Research & Publications

Published Papers

• Giovannelli, T., Kent, G. D., Vicente, L. N. (2025). "Inexact Bilevel Stochastic Gradient Methods for Constrained and Unconstrained Lower-Level Problems." Published in Journal of Global Optimization.

• Giovannelli, T., Kent, G. D., Vicente, L. N. (2024). "Bilevel Optimization with a Multi-Objective Lower-Level Problem: Risk-Neutral and Risk-Averse Formulations." Published in Optimization Methods and Software.

• Abramson, M. A., Kent, G. D., Smith, G. W. (2021). "Penetration Depth Between Two Convex Polyhedra: An Efficient Stochastic Global Optimization Approach." Published in IEEE Transactions on Visualizations and Computer Graphics.

Submitted Papers

• Giovannelli, T., Kent, G. D., Vicente, L. N. "A Stochastic Gradient Method for Trilevel Optimization." Pre-print under review.

Master's Thesis

• Kent, G. D. (2021). "On the Steepest Descent Method for Bilevel Optimization." Lehigh University.

Ph.D. Dissertation

• Kent, G. D. (2025). "Stochastic Methods for Multi-Level and Multi-Objective Optimization". Lehigh University.