# Convergence Analysis of Deterministic Kernel-Based Quadrature Rules in Misspecified Settings

@article{Kanagawa2017ConvergenceAO, title={Convergence Analysis of Deterministic Kernel-Based Quadrature Rules in Misspecified Settings}, author={Motonobu Kanagawa and Bharath K. Sriperumbudur and Kenji Fukumizu}, journal={Foundations of Computational Mathematics}, year={2017}, volume={20}, pages={155-194} }

This paper presents convergence analysis of kernel-based quadrature rules in misspecified settings, focusing on deterministic quadrature in Sobolev spaces. In particular, we deal with misspecified settings where a test integrand is less smooth than a Sobolev RKHS based on which a quadrature rule is constructed. We provide convergence guarantees based on two different assumptions on a quadrature rule: one on quadrature weights and the other on design points. More precisely, we show that…

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