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Feb, 2024
噪声无关情况下核岭回归的对偶分析
A Duality Analysis of Kernel Ridge Regression in the Noiseless Regime
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Jihao Long, Xiaojun Peng, Lei Wu
TL;DR
我们对核岭回归的泛化性质在无噪声情况下进行了综合分析，证明了核岭回归能够达到最小最优速率，该速率取决于相关核函数的特征值衰减和目标函数的相对平滑度。
Abstract
In this paper, we conduct a comprehensive analysis of
generalization properties
of
kernel ridge regression
(KRR) in the noiseless regime, a scenario crucial to scientific computing, where data are often generated
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