Results 11 to 20 of about 823,067 (286)
Variational convergence of discrete minimal surfaces [PDF]
Numerische Mathematik, 2018 Building on and extending tools from variational analysis, we prove Kuratowski convergence of sets of simplicial area minimizers to minimizers of the smooth Douglas-Plateau problem under simplicial refinement. This convergence is with respect to a topology that is stronger than uniform convergence of both positions and surface normals.
Henrik Schumacher, Max Wardetzky
core +8 more sources
On the convergence of the variational iteration method [PDF]
Journal of Numerical Analysis and Approximation Theory, 2016 Convergence results are stated for the variational iteration method applied to solve an initial value problem for a system of ordinary differential equations.
Ernest Scheiber
openaire +5 more sources
On the Convergence of Bregman ADMM With Variational Inequality [PDF]
IEEE Access, 2020 The alternating direction method of multipliers (ADMM) is one of most foundational algorithms for linear constrained composite minimization problems. For different specific problems, variations of ADMM (like linearized ADMM, proximal ADMM) are developed.
Peibing Du, Hao Jiang
doaj +3 more sources
Theoretical Convergence Guarantees for Variational Autoencoders
CoRRVariational Autoencoders (VAE) are popular generative models used to sample from complex data distributions. Despite their empirical success in various machine learning tasks, significant gaps remain in understanding their theoretical properties, particularly regarding convergence guarantees.
Sobihan Surendran +2 more
openaire +5 more sources
Variational convergence of discrete elasticae [PDF]
IMA Journal of Numerical Analysis, 2020 AbstractWe discuss a discretization of the Euler–Bernoulli bending energy and of Euler elasticae under clamped boundary conditions by polygonal lines. We show Hausdorff convergence of the set of almost minimizers of the discrete bending energy to the set of smooth Euler elasticae under mesh refinement in (i) the $W^{1,\infty }$-topology for piecewise ...
Scholtes, Sebastian +2 more
openaire +3 more sources
A New Variational Inequality with its Application [PDF]
, 2009 In this paper, we suggest the iterative algorithm for a variational inequality by using the auxiliary principle technique, which is closely related to the optimal boundary control of time-varying population system with age-dependence and spatial ...
Shi, Chao-Feng
core +3 more sources
A Predictor-Corrector Methods for Mixed Inverse Variational Inequalities [PDF]
, 2009 In this paper, a class of mixed inverse variational inequalities is introduced and studied. We prove the existence of the solution of the auxiliary problem for mixed inverse variational inequalities, suggest a predictor-corrector method for solving the ...
Shi, Chaofeng
core +3 more sources
Accelerating variational quantum eigensolver convergence using parameter transfer [PDF]
, 2023 One impediment to the useful application of variational quantum algorithms in quantum chemistry is slow convergence with large numbers of classical optimization parameters.
Lolur, Phalgun, +15 more
core +1 more source
Young measures in a nonlocal phase transition problem [PDF]
, 1997 A nonlocal variational problem modelling phase transitions is studied in the framework of Young measures. The existence of global minimisers among functions with internal layers on an infinite tube is proved by combining a weak convergence result ...
Winter, M +5 more
core +4 more sources
Variational Convergence of Bifunctions: Motivating Applications [PDF]
SIAM Journal on Optimization, 2014 It is shown that a number of variational and equilibrium problems can be cast as finding the maxinf-points or minsup-points of bivariate functions, for short, bifunctions. These problems include linear and nonlinear complementarity problems, fixed points, variational inequalities, inclusions, noncooperative games, and Walras and Nash equilibrium ...
Jofre, Alejandro, Wets, Roger J. -B.
openaire +3 more sources