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Linear attention can only learn linear components of nonlinear functions

A new research paper explores the capabilities of linear attention mechanisms within transformers, particularly in the context of in-context learning. The study establishes a nonlinearity-noise equivalence, demonstrating that linear attention can only capture the linear component of a nonlinear target function, with the remaining nonlinear structure acting as noise. This finding allows for the transfer of existing linear theory to nonlinear tasks and highlights a limitation of the linear attention model for studying nonlinear in-context learning. AI

IMPACT Identifies a fundamental limitation in linear attention models for capturing complex nonlinear relationships in data.

RANK_REASON The cluster contains a single arXiv paper detailing theoretical research on machine learning models. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

Linear attention can only learn linear components of nonlinear functions

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The cluster contains a single arXiv paper detailing theoretical research on machine learning models. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Mary Letey, Arman Rysmakhanov, Yue M. Lu, Cengiz Pehlevan, Jacob Zavatone-Veth ·

    What can linear attention learn from nonlinear teachers in-context?

    arXiv:2610.10761v1 Announce Type: cross Abstract: Linear attention is a tractable model for understanding the mechanisms governing in-context learning in transformers. For linear regression tasks, recent asymptotic analyses have characterised its learning and generalisation behav…