On Dominant Manifolds in Reservoir Computing Networks

arXiv:2604.05967 · cs.LG, math.DS, math.OC · Submitted 2026-04-07 · Read on arXiv

cs.LG, math.DS, math.OC

Submitted: 2026-04-07

Updated: 2026-09-20

Comments: 8 pages, 3 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Reservoir Computing — 12× in this paper
• Generalization — 2× in this paper · explained in 13 episodes
• Activation Function — 1× in this paper · explained in 1 episode
• Core — 1× in this paper · explained in 2 episodes
• Dynamic Mode Decomposition (DMD) — 1× in this paper · explained in 3 episodes
• Exact Dynamic Mode Decomposition — 1× in this paper
• Limit Cycles — 1× in this paper · explained in 2 episodes
• Spectral Gap — 1× in this paper · explained in 5 episodes
• System Identification — 1× in this paper · explained in 3 episodes
• Time Series Forecasting — 1× in this paper · explained in 3 episodes

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