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Main Authors: Silverstein, Eva, Kunin, Daniel, Shyam, Vasudev
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2601.22257
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author Silverstein, Eva
Kunin, Daniel
Shyam, Vasudev
author_facet Silverstein, Eva
Kunin, Daniel
Shyam, Vasudev
contents The attention mechanism in its standard implementation contains extraneous rotational degrees of freedom that are carried through computation but do not affect model activations or outputs. We introduce a simple symmetry-breaking protocol that inserts a preferred direction into this rotational space through batchwise-sampled, unlearned query and value biases. This modification has two theoretically motivated and empirically validated consequences. First, it can substantially improve the performance of simple, memory-efficient optimizers, narrowing -- and in some cases closing -- the gap to successful but more complex memory-intensive adaptive methods. We demonstrate this by pretraining 124M parameter transformer models with four optimization algorithms (AdamW, SOAP, SGDM, and Energy Conserving Descent(ECD)) and evaluating both validation loss and downstream logical reasoning. Second, it enables an interpretable use of otherwise redundant rotational degrees of freedom, selectively amplifying semantically meaningful token classes within individual attention heads. Overall, our results show that minimal, principled architectural changes can simultaneously improve performance and interpretability.
format Preprint
id arxiv_https___arxiv_org_abs_2601_22257
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Symmetry Breaking in Transformers for Efficient and Interpretable Training
Silverstein, Eva
Kunin, Daniel
Shyam, Vasudev
Machine Learning
High Energy Physics - Theory
The attention mechanism in its standard implementation contains extraneous rotational degrees of freedom that are carried through computation but do not affect model activations or outputs. We introduce a simple symmetry-breaking protocol that inserts a preferred direction into this rotational space through batchwise-sampled, unlearned query and value biases. This modification has two theoretically motivated and empirically validated consequences. First, it can substantially improve the performance of simple, memory-efficient optimizers, narrowing -- and in some cases closing -- the gap to successful but more complex memory-intensive adaptive methods. We demonstrate this by pretraining 124M parameter transformer models with four optimization algorithms (AdamW, SOAP, SGDM, and Energy Conserving Descent(ECD)) and evaluating both validation loss and downstream logical reasoning. Second, it enables an interpretable use of otherwise redundant rotational degrees of freedom, selectively amplifying semantically meaningful token classes within individual attention heads. Overall, our results show that minimal, principled architectural changes can simultaneously improve performance and interpretability.
title Symmetry Breaking in Transformers for Efficient and Interpretable Training
topic Machine Learning
High Energy Physics - Theory
url https://arxiv.org/abs/2601.22257