Operations research, mathematical programming, control theory.
Metric-compatible coarse corrections transfer gradients across manifolds, reducing iterations and CPU time on Kohn-Sham, Gross-Pitaevskii, and segmentation problems.
Local trajectory contracts and safety envelopes let agents join or leave without central coordination, validated with up to eight race cars.
Post-processing Lagrangian dual certificates with sparsification and SDP searches cuts an FGM N=3 active set from 16 multipliers to 6.
Random subspace methods achieve convergence rates dependent on intrinsic dimensionality, not ambient dimension.
