Ya-xiang Yuan

发表

Nonlinear Stepsize Control Algorithms: Complexity Bounds for First- and Second-Order Optimality

Jinyun Yuan, G. N. Grapiglia, Ya-xiang Yuan, 2016, Journal of Optimization Theory and Applications.

On the convergence and worst-case complexity of trust-region and regularization methods for unconstrained optimization

Jinyun Yuan, G. N. Grapiglia, Ya-xiang Yuan, 2014, Mathematical Programming.

TRUST REGION ALGORITHMS FOR CONSTRAINED OPTIMIZATION 1

Ya-xiang Yuan, 2008 .

Stochastic proximal quasi-Newton methods for non-convex composite optimization

Ya-Xiang Yuan, Xiao Wang, Xiaoyu Wang, 2019, Optim. Methods Softw..

Special Issue: The 3rd International Conference on Optimization Methods and Software (May 13-17, 2012, Chania, Greece) Foreword

Andreas Griewank, Stefan Ulbrich, Masao Fukushima, 2014 .

Linear Convergence of ISTA and FISTA

Bin Shi, Bowen Li, Ya-xiang Yuan, 2022, ArXiv.

A Partial First-Order Affine-Scaling Method

Ya-xiang Yuan, Ran Gu, 2017, Acta Mathematica Sinica, English Series.

Convergence and regularity of trust region methods for nonlinear ill-posed inverse problems

Ya-Xiang Yuan, Yanfei Wang, Ya-xiang Yuan, 2005 .

A trust region-CG algorithm for deblurring problem in atmospheric image reconstruction

Ya-Xiang Yuan, Yanfei Wang, Hongchao Zhang, 2002 .

On the Regularity of a Trust Region-CG Algorithm for Nonlinear Ill-posed Inverse Problems

Ya-Xiang Yuan, Yanfei Wang, Ya-xiang Yuan, 2002 .

A Trust Region Method for Solving Distributed Parameter Identification Problems

Ya-xiang Yuan, Yanfei Wang, 2001 .

A trust region algorithm for equality constrained optimization

Ya-Xiang Yuan, M. J. D. Powell, M. Powell, 1990, Math. Program..

Revisiting the acceleration phenomenon via high-resolution differential equations

Ya-Xiang Yuan, Bin Shi, Shu Chen, 2022, ArXiv.

Proximal Subgradient Norm Minimization of ISTA and FISTA

Bin Shi, Bowen Li, Bowen Li, 2022, SSRN Electronic Journal.

Gradient Norm Minimization of Nesterov Acceleration: o(1/k3)

Ya-Xiang Yuan, Bin Shi, Shu Chen, 2022, ArXiv.

Subspace Methods for 1 Nonlinear Optimization

Ya-Xiang Yuan, Z. Wen, Xin Liu, 2020 .

Penalty methods with stochastic approximation for stochastic nonlinear programming

Shiqian Ma, Ya-Xiang Yuan, Xiao Wang, 2013, Math. Comput..

Optimality Conditions and a Smoothing Trust Region Newton Method for NonLipschitz Optimization

Xiaojun Chen, Ya-Xiang Yuan, Lingfeng Niu, 2013, SIAM J. Optim..

An Efficient Hybrid Conjugate Gradient Method for Unconstrained Optimization

Ya-Xiang Yuan, Yu-Hong Dai, Yuhong Dai, 2001, Ann. Oper. Res..

A Subspace Study on Conjugate Gradient Algorithms

Ya-Xiang Yuan, J. Stoer, J. Stoer, 1995 .

Modified Two-Point Stepsize Gradient Methods for Unconstrained Optimization

Jin Yun Yuan, Ya-Xiang Yuan, Yu-Hong Dai, 2002, Comput. Optim. Appl..

A subspace limited memory quasi-Newton algorithm for large-scale nonlinear bound constrained optimization

Ya-Xiang Yuan, Q. Ni, Ya-Xiang Yuan, 1997, Math. Comput..

