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Assistant Professor
Research Interests
Statistical machine learning, high dimensional statistics, optimization and computational algorithms.Teaching
- MATH3424 Regression Analysis
Selected Publications
Article
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Semi-parametric tensor factor analysis by iteratively projected singular value decomposition
- Author(s): Chen, Eylnn Y; Xia, Dong; Cai, Chencheng; Fan, Jianqing
- Source: Journal of the Royal Statistical Society Series B: Statistical Methodology, February 2024, article number qkae001
- Year: 2024
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Latent Space Model for Higher-order Networks and Generalized Tensor Decomposition
- Author(s): Lyu, Zhongyuan; Xia, Dong; Zhang, Yuan
- Source: Journal of Computational and Graphical Statistics, February 2023
- Year: 2023
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Optimal estimation and computational limit of low-rank Gaussian mixtures
- Author(s): Lyu, Zhongyuan; Xia, Dong
- Source: Annals of Statistics, v. 51, (2), April 2023, p. 646-667
- Year: 2023
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INFERENCE FOR LOW-RANK TENSORS—NO NEED TO DEBIAS
- Author(s): Xia, Dong; Zhang, Anru R.; Zhou, Yuchen
- Source: Annals of Statistics, v. 50, (2), April 2022, p. 1220-1245
- Year: 2022
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Edgeworth Expansions for Network Moments
- Author(s): Zhang, Yuan; Xia, Dong
- Source: Annals of Statistics, v. 50, (2), April 2022, p. 726-753
- Year: 2022
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Provable Tensor-Train Format Tensor Completion by Riemannian Optimization
- Author(s): Cai, Jianfeng; Li, Jingyang; Xia, Dong
- Source: Journal of Machine Learning Research, v. 23, April 2022, article number 123, p. 1-77
- Year: 2022
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Normal approximation and confidence region of singular subspaces
- Author(s): Xia, Dong
- Source: Electronic Journal of Statistics, v. 15, (2), 2021, p. 3798-3851
- Year: 2021
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Community detection on mixture multi-layer networks via regularised tensor decomposition
- Author(s): Jing, Bing-Yi; Li, Ting; Lyu, Zhongyuan; Xia, Dong
- Source: Annals of Statistics, v. 49, (6), December 2021, p. 3181-3205
- Year: 2021
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Statistically Optimal and Computationally Efficient Low Rank Tensor Completion from Noisy Entries
- Author(s): Xia, Dong; Yuan, Ming; Zhang, Cun-hui
- Source: Annals of Statistics, v. 49, (1), February 2021, p. 76-99
- Year: 2021
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Statistical Inferences of Linear Forms for Noisy Matrix Completion
- Author(s): Xia, Dong; Yuan, Ming
- Source: Journal of the Royal Statistical Society. Series B: Statistical Methodology, v. 83, (1), February 2021, p. 58-77
- Year: 2021
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Effective Tensor Sketching via Sparsification
- Author(s): Xia, Dong; Yuan, Ming
- Source: IEEE Transactions on Information Theory, v. 67, (2), February 2021, p. 1356-1369
- Year: 2021
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Confidence Region of Singular Subspaces for Low-rank Matrix Regression
- Author(s): Xia, Dong
- Source: IEEE Transactions on Information Theory, v. 65, (11), November 2019, article number 8754764, p. 7437-7459
- Year: 2019
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On Polynomial Time Methods for Exact Low-Rank Tensor Completion
- Author(s): Xia, Dong; Yuan, Ming
- Source: Foundations of Computational Mathematics, v. 19, (6), December 2019, p. 1265-1313
- Year: 2019
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Non-asymptotic Bounds for Percentiles of Independent Non-identical Random Variables
- Author(s): Xia, Dong
- Source: Statistics and Probability Letters, v. 152, September 2019, p. 111-120
- Year: 2019
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The Sup-norm Perturbation of HOSVD and Low Rank Tensor Denoising
- Author(s): Xia, Dong; Zhou, Fan
- Source: Journal of Machine Learning Research, v. 20, 2019, article number 61, p. 1-42
- Year: 2019
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Tensor SVD: Statistical and Computational Limits.
- Author(s): Zhang, Anru; Xia, Dong
- Source: IEEE Transactions on Information Theory, v. 64, (11), May 2018, article number 8368145, p. 7311-7338
- Year: 2018
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Variable Selection of Linear Programming Discriminant Estimator
- Author(s): Xia, Dong
- Source: Commnication in Statistics - Theory and Methods, v. 46, (7), April 2017, p. 3321-3341
- Year: 2017
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Estimation of Low Rank Density Matrices by Pauli Measurements
- Author(s): Xia, Dong
- Source: Electronic Journal of Statistics, v. 11, (1), p. 50-77
- Year: 2017
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Estimation of Low Rank Density Matrices: Bounds in Schatten Norms and Other Distances
- Author(s): Xia, Dong; Koltchinskii, Vladimir
- Source: Electronic Journal of Statistics, v. 10, (2), 2016, p. 2717-2745
- Year: 2016
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Optimal Estimation of Low Rank Density Matrices
- Author(s): Koltchinskii, Vladimir; Xia, Dong
- Source: Journal of Machine Learning Research, v. 16, September 2015, p. 1757-1792
- Year: 2015
Conference paper
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Perturbation of Linear Forms of Singular Vectors Under Gaussian Noise
- Author(s): Koltchinskii, Vladimir; Xia, Dong
- Source: High Dimensional Probability VII: The Cargèse Volume, v. 71, 2016, p. 397-423, Book series: Progress in Probability
- Year: 2016