Publications

Journal

  1. NLTGCR: A class of Nonlinear Acceleration Procedures based on Conjugate Residuals
    [Paper] [Code]
    H. He, Z. Tang, S. Zhao, Y. Saad and Y. Xi
    SIAM J. Matrix Anal. Appl., 2023, accepted.

  2. Data-Driven Linear Complexity Low-Rank Approximation of General Kernel Matrices: A Geometric Approach
    [Paper] [Code]
    D. Cai, E. Chow and Y. Xi
    Numer. Linear Algebra Appl., 2023, e2519.

  3. Data-driven construction of hierarchical matrices with nested bases
    [Paper] [Code]
    D. Cai, H. Huang, E. Chow and Y. Xi
    SIAM J. Sci. Comput., (2023), S24-S50.

  4. Learning optimal multigrid smoothers via neural networks
    [Paper] [Code]
    R. Huang, R. Li, and Y. Xi
    SIAM J. Sci. Comput., 43 (2022), S199-S225.

  5. parGeMSLR: A Parallel Multilevel Schur Complement Low-Rank Preconditioning and Solution Package for General Sparse Matrices
    [Paper] [Code]
    T. Xu, V. Kalantzis, R. Li, Y. Xi, G. Dillon, and Y. Saad
    Parallel Comput., 113 (2022), 102956.

  6. Fast deterministic approximation of symmetric indefinite kernel matrices with high dimensional datasets
    [Paper] [Code]
    D. Cai, J. Nagy, and Y. Xi
    SIAM J. Matrix Anal. Appl., 43 (2022), pp 1003–1028.

  7. A Rayleigh-Ritz method based approach to computing seismic normal modes in the presence of an essential spectrum
    [Paper] [Code]
    J. Shi, R. Li, Y. Xi, Y. Saad, and M. de Hoop
    J. Sci Comput., 91 (2022).

  8. Fast randomized non-Hermitian eigensolvers based on rational filtering and matrix partitioning
    [Paper]
    V. Kalantzis, Y. Xi, and L. Horesh
    SIAM J. Sci. Comput., 43 (2021), S791-S815.

  9. Preconditioning via GMRES in polynomial space
    [Paper] [Code]
    X. Ye, Y. Xi, and Y. Saad
    SIAM J. Matrix Anal. Appl., 42 (2021), pp 1248–1267.

  10. A power Schur complement low-rank correction preconditioner for general sparse linear systems
    [Paper] [Code]
    Q. Zheng, Y. Xi and Y. Saad
    SIAM J. Matrix Anal. Appl., 42 (2021), pp 659–682.

  11. Planetary normal mode computation: Parallel algorithms, performance, and reproducibility
    [Paper] [Code]
    J. Shi, R. Li, Y. Xi, Y. Saad and M. de Hoop
    IEEE Transactions on Parallel and Distributed Systems, (2021), PP(99):1-1.

  12. An ADMM-LAP method for total variation myopic deconvolution of adaptive optics retinal images
    [Paper]
    X. Chen, J. Herrig, J. Nagy, Y. Xi and B. Yu
    Inverse Problems, (2021), 37.

  13. Multi-Color Low-Rank preconditioner for general sparse linear systems
    [Paper] [Code]
    Q. Zheng, Y. Xi and Y. Saad
    Numer. Linear Algebra Appl., (2020), 27:e2316.

  14. Solving the 3D high-frequency Helmholtz equation using contour integration and polynomial preconditioning
    [Paper] [Code]
    X. Liu, Y. Xi, Y. Saad and M. de Hoop
    SIAM J. Matrix Anal. Appl., 41 (2020), pp. 58-82.

  15. EVSL: Eigenvalues slicing library: Algorithms, methods and software description
    [Paper] [Code]
    R. Li, Y. Xi, L. Erlandson and Y. Saad
    SIAM J. Sci. Comput., 41 (2019), pp. C393-C415.

  16. Structured FISTA for Image Restoration
    [Paper]
    Z. Chen, J. Nagy, Y. Xi, and B. Yu
    Numer. Linear Algebra Appl., 27(2) (2019), e2278.

  17. Fast computation of spectral densities for generalized eigenvalue problems
    [Paper]
    Y. Xi, R. Li and Y. Saad
    SIAM J. Sci. Comput., 40 (2018), pp. A2749-A2773.

  18. SMASH: Structured matrix approximation by separation and hierarchy
    [Paper]
    D. Cai, E. Chow, L. Erlandson, Y. Saad, and Y. Xi
    Numer. Linear Algebra Appl., (2018), 25:e2204.

  19. A hierarchical low-rank Schur complement preconditioner for indefinite linear systems
    [Paper] [Code]
    G. Dillon, V. Kalantzis, Y. Xi and Y. Saad
    SIAM J. Sci. Comput. 40-4 (2018), pp. A2234-A2252.

  20. Beyond AMLS: Domain Decomposition with rational filtering
    [Paper]
    V. Kalantzis, Y. Xi and Y. Saad
    SIAM J. Sci. Comput., 40 (2018), pp. C477-C502.

