Jeff Elman

نویسندگان

  • Janet Wiles
  • Jeff Elman
چکیده

The broad context of this study is the investigation of the nature of computation in recurrent networks (RNs). The current study has two parts. The first is to show that a RN can solve a problem that we take to be of interest (a counting task), and the second is to use the solution as a platform for developing a more general understanding of RNs as computational mechanisms. We begin by presenting the empirical results of training RNs on the counting task. The task ( ) is the simplest possible grammar that requires a PDA or counter. A RN was trained to predict the deterministic elements in sequences of the form * where n=1 to 12. After training, it generalized to n=18. Contrary to our expectations, on analyzing the hidden unit dynamics, we find no evidence of units acting like counters. Instead, we find an oscillator. We then explore the possible range of behaviors of oscillators using iterated maps and in the second part of the paper we describe the use of iterated maps for understanding RN mechanisms in terms of “activation landscapes”. This analysis leads to used an understanding of the behavior of network generated in the simulation study.

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تاریخ انتشار 1998