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Professor Guoyin Li

Professor Guoyin Li

Professor

I received my Ph.D from The Chinese University of Hong Kong in Dec. 2007.

Science
School of Mathematics & Statistics

I received my Ph.D from The Chinese University of Hong Kong in Dec. 2007. I am currently a professor in the School of Mathematics and Statistics at University of New South Wales. I was awarded an Australian Research Council Future Fellowship (for mid-career researchers) during 2014-2018. My area of interest is optimisation, variational analysis and tensor computations.For some of my recent research articles, please see
Phone
9385 7095
E-mail
g.li@unsw.edu.au
Location
School of Mathematics and Statistics University of New South Wales Sydney NSW 2052 The Red Centre Room 2082
  • Book Chapters | 2023
    Li G; Wu H, 2023, 'Splitting Methods for Nonconvex and Nonsmooth Optimization', in Encyclopedia of Optimization, Springer International Publishing, pp. 1 - 19,
    Book Chapters | 2010
    Jeyakumar V; Lee G; Li G, 2010, 'Global Optimality Conditions for Classes of Non-convexMulti-objective Quadratic Optimization Problems', in Burachik RS; Yao J-C (ed.), Springer Optimization and Its Applications, Vol 47, Springer, pp. 177 - 186
  • Journal articles | 2024
    Goberna MA; Jeyakumar V; Li G, 2024, 'The Stability of Robustness for Conic Linear Programs with Uncertain Data', Journal of Optimization Theory and Applications, 203, pp. 1509 - 1530,
    Journal articles | 2024
    Huang QY; Jeyakumar V; Li G, 2024, 'Piecewise SOS-convex moment optimization and applications via exact semi-definite programs', EURO Journal on Computational Optimization, 12,
    Journal articles | 2024
    Jeyakumar V; Li G; Woolnough D; Wu H, 2024, 'Affinely adjustable robust optimization for radiation therapy under evolving data uncertainty via semi-definite programming', Optimization, 73, pp. 1807 - 1832,
    Journal articles | 2024
    Wang Q; Li J; Gao W; Li G; Liu X; Bradford MA, 2024, 'Smoothing and approximation of grassland fire loading data for engineering structures by Capped Extended Support Vector Regression', Engineering Structures, 319,
    Journal articles | 2024
    Wang Q; Wu D; Li G; Liu Z; Tong J; Chen X; Gao W, 2024, 'Machine learning aided uncertainty quantification for engineering structures involving material-geometric randomness and data imperfection', Computer Methods in Applied Mechanics and Engineering, 423,
    Journal articles | 2024
    Zeng L; Zhang Y; Li G; Pong TK; Wang X, 2024, 'Frank–Wolfe-type methods for a class of nonconvex inequality-constrained problems', Mathematical Programming,
    Journal articles | 2024
    Zhao L; Li G; Penev S, 2024, 'Regularized distributionally robust optimization with application to the index tracking problem', Annals of Operations Research, 337, pp. 397 - 424,
    Journal articles | 2023
    BOc RIT; Dao MN; Li G, 2023, 'INERTIAL PROXIMAL BLOCK COORDINATE METHOD FOR A CLASS OF NONSMOOTH SUM-OF-RATIOS OPTIMIZATION PROBLEMS', SIAM Journal on Optimization, 33, pp. 361 - 393,
    Journal articles | 2023
    Pham TN; Dao MN; Shah R; Sultanova N; Li G; Islam S, 2023, 'A proximal subgradient algorithm with extrapolation for structured nonconvex nonsmooth problems', Numerical Algorithms, 94, pp. 1763 - 1795,
    Journal articles | 2023
    Zhang Y; Li G; Pong TK; Xu S, 2023, 'Retraction-based first-order feasible methods for difference-of-convex programs with smooth inequality and simple geometric constraints', Advances in Computational Mathematics, 49,
    Journal articles | 2022
    Bello-Cruz Y; Li G; Nghia TTA, 2022, 'Quadratic Growth Conditions and Uniqueness of Optimal Solution to Lasso', Journal of Optimization Theory and Applications, 194, pp. 167 - 190,
    Journal articles | 2022
    Bot RI; Dao MN; Li G, 2022, 'Extrapolated Proximal Subgradient Algorithms for Nonconvex and Nonsmooth Fractional Programs', Mathematics of Operations Research, 47, pp. 2415 - 2443,
    Journal articles | 2022
    Chuong TD; Jeyakumar V; Li G; Woolnough D, 2022, 'Exact dual semi-definite programs for affinely adjustable robust SOS-convex polynomial optimization problems', Optimization, 71, pp. 3539 - 3569,
    Journal articles | 2022
    Goberna MA; Jeyakumar V; Li G; Vicente-Pérez J, 2022, 'The radius of robust feasibility of uncertain mathematical programs: A Survey and recent developments', European Journal of Operational Research, 296, pp. 749 - 763,
    Journal articles | 2022
    Jeyakumar V; Lee JH; Lee GM; Li G; Woolnough D, 2022, 'Sums of Squares Polynomial Program Reformulations for Adjustable Robust Linear Optimization Problems with Separable Polynomial Decision Rules', Set-Valued and Variational Analysis, 30, pp. 1363 - 1380,
    Journal articles | 2022
    Wang Q; Feng Y; Wu D; Li G; Liu Z; Gao W, 2022, 'Polymorphic uncertainty quantification for engineering structures via a hyperplane modelling technique', Computer Methods in Applied Mechanics and Engineering, 398,
    Journal articles | 2022
    Wang Q; Feng Y; Wu D; Yang C; Yu Y; Li G; Beer M; Gao W, 2022, 'Polyphase uncertainty analysis through virtual modelling technique', Mechanical Systems and Signal Processing, 162,
    Journal articles | 2022
