Guoyin Li

Orcid: 0000-0002-2099-7974

Affiliations:
  • University of New South Wales, Department of Applied Mathematics, Australia


According to our database1, Guoyin Li authored at least 80 papers between 2006 and 2023.

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Bibliography

2023
A proximal subgradient algorithm with extrapolation for structured nonconvex nonsmooth problems.
Numer. Algorithms, December, 2023

Retraction-based first-order feasible methods for difference-of-convex programs with smooth inequality and simple geometric constraints.
Adv. Comput. Math., February, 2023

Inertial Proximal Block Coordinate Method for a Class of Nonsmooth Sum-of-Ratios Optimization Problems.
SIAM J. Optim., 2023

2022
Extrapolated Proximal Subgradient Algorithms for Nonconvex and Nonsmooth Fractional Programs.
Math. Oper. Res., 2022

Robust Optimization and Data Classification for Characterization of Huntington Disease Onset via Duality Methods.
J. Optim. Theory Appl., 2022

Quadratic Growth Conditions and Uniqueness of Optimal Solution to Lasso.
J. Optim. Theory Appl., 2022

Kurdyka-Łojasiewicz Exponent via Inf-projection.
Found. Comput. Math., 2022

The radius of robust feasibility of uncertain mathematical programs: A Survey and recent developments.
Eur. J. Oper. Res., 2022

2021
Exact conic programming reformulations of two-stage adjustable robust linear programs with new quadratic decision rules.
Optim. Lett., 2021

Calculating Radius of Robust Feasibility of Uncertain Linear Conic Programs via Semi-definite Programs.
J. Optim. Theory Appl., 2021

On the Linear Convergence of Forward-Backward Splitting Method: Part I - Convergence Analysis.
J. Optim. Theory Appl., 2021

Exact SDP reformulations of adjustable robust linear programs with box uncertainties under separable quadratic decision rules via SOS representations of non-negativity.
J. Glob. Optim., 2021

Quadratically adjustable robust linear optimization with inexact data via generalized S-lemma: Exact second-order cone program reformulations.
EURO J. Comput. Optim., 2021

B-subdifferentials of the projection onto the matrix simplex.
Comput. Optim. Appl., 2021

2020
Convexifiability of continuous and discrete nonnegative quadratic programs for gap-free duality.
Eur. J. Oper. Res., 2020

2019
A copositive Farkas lemma and minimally exact conic relaxations for robust quadratic optimization with binary and quadratic constraints.
Oper. Res. Lett., 2019

A new bounded degree hierarchy with SOCP relaxations for global polynomial optimization and conic convex semi-algebraic programs.
J. Glob. Optim., 2019

2018
Exact Second-Order Cone Programming Relaxations for Some Nonconvex Minimax Quadratic Optimization Problems.
SIAM J. Optim., 2018

Convergence rate analysis for the higher order power method in best rank one approximations of tensors.
Numerische Mathematik, 2018

A semidefinite program approach for computing the maximum eigenvalue of a class of structured tensors and its applications in hypergraphs and copositivity test.
Numer. Linear Algebra Appl., 2018

Error bounds for parametric polynomial systems with applications to higher-order stability analysis and convergence rates.
Math. Program., 2018

Extended trust-region problems with one or two balls: exact copositive and Lagrangian relaxations.
J. Glob. Optim., 2018

Calculus of the Exponent of Kurdyka-Łojasiewicz Inequality and Its Applications to Linear Convergence of First-Order Methods.
Found. Comput. Math., 2018

Guaranteeing highly robust weakly efficient solutions for uncertain multi-objective convex programs.
Eur. J. Oper. Res., 2018

Constraint qualifications for convex optimization without convexity of constraints : New connections and applications to best approximation.
Eur. J. Oper. Res., 2018

2017
Convergence Rate Analysis for Averaged Fixed Point Iterations in Common Fixed Point Problems.
SIAM J. Optim., 2017

A convergent hierarchy of SDP relaxations for a class of hard robust global polynomial optimization problems.
Oper. Res. Lett., 2017

A note on alternating projections for ill-posed semidefinite feasibility problems.
Math. Program., 2017

Exact Conic Programming Relaxations for a Class of Convex Polynomial Cone Programs.
J. Optim. Theory Appl., 2017

Peaceman-Rachford splitting for a class of nonconvex optimization problems.
Comput. Optim. Appl., 2017

2016
Convergent Semidefinite Programming Relaxations for Global Bilevel Polynomial Optimization Problems.
SIAM J. Optim., 2016

Radius of robust feasibility formulas for classes of convex programs with uncertain polynomial constraints.
Oper. Res. Lett., 2016

Douglas-Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems.
Math. Program., 2016

A Tensor Analogy of Yuan's Theorem of the Alternative and Polynomial Optimization with Sign structure.
J. Optim. Theory Appl., 2016

Semidefinite programming relaxation methods for global optimization problems with sparse polynomials and unbounded semialgebraic feasible sets.
J. Glob. Optim., 2016

