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math.OC2022
Stochastic Halpern Iteration with Variance Reduction for Stochastic Monotone Inclusions
Xufeng Cai, Chaobing Song, Cristóbal Guzmán +1
We study stochastic monotone inclusion problems, which widely appear in machine learning applications, including robust regression and adversarial learning. We propose novel varian…
stat.ML2022★ 2 cited
On Average-Case Error Bounds for Kernel-Based Bayesian Quadrature
Xu Cai, Chi Thanh Lam, Jonathan Scarlett
In this paper, we study error bounds for {\em Bayesian quadrature} (BQ), with an emphasis on noisy settings, randomized algorithms, and average-case performance measures. We seek t…