    Woolnough D; Jeyakumar N; Li G; Loy CT; Jeyakumar V, 2022, 'Robust Optimization and Data Classification for Characterization of Huntington Disease Onset via Duality Methods', Journal of Optimization Theory and Applications, 193, pp. 649 - 675,
    Journal articles | 2022
    Yu P; Li G; Pong TK, 2022, 'Kurdyka–Łojasiewicz Exponent via Inf-projection', Foundations of Computational Mathematics, 22, pp. 1171 - 1217,
    Journal articles | 2021
    Bello-Cruz Y; Li G; Nghia TTA, 2021, 'On the Linear Convergence of Forward–Backward Splitting Method: Part I—Convergence Analysis', Journal of Optimization Theory and Applications, 188, pp. 378 - 401,
    Journal articles | 2021
    Chuong TD; Jeyakumar V; Li G; Woolnough D, 2021, 'Exact SDP reformulations of adjustable robust linear programs with box uncertainties under separable quadratic decision rules via SOS representations of non-negativity', Journal of Global Optimization, 81, pp. 1095 - 1117,
    Journal articles | 2021
    Goberna MA; Jeyakumar V; Li G, 2021, 'Calculating Radius of Robust Feasibility of Uncertain Linear Conic Programs via Semi-definite Programs', Journal of Optimization Theory and Applications, 189, pp. 597 - 622,
    Journal articles | 2021
    Hu S; Li G, 2021, 'B -subdifferentials of the projection onto the matrix simplex', Computational Optimization and Applications, 80, pp. 915 - 941,
    Journal articles | 2021
    Jeyakumar V; Li G; Woolnough D, 2021, 'Quadratically adjustable robust linear optimization with inexact data via generalized S-lemma: Exact second-order cone program reformulations', EURO Journal on Computational Optimization, 9,
    Journal articles | 2021
    Wang Q; Wu D; Li G; Gao W, 2021, 'A virtual model architecture for engineering structures with Twin Extended Support Vector Regression (T-X-SVR) method', Computer Methods in Applied Mechanics and Engineering, 386,
    Journal articles | 2021
    Woolnough D; Jeyakumar V; Li G, 2021, 'Exact conic programming reformulations of two-stage adjustable robust linear programs with new quadratic decision rules', Optimization Letters, 15, pp. 25 - 44,
    Journal articles | 2020
    Burachik RS; Li G, 2020, 'Introduction', Springer Proceedings in Mathematics and Statistics, 313, pp. 3 - 5,
    Journal articles | 2020
    Chieu NH; Jeyakumar V; Li G, 2020, 'Convexifiability of continuous and discrete nonnegative quadratic programs for gap-free duality', EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 280, pp. 441 - 452,
    Journal articles | 2019
    Chieu NH; Chuong TD; Jeyakumar V; Li G, 2019, 'A copositive Farkas lemma and minimally exact conic relaxations for robust quadratic optimization with binary and quadratic constraints', Operations Research Letters, 47, pp. 530 - 536,
    Journal articles | 2019
    Chuong TD; Jeyakumar V; Li G, 2019, 'A new bounded degree hierarchy with SOCP relaxations for global polynomial optimization and conic convex semi-algebraic programs', Journal of Global Optimization, 75, pp. 885 - 919,
    Journal articles | 2019
    Feng J; Li Q; Sofi A; Li G; Wu D; Gao W, 2019, 'Uncertain Structural Free Vibration Analysis with Non-Probabilistic Spatially Varying Parameters', ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part B: Mechanical Engineering, 5,
    Journal articles | 2019
    Feng J; Liu L; Wu D; Li G; Beer M; Gao W, 2019, 'Dynamic reliability analysis using the extended support vector regression (X-SVR)', Mechanical Systems and Signal Processing, 126, pp. 368 - 391,
    Journal articles | 2019
    Liu Z; Yang C; Gao W; Wu D; Li G, 2019, 'Nonlinear behaviour and stability of functionally graded porous arches with graphene platelets reinforcements', International Journal of Engineering Science, 137, pp. 37 - 56,
    Journal articles | 2019
    Tang C; Jian J; Li G, 2019, 'A proximal-projection partial bundle method for convex constrained minimax problems', Journal of Industrial and Management Optimization, 15, pp. 757 - 774,
    Journal articles | 2018
    Bomze IM; Jeyakumar V; Li G, 2018, 'Extended trust-region problems with one or two balls: exact copositive and Lagrangian relaxations', Journal of Global Optimization, 71, pp. 551 - 569,
    Journal articles | 2018
    Chen H; Chen Y; Li G; Qi L, 2018, 'A semidefinite program approach for computing the maximum eigenvalue of a class of structured tensors and its applications in hypergraphs and copositivity test', Numerical Linear Algebra with Applications, 25,
    Journal articles | 2018
    Chieu NH; Feng JW; Gao W; Li G; Wu D, 2018, 'SOS-Convex Semialgebraic Programs and its Applications to Robust Optimization: A Tractable Class of Nonsmooth Convex Optimization', Set-Valued and Variational Analysis, 26, pp. 305 - 326,
    Journal articles | 2018
    Chieu NH; Jeyakumar V; Li G; Mohebi H, 2018, 'Constraint qualifications for convex optimization without convexity of constraints : New connections and applications to best approximation', European Journal of Operational Research, 265, pp. 19 - 25,
    Journal articles | 2018
    Feng J; Wu D; Gao W; Li G; Wu D, 2018, 'Hybrid uncertain natural frequency analysis for structures with random and interval fields', Computer Methods in Applied Mechanics and Engineering, 328, pp. 365 - 389,
    Journal articles | 2018
    Goberna MA; Jeyakumar V; Li G; Vicente-Pérez J, 2018, 'Guaranteeing highly robust weakly efficient solutions for uncertain multi-objective convex programs', European Journal of Operational Research, 270, pp. 40 - 50,
