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math.OC2025
Near-Optimal Tensor PCA via Normalized Stochastic Gradient Ascent with Overparameterization
Shihong Ding, Yihong Gu, Yuanshi Liu +1
We study the Order- () spiked tensor model for the tensor principal component analysis (PCA) problem: given i.i.d. observations of a -th order tensor generated…
math.ST2025
Fundamental Computational Limits in Pursuing Invariant Causal Prediction and Invariance-Guided Regularization
Yihong Gu, Cong Fang, Yang Xu +2
Pursuing invariant prediction from heterogeneous environments opens the door to learning causality in a purely data-driven way and has several applications in causal discovery and…