Junren Chen

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math.ST2026

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 $θ^{*} \in R^{d}$ with $R = ∥ θ^{*} ∥_{2} \geq 1$ f…

math.ST2025

Low-Rank Tensor Estimation from Nonlinear Observations: A Unified Framework

Junren Chen, Lijun Ding, Dong Xia +1

We consider the estimation of a $d_{1} \times d_{2} \times d_{3}$ tensor $X^{⋆}$ of Tucker rank $(r_{1}, r_{2}, r_{3})$ from the nonlinear observations $\{y_i=f_i(\langle A_i,X^\star\rangle)\}_{…