A parallel decomposition algorithm for training multiclass kernel-based vector machines

Ya-Xiang Yuan, Lingfeng Niu, Lingfeng Niu, 2011, Optim. Methods Softw..

Analysis on a superlinearly convergent augmented Lagrangian method

Ya-Xiang Yuan, Ya-xiang Yuan, 2013, Acta Mathematica Sinica, English Series.

On the truncated conjugate gradient method

Ya-Xiang Yuan, Ya-Xiang Yuan, Ya-xiang Yuan, 2000, Math. Program..

A Robust Algorithm for Optimization with General Equality and Inequality Constraints

Ya-Xiang Yuan, Xinwei Liu, Xinwei Liu, 2000, SIAM J. Sci. Comput..

Sum Rate Maximization for Non-Regenerative MIMO Relay Networks

Ya-Xiang Yuan, Eduard A. Jorswieck, Cong Sun, 2016, IEEE Transactions on Signal Processing.

Global Convergence of a Class of Quasi-newton Methods on Convex Problems, Siam Some Global Convergence Properties of a Variable Metric Algorithm for Minimization without Exact Line Searches, Nonlinear Programming, Edited

J. Nocedal, R. Byrd, Ya-Xiang Yuan, 1996 .

A derivative-free trust-region algorithm for composite nonsmooth optimization

Ya-Xiang Yuan, Jinyun Yuan, G. N. Grapiglia, 2014, Computational and Applied Mathematics.

Recent advances in trust region algorithms

Ya-Xiang Yuan, Ya-Xiang Yuan, Ya-xiang Yuan, 2015, Mathematical Programming.

Least $H^2$ Norm Updating Quadratic Interpolation Model Function for Derivative-free Trust-region Algorithms

Ya-xiang Yuan, Pengcheng Xie, 2023, 2302.12017.

Derivative-Free Optimization with Transformed Objective Functions and the Algorithm Based on the Least Frobenius Norm Updating Quadratic Model

Ya-xiang Yuan, Pengcheng Xie, 2023, Journal of the Operations Research Society of China.

Stochastic Trust-Region Methods with Trust-Region Radius Depending on Probabilistic Models

Xiaoyu Wang, Ya-xiang Yuan, 2019, Journal of Computational Mathematics.

Recent advances in trust region algorithms

Ya-Xiang Yuan, Ya-xiang Yuan, 2015, Mathematical Programming.

Optimization Theory and Methods: Nonlinear Programming

Ya-Xiang Yuan, Wenyu Sun, Ya-xiang Yuan, 2010 .

SIAM Journal on Optimization

Nicholas I. M. Gould, Stefan Ulbrich, Masao Fukushima, 2012 .

A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property

Ya-Xiang Yuan, Yu-Hong Dai, Ya-Xiang Yuan, 1999, SIAM J. Optim..

A subspace SQP method for equality constrained optimization

Yoon Mo Jung, Sangwoon Yun, Jae Hwa Lee, 2019, Comput. Optim. Appl..

On the superlinear convergence of a trust region algorithm for nonsmooth optimization

Ya-Xiang Yuan, Ya-Xiang Yuan, Ya-xiang Yuan, 1985, Math. Program..

Nonlinear Optimization: Trust Region Algorithms

Ya-Xiang Yuan, Ya-xiang Yuan, 2022 .

Strong duality for a trust-region type relaxation of the quadratic assignment problem

Ya-Xiang Yuan, K. Anstreicher, H. Wolkowicz, 1999 .

A class of smooth exact penalty function methods for optimization problems with orthogonality constraints

Ya-Xiang Yuan, Xin Liu, Nachuan Xiao, 2020, Optim. Methods Softw..

On the complexity of an augmented Lagrangian method for nonconvex optimization

Ya-Xiang Yuan, G. N. Grapiglia, Ya-xiang Yuan, 2019, IMA Journal of Numerical Analysis.

Parallelizable Algorithms for Optimization Problems with Orthogonality Constraints

Bin Gao, Xin Liu, Ya-xiang Yuan, 2018, SIAM J. Sci. Comput..

