Zobrazeno 1 - 10
of 234
pro vyhledávání: '"Liu Xin Wei"'
Bilevel optimization problems, encountered in fields such as economics, engineering, and machine learning, pose significant computational challenges due to their hierarchical structure and constraints at both upper and lower levels. Traditional gradi
Externí odkaz:
http://arxiv.org/abs/2408.09661
Autor:
Liu, Xin-Wei, Dai, Yu-Hong
We consider the nonlinear optimization problem with least $\ell_1$-norm measure of constraint violations and introduce the concepts of the D-stationary point, the DL-stationary point and the DZ-stationary point with the help of exact penalty function
Externí odkaz:
http://arxiv.org/abs/2309.13816
Publikováno v:
Zhongguo quanke yixue, Vol 27, Iss 26, Pp 3281-3288 (2024)
Background In recent years, physical impairment (PI) combined with cognitive impairment (CI) is a common comorbidity in the elderly. An early detection of PI combined with CI in the elderly and timely interventions may help to improve the quality of
Externí odkaz:
https://doaj.org/article/5de038cf2c2f4c13abd34f004d54fb5b
Recent studies show that the two-dimensional quadratic termination property has great potential in improving performance of the gradient method. However, it is not clear whether higher-dimensional quadratic termination leads further benefits. In this
Externí odkaz:
http://arxiv.org/abs/2212.07255
We present a primal-dual majorization-minimization method for solving large-scale linear programs. A smooth barrier augmented Lagrangian (SBAL) function with strict convexity for the dual linear program is derived. The majorization-minimization appro
Externí odkaz:
http://arxiv.org/abs/2208.03672
We introduce a twice differentiable augmented Lagrangian for nonlinear optimization with general inequality constraints and show that a strict local minimizer of the original problem is an approximate strict local solution of the augmented Lagrangian
Externí odkaz:
http://arxiv.org/abs/2106.15044
A novel gradient stepsize is derived at the motivation of equipping the Barzilai-Borwein (BB) method with two dimensional quadratic termination property. A remarkable feature of the novel stepsize is that its computation only depends on the BB stepsi
Externí odkaz:
http://arxiv.org/abs/2010.12130
Variable metric proximal gradient methods with different metric selections have been widely used in composite optimization. Combining the Barzilai-Borwein (BB) method with a diagonal selection strategy for the metric, the diagonal BB stepsize can kee
Externí odkaz:
http://arxiv.org/abs/2010.00817
Based on solving an equivalent parametric equality constrained mini-max problem of the classic logarithmic-barrier subproblem, we present a novel primal-dual interior-point relaxation method for nonlinear programs with general equality and nonnegativ
Externí odkaz:
http://arxiv.org/abs/2007.10803
The Barzilai-Borwein (BB) gradient method is efficient for solving large-scale unconstrained problems to the modest accuracy and has a great advantage of being easily extended to solve a wide class of constrained optimization problems. In this paper,
Externí odkaz:
http://arxiv.org/abs/2001.02335