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Paper · arXiv

Learning to Recall with Transformers Beyond Orthogonal Embeddings

Modern large language models (LLMs) excel at tasks that require storing and retrieving knowledge, such as factual recall and question answering. Transformers are central to this capability because they can encode information during training and retrieve it at inference. Existing theoretical analyses typically study transformers under idealized assumptions such as infinite data or orthogonal embeddings. In realistic settings, however, models are trained on finite datasets with non-orthogonal (random) embeddings. We address this gap by analyzing a single-layer transformer with random embeddings trained with (empirical) gradient descent on a simple token-retrieval task, where the model must ...

AuthorsNuri Mert Vural, Alberto Bietti, Mahdi Soltanolkotabi et al.
Primary categorystat.ML
Published16 March 2026
Last updated at source16 March 2026
stat.MLcs.LG
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