An augmented Lagrangian trust region method for equality constrained optimization

Ya-Xiang Yuan, Xiao Wang, Xiao Wang, 2015, Optim. Methods Softw..

Analysis on a superlinearly convergent augmented Lagrangian method

Ya-Xiang Yuan, Ya-xiang Yuan, 2014 .

A NEW TRUST-REGION ALGORITHM FOR NONLINEAR CONSTRAINED OPTIMIZATION *

Ya-Xiang Yuan, Lingfeng Niu, Ya-xiang Yuan, 2009 .

Optimization theory and methods

Ya-Xiang Yuan, Wenyu Sun, Wenyu Sun, 2006 .

A Penalty-free Infeasible Approach for a Class of Nonsmooth Optimization Problems over the Stiefel Manifold

Xin Liu, Nachuan Xiao, Ya-xiang Yuan, 2021, 2103.03514.

Exact Penalty Function for ℓ2, 1 Norm Minimization over the Stiefel Manifold

Ya-Xiang Yuan, Xin Liu, Nachuan Xiao, 2021, SIAM J. Optim..

Sequential Quadratic Programming Methods

Ya-Xiang Yuan, K. Schittkowski, Ya-xiang Yuan, 2011 .

A recursive quadratic programming algorithm that uses differentiable exact penalty functions

Ya-Xiang Yuan, M. J. D. Powell, M. Powell, 1986, Math. Program..

An only 2-step Q-superlinear convergence example for some algorithms that use reduced hessian approximations

Ya-Xiang Yuan, Ya-Xiang Yuan, Ya-xiang Yuan, 1985, Math. Program..

A derivative-free trust-region algorithm for composite nonsmooth optimization

Jinyun Yuan, G. N. Grapiglia, Ya-xiang Yuan, 2014, Computational and Applied Mathematics.

A subspace implementation of quasi-Newton trust region methods for unconstrained optimization

Ya-Xiang Yuan, Zhou-Hong Wang, Zhouhong Wang, 2006, Numerische Mathematik.

On the convergence of a new trust region algorithm

Ya-Xiang Yuan, Ya-xiang Yuan, 1995 .

On the Quadratic Convergence of the Levenberg-Marquardt Method without Nonsingularity Assumption

Ya-Xiang Yuan, Jinyan Fan, Jinyan Fan, 2005, Computing.

Adaptive Quadratically Regularized Newton Method for Riemannian Optimization

Ya-Xiang Yuan, Jiang Hu, Zaiwen Wen, 2018, SIAM J. Matrix Anal. Appl..

On the Analysis of the Discretized Kohn-Sham Density Functional Theory

Michael Ulbrich, Xiao Wang, Xin Liu, 2014, SIAM J. Numer. Anal..

A Parallel Line Search Subspace Correction Method for Composite Convex Optimization

Ya-Xiang Yuan, Z. Wen, Xin Liu, 2015 .

On the Convergence of Stochastic Gradient Descent with Bandwidth-based Step Size

Xiaoyu Wang, Ya-xiang Yuan, 2021, J. Mach. Learn. Res..

Low-Rank Matrix Iteration Using Polynomial-Filtered Subspace Extraction

Yongfeng Li, Zaiwen Wen, Ya-Xiang Yuan, 2020, SIAM J. Sci. Comput..

Subspace methods for large scale nonlinear equations and nonlinear least squares

Ya-Xiang Yuan, Ya-xiang Yuan, 2009 .

A modified BFGS algorithm for unconstrained optimization

Ya-Xiang Yuan, Ya-xiang Yuan, 1991 .

Subspace Techniques for Nonlinear Optimization

Ya-Xiang Yuan, Ya-xiang Yuan, 2007 .

Stability and Allocation in a Three-Player Game

Xin Chen, Ya-Xiang Yuan, Ye Lu, 2013, Asia Pac. J. Oper. Res..

On a subproblem of trust region algorithms for constrained optimization

Ya-Xiang Yuan, Ya-Xiang Yuan, Ya-xiang Yuan, 1990, Math. Program..

