27 citations · 64 across the 7 of their papers we have counts for
7 papers
New Bounds for Exact Penalized Cardinality-Constrained Optimization with Pseudonormality Conditions
Lili Pan, Huilin Xie, Xianchao Xiu +1
Cardinality-constrained optimization (CCO) is a popular topic in sparse learning and signal recovery, yet remains challenging due to the inherent nonconvexity and discontinuity of…
0/1 Constrained Optimization Solving Sample Average Approximation for Chance Constrained Programming
Shenglong Zhou, Lili Pan, Naihua Xiu +1
Sample average approximation (SAA) is a tractable approach for dealing with chance constrained programming, a challenging stochastic optimization problem. The constraint of SAA is…
Quadratic Convergence of Smoothing Newton's Method for 0/1 Loss Optimization
Shenglong Zhou, Lili Pan, Naihua Xiu +1
It has been widely recognized that the 0/1 loss function is one of the most natural choices for modelling classification errors, and it has a wide range of applications including s…
Heaviside Set Constrained Optimization: Optimality and Newton Method
Shenglong Zhou, Lili Pan, Naihua Xiu
Data in the real world frequently involve binary status: truth or falsehood, positiveness or negativeness, similarity or dissimilarity, spam or non-spam, and to name a few, with ap…
Newton Hard Thresholding Pursuit for Sparse LCP via A New Merit Function
Shenglong Zhou, Meijuan Shang, Lili Pan +1
Solutions to the linear complementarity problem (LCP) are naturally sparse in many applications such as bimatrix games and portfolio section problems. Despite that it gives rise to…
Newton method for -regularized optimization
Shenglong Zhou, Lili Pan, Naihua Xiu
As a tractable approach, regularization is frequently adopted in sparse optimization. This gives rise to the regularized optimization, aiming at minimizing the norm or its…
Gradient Support Projection Algorithm for Affine Feasibility Problem with Sparsity and Nonnegativity
Lili Pan, Naihua Xiu, Shenglong Zhou
Let be a real measurement matrix and be an observations vector. The affine feasibility problem with sparsity and nonnegativity ( for…