Results 11 to 20 of about 18,872 (309)

A Variational Formulation for the Multilayer Perceptron [PDF]

open access: yes, 2006
In this work we present a theory of the multilayer perceptron from the perspective of functional analysis and variational calculus. Within this formulation, the learning problem for the multilayer perceptron lies in terms of finding a function which is an extremal for some functional.
Roberto Lopez, Eugenio Oñate
openaire   +3 more sources

Aspects of the Schwinger multichannel variational formulation [PDF]

open access: yesPhysical Review A, 1988
We present a discussion which should be helpful in clarifying some key steps in the formulation of a multichannel extension of Schwinger’s variational principle for electron-molecule collisions [K. Takatsuka and V. McKoy, Phys. Rev. A 30, 1734 (1984)].
Lima, M. A. P., McKoy, V.
openaire   +5 more sources

Variational quantum solver employing the PDS energy functional [PDF]

open access: yesQuantum, 2021
Recently a new class of quantum algorithms that are based on the quantum computation of the connected moment expansion has been reported to find the ground and excited state energies.
Bo Peng, Karol Kowalski
doaj   +1 more source

Mixed Variational Inequality Problem Involving Generalized Yosida Approximation Operator in q-Uniformly Smooth Banach Space

open access: yesJournal of Mathematics, 2022
A mixed variational inequality problem involving generalized Yosida approximation operator is considered and studied in q-uniformly smooth Banach space.
Arvind Kumar Rajpoot   +3 more
doaj   +1 more source

A Variational Principle for a Nonlinear Oscillator Arising in the ‎Microelectromechanical System [PDF]

open access: yesJournal of Applied and Computational Mechanics, 2021
A nonlinear oscillator arising in the microelectromechanical system is complex and it is difficult to obtain a variational principle. This paper begins with a wrong variational formulation and uses the semi-inverse method to obtain a genuine variational ...
Ji-Huan He   +2 more
doaj   +1 more source

A Variational Formulation for Discrete Registration [PDF]

open access: yes, 2013
We present a novel variational formulation of discrete deformable registration as the minimization of a convex energy functional that involves diffusion regularization. We show that a finite difference solution (FD) of the variational formulation is equivalent to a continuous-valued Gaussian Markov random field (MRF) energy minimization formulation ...
Karteek Popuri   +2 more
openaire   +2 more sources

On duality principles and related convex dual formulations suitable for local and global non-convex variational optimization

open access: yesNonlinear Engineering, 2023
This article develops duality principles, a related convex dual formulation and primal dual formulations suitable for the local and global optimization of non convex primal formulations for a large class of models in physics and engineering.
Botelho Fabio Silva
doaj   +1 more source

Spectral discretization of the time-dependent Navier-Stokes problem with mixed boundary conditions

open access: yesAdvances in Nonlinear Analysis, 2022
In this work, we handle a time-dependent Navier-Stokes problem in dimension three with a mixed boundary conditions. The variational formulation is written considering three independent unknowns: vorticity, velocity, and pressure.
Abdelwahed Mohamed, Chorfi Nejmeddine
doaj   +1 more source

Variational Methods for Nonsmooth Mechanics [PDF]

open access: yes, 2003
In this thesis we investigate nonsmooth classical and continuum mechanics and its discretizations by means of variational numerical and geometric methods.
Fetecau, Razvan Constantin
core   +1 more source

Existence‎ Solution for‎ ‎a Non-smooth System [PDF]

open access: yesMathematics Interdisciplinary Research
‎A variational method for a mixed boundary value problem in mathematical physics is considered‎. ‎Using two-field Lagrange multipliers‎, ‎we would investigate a variational formulation containing a mixed variational problem which is equivalent with a ...
Maisam Alizadeh   +2 more
doaj   +1 more source

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