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Main Authors: Hinostroza, Cristian, Icarte, Rodrigo Toro, Devia, Christ, De Ferari, Andres Carvallo, Herrera-Berg, Eugenio, Parra, Denis, Silva, Jorge F
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.14075
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author Hinostroza, Cristian
Icarte, Rodrigo Toro
Devia, Christ
De Ferari, Andres Carvallo
Herrera-Berg, Eugenio
Parra, Denis
Silva, Jorge F
author_facet Hinostroza, Cristian
Icarte, Rodrigo Toro
Devia, Christ
De Ferari, Andres Carvallo
Herrera-Berg, Eugenio
Parra, Denis
Silva, Jorge F
contents Large language models (LLMs) have revolutionized natural language processing. Understanding their internal mechanisms is crucial for developing more interpretable and optimized architectures. Mechanistic interpretability has led to the development of various methods for assessing layer relevance, with cosine similarity being a widely used tool in the field. On this work, we demonstrate that cosine similarity is a poor proxy for the actual performance degradation caused by layer removal. Our theoretical analysis shows that a layer can exhibit an arbitrarily low cosine similarity score while still being crucial to the model's performance. On the other hand, empirical evidence from a range of LLMs confirms that the correlation between cosine similarity and actual performance degradation is often weak or moderate, leading to misleading interpretations of a transformer's internal mechanisms. We propose a more robust metric for assessing layer relevance: the actual drop in model accuracy resulting from the removal of a layer. Even though it is a computationally costly metric, this approach offers a more accurate picture of layer importance, allowing for more informed pruning strategies and lightweight models. Our findings have significant implications for the development of interpretable LLMs and highlight the need to move beyond cosine similarity in assessing layer relevance.
format Preprint
id arxiv_https___arxiv_org_abs_2605_14075
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Rethinking Layer Relevance in Large Language Models Beyond Cosine Similarity
Hinostroza, Cristian
Icarte, Rodrigo Toro
Devia, Christ
De Ferari, Andres Carvallo
Herrera-Berg, Eugenio
Parra, Denis
Silva, Jorge F
Machine Learning
Computation and Language
Large language models (LLMs) have revolutionized natural language processing. Understanding their internal mechanisms is crucial for developing more interpretable and optimized architectures. Mechanistic interpretability has led to the development of various methods for assessing layer relevance, with cosine similarity being a widely used tool in the field. On this work, we demonstrate that cosine similarity is a poor proxy for the actual performance degradation caused by layer removal. Our theoretical analysis shows that a layer can exhibit an arbitrarily low cosine similarity score while still being crucial to the model's performance. On the other hand, empirical evidence from a range of LLMs confirms that the correlation between cosine similarity and actual performance degradation is often weak or moderate, leading to misleading interpretations of a transformer's internal mechanisms. We propose a more robust metric for assessing layer relevance: the actual drop in model accuracy resulting from the removal of a layer. Even though it is a computationally costly metric, this approach offers a more accurate picture of layer importance, allowing for more informed pruning strategies and lightweight models. Our findings have significant implications for the development of interpretable LLMs and highlight the need to move beyond cosine similarity in assessing layer relevance.
title Rethinking Layer Relevance in Large Language Models Beyond Cosine Similarity
topic Machine Learning
Computation and Language
url https://arxiv.org/abs/2605.14075