Fixing an error in Caponnetto and de Vito (2007)
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Abstract (arXiv)
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.
Key facts. Cited by 3 papers in the map (data through 14 Oct 2026). First posted on arXiv 9 Feb 2017.
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Citing papers per year: 2021: 2; 2022: 0; 2023: 0; 2024: 0; 2025: 0; 2026: 1.
3 papers.
- 2021Proximal Causal Learning with Kernels: Two-Stage Estimation and Moment Restrictioncited by 55
- 2021Kernel Ridge Riesz Representers: Generalization, Mis-specification, and the Counterfactual Effective Dimensioncited by 6
- 2026Finite-Sample Theory for Fitted Q-Iteration When Actions Are Functionscited by 0
- 2026Finite-Sample Theory for Fitted Q-Iteration When Actions Are Functions28 Sep 2026
- 2021Proximal Causal Learning with Kernels: Two-Stage Estimation and Moment Restriction10 May 2021
- 2021Kernel Ridge Riesz Representers: Generalization, Mis-specification, and the Counterfactual Effective Dimension22 Feb 2021