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math.OC2026
Diffusion-Robust Optimization over Graphs
Liviu Aolaritei, Ricky Huang, Michael I. Jordan +1
We introduce a diffusion-based uncertainty model for robust optimization on directed graphs, in which perturbations of edge weights propagate along adjacent edges and satisfy conse…
math.OC2026
A Barrier-Metric First-Order Method for Linearly Constrained Bilevel Optimization
Tenglong Hong, Paul Grigas
We study bilevel optimization with a fixed polyhedral lower feasible set. Such problems are challenging for two reasons: active-set changes can make the upper objective nonsmooth,…
math.OC2026
Direct Spectral Acceleration of First-Order Methods for Saddle Point Problems with Bilinear Coupling
Meng Li, Paul Grigas
We study convex-concave saddle point problems with bilinear coupling, covering linearly constrained convex optimization and more general nonsmooth or constrained models via a proxi…