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math.ST2026
Phase transitions and approximations of mean squared error for state-space models with fractional differencing
Prabir Burman, Xiucai Ding, Robert H. Shumway
We study trend estimation in state-space models in which the trend has a fractional stochastic difference of order and the observation errors form a short-range-dependent sta…
stat.ME2026
Bias-Corrected Multiplier Bootstrap Inference for Spectral Edges of Large Covariance Matrices
Xiucai Ding, Yichen Hu, Jiahui Xie
Inference for spectral edges of large covariance matrices is a fundamental problem in high-dimensional statistics. A major difficulty is that the largest non-spiked sample eigenval…
stat.ML2026
Generalized Robust Adaptive-Bandwidth Multi-View Manifold Learning in High Dimensions with Noise
Xiucai Ding, Chao Shen, Hau-Tieng Wu
Multiview datasets are common in scientific and engineering applications, yet existing fusion methods offer limited theoretical guarantees, particularly in the presence of heteroge…