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A NOVEL AUGMENTED LAGRANGIAN METHOD OF MULTIPLIERS FOR OPTIMIZATION WITH GENERAL INEQUALITY CONSTRAINTS 期刊论文
MATHEMATICS OF COMPUTATION, 2022, 页码: 30
作者:  Liu, Xin-Wei;  Dai, Yu-Hong;  Huang, Ya-Kui;  Sun, Jie
收藏  |  浏览/下载：87/0  |  提交时间：2023/02/07
Nonlinear programming  inequality-constrained optimization  augmented Lagrangian method of multipliers  strong global convergence  local convergence  
The augmented lagrangian method can approximately solve convex optimization with least constraint violation 期刊论文
MATHEMATICAL PROGRAMMING, 2022, 页码: 35
作者:  Dai, Yu-Hong;  Zhang, Liwei
收藏  |  浏览/下载：108/0  |  提交时间：2023/02/07
Convex optimization  Least constraint violation  Augmented Lagrangian method  Shifted problem  Optimal value mapping  Solution mapping  Dual function  Conjugate dual  
Study on convex optimization with least constraint violation under a general measure 期刊论文
OPTIMIZATION, 2022, 页码: 32
作者:  Dai, Yu-Hong;  Zhang, Liwei
收藏  |  浏览/下载：184/0  |  提交时间：2023/02/07
Convex optimization  measure function  least constraint violation  augmented Lagrangian method  shifted problem  
Normalized solutions to Schrodinger systems with linear and nonlinear couplings 期刊论文
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 卷号: 506, 期号: 1, 页码: 19
作者:  Yun, Zhaoyang;  Zhang, Zhitao
收藏  |  浏览/下载：115/0  |  提交时间：2022/04/02
Nonlinear Schrodinger systems  Normalized solutions  Ekland variational principle  Minimax principle  
Simultaneous dose and dose rate optimization (SDDRO) of the FLASH effect for pencil-beam-scanning proton therapy 期刊论文
MEDICAL PHYSICS, 2021, 页码: 12
作者:  Gao, Hao;  Liu, Jiulong;  Lin, Yuting;  Gan, Gregory N.;  Pratx, Guillem;  Wang, Fen;  Langen, Katja;  Bradley, Jeffrey D.;  Rotondo, Ronny L.;  Li, Harold H.;  Chen, Ronald C.
收藏  |  浏览/下载：135/0  |  提交时间：2022/04/02
dose rate optimization  FLASH dose modifying factor  IMPT  proton therapy  
Group-Sparse SVD Models via L-1- and L-0-norm Penalties and their Applications in Biological Data 期刊论文
IEEE TRANSACTIONS ON KNOWLEDGE AND DATA ENGINEERING, 2021, 卷号: 33, 期号: 2, 页码: 536-550
作者:  Min, Wenwen;  Liu, Juan;  Zhang, Shihua
收藏  |  浏览/下载：160/0  |  提交时间：2021/04/26
Sparse SVD  low-rank matrix decomposition  group-sparse penalty  overlapping group-sparse penalty  coordinate descent method  alternating direction method of multipliers (ADMM)  data mining  
EXACT PENALTY FUNCTION FOR \ell2,1 NORM MINIMIZATION OVER THE STIEFEL MANIFOLD 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2021, 卷号: 31, 期号: 4, 页码: 3097-3126
作者:  Xiao, Nachuan;  Liu, Xin;  Ya-Xiang Yuan
收藏  |  浏览/下载：108/0  |  提交时间：2022/04/02
orthogonality constraint  Stiefel manifold  nonsmooth optimization  augmented Lagrangian method  
Fast algorithms for sparse portfolio selection considering industries and investment styles 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2020, 页码: 27
作者:  Dong, Zhi-Long;  Xu, Fengmin;  Dai, Yu-Hong
收藏  |  浏览/下载：135/0  |  提交时间：2020/06/30
Portfolio selection  Industry classification  Style investment  ADMM  Sparse optimization  
LOW-RANK MATRIX ITERATION USING POLYNOMIAL-FILTERED SUBSPACE EXTRACTION 期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 3, 页码: A1686-A1713
作者:  Li, Yongfeng;  Liu, Haoyang;  Wen, Zaiwen;  Yuan, Ya-Xiang
收藏  |  浏览/下载：147/0  |  提交时间：2020/09/23
low-rank matrix iteration  eigenvalue decomposition  inexact optimization method  polynomial filter  subspace extraction  
A distributed quantile estimation algorithm of heavy-tailed distribution with massive datasets 期刊论文
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2020, 卷号: 18, 期号: 1, 页码: 214-230
作者:  Xie, Xiaoyue;  Shi, Jian
收藏  |  浏览/下载：103/0  |  提交时间：2021/04/26
distributed algorithm  big data  high quantile estimation  heavy-tailed distribution  Peak Over Threshold method