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math.ST2021
How rotational invariance of common kernels prevents generalization in high dimensions
Konstantin Donhauser, Mingqi Wu, Fanny Yang
Kernel ridge regression is well-known to achieve minimax optimal rates in low-dimensional settings. However, its behavior in high dimensions is much less understood. Recent work es…
math.ST2013★ 3 cited
Weak Convergence Rates of Population versus Single-Chain Stochastic Approximation MCMC Algorithms
Qifan Song, Mingqi Wu, Faming Liang
In this paper, we establish the theory of weak convergence (toward a normal distribution) for both single-chain and population stochastic approximation MCMC algorithms. Based on th…