    Journal articles | 2018
    Hu S; Li G, 2018, 'Convergence rate analysis for the higher order power method in best rank one approximations of tensors', Numerische Mathematik, 140, pp. 993 - 1031,
    Journal articles | 2018
    Jeyakumar V; Li G, 2018, 'Exact second-order cone programming relaxations for some nonconvex minimax quadratic optimization problems', SIAM Journal on Optimization, 28, pp. 760 - 787,
    Journal articles | 2018
    Li G; Mordukhovich BS; Nghia TTA; Phạm TS, 2018, 'Error bounds for parametric polynomial systems with applications to higher-order stability analysis and convergence rates', Mathematical Programming, 168, pp. 313 - 346,
    Journal articles | 2018
    Li G; Pong TK, 2018, 'Calculus of the Exponent of Kurdyka–Łojasiewicz Inequality and Its Applications to Linear Convergence of First-Order Methods', Foundations of Computational Mathematics, 18, pp. 1199 - 1232,
    Journal articles | 2017
    Borwein JM; Li G; Tam MK, 2017, 'Convergence rate analysis for averaged fixed point iterations in common fixed point problems', SIAM Journal on Optimization, 27, pp. 1 - 33,
    Journal articles | 2017
    Che M; Li G; Qi L; Wei Y, 2017, 'Pseudo-spectra theory of tensors and tensor polynomial eigenvalue problems', Linear Algebra and Its Applications, 533, pp. 536 - 572,
    Journal articles | 2017
    Chieu NH; Jeyakumar V; Li G, 2017, 'A convergent hierarchy of SDP relaxations for a class of hard robust global polynomial optimization problems', Operations Research Letters, 45, pp. 325 - 333,
    Journal articles | 2017
    Drusvyatskiy D; Li G; Wolkowicz H, 2017, 'A note on alternating projections for ill-posed semidefinite feasibility problems', Mathematical Programming, 162, pp. 537 - 548,
    Journal articles | 2017
    Feng J; Wu D; Gao W; Li G, 2017, 'Uncertainty analysis for structures with hybrid random and interval parameters using mathematical programming approach', Applied Mathematical Modelling, 48, pp. 208 - 232,
    Journal articles | 2017
    Jeyakumar V; Li G, 2017, 'Exact Conic Programming Relaxations for a Class of Convex Polynomial Cone Programs', Journal of Optimization Theory and Applications, 172, pp. 156 - 178,
    Journal articles | 2017
    Li G; Liu T; Pong TK, 2017, 'Peaceman–Rachford splitting for a class of nonconvex optimization problems', Computational Optimization and Applications, 68, pp. 407 - 436,
    Journal articles | 2017
    Wang Q; Li G; Qi L; Xu Y, 2017, 'New classes of positive semi-definite Hankel tensors', Minimax Theory and its Applications, 2, pp. 231 - 248
    Journal articles | 2016
    Chen H; Li G; Qi L, 2016, 'Further results on Cauchy tensors and Hankel tensors', Applied Mathematics and Computation, 275, pp. 50 - 62,
    Journal articles | 2016
    Chen H; Li G; Qi L, 2016, 'SOS tensor decomposition: Theory and applications', Communications in Mathematical Sciences, 14, pp. 2073 - 2100,
    Journal articles | 2016
    Goberna MA; Jeyakumar V; Li G; Linh N, 2016, 'Radius of robust feasibility formulas for classes of convex programs with uncertain polynomial constraints', Operations Research Letters, 44, pp. 67 - 73,
    Journal articles | 2016
    Hu S; Li G; Qi L, 2016, 'A Tensor Analogy of Yuan’s Theorem of the Alternative and Polynomial Optimization with Sign structure', Journal of Optimization Theory and Applications, 168, pp. 446 - 474,
    Journal articles | 2016
    Jeyakumar V; Kim S; Lee GM; Li G, 2016, 'Semidefinite programming relaxation methods for global optimization problems with sparse polynomials and unbounded semialgebraic feasible sets', Journal of Global Optimization, 65, pp. 175 - 190,
    Journal articles | 2016
    Jeyakumary V; Lasserre JB; Li G; Pham TS; Jeyakumar J, 2016, 'Convergent semidefinite programming relaxations for global bilevel polynomial optimization problems', SIAM Journal on Optimization, 26, pp. 753 - 780,
    Journal articles | 2016
    Li G; Pong TK, 2016, 'Douglas–Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems', Mathematical Programming, 159, pp. 371 - 401,
    Journal articles | 2016
    Li G; Qi L; Wang Q, 2016, 'Positive semi-definiteness of generalized anti-circulant tensors', Communications in Mathematical Sciences, 14, pp. 941 - 952,
    Journal articles | 2015
    Goberna MA; Jeyakumar V; Li G; Vicente-Pérez J, 2015, 'Robust solutions to multi-objective linear programs with uncertain data', European Journal of Operational Research, 242, pp. 730 - 743,
    Journal articles | 2015
    Jeyakumar V; Lee GM; Li G, 2015, 'Characterizing Robust Solution Sets of Convex Programs under Data Uncertainty', Journal of Optimization Theory and Applications, 164, pp. 407 - 435,
    Journal articles | 2015
    Jeyakumar V; Li G; Vicente-Pérez J, 2015, 'Robust SOS-convex polynomial optimization problems: exact SDP relaxations', Optimization Letters, 9, pp. 1 - 18,
    Journal articles | 2015
    Jeyakumar V; Li G, 2015, 'A bilevel Farkas lemma to characterizing global solutions of a class of bilevel polynomial programs', Operations Research Letters, 43, pp. 405 - 410,
    Journal articles | 2015
    Jeyakumar V; Li G, 2015, 'A new class of alternative theorems for SOS-convex inequalities and robust optimization', Applicable Analysis, 94, pp. 56 - 74,
