English(EN) Active Regression for Single-Index Models with Unknown Link Functions

新的激活回归算法推动单指标模型研究

作者 PulseAugur 编辑部 · [1 个来源] · 2026-08-04 04:00

研究人员为具有未知链接函数的单指标模型开发了一种新的激活回归算法。该算法使用特定数量的查询实现了 $(1+\epsilon)$ 近似，解决了比以往研究更具挑战性的问题。该工作还为某些情况建立了近乎紧密的下界，显著缩小了这些模型中激活 $\ell_p$-回归的差距。 AI

影响推进了机器学习回归任务的理论理解和算法效率。

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arXiv cs.LG TIER_1 English(EN) · Chansophea Wathanak In, Yi Li, Wai Ming Tai, Xuan Wu · 2026-08-04 04:00

具有未知链接函数的单指标模型的活跃回归

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…