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A Minibatch Proximal Stochastic Recursive Gradient Algorithm Using a Trust-Region-Like Scheme and Barzilai-Borwein Stepsizes 期刊论文
IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS, 2021, 卷号: 32, 期号: 10, 页码: 4627-4638
作者:  Yu, Tengteng;  Liu, Xin-Wei;  Dai, Yu-Hong;  Sun, Jie
收藏  |  浏览/下载：118/0  |  提交时间：2022/04/02
Convergence  Convex functions  Risk management  Gradient methods  Learning systems  Sun  Barzilai-Borwein (BB) method  empirical risk minimization (ERM)  proximal method  stochastic gradient  trust-region  
Dual-density-based reweighted l(1)-algorithms for a class of l(0)-minimization problems 期刊论文
JOURNAL OF GLOBAL OPTIMIZATION, 2021, 页码: 24
作者:  Xu, Jialiang;  Zhao, Yun-Bin
收藏  |  浏览/下载：175/0  |  提交时间：2021/06/01
Merit functions for sparsity  l(0)-minimization  Dual-density-based algorithm  Strict complementarity  Bilevel optimization  Convex relaxation  
Adaptive Exact Penalty Design for Constrained Distributed Optimization 期刊论文
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 卷号: 64, 期号: 11, 页码: 4661-4667
作者:  Zhou, Hongbing;  Zeng, Xianlin;  Hong, Yiguang
收藏  |  浏览/下载：125/0  |  提交时间：2020/05/24
Optimization  Distributed algorithms  Linear programming  Convex functions  Adaptive control  Convergence  Adaptive algorithms  Adaptive algorithm  convex and nondifferentiable function  distributed optimization  exact penalty method  
DISTRIBUTED CONTINUOUS-TIME ALGORITHMS FOR NONSMOOTH EXTENDED MONOTROPIC OPTIMIZATION PROBLEMS 期刊论文
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2018, 卷号: 56, 期号: 6, 页码: 3973-3993
作者:  Zeng, Xianlin;  Yi, Peng;  Hong, Yiguang;  Xie, Lihua
收藏  |  浏览/下载：167/0  |  提交时间：2019/03/05
extended monotropic optimization  distributed algorithms  nonsmooth convex functions  decomposition methods  differential inclusions  
Characterizations of semi-prequasi-invexity 期刊论文
JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2014, 卷号: 27, 期号: 5, 页码: 1008-1026
作者:  Zhao Yingxue;  Meng Xiaoge;  Qiao Han;  Wang Shouyang;  Coladas Uria Luis
收藏  |  浏览/下载：105/0  |  提交时间：2021/01/14
PREINVEX FUNCTIONS  GENERALIZED CONVEXITY  SETS  Convex programming  dense  semi-prequasi-invex function  strictly semi-prequasi-invex function  strongly semi-prequasi-invex function  
NON-CONVEXITY OF THE DIMENSION FUNCTION FOR SIERPINSKI PEDAL TRIANGLES 期刊论文
FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2010, 卷号: 18, 期号: 2, 页码: 191-195
作者:  Ding, Jiu;  Tang, Yifa
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
Sierpinski Pedal Triangles  Sierpinski Triangle  Moran Equation  Fractal Dimension  Schur-Convex Functions  Convex Functions  
Characterizations of r-Convex Functions 期刊论文
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2010, 卷号: 145, 期号: 1, 页码: 186-195
作者:  Zhao, Y. X.;  Wang, S. Y.;  Coladas Uria, L.
收藏  |  浏览/下载：101/0  |  提交时间：2018/07/30
Strict r-convexity  r-convexity  Positive-semidefinite matrices  Positive-definite matrices  Convex functions  Quasiconvex functions  
Optimality conditions for multiple objective fractional subset programming with (Gamma, rho, sigma, theta)-V-type-I and related non-convex functions 期刊论文
MATHEMATICAL AND COMPUTER MODELLING, 2008, 卷号: 48, 期号: 7-8, 页码: 1201-1212
作者:  Mishra, S. K.;  Wang, S. Y.;  Lai, K. K.
收藏  |  浏览/下载：96/0  |  提交时间：2018/07/30
multiple objective fractional subset programming  generalized n-set convex functions  optimality conditions  
On convexity of generalized Wigner-Yanase-Dyson information 期刊论文
LETTERS IN MATHEMATICAL PHYSICS, 2008, 卷号: 83, 期号: 3, 页码: 253-264
作者:  Cai, Liang;  Luo, Shunlong
收藏  |  浏览/下载：132/0  |  提交时间：2018/07/30
Wigner-Yanase-Dyson information  convexity  quantum Fisher information  operator convex functions  Morozova-Chentsov functions  
Explicit reformulations for robust optimization problems with general uncertainty sets 期刊论文
SIAM JOURNAL ON OPTIMIZATION, 2007, 卷号: 18, 期号: 4, 页码: 1436-1466
作者:  Averbakh, Igor;  Zhao, Yun-Bin
收藏  |  浏览/下载：88/0  |  提交时间：2018/07/30
robust optimization  data uncertainty  mathematical programming  homogeneous functions  convex analysis