolution equation of the form d/dt𝒜u+ℬu∋ft in V′, t∈0, T, where V is a real reflexive Banach space, 𝒜 and ℬ are maximal monotone operators (possibly multivalued) from V to its dual V′.
Ning Su, Li Zhang
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