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A recurrent neural network without chaos

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arxiv 1612.06212 v1 pith:I46IDEIM submitted 2016-12-19 cs.NE cs.CLcs.LG

classification cs.NEcs.CLcs.LG
keywords gatedarchitecturesnetworkneuralrecurrentsimpleachievesbehavior
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We introduce an exceptionally simple gated recurrent neural network (RNN) that achieves performance comparable to well-known gated architectures, such as LSTMs and GRUs, on the word-level language modeling task. We prove that our model has simple, predicable and non-chaotic dynamics. This stands in stark contrast to more standard gated architectures, whose underlying dynamical systems exhibit chaotic behavior.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Chaos-Free Networks are Stable Recurrent Neural Networks

    math.OC 2026-03 conditional novelty 6.0 of 10

    Decoupled-Gate Networks, a structural simplification of Chaos-Free Networks, are unconditionally incrementally input-to-state stable by design for nonlinear system identification.

  2. Algorithm Development in Neural Networks: Insights from the Streaming Parity Task

    cs.LG 2025-07 conditional novelty 6.0 of 10

    RNNs trained on short parity sequences can suddenly generalize to arbitrary length by merging hidden states that agree on future outputs, forming a finite automaton.

  3. Hyperpruning: Efficient Search through Pruned Variants of Recurrent Neural Networks Leveraging Lyapunov Spectrum

    cs.LG 2025-06 conditional novelty 6.0 of 10

    A Lyapunov-spectrum-based distance to the dense network lets hyperparameter search for pruned RNNs stop early and select models that beat both loss-based baselines and the dense originals.

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