4 papers
A fresh look into variational analysis of -partly smooth functions
Nguyen T. V. Hang, Ebrahim Sarabi
-partial smoothness of functions has been an important subject of research in optimization, on both theoretical and algorithmic aspects, since it was first introduced…
Twice Epi-Differentiability of Spectral Functions and its applications
Chao Ding, Ebrahim Sarabi, Shiwei Wang
Second-order variational properties have been shown to play important theoretical and numerical roles for different classes of optimization problems. Among such properties, twice e…
Characterizations of Tilt-Stable Local Minimizers of a Class of Matrix Optimization Problems
Chao Ding, Ebrahim Sarabi, Shiwei Wang
Tilt stability plays a pivotal role in understanding how local solutions of an optimization problem respond to small, targeted perturbations of the objective. Although quadratic bu…
Smoothness of Subgradient Mappings and Its Applications in Parametric Optimization
Nguyen T. V. Hang, Ebrahim Sarabi
We demonstrate that the concept of strict proto-differentiability of subgradient mappings can play a similar role as smoothness of the gradient mapping of a function in the study o…