Results 41 to 50 of about 810 (214)
Total Variation Regularized GRACE(‐FO) Inversion
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
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
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 energythe total variation.
Yoshikazu Giga +2 more
doaj +1 more source
What are the carbon services from cover‐crop adoption worth from farmers' perspective?
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
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
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
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
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
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
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