Global convergence of the method of shortest residuals

Ya-Xiang Yuan, Yu-Hong Dai, Yuhong Dai, 1999, Numerische Mathematik.

Quasi‐Newton Methods

Ya-Xiang Yuan, Ya-xiang Yuan, 2011 .

Analysis of a self-scaling quasi-Newton method

Jorge Nocedal, Ya-Xiang Yuan, J. Nocedal, 1993, Math. Program..

A new piecewise quadratic approximation approach for L0 norm minimization problem

Yanqin Bai, Qian Li, Changjun Yu, 2018, Science China Mathematics.

A new piecewise quadratic approximation approach for L0 norm minimization problem

Ya-Xiang Yuan, Qian Li, Changjun Yu, 2018, Science China Mathematics.

A Sequential Quadratic Programming Method Without A Penalty Function or a Filter for Nonlinear Equality Constrained Optimization

Ya-Xiang Yuan, Xinwei Liu, Xinwei Liu, 2011, SIAM J. Optim..

Recent advances in numerical methods for nonlinear equations andnonlinear least squares

Ya-Xiang Yuan, Ya-xiang Yuan, 2011 .

On the worst-case complexity of nonlinear stepsize control algorithms for convex unconstrained optimization

Jin Yun Yuan, Ya-Xiang Yuan, Geovani Nunes Grapiglia, 2016, Optim. Methods Softw..

Convergence Properties of Nonlinear Conjugate Gradient Methods

Ya-Xiang Yuan, Guanghui Liu, Defeng Sun, 1999, SIAM J. Optim..

Shape-Changing L-SR1 Trust-Region Methods

Jennifer B. Erway, Ya-Xiang Yuan, O. Burdakov, 2016 .

Optimization on product manifolds under a preconditioned metric

Bin Gao, Ya-xiang Yuan, Renfeng Peng, 2023, ArXiv.

Theory and application of p-regularized subproblems for p>2

Ya-Xiang Yuan, R. Sheu, Y. Hsia, 2017, Optim. Methods Softw..

On the Convergence of the Self-Consistent Field Iteration in Kohn-Sham Density Functional Theory

Ya-Xiang Yuan, Xiao Wang, Xin Liu, 2013, SIAM J. Matrix Anal. Appl..

A stronger extension of the hardy inequality

Lie-heng Wang, Ya-xiang Yuan, 1998 .

A Conic Trust-Region Method for Nonlinearly Constrained Optimization

Ya-Xiang Yuan, Wenyu Sun, Ya-Xiang Yuan, 2001, Ann. Oper. Res..

A Cone Constrained Convex Program: Structure and Algorithms

L. Qi, Xinzhen Zhang, Yi Xu, 2013 .

Modeling and Algorithms of GPS Data Reduction for the Qinghai–Tibet Railway

Ya-Xiang Yuan, Dewang Chen, Baigen Cai, 2010, IEEE Transactions on Intelligent Transportation Systems.

Conditions for convergence of trust region algorithms for nonsmooth optimization

Ya-Xiang Yuan, Ya-xiang Yuan, 1985, Math. Program..

Convergence properties of Beale-Powell restart algorithm

Ya-Xiang Yuan, Yuhong Dai, Ya-xiang Yuan, 1998 .

A Subspace Version of the Powell–Yuan Trust-Region Algorithm for Equality Constrained Optimization

Ya-Xiang Yuan, Jinyun Yuan, G. N. Grapiglia, 2013 .

Symplectic Discretization Approach for Developing New Proximal Point Algorithms

Yi Zhang, Ya-xiang Yuan, 2023, 2308.03986.

Analysis Accelerated Mirror Descent via High-resolution ODEs

Ya-xiang Yuan, Yi Zhang, 2023, 2308.03242.

On Underdamped Nesterov's Acceleration

Bin Shi, Shu Chen, Ya-xiang Yuan, 2023, ArXiv.

Parameter Estimation and Variable Selection for Big Systems of Linear Ordinary Differential Equations: A Matrix-Based Approach

Ya-Xiang Yuan, Xing Qiu, Hulin Wu, 2018, Journal of the American Statistical Association.

