activity
20172024
most citedThe Generalized Trust Region Subproblem: solution complexity and convex hull results

19 citations · 23 across the 13 of their papers we have counts for

collaborators

15 papers

math.OC2024

On semidefinite descriptions for convex hulls of quadratic programs

Alex L. Wang, Fatma Kilinc-Karzan

Quadratically constrained quadratic programs (QCQPs) are a highly expressive class of nonconvex optimization problems. While QCQPs are NP-hard in general, they admit a natural conv…

math.OC2023

Sharpness and well-conditioning of nonsmooth convex formulations in statistical signal recovery

Lijun Ding, Alex L. Wang

We study a sample complexity vs. conditioning tradeoff in modern signal recovery problems (including sparse recovery, low-rank matrix sensing, covariance estimation, and abstract p…

math.OC2023

Hidden convexity, optimization, and algorithms on rotation matrices

Akshay Ramachandran, Kevin Shu, Alex L. Wang

This paper studies hidden convexity properties associated with constrained optimization problems over the set of rotation matrices . Such problems are nonconvex due t…

math.OC2022

Solving Stackelberg Prediction Game with Least Squares Loss via Spherically Constrained Least Squares Reformulation

Jiali Wang, Wen Huang, Rujun Jiang +2

The Stackelberg prediction game (SPG) is popular in characterizing strategic interactions between a learner and an attacker. As an important special case, the SPG with least square…

math.OC2022

Accelerated first-order methods for a class of semidefinite programs

Alex L. Wang, Fatma Kilinc-Karzan

This paper introduces a new storage-optimal first-order method (FOM), CertSDP, for solving a special class of semidefinite programs (SDPs) to high accuracy. The class of SDPs that…

math.OC2021

Implicit regularity and linear convergence rates for the generalized trust-region subproblem

Alex L. Wang, Yunlei Lu, Fatma Kilinc-Karzan

In this paper we develop efficient first-order algorithms for the generalized trust-region subproblem (GTRS), which has applications in signal processing, compressed sensing, and e…