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math.OC2026
A graphical framework for global optimization of mixed-integer nonlinear programs
Danial Davarnia, Mohammadreza Kiaghadi, Junyuan Qiu
While mixed-integer linear programming and convex programming solvers have advanced significantly over the past several decades, solution technologies for general mixed-integer non…
math.OC2025
A Unifying Convexification Framework for Chance-Constrained Programs with Finite Support via Bilinear Formulations over a Simplex
Danial Davarnia, Hamed Rahimian
Chance-constrained programming is a widely used framework for decision-making under uncertainty, yet its mixed-integer reformulations over a finite support involve nonconvex mixing…
math.OC2025
A Graphical Global Optimization Framework for Parameter Estimation of Statistical Models with Nonconvex Regularization Functions
Danial Davarnia, Mohammadreza Kiaghadi
Optimization problems with norm-bounding constraints arise in a variety of applications, including portfolio optimization, machine learning, and feature selection. A common approac…