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Are Neural Nets Modular? Inspecting Functional Modularity Through Differentiable Weight Masks
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Reuse the Pair 1 mask for Pair 2 rather than train a separate mask | FNN · Double addition | accuracy (%): 100 ± 0.0 -> 1 ± 0.1 | Hurt |
| Reuse the Pair 2 mask for Pair 1 rather than train a separate mask | FNN · Double addition | accuracy (%): 100 ± 0.0 -> 1 ± 0.1 | Hurt |
| Reuse the Pair 1 mask for Pair 2 rather than train a separate mask | LSTM · Double addition | accuracy (%): 100 ± 0.0 -> 1 ± 0.1 | Hurt |
| Reuse the Pair 2 mask for Pair 1 rather than train a separate mask | LSTM · Double addition | accuracy (%): 100 ± 0.0 -> 1 ± 0.1 | Hurt |
| Use an inverted Pair 1 mask, removing weights needed for Pair 1 | FNN · Double addition, Pair 2 | accuracy (%): 100 ± 0.0 -> 94 ± 6.7 | No clear effect |
| Use an inverted Pair 1 mask, removing weights needed for Pair 1 | LSTM · Double addition, Pair 2 | accuracy (%): 100 ± 0.0 -> 100 ± 0.2 | No clear effect |
| Use an inverted Pair 1 mask, removing weights needed for Pair 1 | LSTM (forced) · Double addition, Pair 2 | accuracy (%): 100 ± 0.0 -> 96 ± 4.1 | No clear effect |
| Initialize masks to favor already occupied weights | FNN on permuted MNIST · Permuted MNIST | weight sharing | Helped |
| Mask trained on the easy split rather than use the full network | SCAN LSTM encoder-decoder and Transformer · SCAN difficulty/generalization splits | test performance | Hurt |
| Apply a mask trained on the easy split to the hard split | Neural networks on Mathematics Dataset · Mathematics Dataset difficulty splits | performance | Hurt |
| Remove weights found unnecessary for one CIFAR10 class | CNNs on CIFAR10 · CIFAR10 validation classes | class accuracy | Hurt |
| Remove weights found unnecessary for one CIFAR10 class | CNNs on CIFAR10 · CIFAR10 non-target classes | class accuracy | No clear effect |
Closest papers by meaning
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- Learning Useful Representations of Recurrent Neural Network Weight Matrices (ICML 2024 · similarity 0.85)
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- Equivariant Polynomial Functional Networks (ICML 2025 · similarity 0.84)
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