Small Singular Values Matter: A Random Matrix Analysis of Transformer Models

arXiv — cs.LGFriday, November 7, 2025 at 5:00:00 AM

Small Singular Values Matter: A Random Matrix Analysis of Transformer Models

A recent study delves into the singular-value spectra of weight matrices in pretrained transformer models, revealing how information is stored within these complex systems. By applying Random Matrix Theory, the researchers found significant deviations from expected patterns, indicating that these models are not just random but have learned meaningful representations. This insight is crucial as it enhances our understanding of how transformer models function, potentially leading to improvements in their design and application in various fields.
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