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New active regression algorithm advances single-index model research

Researchers have developed a new active regression algorithm for single-index models with unknown link functions. This algorithm achieves a $(1+\epsilon)$-approximation using a specific number of queries, addressing a more challenging setting than previously studied. The work also establishes nearly tight lower bounds for certain cases, significantly closing the gap in active $\ell_p$-regression for these models. AI

IMPACT Advances theoretical understanding and algorithmic efficiency for regression tasks in machine learning.

RANK_REASON The cluster contains a research paper detailing a new algorithm and theoretical bounds for a specific machine learning problem. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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New active regression algorithm advances single-index model research

COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Chansophea Wathanak In, Yi Li, Wai Ming Tai, Xuan Wu ·

    Active Regression for Single-Index Models with Unknown Link Functions

    arXiv:2608.01287v1 Announce Type: cross Abstract: This paper studies active regression for single-index models under general $\ell_p$-loss with an unknown $1$-Lipschitz link function $f$, formulated as $\min_{f,x} \|f(Ax)-b\|_p^p$ with full access to $A$ but coordinate-query acce…