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math.ST2026
Detection Is Harder Than Estimation in Certain Regimes: Inference for Moment and Cumulant Tensors
Runshi Tang, Yuefeng Han, Anru R. Zhang
We study estimation and detection of high-order cumulant tensors from i.i.d. observations of a -dimensional random vector, with performance measured in the tensor spectral n…
math.ST2026
From Reverse Detection--Estimation Gaps to Computational Lower Bounds for Norm Approximation
Runshi Tang, Yuefeng Han, Anru R. Zhang
We develop a general reduction scheme that converts reverse detection--estimation gaps into computational lower bounds for norm approximation. If an efficiently computable estimato…
math.ST2025
Statistical Inference for Low-Rank Tensor Models
Ke Xu, Elynn Chen, Yuefeng Han
Statistical inference for tensors has emerged as a critical challenge in analyzing high-dimensional data in modern data science. This paper introduces a unified framework for infer…