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Cluster-Weighted EDMD

AchievementResearchJul 14, 2026

Cluster-Weighted EDMD (CW-EDMD) jointly learns a soft phase-space partition and per-cluster EDMD operators, improving prediction accuracy over standard Extended Dynamic Mode Decomposition (EDMD) when local dynamics vary across state-space regions. Tested on Lorenz, damped pendulum, and Duffing systems across 288 paired comparisons, CW-EDMD achieved significant error reductions in 258 cases. Median one-step error reductions were 57x, 2.7x, and 12x on pendulum, Duffing, and Lorenz, respectively.

Evidence

1source· awaiting independent confirmation

No score is assigned. Sources and their independence are shown in the citation chain below.

Citation chain · 1 source

01medPRIMARY
Cluster-Weighted EDMDModelCW-EDMDModelExtended Dynamic Mode DecompositionModelEDMDModel
Canonical: https://arxiv.org/abs/2607.12243v1