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Weighted Automata Extraction from Recurrent Neural Networks via Regression on State Spaces

AAAI 2020 · Architectures and efficiency › RNNs and normalization · approach: RNN training dynamics and gradients · 32 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use regression-based equivalence queries with M=5 instead of breadth-first search with n=5000WFA extraction from 2-layer LSTM RNNs · More WFA-like RNNsMSE (10^-4): 4.21 -> 4.40Hurt
Use regression-based equivalence queries with M=2 instead of breadth-first search with n=5000WFA extraction from 2-layer LSTM RNNs · Realistic RNNs with nonuniform input domainsMSE (10^-4): 6.38 -> 6.02Helped
Increase the concentration threshold from M=2 to M=5 (ablation)Regression-based WFA extraction · More WFA-like RNNsMSE (10^-4): 5.45 -> 4.40Helped
Increase the concentration threshold from M=2 to M=5 (ablation)Regression-based WFA extraction · Realistic RNNs with nonuniform input domainsMSE (10^-4): 6.02 -> 6.90Hurt
Use a larger concentration threshold, M=5 rather than M=2 (ablation)Regression-based WFA extraction · wparen weighted balanced-parentheses taskrecognizable balanced-parentheses depth: depth one -> depth twoHelped
Use Gaussian process regression rather than kernel ridge regression for the configuration abstraction function (ablation)Regression-based WFA extraction · Experiments across the reported RNN tasksextraction performanceHelped
Replace RNN inference with extracted WFA inferenceTarget RNNs and their extracted WFAs · Inference-time experimentsinference speed: about 1,300 times fasterHelped

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