Nghia T. A. Tran

Nghia T. A. Tran is an Associate Professor in the Department of Mathematics and Statistics at Oakland University, Rochester, MI, USA. His research focuses on mathematical optimization, variational analysis, and inverse problems, with applications spanning signal processing, statistics, and numerical algorithms. He serves as an Associate Editor for the journal Set-Valued and Variational Analysis.

Research Interests:
Dr. Tran specializes in:

• Nonsmooth optimization methods and variational inequalities
• Stability analysis of convex and non-convex optimization problems
• Regularization techniques for linear inverse problems
• Convergence properties of iterative algorithms

Publication Trends:
His 15 most recent publications (2016–2025) demonstrate a consistent focus on:

• Geometric characterizations of optimization stability (Lipschitz/tilt properties)
• Solution uniqueness in regularization frameworks (e.g., Lasso, nuclear norm)
• Convergence analysis of splitting methods and proximal algorithms
• Applications to matrix completion, inverse problems, and statistical learning

Works predominantly appear in premier journals including SIAM Journal on Optimization, Mathematical Programming, and Journal of Optimization Theory and Applications.