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20232025
most citedKernel interpolation generalizes poorly

3 citations · 6 across the 7 of their papers we have counts for

collaborators

7 papers

stat.ML2025

On the Saturation Effects of Spectral Algorithms in Large Dimensions

Weihao Lu, Haobo Zhang, Yicheng Li +1

The saturation effects, which originally refer to the fact that kernel ridge regression (KRR) fails to achieve the information-theoretical lower bound when the regression function…

math.ST2024

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…

stat.ML2024★ 2 cited

On the Saturation Effect of Kernel Ridge Regression

Yicheng Li, Haobo Zhang, Qian Lin

The saturation effect refers to the phenomenon that the kernel ridge regression (KRR) fails to achieve the information theoretical lower bound when the smoothness of the undergroun…

cs.LG2024

The phase diagram of kernel interpolation in large dimensions

Haobo Zhang, Weihao Lu, Qian Lin

The generalization ability of kernel interpolation in large dimensions (i.e., for some ) might be one of the most interesting problems in the recent renaissance…

cs.LG2024

Optimal Rates of Kernel Ridge Regression under Source Condition in Large Dimensions

Haobo Zhang, Yicheng Li, Weihao Lu +1

Motivated by the studies of neural networks (e.g.,the neural tangent kernel theory), we perform a study on the large-dimensional behavior of kernel ridge regression (KRR) where the…

cs.LG2023★ 1 cited

On the Optimality of Misspecified Kernel Ridge Regression

Haobo Zhang, Yicheng Li, Weihao Lu +1

In the misspecified kernel ridge regression problem, researchers usually assume the underground true function , a less-smooth interpolation space of…

cs.LG2023★ 3 cited

Kernel interpolation generalizes poorly

Yicheng Li, Haobo Zhang, Qian Lin

One of the most interesting problems in the recent renaissance of the studies in kernel regression might be whether the kernel interpolation can generalize well, since it may help…