  21. A rational function preconditioner for indefinite sparse linear systems
    [Paper]
    Y. Xi and Y. Saad
    SIAM J. Sci. Comput., 39 (2017), pp. A1145-A1167.

  22. Computing partial spectra with least-squares rational filters
    [Paper]
    Y. Xi and Y. Saad
    SIAM J. Sci. Comput., 38 (2016), pp. A3020-A3045.

  23. On the stability of some hierarchical rank structured matrix alogrithms
    [Paper]
    Y. Xi and J. Xia
    SIAM J. Matrix Anal. Appl., 37 (2016), pp. 1279-1303.

  24. A Thick-Restart Lanczos algorithm with polynomial filtering for Hermitian eigenvalue problems
    [Paper] [code]
    R. Li, Y. Xi, E. Vecharynski, C. Yang, and Y. Saad
    SIAM J. Sci. Comput., 38 (2016), pp. A2512-A2534.

  25. Schur complement based domain decomposition preconditioners with low-rank corrections
    [Paper] [code]
    R. Li, Y. Xi, and Y. Saad
    Numer. Linear Algebra Appl., 23(4) (2016), pp. 706-729.

  26. An algebraic multilevel preconditioner with low-rank corrections for sparse symmetric matrices
    [Paper] [code]
    Y. Xi, R. Li, and Y. Saad
    SIAM J. Matrix Anal. Appl., 37 (2016), pp. 235-259.

  27. Fast sparse selected inversion
    [Paper]
    J. Xia, Y. Xi, S. Cauley, and V. Balakrishnan
    SIAM J. Matrix Anal. Appl., 36 (2015), pp. 1283-1314.

  28. Fast reconstruction for multi-channel compressed sensing using a hierarchically semiseparable solver
    [Paper]
    S. Cauley, Y. Xi, B. Bilgic, J. Xia, E. Adalsteinsson, V. Balakrishnan, L. Wald, and K. Setsompop
    Magn. Reson. Med., 73 (2015), pp. 1034-1040.

  29. A fast randomized eigensolver with structured LDL factorization update
    [Paper]
    Y. Xi, J. Xia, and R. Chan
    SIAM J. Matrix Anal. Appl., 35 (2014), pp. 974-996.

  30. Superfast and stable structured solvers for Toeplitz least squares via randomized sampling
    [Paper]
    Y. Xi, J. Xia, S. Cauley, and V. Balakrishnan
    SIAM J. Matrix Anal. Appl., 35 (2014), pp. 44-72.

  31. A superfast structured solver for Toeplitz linear systems via randomized sampling
    [Paper]
    J. Xia, Y. Xi, and M. Gu
    SIAM J. Matrix Anal. Appl., 33 (2012), pp. 837-858.

Conference

  1. MuG: A Multimodal Classification Benchmark on Game Data with Tabular, Textual, and Visual Fields
    [Paper] [Code]
    J. Lu, Y. Qian, S. Zhao, Y. Xi, C. Yang
    In Findings of EMNLP'23.

  2. AUTM Flow: Atomic Unrestricted Time Machine for Monotonic Normalizing Flows
    [Paper] [Code]
    D. Cai, Y. Ji, H. He, Q. Ye and Y. Xi
    In International Conference on Uncertainty in Artificial Intelligence (UAI) 2022.

  3. GDA-AM: Solve Minimax Optimizaton by Anderson Mixing
    [Paper] [Code]
    H. He, S. Zhao, Y. Xi, J. Ho, Y. Saad
    In International Conference on Learning Representations (ICLR) 2022.

  4. Fast and Accurate Tensor Decomposition without a High-Performance Computing Machine
    [Paper] [Code]
    H. He, Y. Xi, J. Ho
    In International Conference on BigData (BIGDATA) 2020.

  5. Accelerating Parallel Hierarchical Matrix-Vector Products via Data-Driven Sampling
    [Paper]
    L. Erlandson, D. Cai, Y. Xi and E. Chow
    34th IEEE International Parallel and Distributed Processing Symposium (IPDPS), New Orleans, LA, 2020.

  6. Computing Planetary Interior Normal Modes with A Highly Parallel Polynomial Filtering Eigensolver
    [Paper] [code]
    J. Shi, R. Li, Y. Xi, Y. Saad and M.V. de Hoop
    International Conference for High Performance Computing, Networking, Storage, and Analysis (SC18), Dallas, TX, Nov. 11-16, 2018.

Workshop

  1. AGE: Enhancing the Convergence on GANs using Alternating extra-gradient with Gradient Extrapolation
    H. He, Y. Xi, J. Ho
    In Deep Generative Models (DGMs) and Applications @ NeurIPS 2021 Oral.

  2. Accelerated SGD for tensor decomposition of sparse count data
    H. He, Y. Xi, Joyce C Ho.
    In International Conference on Data Mining Workshops (ICDMW) 2020.