    Journal articles | 2015
    Li G; Mordukhovich BS; Phạm TS, 2015, 'New fractional error bounds for polynomial systems with applications to Hölderian stability in optimization and spectral theory of tensors', Mathematical Programming, 153, pp. 333 - 362,
    Journal articles | 2015
    Li G; Pong TK, 2015, 'Global convergence of splitting methods for nonconvex composite op timization', SIAM Journal on Optimization, 25, pp. 2434 - 2460,
    Journal articles | 2015
    Wu D; Gao W; Li G; Tangaramvong S; Tin-Loi F, 2015, 'Robust assessment of collapse resistance of structures under uncertain loads based on Info-Gap model', Computer Methods in Applied Mechanics and Engineering, 285, pp. 208 - 227,
    Journal articles | 2014
    Borwein JM; Li G; Yao L, 2014, 'Analysis of the convergence rate for the cyclic projection algorithm applied to basic semialgebraic convex sets', SIAM Journal on Optimization, 24, pp. 498 - 527,
    Journal articles | 2014
    Goberna MA; Jeyakumar V; Li G; Vicente-Pérez J, 2014, 'Robust solutions of multiobjective linear semi-infinite programs under constraint data uncertainty', SIAM Journal on Optimization, 24, pp. 1402 - 1419,
    Journal articles | 2014
    Jeyakumar V; Lasserre JB; Li G, 2014, 'On Polynomial Optimization Over Non-compact Semi-algebraic Sets', Journal of Optimization Theory and Applications, 163, pp. 707 - 718,
    Journal articles | 2014
    Jeyakumar V; Li G; Srisatkunarajah S, 2014, 'Global Optimality Principles for Polynomial Optimization over Box or Bivalent Constraints by Separable Polynomial Approximations', Journal of Global Optimization, 58, pp. 31 - 50,
    Journal articles | 2014
    Jeyakumar V; Li GY, 2014, 'Trust-region problems with linear inequality constraints: exact SDP relaxation, global optimality and robust optimization', Mathematical Programming, 147, pp. 171 - 206,
    Journal articles | 2014
    Jeyakumar V; Phaìm TS; Li G, 2014, 'Convergence of the Lasserre hierarchy of SDP relaxations for convex polynomial programs without compactness', Operations Research Letters, 42, pp. 34 - 40,
    Journal articles | 2014
    Li G; Ma AKC; Pong TK, 2014, 'Robust least square semidefinite programming with applications', Computational Optimization and Applications, 58, pp. 347 - 379,
    Journal articles | 2014
    Yuan G; Wei Z; Li G, 2014, 'A modified Polak-Ribière-Polyak conjugate gradient algorithm for nonsmooth convex programs', Journal of Computational and Applied Mathematics, 255, pp. 86 - 96,
    Journal articles | 2013
    Bot R; Jeyakumar V; Li G, 2013, 'Robust duality in parametric convex optimization', Set-Valued and Variational Analysis, 21, pp. 177 - 189,
    Journal articles | 2013
    Goberna MA; Jeyakumar V; Li G; López MA, 2013, 'Robust linear semi-infinite programming duality under uncertainty', Mathematical Programming, 139, pp. 185 - 203,
    Journal articles | 2013
    Hu S; Li G; Qi L; Song Y, 2013, 'Finding the Maximum Eigenvalue of Essentially Nonnegative Symmetric Tensors via Sum of Squares Programming', Journal of Optimization and its application, 158, pp. 717 - 738,
    Journal articles | 2013
    Jeyakumar V; Li G; Mordukhovich B; Wang J, 2013, 'Robust best approximation with interpolation constraints under ellipsoidal uncertainty: Strong duality and nonsmooth Newton methods', Nonlinear Analysis - Theory Methods and Applications, 81, pp. 1 - 11,
    Journal articles | 2013
    Jeyakumar V; Li G; Srisatkunarajah S, 2013, 'Strong duality for robust minimax fractional programming problems', European Journal of Operational Research, 228, pp. 331 - 336,
    Journal articles | 2013
    Jeyakumar V; Li G; Wang J, 2013, 'Some robust convex programs without duality gap', Journal of Convex Analysis, 20, pp. 377 - 394,
    Journal articles | 2013
    Jeyakumar V; Li G, 2013, 'Robust solutions of quadratic optimization over single quadratic constraint under interval uncertainty', Journal of Global Optimization, 55, pp. 209 - 226,
    Journal articles | 2013
    Li G; Qi L; Yu G, 2013, 'Semismoothness of the Maximum Eigenvalue Function of a Symmetric Tensor and its Application', Linear Algebra and its Applications, 438, pp. 813 - 833,
    Journal articles | 2013
    Li G; Qi L; Yu G, 2013, 'The Z-eigenvalues of a Symmetric Tensor and its Application to Spectral Hypergraph Theory', Numerical Linear Algebra with Applications,
    Journal articles | 2013
    Li G, 2013, 'Global error bounds for piecewise convex polynomials', Mathematical Programming, Series A, 137, pp. 37 - 64,
    Journal articles | 2012
    Jeyakumar V; Li G; Lee GM, 2012, 'Robust duality for generalized convex programming prolems under data uncertainty', Nonlinear Analysis - Theory Methods and Applications, 75, pp. 1362 - 1373,
    Journal articles | 2012
    Jeyakumar V; Li G; Suthaharan S, 2012, 'Support vector machine classifiers with uncertain knowledge sets via robust optimization', Optimization,
    Journal articles | 2012
    Jeyakumar V; Li G, 2012, 'Exact SDP relaxations for classes of nonlinear semidefinite programming problems', Operations Research Letters, 40, pp. 529 - 536,
    Journal articles | 2012
    Jeyakumar V; Li G, 2012, 'Strong duality in robust semi-definite linear programming under data uncertainty', Optimization,
    Journal articles | 2012
