6 papers
Quantile Randomized Kaczmarz for Streaming Linear Systems with Massart Noise
Emeric Battaglia, Jian-Feng Cai, Junren Chen +3
Quantile randomized Kaczmarz (QRK) has proven to be an efficient solver for corrupted linear systems and has received much attention. It was recently shown by Cai et al. (SIAM J. M…
Minimax Optimal Estimator and Improved Error Rate for the MLE in Logistic Regression with Gaussian Design
Junren Chen, Arya Mazumdar
We study finite-sample parameter estimation in logistic regression with Gaussian design, where the goal is to estimate with f…
Near-Optimal Lower Bounds on One-Bit Compressed Sensing of Approximately Sparse Signals
Junren Chen, Arya Mazumdar, Ming Yuan
This paper provides the first near-optimal lower bounds for one-bit compressed sensing of approximately sparse signals lying in a scaled ball, which is a commonly adopted…
One-Bit Clustering for Two Component Sub-Gaussian Mixture Models
Junren Chen, Yun Yang
Clustering is a fundamental problem in statistics and machine learning. We propose the first one-bit clustering method for two-component sub-Gaussian mixture models. The method use…
Finite-Sample Performance of Gradient Descent in Logistic Regression with Gaussian Design
Junren Chen, Arya Mazumdar
We consider the parameter estimation problem in logistic regression with Gaussian design: the estimation of a fixed unknown parameter () from…
Generalized Eigenvalue Problems with Generative Priors
Zhaoqiang Liu, Wen Li, Junren Chen
Generalized eigenvalue problems (GEPs) find applications in various fields of science and engineering. For example, principal component analysis, Fisher's discriminant analysis, an…