activity
20162026
most citedImplicit Regularization in Nonconvex Statistical Estimation: Gradient Descent Converges Linearly for Phase Retrieval, Matrix Completion, and Blind Deconvolution

228 citations · 392 across the 12 of their papers we have counts for

collaborators

13 papers

math.OC2026

MINTS: Minimalist Thompson Sampling

Kaizheng Wang

The Bayesian paradigm offers principled tools for sequential decision-making under uncertainty, but its reliance on a probabilistic model for all parameters can hinder the incorpor…

stat.ME2026

Optimal Semiparametric Dynamic Pricing with Feature Diversity

Jinhang Chai, Yaqi Duan, Jianqing Fan +1

We study contextual dynamic pricing under a semiparametric demand model in which the purchase probability is , where captures mean utility as…

stat.ML2024

Localized exploration in contextual dynamic pricing achieves dimension-free regret

Jinhang Chai, Yaqi Duan, Jianqing Fan +1

We study the problem of contextual dynamic pricing with a linear demand model. We propose a novel localized exploration-then-commit (LetC) algorithm which starts with a pure explor…

math.ST2023★ 3 cited

Learning Gaussian Mixtures Using the Wasserstein-Fisher-Rao Gradient Flow

Yuling Yan, Kaizheng Wang, Philippe Rigollet

Gaussian mixture models form a flexible and expressive parametric family of distributions that has found applications in a wide variety of applications. Unfortunately, fitting thes…

stat.ML2022

Adaptive and Robust Multi-Task Learning

Yaqi Duan, Kaizheng Wang

We study the multi-task learning problem that aims to simultaneously analyze multiple datasets collected from different sources and learn one model for each of them. We propose a f…

math.ST2020★ 2 cited

An theory of PCA and spectral clustering

Emmanuel Abbe, Jianqing Fan, Kaizheng Wang

Principal Component Analysis (PCA) is a powerful tool in statistics and machine learning. While existing study of PCA focuses on the recovery of principal components and their asso…

stat.ML2019

Communication-Efficient Accurate Statistical Estimation

Jianqing Fan, Yongyi Guo, Kaizheng Wang

When the data are stored in a distributed manner, direct application of traditional statistical inference procedures is often prohibitive due to communication cost and privacy conc…

stat.ME2018★ 11 cited

Robust high dimensional factor models with applications to statistical machine learning

Jianqing Fan, Kaizheng Wang, Yiqiao Zhong +1

Factor models are a class of powerful statistical models that have been widely used to deal with dependent measurements that arise frequently from various applications from genomic…

cs.LG2017★ 228 cited

Implicit Regularization in Nonconvex Statistical Estimation: Gradient Descent Converges Linearly for Phase Retrieval, Matrix Completion, and Blind Deconvolution

Cong Ma, Kaizheng Wang, Yuejie Chi +1

Recent years have seen a flurry of activities in designing provably efficient nonconvex procedures for solving statistical estimation problems. Due to the highly nonconvex nature o…

math.ST2017★ 54 cited

Entrywise Eigenvector Analysis of Random Matrices with Low Expected Rank

Emmanuel Abbe, Jianqing Fan, Kaizheng Wang +1

Recovering low-rank structures via eigenvector perturbation analysis is a common problem in statistical machine learning, such as in factor analysis, community detection, ranking,…

stat.ML2017★ 68 cited

Spectral Method and Regularized MLE Are Both Optimal for Top- Ranking

Yuxin Chen, Jianqing Fan, Cong Ma +1

This paper is concerned with the problem of top- ranking from pairwise comparisons. Given a collection of items and a few pairwise comparisons across them, one wishes to ide…

stat.CO2017★ 26 cited

Distributed Estimation of Principal Eigenspaces

Jianqing Fan, Dong Wang, Kaizheng Wang +1

Principal component analysis (PCA) is fundamental to statistical machine learning. It extracts latent principal factors that contribute to the most variation of the data. When data…

stat.ME2016

Factor-Adjusted Regularized Model Selection

Jianqing Fan, Yuan Ke, Kaizheng Wang

This paper studies model selection consistency for high dimensional sparse regression when data exhibits both cross-sectional and serial dependency. Most commonly-used model select…