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20242026
most citedAccelerating Inexact Successive Quadratic Approximation for Regularized Optimization Through Manifold Identification

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math.OC20265 cited

Accelerating Inexact Successive Quadratic Approximation for Regularized Optimization Through Manifold Identification

Ching-pei Lee

For regularized optimization that minimizes the sum of a smooth term and a regularizer that promotes structured solutions, inexact proximal-Newton-type methods, or successive quadr…

math.OC2026

Huge-Scale Assortment Optimization with Customer Choice: A Parallel Primal-Dual Approach

Donghao Zhu, Hanzhang Qin, Ching-pei Lee +3

We study huge-scale assortment optimization problems to maximize expected revenue under customer choice, addressing a fundamental challenge in industries such as transportation, re…

math.OC2026

Accelerated projected gradient algorithms for sparsity constrained optimization problems

Jan Harold Alcantara, Ching-pei Lee

We consider the projected gradient algorithm for the nonconvex best subset selection problem that minimizes a given empirical loss function under an -norm constraint. Throu…

math.OC2026

Revisiting Superlinear Convergence of Proximal Newton-Like Methods to Degenerate Solutions

Ching-pei Lee, Stephen J. Wright

We describe inexact proximal Newton-like methods for solving degenerate regularized optimization problems and for the broader problem of finding a zero of a generalized equation th…

math.OC2025

A four-operator splitting algorithm for nonconvex and nonsmooth optimization

Jan Harold Alcantara, Ching-pei Lee, Akiko Takeda

In this work, we address a class of nonconvex nonsmooth optimization problems where the objective function is the sum of two smooth functions (one of which is proximable) and two n…