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math.ST2026
High-dimensional ridgeless least squares interpolation under spiked covariance structures
Zhijun Liu, Dandan Jiang
This paper investigates the asymptotic behavior of the out-of-sample prediction risk of the high-dimensional ridgeless least-squares estimator when the feature dimension and th…
math.ST2026
Phase Transition of Spectral Fluctuations in Large Gram Matrices with a Variance Profile: A Unified Framework for Sparse CLTs
Rui Wang, Guangming Pan, Dandan Jiang
We study the asymptotic spectral behavior of high-dimensional random Gram matrices with sparsity and a variance profile, motivated by applications in wireless communications. Speci…
math.ST2025
Inference on testing the number of spikes in a high-dimensional generalized spiked Fisher matrix
Rui Wang, Dandan Jiang
The spiked Fisher matrix is a significant topic for two-sample problems in multivariate statistical inference. This paper is dedicated to testing the number of spikes in a high-dim…