Agent Skill for constrained optimization via ALM/ADMM/KKT — with adversarial guards, COOP cross-skill protocol, and 20k-sim validated parameters
CIMAT graduate course on optimization. Gradient methods, constraints, CG, BFGS, and real-world applications.
MATLAB implementation for verifying 1st and 2nd order KKT optimality conditions. This tool automates the combinatorial check of all possible active and inactive constraint sets for first-order conditions and evaluates the Hessian of the Lagrangian for second-order conditions in constrained optimization problems.
Label-free representation learning and decomposition for linear programs on bipartite graphs, using BiJEPA self-supervised pretraining and a differentiable KKT finetuning objective.
A facility location optimizer for Hong Kong. Applies the Weber problem and KKT conditions to find provably optimal sites for hubs, stores, and charging stations using free open data.
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