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Data Distributional Properties As Inductive Bias for Systematic Generalization
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Shows that training-data distributional properties (color diversity, burstiness, latent intervention) induce systematic generalization in a small multimodal Transformer on a CLEVR-like masked-language task, linked to lower NMI and greater representational parallelism.
Problem
Deep networks fail at systematic generalization to unseen combinations of latent attributes, and the role of training data distributional properties as inductive biases for SG in multimodal models is understudied.
Approach
Treats data distribution properties (diversity of attribute values, burstiness limiting values per image, and random latent intervention) as inductive biases, and explains their effect via NMI between attributes and the parallelism (p-score) of learned representations.
Key results
- Increasing color diversity from 8 to 216 colors yields up to an 89% absolute OOD accuracy gain on the shape task.
- Burstiness raises shape OOD accuracy by up to 14.8% while reducing color task accuracy by up to 14.3%.
- Latent intervention (hue jitter) increases shape OOD accuracy by up to 15%; p-score correlates with OOD shape accuracy at Pearson 0.73.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Increase training color diversity from 8 to 216 colors | Transformer encoder · CLEVR-style test-OOD (shape) | accuracy: 89% absolute increase | Helped |
| Use 216-color training data with only 25% of the original training size (ablation) | Transformer encoder · CLEVR-style test-OOD (shape) | accuracy | Helped |
| Limit the number of colors available in each training image | Transformer encoder · CLEVR-style test-OOD (shape) | accuracy: up to 14.8% | Helped |
| Limit the number of colors available in each training image | Transformer encoder · CLEVR-style test-OOD (color) | accuracy: up to 14.3% decline | Hurt |
| Randomly alter color hue during training | Transformer encoder · CLEVR-style test-OOD (shape) | accuracy: up to 15% | Helped |
| Increase training dataset size for the 8-color baseline (ablation) | Transformer encoder · CLEVR-style test-OOD (shape) | accuracy | Hurt |
| Reduce the residual stream dimension of the 8-color baseline (ablation) | Transformer encoder · CLEVR-style test-OOD (shape) | accuracy | Hurt |
| Increase the residual stream dimension of the 216-color model (ablation) | Transformer encoder · CLEVR-style test-OOD (shape) | accuracy | No clear effect |
| Increase color diversity (ablation) | Transformer encoder · CLEVR-style test-OOD (color) | accuracy: ⇠6% | Mixed |
| Increase color diversity (ablation) | Transformer encoder · CLEVR-style test-OOD (material and size) | accuracy | Helped |
| Increase burstiness (ablation) | Transformer encoder · CLEVR-style test-OOD (material and size) | accuracy: at most 1% gain | No clear effect |
| Increase latent intervention on color (ablation) | Transformer encoder · CLEVR-style test-OOD (material and size) | accuracy: up to 2% | Helped |
Surprising findings
- Adding more in-distribution training data (with 8 colors) slightly degrades OOD performance rather than improving it.
- Lack of model capacity does not explain the systematic generalization gains from diversity.
Limitations
- Experiments are on a synthetic CLEVR-like dataset with only three shapes and limited attributes.
- Burstiness improves shape generalization at the cost of color task performance.
Experimental setup
Datasets: CLEVR-like synthetic dataset generated with CLEVR code
Benchmarks: CLEVR-like systematic split (in-distribution and out-of-distribution)
Metrics: accuracy p-score NMI DCI disentanglement DCI completeness
Baselines: 8-color baseline model
Builds on: CLEVR Chan et al. burstiness in-context learning Abbe et al. NMI and systematic generalization in CLIP p-score parallelism metric
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