The paper unifies fading memory, echo states, and related memory notions in RNNs via new equivalences, implications, and alternative proofs.
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Establishes that fading memory and solution stability hold generically in state-space systems for reservoir computing even without the echo state property, with a distributional attractor perspective for stochastic cases.
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Echoes of the Past: A Unified Perspective on Fading memory and Echo States
The paper unifies fading memory, echo states, and related memory notions in RNNs via new equivalences, implications, and alternative proofs.
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Stochastic dynamics learning with state-space systems
Establishes that fading memory and solution stability hold generically in state-space systems for reservoir computing even without the echo state property, with a distributional attractor perspective for stochastic cases.