Results 41 to 50 of about 810 (214)

Total Variation Regularized GRACE(‐FO) Inversion

open access: yesJournal of Geophysical Research: Solid Earth, Volume 131, Issue 5, May 2026.
Abstract Gravity estimation from satellite‐satellite tracking missions such as GRACE(‐FO) is an ill‐posed inverse problem. The conventional approach to regularized inversion of GRACE(‐FO) measurements uses L2 ${L}_{2}$‐Tikhonov regularization with a heuristic constraint matrix derived based on knowledge of spatiotemporal distribution of the signal ...
G. Jacob   +4 more
wiley   +1 more source

Calculus of directional subdifferentials and coderivatives in Banach spaces

open access: yes, 2017
In this work we study the directional versions of Mordukhovich normal cones to nonsmooth sets, coderivatives of set-valued mappings, and subdifferentials of extended-real-valued functions in the framework of general Banach spaces.
Wang, Bingwu, Long, Pujun, Yang, Xinmin
core   +1 more source

Local solvability of a constrainedgradient system of total variation

open access: yesAbstract and Applied Analysis, 2004
A 1-harmonic map flow equation, a gradient system of total variation where values of unknowns are constrained in a compact manifold in ℝN, is formulated by the use of subdifferentials of a singular energy—the total variation.
Yoshikazu Giga   +2 more
doaj   +1 more source

What are the carbon services from cover‐crop adoption worth from farmers' perspective?

open access: yesAmerican Journal of Agricultural Economics, Volume 108, Issue 3, Page 901-925, May 2026.
Abstract We derive shadow prices of carbon services provided by cover crops relative to non‐cover‐crop agricultural practices, accounting for carbon sequestration and greenhouse gas (GHG) emissions. We model the agricultural technology by integrating crop production, carbon sequestration, and GHG emissions.
Saurav Raj Kunwar   +3 more
wiley   +1 more source

Optimality conditions in nonconvex optimization via weak subdifferentials

open access: yes, 2011
In this paper we study optimality conditions for optimization problems described by a special class of directionally differentiable functions. The well-known necessary and sufficient optimality condition of nonsmooth convex optimization, given in the ...
Musa Mammadov (13085340)   +1 more
core   +2 more sources

On Bounds for Norms of Reparameterized ReLU Artificial Neural Network Parameters: Sums of Fractional Powers of the Lipschitz Norm Control the Network Parameter Vector

open access: yesMathematical Methods in the Applied Sciences, Volume 49, Issue 4, Page 2135-2160, 15 March 2026.
ABSTRACT It is an elementary fact in the scientific literature that the Lipschitz norm of the realization function of a feedforward fully connected rectified linear unit (ReLU) artificial neural network (ANN) can, up to a multiplicative constant, be bounded from above by sums of powers of the norm of the ANN parameter vector.
Arnulf Jentzen, Timo Kröger
wiley   +1 more source

Subdifferentials, faces, and dual matrices

open access: yes, 1993
A characterization of the dual matrices for the unitarily invariant norms is given. Moreover, the connection between the dual matrices, the subdifferentials of matrix norms, and the faces of the unit ball of matrices is ...
Ziȩtak, K.
core   +1 more source

Almost periodic solutions of differential inclusions governed by subdifferentials

open access: yesElectronic Journal of Differential Equations, 2016
Sufficient conditions are given to ensure the existence and eventually the uniqueness of bounded and almost periodic solutions of evolution equations governed by subdifferential operators.
Karim El Mufti
doaj  

A Proposal of Smooth Interpolation to Optimal Transport for Restoring Biased Data for Algorithmic Fairness

open access: yesApplied Stochastic Models in Business and Industry, Volume 42, Issue 2, March/April 2026.
ABSTRACT The so‐called algorithmic bias is a hot topic in the decision‐making process based on Artificial Intelligence, especially when demographics, such as gender, age or ethnic origin, come into play. Frequently, the problem is not only in the algorithm itself, but also in the biased data that feed the algorithm, which is just the reflection of the ...
Elena M. De‐Diego   +2 more
wiley   +1 more source

Time dependent evolution inclusions governed by the difference of two subdifferentials

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2012
The purpose of this paper is to study evolution inclusions involving time dependent subdifferential operators which are non-monotone. More precisely, we study existence of solutions for the following evolution equation in a real Hilbert space $X$~: $u ...
S. Guillaume
doaj   +1 more source

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