Zobrazeno 1 - 10
of 24 301
pro vyhledávání: '"Tikhonov, A. P."'
Autor:
Nguyen, Hai V., Bui-Thanh, Tan
Efficient real-time solvers for forward and inverse problems are essential in engineering and science applications. Machine learning surrogate models have emerged as promising alternatives to traditional methods, offering substantially reduced comput
Externí odkaz:
http://arxiv.org/abs/2412.07010
In a Hilbert framework, we consider an inertial Tikhonov regularized dynamical system governed by a maximally comonotone operator, where the damping coefficient is proportional to the square root of the Tikhonov regularization parameter. Under an app
Externí odkaz:
http://arxiv.org/abs/2411.19693
Autor:
Bot, Radu Ioan, Sonntag, Konstantin
In this paper we introduce, in a Hilbert space setting, a second order dynamical system with asymptotically vanishing damping and vanishing Tikhonov regularization that approaches a multiobjective optimization problem with convex and differentiable c
Externí odkaz:
http://arxiv.org/abs/2411.18422
In a real Hilbert space setting, we investigate the asymptotic behavior of the solutions of the classical Arrow-Hurwicz differential system combined with Tikhonov regularizing terms. Under some newly proposed conditions on the Tikhonov terms involved
Externí odkaz:
http://arxiv.org/abs/2411.17656
We introduce and investigate the asymptotic behaviour of the trajectories of a second order dynamical system with Tikhonov regularization for solving a monotone equation with single valued, monotone and continuous operator acting on a real Hilbert sp
Externí odkaz:
http://arxiv.org/abs/2411.17329
Autor:
Alvarez, Illych
This study examines second-order dynamical systems incorporating Tikhonov regularization. It focuses on how nonlinearities induce bifurcations and chaotic dynamics. By using Lyapunov functions, bifurcation theory, and numerical simulations, we identi
Externí odkaz:
http://arxiv.org/abs/2412.19003
The generalized singular value decomposition (GSVD) is a powerful tool for solving discrete ill-posed problems. In this paper, we propose a two-sided uniformly randomized GSVD algorithm for solving the large-scale discrete ill-posed problem with the
Externí odkaz:
http://arxiv.org/abs/2412.07478
This paper deals with a second-order primal-dual dynamical system with Hessian-driven damping and Tikhonov regularization terms in connection with a convex-concave bilinear saddle point problem. We first obtain a fast convergence rate of the primal-d
Externí odkaz:
http://arxiv.org/abs/2412.05931
In Hilbert spaces, we consider a Tikhonov regularized mixed-order primal-dual dynamical system for a convex optimization problem with linear equality constraints. The dynamical system with general time-dependent parameters: viscous damping and tempor
Externí odkaz:
http://arxiv.org/abs/2409.17493
Tikhonov regularized inertial primal-dual dynamics for convex-concave bilinear saddle point problems
In this paper, for a convex-concave bilinear saddle point problem, we propose a Tikhonov regularized second-order primal-dual dynamical system with slow damping, extrapolation and general time scaling parameters. Depending on the vanishing speed of t
Externí odkaz:
http://arxiv.org/abs/2409.05301