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SAE features show measurable pairwise interactions in model behavior

huggingface.co by Haotian Ma et al. Editor score 8/10

The paper defines SAE Additivity Residuals and finds lower first-order residuals for learned coordinates across 18 model-behavior settings, while pairwise terms improve held-out coalition ordering. Its measured results caution against assuming sparse features have additive effects when interpreting or steering models.

What
The paper introduces SAE Additivity Residuals to measure behavioral variation unexplained by interactions up to a chosen order.
Method
Learned SAE coordinates had lower first-order residuals than rotated coordinates, but pairwise terms improved held-out coalition ordering in every setting.
Why it matters
Engineers interpreting or steering models may need to account for interactions between features, not just individual feature effects.

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