Extends alternating numerical scheme from full-dimensional to elliptic lower-dimensional quasi-periodic solutions with a priori bounds, demonstrated on Hénon-Heiles and FPU models using multi-scale analysis and resolvent gluing.
Numerische Mathematik , volume=
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Proposes federated adaptive optimizers (FedAdagrad, FedAdam, FedYogi) with convergence analysis for non-convex objectives under data heterogeneity and reports empirical gains over FedAvg.
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Numerical Construction of Elliptic Lower-Dimensional Quasi-Periodic Solutions with a Priori Bound
Extends alternating numerical scheme from full-dimensional to elliptic lower-dimensional quasi-periodic solutions with a priori bounds, demonstrated on Hénon-Heiles and FPU models using multi-scale analysis and resolvent gluing.
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Adaptive Federated Optimization
Proposes federated adaptive optimizers (FedAdagrad, FedAdam, FedYogi) with convergence analysis for non-convex objectives under data heterogeneity and reports empirical gains over FedAvg.