    Jeyakumar V; Wang J; Li G, 2012, 'Lagrange multiplier characterizations of robust best approximations under constraint data uncertainty', Journal of Mathematical Analysis and Applications, 393, pp. 285 - 297,
    Journal articles | 2012
    Li G; Mordukhovich B, 2012, 'Hölder Metric Subregularity with Applications to Proximal Point Method', SIAM Journal on Optimization, 22, pp. 1655 - 1684,
    Journal articles | 2012
    Li G, 2012, 'Global Quadratic Minimization over Bivalent Constraints: Necessary and Sufficient Global Optimality Condition', Journal of Optimization Theory and Applications, 152, pp. 710 - 726,
    Journal articles | 2011
    Huang L; Li G; Yuan G, 2011, 'A Look at the Tool of BYRD and NOCEDAL', American Journal of Computational Mathematics, 01, pp. 240 - 246,
    Journal articles | 2011
    Jeyakumar V; Li G; Lee GM, 2011, 'A robust Von Neumann minimax theorem for zero-sum games under bounded payoff uncertainty', Operations Research Letters, 39, pp. 109 - 114,
    Journal articles | 2011
    Jeyakumar V; Li G, 2011, 'Necessary global optimality conditions for nonlinear programming problems with polynomial constraints', Mathematical Programming, 126, pp. 393 - 399,
    Journal articles | 2011
    Jeyakumar V; Li G, 2011, 'Regularized Lagrangian duality for linearly constrained quadratic optimization and trust-region problems', Journal of Global Optimization, 49, pp. 1 - 14,
    Journal articles | 2011
    Jeyakumar V; Li G, 2011, 'Robust Farkas’ lemma for uncertain linear systems with applications', Positivity, 15, pp. 331 - 342,
    Journal articles | 2011
    Jeyakumar V; Li G, 2011, 'Robust duality for fractional programming problems with constraint-wise data uncertainty', Journal of Optimization Theory and Applications, 151, pp. 292 - 303,
    Journal articles | 2011
    Li G; Jeyakumar V; Lee G, 2011, 'Robust conjugate duality for convex optimization under uncertainty with application to data classification', Nonlinear Analysis - Theory Methods and Applications, 74, pp. 2327 - 2341,
    Journal articles | 2011
    Li G, 2011, 'A note on nonconvex minimax theorem with separable homogeneous polynomials', Journal of Optimization Theory and Applications, 150, pp. 194 - 203,
    Journal articles | 2011
    Tang CM; Jian JB; Li GY, 2011, 'A working set SQCQP algorithm with simple nonmonotone penalty parameters', Journal of Computational and Applied Mathematics, 236, pp. 1382 - 1398,
    Journal articles | 2010
    Jeyakumar V; Li G, 2010, 'Characterizing robust set containments and solutions of uncertain linear programs without qualifications', Operations Research Letters, 38, pp. 188 - 194,
    Journal articles | 2010
    Jeyakumar V; Li G, 2010, 'New strong duality results for convex programs with separable constraints', European Journal of Operational Research, 207, pp. 1203 - 1209,
    Journal articles | 2010
    Jeyakumar V; Li G, 2010, 'Strong duality in robust convex programming: complete characterizations', SIAM Journal on Optimization, 20, pp. 3384 - 3407
    Journal articles | 2010
    Li G; Tang C; Wei Z, 2010, 'Error bound results for generalized D-gap functions of nonsmooth variational inequality problems', Journal of Computational and Applied Mathematics, 233, pp. 2795 - 2806,
    Journal articles | 2010
    Li G, 2010, 'On the asymptotically well behaved functions and global error bound for convex polynomials', SIAM Journal on Optimization, 20, pp. 1923 - 1943,
    Journal articles | 2009
    Jeyakumar V; Lee GM; Li G, 2009, 'Alternative theorems for quadratic inequality systems and global quadratic optimization', SIAM Journal on Optimization, 20, pp. 983 - 1001
    Journal articles | 2009
    Jeyakumar V; Li G; Huy N, 2009, 'Necessary and sufficient conditions for S-lemma and nonconvex quadratic optimization', Optimization and Engineering, 10, pp. 491 - 503
    Journal articles | 2009
    Jeyakumar V; Li G, 2009, 'Farkas' lemma for separable sublinear inequalities without qualifications', Optimization Letters, 3, pp. 537 - 545,
    Journal articles | 2009
    Jeyakumar V; Li G, 2009, 'New dual constraint qualifications characterizing zero duality gaps of convex programs and semidefinite programs', Nonlinear Analysis - Theory Methods and Applications, 71, pp. e2239 - e2249
    Journal articles | 2009
    Jeyakumar V; Li G, 2009, 'Qualification-free optimality conditions for convex programs with separable inequality constraints', Journal of Convex Analysis, 16, pp. 845 - 856
    Journal articles | 2009
    Jeyakumar V; Li G, 2009, 'Stable zero duality gaps in convex programming: Complete dual characterisations with applications to semidefinite programs', Journal of Mathematical Analysis and Applications, 360, pp. 156 - 167
    Journal articles | 2009
    Li G; Ng KF, 2009, 'Error bounds of generalized D-gap functions for nonsmooth and nonmonotone variational inequality problems', SIAM Journal on Optimization, 20, pp. 667 - 690,
    Journal articles | 2008
    Li G; Ng KF, 2008, 'On Extension of Fenchel Duality and its Application', SIAM Journal on Optimization, 19, pp. 1489 - 1509,
    Journal articles | 2008
    Li G; Tang C; Yu G; Wei Z, 2008, 'On a Separation Principle for Nonconvex Sets', Set - Valued Analysis, 16, pp. 851 - 860,
    Journal articles | 2008
