Research

RESEARCH INTERESTS

• Mathematical Optimization

• Numerical Analysis

• Variational Analysis.

Orcid  Google Scholar

PUBLICATIONS

2024

7. (with P.D. Khanh, and  B. S. Mordukhovich) A new inexact gradient descent method with applications to nonsmooth convex optimization, Optim. Method Softw. (2024), DOI: 10.1080/10556788.2024.2322700

6. (with P.D. Khanh, B. S. Mordukhovich, and V. T. Phat) Globally convergent coderivative-based generalized Newton methods in nonsmooth optimization, Math. Program. 205A (2024), 373-429. Link

5. (with P.D. Khanh,  H-C. Luong, and B. S. Mordukhovich) Fundamental Convergence Analysis of Sharpness-Aware Minimization, submitted

2023

4. (with P.D. Khanh, and  B. S. Mordukhovich) Inexact reduced gradient methods in nonconvex optimization, J. Optim. Theory Appl. (2023), link 

3. (with P.D. Khanh, and B. S. Mordukhovich) General Derivative-Free Optimization Methods under Global and Local Lipschitz Continuity of Gradients, submitted

2. (with P.D. Khanh, B. S. Mordukhovich, and V. T. Phat) Inexact proximal methods for weakly convex functions, submitted

1. (with P.D. Khanh, B. S. Mordukhovich, and V. T. Phat) Generalized damped Newton algorithms in nonsmooth optimization via second-order subdifferentials, J. Global Optim. 86 (1), 93-122 (2023). Link

REFEREE SERVICE

• Mathematical Programming Computation

• Optimization

• Journal of Optimization Theory and Applications

• Set-Valued and Variational Analysis

• Optimization Letters

• Vietnam Journal of Mathematics

• Bulletin of the Iranian Mathematical Society

Conferences Organizing

• 2022 SIAM Great Lakes Section Annual Meeting. Website and Flyer.

Semi-Plenary Talks

• Workshop on Nonsmooth Optimization and Applications (NOPTA 2024), University of Antwerp, Belgium. Website

Title: General derivative-free optimization methods under global and local Lipschitz continuity of gradients. Slides

Contributed Talks 

• The 24th Midwest Optimization Meeting - Workshop on Large Scale Optimization and Applications. Website

Title: Inexact reduced gradient methods in smooth nonconvex optimization. Slides

• The XIII International Symposium on Generalized Convexity and Monotonicity. Website

Title: Inexact reduced gradient methods in smooth nonconvex optimization. Slides

• Applied Mathematics - Analysis seminar at the Mathematics Department, Wayne State University.

Title: Inexact reduced gradient methods in smooth nonconvex optimization. Slides

• The 23rd Midwest Optimization Meeting (In memory of Professor Asen Dontchev (1948-2021)), Grand Valley State University, Allendale, Michigan, US, October 29 - 30, 2021. Website

Title: Generalized Damped Newton Algorithms in Nonsmooth Optimization. Slides