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• W1521000595 abstract "In this note we consider the autoregressive moving average recurrent neural network ARMA-NN(1, 1) process. We show that in contrast to the pure autoregressive process simple ARMA-NN processes exist which are not irreducible. We prove that the controllability of the linear part of the process is sufficient for irreducibility. For the irreducible process essentially the shortcut weight corresponding to the autoregressive part determines whether the overall process is ergodic and stationary." @default.
• W1521000595 created "2016-06-24" @default.
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• W1521000595 date "1999-01-01" @default.
• W1521000595 modified "2023-09-26" @default.
• W1521000595 title "On the Ergodicity and Stationarity of the ARMA(1,1) Recurrent Neural Network Process" @default.
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