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math.ST2026
Optimal Confidence Band for Kernel Gradient Flow Estimator
Yuqian Cheng, Zhuo Chen, Qian Lin
In this paper, we investigate the supremum-norm generalization error and the uniform inference for a specific class of kernel regression methods, namely the kernel gradient flows.…
math.ST2025
On the Pinsker bound of inner product kernel regression in large dimensions
Weihao Lu, Jialin Ding, Haobo Zhang +1
Building on recent studies of large-dimensional kernel regression, particularly those involving inner product kernels on the sphere , we investigate the Pinsker bou…
math.ST2024
On the Optimality of Misspecified Spectral Algorithms
Haobo Zhang, Yicheng Li, Qian Lin
In the misspecified spectral algorithms problem, researchers usually assume the underground true function , a less-smooth interpolation space of a r…