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On the creation of narrow AI: hierarchy and nonlocality of neural network skills
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Studies when narrow neural networks can be trained from scratch (curriculum effects in a compositional sparse parity task) and whether pruning, group-lasso regularization, or distillation better produce small specialized models from large general ones (MNIST and Llama-3.2-1B on Python).
Problem
Creating strong but narrow AI systems: whether narrow skills can be learned from scratch on narrow data, and how to transfer particular skills from large general models into small specialized ones given that skills are distributed across network components.
Approach
Introduces compositional multitask sparse parity (CMSP), where hierarchical composite subtasks are learnable only when atomic subtasks are also in training, and shows that greedy neuron/residual pruning with recovery training, optionally with group-lasso regularization for unlearning, can outperform distillation and training from scratch in data-parameter efficiency.
Key results
- On CMSP, 27/40 networks learned the composite subtask when trained with atomic subtasks, while 0/40 learned it when trained on the composite subtask alone (within 2e9 samples).
- On MNIST even digits, pruning-based methods Pareto-dominate distillation and training from scratch, especially at high neuron counts.
- On Llama-3.2-1B Python pruning with recovery training was more data-efficient than distillation from Llama-3.1-8B or training from scratch, though attribution and random pruning recovered similarly after enough steps.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Train on atomic subtasks as well as the composite subtask, rather than on the composite subtask alone | CMSP networks · CMSP composite subtask {0,1,2,3} | convergence within 2 × 10^9 samples: 27/40 vs. 0/40 | Helped |
| Add group-lasso regularization before pruning | CMSP networks · CMSP target subtask {0,1,2} | prunable sparsity while retaining performance | Helped |
| Add group-lasso regularization before pruning | CMSP networks · CMSP unwanted subtask {3,4,5} | recoverable task performance after pruning | Hurt |
| Use pruning rather than distillation or training from scratch | MNIST even-digit classifier · MNIST even digits | data and neuron-count frontier at 97 percent test accuracy | Helped |
| Use pruning with recovery training rather than distillation or training from scratch | Llama-3.2-1B · Python documents | data-parameter frontier at target cross-entropy loss | Helped |
| Use random component pruning instead of attribution-based pruning | Llama-3.2-1B · Python documents | recovered loss: 1.301 nats | No clear effect |
| Prune at 30% sparsity with attribution scores | Llama-3.2-1B · AI2-ARC (ARC-Easy) | accuracy after finetuning: 0.65→0.69; base 0.65→0.67 | Hurt |
| Prune at 30% sparsity with attribution scores | Llama-3.2-1B · WMDP-Bio | accuracy after finetuning: 0.36→0.56; base 0.52→0.62 | Hurt |
| Prune at 30% sparsity with attribution scores | Llama-3.2-1B · WMDP-Cyber | accuracy after finetuning: 0.27→0.55; base 0.35→0.59 | Hurt |
| Prune at 30% sparsity with random neuron selection | Llama-3.2-1B · AI2-ARC (ARC-Easy) | accuracy after finetuning: 0.24→0.25; base 0.65→0.67 | Hurt |
| Prune at 30% sparsity with random neuron selection | Llama-3.2-1B · WMDP-Bio | accuracy after finetuning: 0.22→0.27; base 0.52→0.62 | Hurt |
| Prune at 30% sparsity with random neuron selection | Llama-3.2-1B · WMDP-Cyber | accuracy after finetuning: 0.27→0.27; base 0.35→0.59 | Hurt |
Surprising findings
- Attribution-based pruning performed about as well as random pruning after moderate recovery training on Llama-3.2-1B.
- Single-hidden-layer networks could still benefit from the curriculum on CMSP, despite the expected need for depth to compute hierarchical features.
Limitations
- CMSP is a contrived toy task, so the curriculum effects may not transfer to natural data.
- Greedy attribution pruning is simple and hyperparameters were not optimally scaled in the LLM experiments, so the comparison may be imperfect.
- Group lasso pruning on MNIST is highly sensitive to hyperparameters.
Experimental setup
Datasets: CMSP synthetic data MNIST GitHub Code Dataset (Python) counterfact AI2-ARC WMDP
Benchmarks: MNIST even digits counterfact AI2-ARC WMDP-Bio WMDP-Cyber
Metrics: test accuracy cross-entropy loss neuron count vs datapoints frontier unlearning success (FT score at least 10% below base)
Baselines: knowledge distillation training from scratch random pruning group lasso pruning
Builds on: multitask sparse parity sparse parity knowledge distillation group lasso
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