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Paper · arXiv

Efficient Test-Time Finetuning of LLMs via Convex Reconstruction and Gradient Caching

Test-time finetuning (TTFT) is a rapidly evolving paradigm that adapts a language model to each prompt by retrieving related sequences, updating the model on them, and then evaluating the prompt. However, TTFT is only practical if it is fast: selection and finetuning both happen per query, making each a direct bottleneck. Existing methods trade speed for quality: fast retrieval is often redundant, while stronger diversity-aware selection adds prohibitive per-query cost. We introduce HullFT, a geometric approach to TTFT that addresses both bottlenecks. Given a query, HullFT first represents the query embedding as a sparse convex combination of few training sequences, using efficient projec...

AuthorsAlaa Khamis, Alaa Maalouf
Primary categorycs.LG
Published28 May 2026
Last updated at source28 May 2026
cs.LG
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