Further results on Cauchy tensors and Hankel tensors.
Appl. Math. Comput., 2016

2015
Global Convergence of Splitting Methods for Nonconvex Composite Optimization.
SIAM J. Optim., 2015

A bilevel Farkas lemma to characterizing global solutions of a class of bilevel polynomial programs.
Oper. Res. Lett., 2015

Robust SOS-convex polynomial optimization problems: exact SDP relaxations.
Optim. Lett., 2015

New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors.
Math. Program., 2015

Characterizing Robust Solution Sets of Convex Programs under Data Uncertainty.
J. Optim. Theory Appl., 2015

Robust solutions to multi-objective linear programs with uncertain data.
Eur. J. Oper. Res., 2015

Peaceman-Rachford splitting for a class of nonconvex optimization problems.
CoRR, 2015

2014
Robust Solutions of MultiObjective Linear Semi-Infinite Programs under Constraint Data Uncertainty.
SIAM J. Optim., 2014

Analysis of the Convergence Rate for the Cyclic Projection Algorithm Applied to Basic Semialgebraic Convex Sets.
SIAM J. Optim., 2014

Convergence of the Lasserre hierarchy of SDP relaxations for convex polynomial programs without compactness.
Oper. Res. Lett., 2014

Trust-region problems with linear inequality constraints: exact SDP relaxation, global optimality and robust optimization.
Math. Program., 2014

On Polynomial Optimization Over Non-compact Semi-algebraic Sets.
J. Optim. Theory Appl., 2014

Global optimality principles for polynomial optimization over box or bivalent constraints by separable polynomial approximations.
J. Glob. Optim., 2014

A modified Polak-Ribière-Polyak conjugate gradient algorithm for nonsmooth convex programs.
J. Comput. Appl. Math., 2014

Splitting methods for nonconvex composite optimization.
CoRR, 2014

Robust least square semidefinite programming with applications.
Comput. Optim. Appl., 2014

2013
The <i>Z</i>-eigenvalues of a symmetric tensor and its application to spectral hypergraph theory.
Numer. Linear Algebra Appl., 2013

Global error bounds for piecewise convex polynomials.
Math. Program., 2013

Robust linear semi-infinite programming duality under uncertainty.
Math. Program., 2013

Finding the Maximum Eigenvalue of Essentially Nonnegative Symmetric Tensors via Sum of Squares Programming.
J. Optim. Theory Appl., 2013

Robust solutions of quadratic optimization over single quadratic constraint under interval uncertainty.
J. Glob. Optim., 2013

Strong duality for robust minimax fractional programming problems.
Eur. J. Oper. Res., 2013

2012
Hölder Metric Subregularity with Applications to Proximal Point Method.
SIAM J. Optim., 2012

Exact SDP relaxations for classes of nonlinear semidefinite programming problems.
Oper. Res. Lett., 2012

Global Quadratic Minimization over Bivalent Constraints: Necessary and Sufficient Global Optimality Condition.
J. Optim. Theory Appl., 2012

2011
A robust von Neumann minimax theorem for zero-sum games under bounded payoff uncertainty.
Oper. Res. Lett., 2011

Necessary global optimality conditions for nonlinear programming problems with polynomial constraints.
Math. Program., 2011

A Note on Nonconvex Minimax Theorem with Separable Homogeneous Polynomials.
J. Optim. Theory Appl., 2011

Robust Duality for Fractional Programming Problems with Constraint-Wise Data Uncertainty.
J. Optim. Theory Appl., 2011

Regularized Lagrangian duality for linearly constrained quadratic optimization and trust-region problems.
J. Glob. Optim., 2011

A working set SQCQP algorithm with simple nonmonotone penalty parameters.
J. Comput. Appl. Math., 2011

2010
On the Asymptotically Well Behaved Functions and Global Error Bound for Convex Polynomials.
SIAM J. Optim., 2010

Strong Duality in Robust Convex Programming: Complete Characterizations.
SIAM J. Optim., 2010

Characterizing robust set containments and solutions of uncertain linear programs without qualifications.
Oper. Res. Lett., 2010

Error bound results for generalized D-gap functions of nonsmooth variational inequality problems.
J. Comput. Appl. Math., 2010

New strong duality results for convex programs with separable constraints.
Eur. J. Oper. Res., 2010

2009
Error Bounds of Generalized D-Gap Functions for Nonsmooth and Nonmonotone Variational Inequality Problems.
SIAM J. Optim., 2009

Alternative Theorems for Quadratic Inequality Systems and Global Quadratic Optimization.
SIAM J. Optim., 2009

Farkas' lemma for separable sublinear inequalities without qualifications.
Optim. Lett., 2009

2008
On Extension of Fenchel Duality and its Application.
SIAM J. Optim., 2008

Global convergence of the Polak-Ribière-Polyak conjugate gradient method with an Armijo-type inexact line search for nonconvex unconstrained optimization problems.
Math. Comput., 2008

2007
A new version of the Liu-Storey conjugate gradient method.
Appl. Math. Comput., 2007

2006
New nonlinear conjugate gradient formulas for large-scale unconstrained optimization problems.
Appl. Math. Comput., 2006

New quasi-Newton methods for unconstrained optimization problems.
Appl. Math. Comput., 2006


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