Publications

(Equal contribution # , Corresponding authors*.)

Complexity of Feed-Forward Neural Networks from the Perspective of Functional Equivalence

Guohao Shen*. (2024). " Complexity of Feed-Forward Neural Networks from the Perspective of Functional Equivalence. " Accepted by International Conference on Machine Learning 2024.

Nonparametric Estimation of Non-Crossing Quantile Regression Process with Deep ReQU Neural Networks

Guohao Shen # , Yuling Jiao # , Yuanyuan Lin*, Joel Horowitz and Jian Huang*. (2024). " Estimation of Non-Crossing Quantile Regression Process with Deep ReQU Neural Networks. " Journal of Machine Learning Research. 25(88):1−75.

(Preprint) Deep Neural Newsvendor

Jinhui Han, Ming Hu and Guohao Shen. (2024). Deep Neural Newsvendor. " Major Revision.

(Preprint) Differentiable Neural Networks with RePU activation: with applications to score estimation and isotonic regression.

Guohao Shen , Yuling Jiao, Yuanyuan Lin, and Jian Huang*. (2023). "Differentiable Neural Networks with RePU activation: with applications to score estimation and isotonic regression. " Under review.

Deep Nonparametric Regression on Approximate Manifolds: Non-Asymptotic Error Bounds with Polynomial Prefactors

Yuling Jiao # , Guohao Shen # , Yuanyuan Lin* and Jian Huang*. (2023). " Deep nonparametric regression on approximate manifolds: Nonasymptotic error bounds with polynomial prefactors. " Annals of Statistics. 51(2): 691-716.

Nonparametric inference on smoothed quantile regression process

Meiling Hao, Yuanyuan Lin, Guohao Shen and Wen Su*. (2022). "Nonparametric inference on smoothed quantile regression process. " Computational Statistics & Data Analysis.179, 107645.

Approximation with Deep Convolutional Networks in Sobolev Space: with Applications to Classification

Guohao Shen # , Yuling Jiao # , Yuanyuan Lin* and Jian Huang*. (2022). "Approximation with Deep Convolutional Networks in Sobolev Space: with Applications to Classification. " Advances in Neural Information Processing Systems 35 (NeurIPS 2022). "Oral" paper .

Linearized Maximum Rank Correlation Estimation

Guohao Shen, Kani Chen, Jian Huang and Yuanyuan Lin*. (2022). "Linearized Maximum Rank Correlation Estimation. " Biometrika, 110(1), 187–203.

Robust Postselection Inference of High-dimensional Mean Regression with Heavy-tailed Asymmetric or Heteroskedastic Errors

Dongxiao Han, Jian Huang, Yuanyuan Lin* and Guohao Shen (2021). " Robust Postselection Inference of High-dimensional Mean Regression with Heavy-tailed Asymmetric or Heteroskedastic Errors " Journal of Econometrics,230(2),416-431.

Efficient fused learning for distributed imbalanced data

Jie Zhou, Guohao Shen, Chen Xuan and Yuanyuan Lin. (2020). "Efficient fused learning for distributed imbalanced data. " Communications in Statistics - Theory and Methods,51(5),1306-1317.

(Preprint)Robust Nonparametric Regression with Deep Neural Networks

Guohao Shen # , Yuling Jiao # , Yuanyuan Lin* and Jian Huang*. (2022). "Robust Nonparametric Regression with Deep Neural Networks. " .

(Preprint)Deep Quantile Regression: Mitigating the Curse of Dimensionality Through Composition

Guohao Shen # , Yuling Jiao # , Yuanyuan Lin*, Joel Horowitz and Jian Huang*. (2022). "Deep Quantile Regression: Mitigating the Curse of Dimensionality Through Composition. " Submitted.

(Preprint)Nonparametric Quantile Regression: Non-Crossing Constraints and Conformal Prediction

Wenlu Tang # , Guohao Shen # , Yuanyuan Lin* and Jian Huang*. (2022). "Nonparametric Quantile Regression: Non-Crossing Constraints and Conformal Prediction. " Submitted.

(Preprint)An Error Analysis of Deep Density-Ratio Estimation with Bregman Divergence

Siming Zheng, Guohao Shen, Yuling Jiao, Yuanyuan Lin* and Jian Huang*. (2022). "An Error Analysis of Deep Density-Ratio Estimation with Bregman Divergence. " Submitted.


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