Position: Mechanistic Interpretability Should Prioritize Feature Consistency in SAEs

Fuente: arXiv
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Main Authors: Song, Xiangchen, Muhamed, Aashiq, Zheng, Yujia, Kong, Lingjing, Tang, Zeyu, Diab, Mona T., Smith, Virginia, Zhang, Kun
Format: Preprint
Published: 2025
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author Song, Xiangchen
Muhamed, Aashiq
Zheng, Yujia
Kong, Lingjing
Tang, Zeyu
Diab, Mona T.
Smith, Virginia
Zhang, Kun
author_facet Song, Xiangchen
Muhamed, Aashiq
Zheng, Yujia
Kong, Lingjing
Tang, Zeyu
Diab, Mona T.
Smith, Virginia
Zhang, Kun
contents Sparse Autoencoders (SAEs) are a prominent tool in mechanistic interpretability (MI) for decomposing neural network activations into interpretable features. However, the aspiration to identify a canonical set of features is challenged by the observed inconsistency of learned SAE features across different training runs, undermining the reliability and efficiency of MI research. This position paper argues that mechanistic interpretability should prioritize feature consistency in SAEs -- the reliable convergence to equivalent feature sets across independent runs. We propose using the Pairwise Dictionary Mean Correlation Coefficient (PW-MCC) as a practical metric to operationalize consistency and demonstrate that high levels are achievable (0.80 for TopK SAEs on LLM activations) with appropriate architectural choices. Our contributions include detailing the benefits of prioritizing consistency; providing theoretical grounding and synthetic validation using a model organism, which verifies PW-MCC as a reliable proxy for ground-truth recovery; and extending these findings to real-world LLM data, where high feature consistency strongly correlates with the semantic similarity of learned feature explanations. We call for a community-wide shift towards systematically measuring feature consistency to foster robust cumulative progress in MI.
format Preprint
id arxiv_https___arxiv_org_abs_2505_20254
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Position: Mechanistic Interpretability Should Prioritize Feature Consistency in SAEs
Song, Xiangchen
Muhamed, Aashiq
Zheng, Yujia
Kong, Lingjing
Tang, Zeyu
Diab, Mona T.
Smith, Virginia
Zhang, Kun
Machine Learning
Artificial Intelligence
Computation and Language
Sparse Autoencoders (SAEs) are a prominent tool in mechanistic interpretability (MI) for decomposing neural network activations into interpretable features. However, the aspiration to identify a canonical set of features is challenged by the observed inconsistency of learned SAE features across different training runs, undermining the reliability and efficiency of MI research. This position paper argues that mechanistic interpretability should prioritize feature consistency in SAEs -- the reliable convergence to equivalent feature sets across independent runs. We propose using the Pairwise Dictionary Mean Correlation Coefficient (PW-MCC) as a practical metric to operationalize consistency and demonstrate that high levels are achievable (0.80 for TopK SAEs on LLM activations) with appropriate architectural choices. Our contributions include detailing the benefits of prioritizing consistency; providing theoretical grounding and synthetic validation using a model organism, which verifies PW-MCC as a reliable proxy for ground-truth recovery; and extending these findings to real-world LLM data, where high feature consistency strongly correlates with the semantic similarity of learned feature explanations. We call for a community-wide shift towards systematically measuring feature consistency to foster robust cumulative progress in MI.
title Position: Mechanistic Interpretability Should Prioritize Feature Consistency in SAEs
topic Machine Learning
Artificial Intelligence
Computation and Language
url https://arxiv.org/abs/2505.20254