Research

故君子百行,殊涂而同致,循性而动,各附所安。—— 嵇康《与山巨源绝交书》

In order to continue to exist, desire must have its objects perpetually absent.

\((\alpha\mkern-1mu{-}\mkern-1mu\beta)\) denotes that author names are listed in alphabetical order.

2026

  1. arXiv
    Dumitriu2026SingularVectors.png
    Singular vectors of sparse random rectangular matrices: Transition between delocalized and semilocalized phases
    Ioana Dumitriu and Hai-Xiao Wang \((\alpha\mkern-1mu{-}\mkern-1mu\beta)\)
    arXiv preprint arXiv:2610.22658, 2026
  2. arXiv
    Wang2026ConcentrationRegularization.png
    Concentration of Regularized Sparse Random Matrices: Spectral Edge Bounds via Nonbacktracking Operators
    Hai-Xiao Wang
    arXiv preprint arXiv:2609.26615, 2026
  3. arXiv
    Majority Dynamics on Resampled Sparse Erdős–Rényi Graphs: Gaussian Winner Selection and Pace to Unanimity
    Ioana Dumitriu, Muchen Ju, and Hai-Xiao Wang \((\alpha\mkern-1mu{-}\mkern-1mu\beta)\)
    arXiv preprint arXiv:2608.06159, 2026
  4. arXiv
    Majority Dynamics on Assortative Sparse Stochastic Block Models
    Ioana Dumitriu, Muchen Ju, and Hai-Xiao Wang \((\alpha\mkern-1mu{-}\mkern-1mu\beta)\)
    arXiv preprint arXiv:2607.24652, 2026
  5. arXiv
    Attention Mechanisms Through the Lens of Numerical Methods: Approximation Methods and Alternative Formulations
    Michel Fabrice Serret, Alice Cortinovis, Yijun Dong, Diana Halikias, Anna Ma, Fabio Matti, Deanna Needell, Katherine J. Pearce, Elizaveta Rebrova, Disha Shur, Rudi Smith, Hai-Xiao Wang, and Laura Grigori
    arXiv preprint arXiv:2604.01757, 2026

2025

  1. arXiv
    Dumutriu2025Singular.png
    Singular values of sparse random rectangular matrices: Emergence of outliers at criticality
    Ioana Dumitriu, Hai-Xiao Wang, Zhichao Wang, and Yizhe Zhu \((\alpha\mkern-1mu{-}\mkern-1mu\beta)\)
    arXiv preprint arXiv:2508.01456, 2025

2024

  1. ICML 2024
    Optimal Exact Recovery in Semi-Supervised Learning: A Study of Spectral Methods and Graph Convolutional Networks
    Hai-Xiao Wang and Zhichao Wang
    In Proceedings of the 41st International Conference on Machine Learning, 235, pp. 51614–51649, 2024

2023

  1. AoS
    Dumitriu2023OptimalAE.png
    Optimal and exact recovery on the general nonuniform Hypergraph Stochastic Block Model
    Ioana Dumitriu and Hai-Xiao Wang \((\alpha\mkern-1mu{-}\mkern-1mu\beta)\)
    The Annals of Statistics, 54(1), pp. 48–73, 2026
  2. arXiv
    Information-Theoretic Limits and Strong Consistency on Binary Non-uniform Hypergraph Stochastic Block Models
    Hai-Xiao Wang
    arXiv preprint arXiv:2306.06845, 2023

2021

  1. CPC
    Partial recovery and weak consistency in the non-uniform hypergraph stochastic block model
    Ioana Dumitriu, Hai-Xiao Wang, and Yizhe Zhu \((\alpha\mkern-1mu{-}\mkern-1mu\beta)\)
    Combinatorics, Probability and Computing, 34(1), pp. 1–51, 2025

Dissertation

  1. Dissertation
    probabilityTensor.png
    Community Detection Problems on General Random Hypergraphs
    Hai-Xiao Wang
    University of California, San Diego, 2025