    Wei ZX; Li G; Qi LQ, 2008, 'Global convergence of the Polak-Ribiere- Polyak conjugate gradient method with inexact line searches for nonconvex unconstrained optimization problems, Mathematics of Computation', Mathematics of Computation, 77, pp. 2173 - 2193,
    Journal articles | 2008
    Yu G; Guan L; Li G, 2008, 'Global convergence of modified Polak-Ribière-Polyak conjugate gradient methods with sufficient descent property', Journal of Industrial and Management Optimization, 4, pp. 565 - 579,
    Journal articles | 2007
    Li G; Ng KF; Zheng XY, 2007, 'Unified approach to some geometric results in variational analysis', Journal of Functional Analysis, 248, pp. 317 - 343,
    Journal articles | 2007
    Li G; Tang C; Wei ZX, 2007, 'New conjugacy condition and related new conjugate gradient methods for unconstrained optimization', Journal of Computational and Applied Mathematics, 202, pp. 523 - 539,
    Journal articles | 2007
    Wei ZX; Tang C; Li G, 2007, 'A new version of the Liu-Storey conjugate gradient method', Applied Mathematics and Computation, 189, pp. 302 - 313,
    Journal articles | 2006
    Wei ZX; Li G; Qi LQ, 2006, 'New nonlinear conjugate gradient formulas for large-scale unconstrained optimization problems', Applied Mathematics and Computation, 179, pp. 407 - 430,
    Journal articles | 2006
    Wei ZX; Li G; Qi LQ, 2006, 'New quasi-Newton methods for unconstrained optimization problems', Applied Mathematics and Computation, 175, pp. 1156 - 1188,
  • Preprints | 2022
    Pham TN; Dao MN; Shah R; Sultanova N; Li G; Islam S, 2022, A proximal subgradient algorithm with extrapolation for structured nonconvex nonsmooth problems, ,
    Preprints | 2021
    Zeng L; Zhang Y; Li G; Pong TK, 2021, Frank-Wolfe-type methods for a class of nonconvex inequality-constrained problems, ,
    Preprints | 2021
    Zhang Y; Li G; Pong TK; Xu S, 2021, Retraction-based first-order feasible methods for difference-of-convex programs with smooth inequality and simple geometric constraints, ,
    Preprints | 2020
    Boţ RI; Dao MN; Li G, 2020, Extrapolated Proximal Subgradient Algorithms for Nonconvex and Nonsmooth Fractional Programs, ,
    Preprints | 2020
    Boţ RI; Dao MN; Li G, 2020, Inertial Proximal Block Coordinate Method for a Class of Nonsmooth Sum-of-Ratios Optimization Problems, ,
    Preprints | 2020
    Goberna MA; Jeyakumar V; Li G, 2020, Calculating Radius of Robust Feasibility of Uncertain Linear Conic Programs via Semidefinite Programs, ,
    Preprints | 2020
    Woolnough D; Jeyakumar V; Li G, 2020, Exact Conic Programming Reformulations of Two-Stage Adjustable Robust Linear Programs with New Quadratic Decision Rules, ,
    Preprints | 2019
    Yu P; Li G; Pong TK, 2019, Kurdyka-Łojasiewicz exponent via inf-projection, ,
    Preprints | 2018
    Bello-Cruz Y; Li G; Nghia TTA, 2018, On the Q-linear convergence of forward-backward splitting method and uniqueness of optimal solution to Lasso, ,
    Preprints | 2017
    Bomze IM; Jeyakumar V; Li G, 2017, Extended Trust-Region Problems with One or Two Balls: Exact Copositive and Lagrangian Relaxations, ,
    Preprints | 2017
    Chuong TD; Jeyakumar V; Li G, 2017, A Bounded Degree Lasserre Hierarchy with SOCP Relaxations for Global Polynomial Optimization and Applications, ,
    Conference Papers | 2017
    Feng J; Wu D; Gao W; Li G, 2017, 'Hybrid random and fuzzy analysis of structural response using mathematical programming approach', in 9th Australasian Congress on Applied Mechanics, ACAM 2017
    Conference Papers | 2017
    Feng J; Wu D; Gao W; Li G, 2017, 'Non-deterministic free vibration analysis of structures with random and fuzzy parameters', in ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE), Tampa, Florida, USA, presented at ASME 2017 International Mechanical Engineering Congress and Exposition, Tampa, Florida, USA, 03 November 2017 - 09 November 2017,
    Conference Papers | 2016
    Gao W; Feng J; Wu D; Li G; Wu D, 2016, 'Unified stochastic and non-stochastic free vibration analysis of structure', in Hao H; Zhang C (ed.), Mechanics of Structures and Materials: Advancements and Challenges, CRC PRESS / BALKEMA, Perth, Australia, pp. 1809 - 1814, presented at The 24th Australasian Conference on the Mechanics of Structures and Materials, Perth, Australia, 06 December 2016 - 09 December 2016,
    Preprints | 2016
    Li G; Pong TK, 2016, Calculus of the exponent of Kurdyka-Łojasiewicz inequality and its applications to linear convergence of first-order methods, ,
    Preprints | 2015
    Borwein JM; Li G; Tam MK, 2015, Convergence rate analysis for averaged fixed point iterations in the presence of Hölder regularity, ,
    Preprints | 2015
    Li G; Liu T; Pong TK, 2015, Peaceman-Rachford splitting for a class of nonconvex optimization problems, ,
    Preprints | 2015
    Li G; Mordukhovich BS; Nghia TTA; Pham TS, 2015, Error Bounds for Parametric Polynomial Systems with Applications to Higher-Order Stability Analysis and Convergence Rates, ,
    Preprints | 2014
    Li G; Pong TK, 2014, Douglas-Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems, ,
    Preprints | 2014
    Li G; Pong TK, 2014, Global convergence of splitting methods for nonconvex composite optimization, ,
    Preprints | 2013
    Borwein JM; Li G; Yao L, 2013, Analysis of the convergence rate for the cyclic projection algorithm applied to basic semi-algebraic convex sets, ,

