Transformer with linear self-attention learns closed-form regression solutions

By PulseAugur Editorial · [1 sources] · 2026-07-20 04:00

Researchers have developed a transformer model utilizing linear self-attention to learn closed-form solutions for simple linear regression tasks. Unlike models that rely on gradient descent, this approach approximates the least squares estimate using layer normalization. Experiments show the model, trained with L1 regularization, effectively learns this analytical solution. AI

IMPACT This research could lead to more efficient and interpretable transformer models for regression tasks.

RANK_REASON The cluster contains an academic paper detailing a new approach to in-context learning in transformers. [lever_c_demoted from research: ic=1 ai=1.0]

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Transformer with linear self-attention learns closed-form regression solutions

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arXiv cs.AI TIER_1 English(EN) · Katsuyuki Hagiwara · 2026-07-20 04:00

In-context learning of closed form solution to simple linear regression task using transformer with linear self-attention

arXiv:2607.15819v1 Announce Type: cross Abstract: In-context learning is a remarkable property of transformers and has recently received a lot of interest. In many studies of in-context learning, it has been shown that transformers are capable of implementing solver for linear an…

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In-context learning of closed form solution to simple linear regression task using transformer with linear self-attention

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