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Measured before trained: a 739-email inbox study found logistic regression beat the LLMs at routing

AspireAI community · arXiv (Federico Lucca)
Personal email agents decide what every message is, whether it is urgent, and whether to draft a reply - and their error rate is rarely measured, because the stored labels were written by the system itself. Foyer is a self-hosted inbox agent in daily use, paired with a measurement protocol that produces ground truth before any training: stratified sampling, frozen snapshots, thread-grouped splits, pre-registered hypotheses and human labels in the review loop. On 739 real Italian and English emails (231 unbiased, 500 adversarially sampled), nine systems were compared: the production keyword rules scored 28% on message type against a 58% majority class, and with about 200 labels logistic regression had the highest accuracy on every field (type 0.79, urgency 0.74, needs-reply 0.83, is-noise 0.90) - statistically tied with Gemma 4 on type, with few-shot prompting not closing the gap. Two findings transfer beyond email: the sender's relationship is recoverable at 98.6% accuracy from other emails of the same contact but is not inferable from a single message by any model, and accuracy is not the product metric - the most accurate system most often ignored emails that needed action (18% versus 4% for the best LLM). The limitation is real: this is a single-user case study and the emails are private and not released.
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