  • Australian Research Council Discovery Grant(2021-2023),V. Jeyakumar, G. Li, J.B. Lasserre, M. Goberna and I. M. Bomze, Data-Driven Multistage Robust Optimization-the New Frontier in Optimization.
  • Australian Research Council Discovery Grant (DP190100555), 2019-2021, G. Li, B. Mordukhovich, R. Bot, Innovations in sparse optimisation: big data nonsmooth optimisation.
  • Australian Research Council Discovery Grant (DP180100745), 2018-2020, V. Jeyakumar, G. Li, J.B. Lasserre, L.Q. Qi and D. Henrion: New Mathematics for Multiextremal Semialgebraic Optimization and Diffusion Tensor Imaging.
  • Australian Research Council Future Fellowship (FT130100038), 2014-2018, G. Li, A new optimization approach for tensor extreme eigenvalue problems: modern techniques for multi-relational data analysis.
  • ARC Research Hub Project, 2017-2021, W. Gao, Y.X. Zhang and G. Li, Performance assessment and optimal design for nano and composite structures, under ARC Linkage Scheme and administered through the ARC Research Hub for Nanoscience-based construction material manufacturing (IH150100006).
  • UNSW Science Gold Star Grant, 2017, V. Jeyakumar, G. Li, C. Thai Doan: Numerically Certifiable Mathematics for Multi-Extremal Global Optimization.
  • Australian Research Council Discovery Grant (DP120100467), 2012-2014, V. Jeyakumar, G. Li and M. A, Goberna: New Theory and Methods for Robust Global Optimization: Modern Decision-Making under Uncertain Conditions.
  • Australian Research Council Discovery Grant (DP1092508), 2010-2013, V. Jeyakumar, G. Li, G. M. Lee, B.S. Mordukhovich and S. Kim,A new improved solution to global optimization over multivariate polynomials: Mathematical principles, numerical methods and selected applications.

