A tractable mean-field model casts self-organized robustness as meta-optimization, producing a self-consistent seascape whose shape accelerates relaxation via optimized Wasserstein gradient flow and preferentially encodes slow or frequently perturbed modes under limited communication.
Meta optimal transport.arXiv preprint arXiv:2206.05262,
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Formalizes nonlinear M2M regression and introduces transformer architectures as static maps and dynamic velocity fields between probability measures, tested on synthetic, particle, and organoid datasets.
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Self-organized robustness in mean-field interacting systems
A tractable mean-field model casts self-organized robustness as meta-optimization, producing a self-consistent seascape whose shape accelerates relaxation via optimized Wasserstein gradient flow and preferentially encodes slow or frequently perturbed modes under limited communication.