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This research provides a mechanistic explanation for why adversarial training diminishes neural network superposition by eliminating non-robust features, thereby reducing the total feature count available for representation. By linking robustness directly to interpretability phenomena like superposition, the study clarifies fundamental trade-offs in model architecture and training objectives.
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Why Does Robustness Reduce Superposition?

arXiv2 min read

arXiv:2608.22155v1 Announce Type: cross Abstract: The study of adversarial examples and their origins remains an open area of research. Mechanistic interpretability, and superposition in particular, offers new avenues for approaching this problem. Gorton & Lewis (2025) demonstrate that adversarial examples arise from superposition and show empirically that adversarial training reduces superposition, yet provide no mechanistic account of why this occurs. We present an empirical explanation inspired by the feature taxonomy of Ilyas et al. (2019), tracing the following chain of causalities: adversarial training abandons non-robust features, leading to fewer total features to represent, resulting in less superposition.

Title:Why Does Robustness Reduce Superposition?

Abstract:The study of adversarial examples and their origins remains an open area of research. Mechanistic interpretability, and superposition in particular, offers new avenues for approaching this problem. Gorton & Lewis (2025) demonstrate that adversarial examples arise from superposition and show empirically that adversarial training reduces superposition, yet provide no mechanistic account of why this occurs. We present an empirical explanation inspired by the feature taxonomy of Ilyas et al. (2019), tracing the following chain of causalities: adversarial training abandons non-robust features, leading to fewer total features to represent, resulting in less superposition.

9 pages, 4 figures. Accepted at the COLM 2026 Workshop on AI Interpretability (AIW)

Machine Learning (cs.LG); Artificial Intelligence (cs.AI)

arXiv:2608.22155 [cs.LG]

(or arXiv:2608.22155v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2608.22155 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 208 words

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