  • [02/2023] Fellow ofAustralian Mathematical Society

  • [12/2022] The 2022 Australian Mathematical Society Medal.

  • [2019 & 2020] Cited as the field leader inMathematical Optimisationby the, whichprofiles the Top 250 researchers in Australia.

  • [11/2019]: Joint winner of the 2019 Journal of Global Optimization Best Paper Award,

  • [11/2019]: 2019 International Consortium of Chinese Mathematicians (ICCM) Best Paper Award.

  • [01/2017] Optimization Letters (OPTL) Best Paper Award for 2015.

  • [01/2014-01/2018] Future Fellowship from Australian Research Council: Future fellowship is a four-year fellowship from Australian Research Council for outstanding mid-career researchers (5-15 years post-PhD)

  • [01/2017] UNSW Science Gold Star Award for the project ``Numerically Certifiable Mathematics for Multi-Extremal Global Optimization''.

  • [08/2013] Invited visiting fellowship from Isaac Newton Institute for Mathematical Sciences, University of Cambridge, United Kingdom.

  • [2011 & 2012] International Collaboration Award from Australian Research Council.

  • [01/2010-12/2013] Australian Postdoctoral Fellowship from Australian Research Council.

  • Professional Activities

  1. [Since 01/2023]Associate Editor of thejournal "SIAM Journal on Optimization".
  2. [Since 01/2020]Associate Editor of the Springer journal "Optimization Letters".
  3. [Since 01/2016] Associate Editor of the Springer journal ``Journal of Optimization Theory and its Applications".
  4. [Since 01/2015] Associate Editor of the Springer journal ``Mathematical Methods of Operations Research".
  5. [07/2020 - 07/2021] Guest editor for the Topical Collection “Mathematics of Computation and Optimisation” (MoCaO) in the Springer Journal "Advances in Computational Mathematics".
  • Recent Invited Plenary Presentations

  1. Special Invited Lecture for, Research Association of Mathematical Programming (RAMP) of the Operations Research Society of Japan, Oct. 7, 2022, online
  2. One World Optimization Seminar (OWS):available.
  3. 2019 The Internatinoal Consortium of Chinese Mathematicians (ICCM), , Dec. 16-18, Sanya, China.
  4. The AMSI Optimise event (June 26-30, 2017) as a national plenary speaker: a five-day symposium inspiring industry and research collaboration, organized by Australian Mathematical Science Institute: 1 hour's presentation.
  5. The international conference “Mathematical Optimisation Down Under (MODU2016)" as a plenary speaker (organized by Australian Mathematical Science Institute), 18-22 July 2016, Melbourne, Australia: 1 hour's presentation.
  6. International Conference in Optimization Theory and its Applications (ALEL 2016) as an invited plenary speaker, 6-8, June 2016, Cartagena, Spain: 1 hour's presentation.
  7. The 2014 International Conference on Tensors and Matrices and their application as an invited plenary speaker,, Suzhou, P.R. China, Dec. 17-20, 2014: 1 hour's presentation.

I was the director of the AMSI Summer School 2019 at University of New South Wales.