no code implementations • 15 Jul 2023 • Ru Huang, Kai Chang, Huan He, Ruipeng Li, Yuanzhe Xi
We propose a data-driven and machine-learning-based approach to compute non-Galerkin coarse-grid operators in algebraic multigrid (AMG) methods, addressing the well-known issue of increasing operator complexity.
no code implementations • 8 Feb 2023 • Huan He, Shifan Zhao, Yuanzhe Xi, Joyce C Ho
Due to patient privacy protection concerns, machine learning research in healthcare has been undeniably slower and limited than in other application domains.
1 code implementation • 6 Feb 2023 • Jiaying Lu, Yongchen Qian, Shifan Zhao, Yuanzhe Xi, Carl Yang
Previous research has demonstrated the advantages of integrating data from multiple sources over traditional unimodal data, leading to the emergence of numerous novel multimodal applications.
no code implementations • 24 Dec 2022 • Difeng Cai, Edmond Chow, Yuanzhe Xi
Such rectangular kernel matrices may arise, for example, in Gaussian process regression where $X$ corresponds to the training data and $Y$ corresponds to the test data.
no code implementations • 22 Oct 2022 • Huan He, Shifan Zhao, Ziyuan Tang, Joyce C Ho, Yousef Saad, Yuanzhe Xi
Nonlinear acceleration methods are powerful techniques to speed up fixed-point iterations.
no code implementations • 5 Jun 2022 • Difeng Cai, Yuliang Ji, Huan He, Qiang Ye, Yuanzhe Xi
AUTM offers a versatile and efficient way to the design of normalizing flows with explicit inverse and unrestricted function classes or parameters.
1 code implementation • 6 Oct 2021 • Huan He, Shifan Zhao, Yuanzhe Xi, Joyce C Ho, Yousef Saad
We also empirically show that GDA-AMsolves a variety of minimax problems and improves GAN training on several datasets
no code implementations • ICLR 2022 • Huan He, Shifan Zhao, Yuanzhe Xi, Joyce Ho, Yousef Saad
We also empirically show that GDA-AM solves a variety of minimax problems and improves GAN training on several datasets
no code implementations • 24 Feb 2021 • Ru Huang, Ruipeng Li, Yuanzhe Xi
Multigrid methods are one of the most efficient techniques for solving linear systems arising from Partial Differential Equations (PDEs) and graph Laplacians from machine learning applications.
1 code implementation • 23 Jan 2021 • Yuliang Ji, Ru Huang, Jie Chen, Yuanzhe Xi
Deep generative models, since their inception, have become increasingly more capable of generating novel and perceptually realistic signals (e. g., images and sound waves).
2 code implementations • 25 Jun 2019 • Jia Shi, Ruipeng Li, Yuanzhe Xi, Yousef Saad, Maarten V. de Hoop
A Continuous Galerkin method-based approach is presented to compute the seismic normal modes of rotating planets.
Computational Physics Earth and Planetary Astrophysics Geophysics 86-08, 86-04, 85-04, 85-08, 85-10, 15A18, 65N25, 65N30
1 code implementation • 14 Feb 2018 • Ruipeng Li, Yuanzhe Xi, Lucas Erlandson, Yousef Saad
This paper describes a software package called EVSL (for EigenValues Slicing Library) for solving large sparse real symmetric standard and generalized eigenvalue problems.
Numerical Analysis
1 code implementation • 15 May 2017 • Difeng Cai, Edmond Chow, Yousef Saad, Yuanzhe Xi
This paper presents an efficient method to perform Structured Matrix Approximation by Separation and Hierarchy (SMASH), when the original dense matrix is associated with a kernel function.
Numerical Analysis