327 citations · 2.1k across the 124 of their papers we have counts for
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Robust One-Bit Recovery via ReLU Generative Networks: Near-Optimal Statistical Rate and Global Landscape Analysis
Shuang Qiu, Xiaohan Wei, Zhuoran Yang
We study the robust one-bit compressed sensing problem whose goal is to design an algorithm that faithfully recovers any sparse target vector \textit{uniformly…
Curse of Heterogeneity: Computational Barriers in Sparse Mixture Models and Phase Retrieval
Jianqing Fan, Han Liu, Zhaoran Wang +1
We study the fundamental tradeoffs between statistical accuracy and computational tractability in the analysis of high dimensional heterogeneous data. As examples, we study sparse…
Tensor Methods for Additive Index Models under Discordance and Heterogeneity
Krishnakumar Balasubramanian, Jianqing Fan, Zhuoran Yang
Motivated by the sampling problems and heterogeneity issues common in high- dimensional big datasets, we consider a class of discordant additive index models. We propose method of…
On Stein's Identity and Near-Optimal Estimation in High-dimensional Index Models
Zhuoran Yang, Krishnakumar Balasubramanian, Han Liu
We consider estimating the parametric components of semi-parametric multiple index models in a high-dimensional and non-Gaussian setting. Such models form a rich class of non-linea…