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Neural Networks and the Chomsky Hierarchy

ICLR 2023 · Architectures and efficiency › RNNs and normalization · approach: Brain-inspired recurrent architectures · 44 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add a stack (Stack-RNN) to the RNN controllerRNN · Regular-to-DCF tasks (Stack Manipulation, Reverse String, Modular Arithmetic)score (%): Stack Manipulation 56.0 to 100.0; Reverse String 62.0 to 100.0; Modular Arithmetic 41.3 to 96.1Helped
Add a tape (Tape-RNN) to the RNN controllerRNN · Context-sensitive tasks (Duplicate String, Binary Addition)score (%): Duplicate String 50.3 to 100.0; Binary Addition 50.3 to 100.0Helped
Use Transformer encoder (best positional encoding) instead of RNNTransformer · Regular tasks (Parity Check, Modular Arithmetic Simple, Cycle Navigation)score (%): Parity Check 52.0, Modular Arithmetic (Simple) 24.2 vs RNN/LSTM 100.0Hurt
Use Transformer with positional encodings on Reverse StringTransformer · Reverse String (DCF)score (%): 62.3 vs RNN 62.0 and LSTM 60.9No clear effect
Use LSTM instead of RNN controllerLSTM · Bucket Sort (CS)score (%): 99.3 vs RNN 27.9Helped
Add a stack to the RNN controller (Stack-RNN) on Bucket SortStack-RNN · Bucket Sort (CS)score (%): 78.1 vs RNN 27.9Helped
Increase training data and model size for Transformers (scaling experiments) (ablation)Transformer · Context-sensitive and higher-level tasksscore (%)No clear effect
Use Transformer with positional encodings on regular tasks, distinct from permutation-invariant caseTransformer · Even Pairs (Regular)score (%): Even Pairs 96.4 solved, but Parity Check 52.0 and Cycle Navigation 61.9 failMixed

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