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Are Neural Nets Modular? Inspecting Functional Modularity Through Differentiable Weight Masks

ICLR 2021 · Architectures and efficiency › RNNs and normalization · approach: Mechanistic circuit interpretability · 19 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Reuse the Pair 1 mask for Pair 2 rather than train a separate maskFNN · Double additionaccuracy (%): 100 ± 0.0 -> 1 ± 0.1Hurt
Reuse the Pair 2 mask for Pair 1 rather than train a separate maskFNN · Double additionaccuracy (%): 100 ± 0.0 -> 1 ± 0.1Hurt
Reuse the Pair 1 mask for Pair 2 rather than train a separate maskLSTM · Double additionaccuracy (%): 100 ± 0.0 -> 1 ± 0.1Hurt
Reuse the Pair 2 mask for Pair 1 rather than train a separate maskLSTM · Double additionaccuracy (%): 100 ± 0.0 -> 1 ± 0.1Hurt
Use an inverted Pair 1 mask, removing weights needed for Pair 1FNN · Double addition, Pair 2accuracy (%): 100 ± 0.0 -> 94 ± 6.7No clear effect
Use an inverted Pair 1 mask, removing weights needed for Pair 1LSTM · Double addition, Pair 2accuracy (%): 100 ± 0.0 -> 100 ± 0.2No clear effect
Use an inverted Pair 1 mask, removing weights needed for Pair 1LSTM (forced) · Double addition, Pair 2accuracy (%): 100 ± 0.0 -> 96 ± 4.1No clear effect
Initialize masks to favor already occupied weightsFNN on permuted MNIST · Permuted MNISTweight sharingHelped
Mask trained on the easy split rather than use the full networkSCAN LSTM encoder-decoder and Transformer · SCAN difficulty/generalization splitstest performanceHurt
Apply a mask trained on the easy split to the hard splitNeural networks on Mathematics Dataset · Mathematics Dataset difficulty splitsperformanceHurt
Remove weights found unnecessary for one CIFAR10 classCNNs on CIFAR10 · CIFAR10 validation classesclass accuracyHurt
Remove weights found unnecessary for one CIFAR10 classCNNs on CIFAR10 · CIFAR10 non-target classesclass accuracyNo clear effect

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