Publications

Journal

1. Straggler-tolerant stationary methods for linear systems
   [Paper]
   V. Kalantzis, Y. Xi, L. Horesh and Y. Saad
   SIAM J. Sci. Comput., 2024, accepted.

2. Anderson Acceleration with Truncated Gram-Schmidt
   [Paper]
   Z. Tang, T. Xu, H. He, Y. Saad, and Y. Xi
   SIAM J. Matrix Anal. Appl., 45, pp 1850–1872.

3. Reducing Operator Complexity of Galerkin Coarse-grid Operators with Machine Learning
   [Paper]
   R. Huang, K. Chang, H. He, R. Li and Y. Xi
   SIAM J. Sci. Comput., (2024), S296-S316.

4. An Adaptive Factorized Nyström Preconditioner for Regularized Kernel Matrices
   [Paper] [Code]
   S. Zhao, T. Xu, H. Huang, E. Chow and Y. Xi
   SIAM J. Sci. Comput., 46, (2024), A2351-A2376.

5. 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., 45, (2024), pp 712–743.

6. 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.

7. 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.

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

9. 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.

10. 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.

11. 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).

12. 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.

13. 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.

14. 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.

15. 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.

16. 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.

17. 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.

18. 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.

19. 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.

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

21. 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.

22. 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.

23. 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.

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

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

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

27. 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.

28. 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.

29. 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.

30. 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.

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

32. 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.

33. 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.

34. 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.

35. 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. A Flexible Generative Model for Heterogeneous Tabular EHR with Missing Modality
   [Paper] [Code]
   H. He, W. Hao, Y. Xi, Y. Chen, B. Malin, J. Ho
   In International Conference on Learning Representations (ICLR) 2024.

2. Uncertainty-Aware Pre-Trained Foundation Models for Patient Risk Prediction via Gaussian Process
   [Paper] [Code]
   J Lu, S Zhao, W Ma, H Shao, X Hu, Y Xi, C Yang
   In the 2024 ACM Web Conference (HealthDay Track).

3. 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.

4. 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.

5. 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.

6. 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.

7. 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.

8. 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.