The seminal paper of Caponnetto and de Vito (2007) provides minimax-optimal rates for kernel ridge regression in a very general setting. Its proof, however, contains an error in its bound on the effective dimensionality. In this note, we explain the mistake, provide a correct bound, and show that the main theorem remains true.
翻译:Caponnetto 和 de Vito (2007年) 的原始论文在非常笼统的环境下提供了内核脊回归的最小最大最佳率。 但是,它的证据包含有效维度的误差。 在本说明中,我们解释错误,提供正确约束,并显示主要理论依然正确。