Proves finite-sample bounds for the optimal coupling in unbalanced entropic OT via compactness and strong convexity of a translation-invariant dual.
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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.
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Sample complexity of unbalanced entropic OT
Proves finite-sample bounds for the optimal coupling in unbalanced entropic OT via compactness and strong convexity of a translation-invariant dual.
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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.