An autoencoder that hard-codes the analytic tent-to-logistic conjugacy in its latent layer learns continuous 1D chaotic maps with lower error and less gradient vanishing than a learned-conjugacy autoencoder, a plain feedforward net, or a PINN.
Extremes and recurrence in dynamical systems
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An Improved Autoencoder Conjugacy Network to Learn Chaotic Maps
An autoencoder that hard-codes the analytic tent-to-logistic conjugacy in its latent layer learns continuous 1D chaotic maps with lower error and less gradient vanishing than a learned-conjugacy autoencoder, a plain feedforward net, or a PINN.