Dynamics of Reservoir Computing at the Edge of Stability
We investigate reservoir computing systems whose dynamics are at critical bifurcation points based on center manifold theorem. We take echo state networks as an example and show that the center manifold defines mapping of the input dynamics to higher dimensional space. We also show that the mapping by center manifolds can contribute to recognition of attractors of input dynamics. The implications for realization of reservoir computing as real physical systems are also discussed.
KeywordsReservoir computing Echo state network Bifurcation phenomena Center manifold theory Physical reservoir
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