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Data‐driven performance metrics for neural network learning

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView., 2023
Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri   +2 more
wiley   +1 more source

Exact Strongly Coupled Fixed Point in $g\varphi^4$ Theory

open access: yes, 2015
We show explicitly how a strongly coupled fixed point can be constructed in scalar $g\varphi^4$ theory from the solutions to a non-linear eigenvalue problem.
Hegg, Anthony, Phillips, Philip W.
core   +1 more source

Hybrid steepest iterative algorithm for a hierarchical fixed point problem

open access: yesFixed Point Theory and Applications, 2017
The purpose of this work is to introduce and study an iterative method to approximate solutions of a hierarchical fixed point problem and a variational inequality problem involving a finite family of nonexpansive mappings on a real Hilbert space. Further,
Shamshad Husain, Nisha Singh
doaj   +1 more source

Decidability Results for the Boundedness Problem

open access: yes, 2014
We prove decidability of the boundedness problem for monadic least fixed-point recursion based on positive monadic second-order (MSO) formulae over trees.
Blumensath, Achim   +2 more
core   +1 more source

A General Algorithm for the Split Common Fixed Point Problem with Its Applications to Signal Processing

open access: yesMathematics, 2019
In 2014, Cui and Wang constructed an algorithm for demicontractive operators and proved some weak convergence theorems of their proposed algorithm to show the existence of solutions for the split common fixed point problem without using the operator norm.
Wachirapong Jirakitpuwapat   +3 more
semanticscholar   +1 more source

Existence, Data Dependence and Stability of Fixed Points of Multivalued Maps in Incomplete Metric Spaces

open access: yesAnnales Mathematicae Silesianae, 2023
In this paper we formulate a setvalued fixed point problem by combining four prevalent trends of fixed point theory. We solve the problem by showing that the set of fixed points is nonempty.
Choudhury Binayak S.   +3 more
doaj   +1 more source

Periodic travelling wave solutions of discrete nonlinear Schr\"odinger equations

open access: yes, 2017
The existence of nonzero periodic travelling wave solutions for a general discrete nonlinear Schr\"odinger equation (DNLS) on finite one-dimensional lattices is proved.
Hennig, Dirk
core   +2 more sources

A note on two fixed point problems

open access: yesJournal of Complexity, 2007
We extend the applicability of the Exterior Ellipsoid Algorithm for approximating n-dimensional fixed points of directionally nonexpanding functions. Such functions model many practical problems that cannot be formulated in the smaller class of globally nonexpanding functions.
Ch. Boonyasiriwat   +2 more
openaire   +2 more sources

A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory

open access: yesJournal of Function Spaces, 2016
We provide sufficient conditions for the existence of a unique common fixed point for a pair of mappings T,S:X→X, where X is a nonempty set endowed with a certain metric. Moreover, a numerical algorithm is presented in order to approximate such solution.
Ishak Altun   +4 more
doaj   +1 more source

Existence and Uniqueness of a Transient State for the Coupled Radiative-Conductive Heat Transfer Problem

open access: yes, 2018
This paper deals with existence and uniqueness results for a transient nonlinear radiative-conductive system in three-dimensional case. This system describes the heat transfer for a grey, semi-transparent and non-scattering medium with general boundary ...
Ghattassi, Mohamed   +2 more
core   +2 more sources

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