Results 61 to 70 of about 197 (157)

Nonmonotone equilibrium problems: coercivity conditions and weak regularization

open access: yes
Equilibrium problems, Nonmonotone bifunctions, Coercivity conditions, Regularization method, Existence of solutions, 90C33, 49J40, 47J20, 65K10, 65J20,
D. Dyabilkin, I. Konnov
core   +1 more source

A New Conjugate Gradient Coefficient for Large Scale Nonlinear Unconstrained Optimization [PDF]

open access: yes, 2012
Conjugate gradient (CG) methods have played an important role in solving largescale unconstrained optimization due to its low memory requirements and global convergence properties.
June   +7 more
core  

GENERALIZED NONLINEAR VARIATIONAL INEQUALITIES [PDF]

open access: yes, 2014
. In this paper, we consider a generalized nonlinear variational inequality problem involving single valued and multivalued nonlinear operators. We also study criteria of its solvability. Iterative methods for approximate solution are also proposed and a
Suja Varghese, Balwant Singh Thakur
core  

Consensus-based optimisation with truncated noise

open access: yesEuropean Journal of Applied Mathematics
Consensus-based optimisation (CBO) is a versatile multi-particle metaheuristic optimisation method suitable for performing non-convex and non-smooth global optimisations in high dimensions.
Massimo Fornasier   +3 more
doaj   +1 more source

The mathematics of adversarial attacks in AI – why deep learning is unstable despite the existence of stable neural networks

open access: yesEuropean Journal of Applied Mathematics
The unprecedented success of deep learning (DL) makes it unchallenged when it comes to classification problems. However, it is well established that the current DL methodology produces universally unstable neural networks (NNs).
Alexander Bastounis   +2 more
doaj   +1 more source

An Iterative Procedure for Solving Nonsmooth Generalized Equation [PDF]

open access: yes, 2008
2000 Mathematics Subject Classification: 47H04, 65K10.In this article, we study a general iterative procedure of the following form 0 ∈ f(xk)+F(xk+1), where f is a function and F is a set valued map acting from a Banach space X to a linear normed space Y,
Marinov, Rumen Tsanev
core  

Optimization applications of Goldbach's conjecture. [PDF]

open access: yesHeliyon, 2023
Lin BMT, Lin SM, Shyu SJ.
europepmc   +1 more source

A Fixed Point Theorem for Discontinuous Functions [PDF]

open access: yes
AMS classifications: 54H25, 65K10, 49J53, 68W25Fixed point;simplicial subdivision;discontinuity ...
Herings, P.J.J.   +3 more
core  

T. Chu Projected pseudo-transient continuation

open access: yes, 2007
. We propose and analyze a pseudo-transient continuation algorithm for dynamics on subsets of R N. Examples include certain flows on manifolds and the dynamic formulation of bound-constrained optimization problems.
Liqun Qi   +5 more
core  

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