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math.OC2026
From Inverse Problems to Adjoint Gradients: A Discrete, Implementation-Oriented Tutorial on PDE-Constrained Optimization
Solmaz S. Kia
The adjoint method is a standard approach for computing gradients in PDE-constrained optimization and central to parameter estimation, model calibration, and optimal control. This…
math.OC2026
Submodular Welfare under Routing Coupling: A Hierarchical Decomposition with Perturbation Guarantees
Joan Vendrell Gallart, Nhat-Minh Tang-Nguyen, Alan Kuhnle +1
This paper studies joint submodular welfare maximization and routing over graphs, where agents select items under diminishing returns and transport them through a network with cong…