An Example of Non-Convergence of Trust Region Algorithms

Ya-Xiang Yuan, Ya-xiang Yuan, 1998 .

Trust Region Algorithms for Nonlinear Equations

Ya-Xiang Yuan, Ya-xiang Yuan, 1994 .

Analysis of monotone gradient methods

Ya-Xiang Yuan, Yuhong Dai, Ya-xiang Yuan, 2005 .

Alternate minimization gradient method

Ya-Xiang Yuan, Yu-Hong Dai, Yuhong Dai, 2003 .

On the convergence and worst-case complexity of trust-region and regularization methods for unconstrained optimization

Ya-xiang Yuan, Geovani N. Grapiglia, Jinyun Yuan, 2015, Math. Program..

An Accelerated Stochastic Mirror Descent Method

Bo Jiang, Ya-xiang Yuan, 2023, Journal of the Operations Research Society of China.

Feasible Method for Semi-Infinite Programs

Ya-Xiang Yuan, Shuxiong Wang, Shuxiong Wang, 2015, SIAM J. Optim..

Using truncated conjugate gradient method in trust-region method with two subproblems and backtracking line search

Ya-Xiang Yuan, Mingyun Tang, Ya-xiang Yuan, 2010 .

A penalty method for generalized Nash equilibrium problems

Ya-Xiang Yuan, Liwei Zhang, Hongwei Zhang, 2011 .

A New First-Order Algorithmic Framework for Optimization Problems with Orthogonality Constraints

Xiaojun Chen, Ya-Xiang Yuan, Bin Gao, 2018, SIAM J. Optim..

A NEW FIRST-ORDER FRAMEWORK FOR ORTHOGONAL CONSTRAINED OPTIMIZATION PROBLEMS

Xin Liu, Xiaojun Chen, Bin Gao, 2016 .

A New Two-dimensional Model-based Subspace Method for Large-scale Unconstrained Derivative-free Optimization: 2D-MoSub

Ya-xiang Yuan, Pengcheng Xie, 2023, 2309.14855.

A SemiSmooth Newton Method for Semidefinite Programs and its Applications in Electronic Structure Calculations

Chao Yang, Ya-Xiang Yuan, Yongfeng Li, 2018, SIAM J. Sci. Comput..

A Predictor–Corrector Algorithm for QSDP Combining Dikin-Type and Newton Centering Steps

Ya-Xiang Yuan, Jia-Wang Nie, Jiawang Nie, 2001, Ann. Oper. Res..

Gradient Methods for Large Scale Convex Quadratic Functions

Ya-Xiang Yuan, Ya-xiang Yuan, 2010 .

An Interior-Point Trust-Region Algorithm for General Symmetric Cone Programming

Ya-Xiang Yuan, Ye Lu, Ye Lu, 2007, SIAM J. Optim..

On Local Solutions of the Celis--Dennis--Tapia Subproblem

Ya-Xiang Yuan, Xiongda Chen, Ya-xiang Yuan, 1999, SIAM J. Optim..

Optimality Conditions for the Minimization of a Quadratic with Two Quadratic Constraints

Ya-Xiang Yuan, Ji-Ming Peng, Ji-Ming Peng, 1997, SIAM J. Optim..

A note on quadratic forms

Xin Chen, Ya-Xiang Yuan, Xin Chen, 1999, Math. Program..

Convergence properties of the Fletcher-Reeves method

Ya-Xiang Yuan, Yuhong Dai, Ya-xiang Yuan, 1996 .

Convergence properties of a restricted Newton-type method for generalized equations with metrically regular mappings

Ya-Xiang Yuan, M. Rashid, Ya-xiang Yuan, 2017 .

Metrically regular mappings and its application to convergence analysis of a confined Newton-type method for nonsmooth generalized equations

M. Rashid, Ya-xiang Yuan, 2020 .

Metrically regular mappings and its application to convergence analysis of a confined Newton-type method for nonsmooth generalized equations

M. Rashid, Ya-xiang Yuan, 2019, Science China Mathematics.