Select Publications
Preprints
, 2024, Piecewise SOS-Convex Moment Optimization and Applications via Exact Semi-Definite Programs, http://dx.doi.org/10.48550/arxiv.2402.07064
, 2022, A proximal subgradient algorithm with extrapolation for structured nonconvex nonsmooth problems, http://dx.doi.org/10.48550/arxiv.2208.12432
, 2021, Frank-Wolfe-type methods for a class of nonconvex inequality-constrained problems, http://dx.doi.org/10.48550/arxiv.2112.14404
, 2021, Retraction-based first-order feasible methods for difference-of-convex programs with smooth inequality and simple geometric constraints, http://dx.doi.org/10.48550/arxiv.2106.08584
, 2020, Calculating Radius of Robust Feasibility of Uncertain Linear Conic Programs via Semidefinite Programs, http://dx.doi.org/10.48550/arxiv.2007.07599
, 2020, Exact Conic Programming Reformulations of Two-Stage Adjustable Robust Linear Programs with New Quadratic Decision Rules, http://dx.doi.org/10.48550/arxiv.2002.05223
, 2019, Kurdyka-Łojasiewicz exponent via inf-projection, http://dx.doi.org/10.48550/arxiv.1902.03635
, 2018, On the Q-linear convergence of forward-backward splitting method and uniqueness of optimal solution to Lasso, http://dx.doi.org/10.48550/arxiv.1806.06333
, 2017, A Bounded Degree Lasserre Hierarchy with SOCP Relaxations for Global Polynomial Optimization and Applications, http://dx.doi.org/10.48550/arxiv.1710.06598
, 2017, Extended Trust-Region Problems with One or Two Balls: Exact Copositive and Lagrangian Relaxations, http://dx.doi.org/10.48550/arxiv.1702.08113
, 2016, Calculus of the exponent of Kurdyka-Łojasiewicz inequality and its applications to linear convergence of first-order methods, http://dx.doi.org/10.48550/arxiv.1602.02915
, 2015, Convergence rate analysis for averaged fixed point iterations in the presence of Hölder regularity, http://dx.doi.org/10.48550/arxiv.1510.06823
, 2015, Error Bounds for Parametric Polynomial Systems with Applications to Higher-Order Stability Analysis and Convergence Rates, http://dx.doi.org/10.48550/arxiv.1509.03742
, 2015, Peaceman-Rachford splitting for a class of nonconvex optimization problems, http://dx.doi.org/10.48550/arxiv.1507.00887
, 2014, Douglas-Rachford splitting for nonconvex optimization with application to nonconvex feasibility problems, http://dx.doi.org/10.48550/arxiv.1409.8444
, 2014, Global convergence of splitting methods for nonconvex composite optimization, http://dx.doi.org/10.48550/arxiv.1407.0753
, 2013, Robust SOS-Convex Polynomial Programs: Exact SDP Relaxations, http://dx.doi.org/10.48550/arxiv.1307.5386
, 2013, Analysis of the convergence rate for the cyclic projection algorithm applied to basic semi-algebraic convex sets, http://dx.doi.org/10.48550/arxiv.1304.7965