Results 21 to 30 of about 36,338,648 (351)

Combined effects for a class of fractional variational inequalities [PDF]

Opuscula Mathematica
In this paper, we study the existence of a nonnegative weak solution to the following nonlocal variational inequality: \[\int_{\mathbb{R}^N}(-\Delta)^{\frac{s}{2}} u (-\Delta)^{{\frac{s}{2}}}(v-u)dx+\int_{\mathbb{R}^N}(1+\lambda M(x))u(v-u)dx \geq \int_{\
Shengbing Deng, Wenshan Luo, César E. Torres Ledesma   +2 more
doaj   +1 more source

Penalty methods for a variational quantum eigensolver

Physical Review Research, 2021
The variational quantum eigensolver (VQE) is a promising algorithm to compute eigenstates and eigenenergies of a given quantum system that can be performed on a near-term quantum computer.
Kohdai Kuroiwa, Yuya O. Nakagawa
doaj   +1 more source

Variational subspace methods and application to improving variational Monte Carlo dynamics [PDF]

Quantum
We present a formalism that allows for the direct manipulation and optimization of subspaces, circumventing the need to optimize individual states when using subspace methods.
Adrien Kahn, Luca Gravina, Filippo Vicentini   +2 more
doaj   +1 more source

To what extent is your data assimilation scheme designed to find the posterior mean, the posterior mode or something else?

Tellus: Series A, Dynamic Meteorology and Oceanography, 2016
Recently there has been a surge in interest in coupling ensemble-based data assimilation methods with variational methods (commonly referred to as 4DVar).
Daniel Hodyss, Craig H. Bishop, Matthias Morzfeld   +2 more
doaj   +1 more source

Variational Integrators [PDF]

, 2004
Variational integrators are a class of discretizations for mechanical systems which are derived by discretizing Hamilton's principle of stationary action.
West, Matthew
core   +1 more source

Variational Methods in Surface Parameterization [PDF]

, 2005
A surface parameterization is a function that maps coordinates in a 2-dimensional parameter space to points on a surface. This thesis investigates two kinds of parameterizations for surfaces that are disc-like in shape.
Litke, Nathan Jacob
core   +1 more source

Variational Methods for Atoms and the Virial Theorem

Atoms, 2022
In the case of the one-electron Dirac equation with a point nucleus, the virial theorem (VT) states that the ratio of the kinetic energy to potential energy is exactly −1, a ratio that can be an independent test of the accuracy of a computed solution ...
Charlotte Froese Fischer, Michel Godefroid   +1 more
doaj   +1 more source

On a variation of Sands′ method [PDF]

International Journal of Mathematics and Mathematical Sciences, 1986
A subset of a finite additive abelian group G is a Z‐set if for all a ∈ G, na ∈ G for all n ∈ Z. The group G is called “Z‐good” if in every factorization G = A ⊕ B, where A and B are Z‐sets at least one factor is periodic. Otherwise G is called “Z‐bad.”The purpose of this paper is to investigate factorizations of finite ablian groups which arise from a
openaire   +3 more sources

Modeling Variational Inpainting Methods With Splines

Frontiers in Applied Mathematics and Statistics, 2019
Mathematical methods of image inpainting often involve the discretization of a given continuous model. Typically, this is done by a pointwise discretization.
Florian Boßmann, Tomas Sauer, Nada Sissouno   +2 more
doaj   +1 more source

A variational perspective on accelerated methods in optimization [PDF]

Proceedings of the National Academy of Sciences of the United States of America, 2016
Significance Optimization problems arise naturally in statistical machine learning and other fields concerned with data analysis. The rapid growth in the scale and complexity of modern datasets has led to a focus on gradient-based methods and also on the
Andre Wibisono, Ashia C. Wilson, Michael I. Jordan   +2 more
semanticscholar   +1 more source