Thomas Y. Hou - RankMe

87 papers A* 3Journal 84

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	High precision PINNs in unbounded domains: application to singularity formulation in PDEs. CoRR Yixuan Wang, Ziming Liu, Zongyi Li, Anima Anandkumar, Thomas Y. Hou
2025	A*	`conf`	KAN: Kolmogorov-Arnold Networks. ICLR Ziming Liu, Yixuan Wang, Sachin Vaidya, Fabian Ruehle, James Halverson, Marin Soljacic, Thomas Y. Hou, Max Tegmark
2025	A*	`conf`	On the expressiveness and spectral bias of KANs. ICLR Yixuan Wang, Jonathan W. Siegel, Ziming Liu, Thomas Y. Hou
2025	J	`jnl`	Stable Nearly Self-Similar Blowup of the 2D Boussinesq and 3D Euler Equations with Smooth Data II: Rigorous Numerics. Multiscale Model. Simul. Jiajie Chen, Thomas Y. Hou
2024	J	`jnl`	KAN: Kolmogorov-Arnold Networks. CoRR Ziming Liu, Yixuan Wang, Sachin Vaidya, Fabian Ruehle, James Halverson, Marin Soljacic, Thomas Y. Hou, Max Tegmark
2024	J	`jnl`	Nearly self-similar blowup of generalized axisymmetric Navier-Stokes and Boussinesq equations. CoRR Thomas Y. Hou
2024	J	`jnl`	On the expressiveness and spectral bias of KANs. CoRR Yixuan Wang, Jonathan W. Siegel, Ziming Liu, Thomas Y. Hou
2024	J	`jnl`	Potential Singularity of the Axisymmetric Euler Equations with \(\boldsymbol{C^{\alpha }}\) Initial Vorticity for a Large Range of \(\boldsymbol{\alpha }\). Multiscale Model. Simul. Thomas Y. Hou, Shumao Zhang
2023	J	`jnl`	Exponentially Convergent Multiscale Methods for 2D High Frequency Heterogeneous Helmholtz Equations. Multiscale Model. Simul. Yifan Chen, Thomas Y. Hou, Yixuan Wang
2023	J	`jnl`	Potential Singularity Formation of Incompressible Axisymmetric Euler Equations with Degenerate Viscosity Coefficients. Multiscale Model. Simul. Thomas Y. Hou, De Huang
2023	J	`jnl`	Potential Singularity of the 3D Euler Equations in the Interior Domain. Found. Comput. Math. Thomas Y. Hou
2023	J	`jnl`	Potentially Singular Behavior of the 3D Navier-Stokes Equations. Found. Comput. Math. Thomas Y. Hou
2023	J	`jnl`	Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data II: Rigorous Numerics. CoRR Jiajie Chen, Thomas Y. Hou
2022	J	`jnl`	Exponentially Convergent Multiscale Finite Element Method. CoRR Yifan Chen, Thomas Y. Hou, Yixuan Wang
2022	J	`jnl`	Fourier Continuation for Exact Derivative Computation in Physics-Informed Neural Operators. CoRR Haydn Maust, Zongyi Li, Yixuan Wang, Daniel V. Leibovici, Oscar P. Bruno, Thomas Y. Hou, Anima Anandkumar
2022	J	`jnl`	Multiscale Elliptic PDE Upscaling and Function Approximation via Subsampled Data. Multiscale Model. Simul. Yifan Chen, Thomas Y. Hou
2022	J	`jnl`	Potential Singularity of the Axisymmetric Euler Equations with C CoRR Thomas Y. Hou, Shumao Zhang
2021	J	`jnl`	Asymptotic Escape of Spurious Critical Points on the Low-rank Matrix Manifold. CoRR Thomas Y. Hou, Zhenzhen Li, Ziyun Zhang
2021	J	`jnl`	Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions. Multiscale Model. Simul. Yifan Chen, Thomas Y. Hou, Yixuan Wang
2021	J	`jnl`	Exponentially convergent multiscale methods for high frequency heterogeneous Helmholtz equations. CoRR Yifan Chen, Thomas Y. Hou, Yixuan Wang
2021	A*	`conf`	Multiscale Invertible Generative Networks for High-Dimensional Bayesian Inference. ICML Shumao Zhang, Pengchuan Zhang, Thomas Y. Hou
2021	J	`jnl`	Multiscale Invertible Generative Networks for High-Dimensional Bayesian Inference. CoRR Shumao Zhang, Pengchuan Zhang, Thomas Y. Hou
2021	J	`jnl`	Potential Singularity Formation of 3D Axisymmetric Navier-Stokes Equations with Degenerate Variable Diffusion Coefficients. CoRR Thomas Y. Hou, De Huang
2021	J	`jnl`	Potential singularity of the 3D Euler equations in the interior domain. CoRR Thomas Y. Hou
2021	J	`jnl`	The nearly singular behavior of the 3D Navier-Stokes equations. CoRR Thomas Y. Hou
2020	J	`jnl`	Analysis of Asymptotic Escape of Strict Saddle Sets in Manifold Optimization. SIAM J. Math. Data Sci. Thomas Y. Hou, Zhenzhen Li, Ziyun Zhang
2020	J	`jnl`	Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions. CoRR Yifan Chen, Thomas Y. Hou, Yixuan Wang
2020	J	`jnl`	Fast Global Convergence for Low-rank Matrix Recovery via Riemannian Gradient Descent with Random Initialization. CoRR Thomas Y. Hou, Zhenzhen Li, Ziyun Zhang
2020	J	`jnl`	Multiscale Elliptic PDEs Upscaling and Function Approximation via Subsampled Data. CoRR Yifan Chen, Thomas Y. Hou
2019	J	`jnl`	A Fast Hierarchically Preconditioned Eigensolver Based on Multiresolution Matrix Decomposition. Multiscale Model. Simul. Thomas Y. Hou, De Huang, Ka Chun Lam, Ziyun Zhang
2019	J	`jnl`	A Model Reduction Method for Multiscale Elliptic Pdes with Random Coefficients Using an Optimization Approach. Multiscale Model. Simul. Thomas Y. Hou, Dingjiong Ma, Zhiwen Zhang
2019	J	`jnl`	A class of robust numerical methods for solving dynamical systems with multiple time scales. CoRR Thomas Y. Hou, Zhongjian Wang, Zhiwen Zhang
2019	J	`jnl`	Analysis of Asymptotic Escape of Strict Saddle Sets in Manifold Optimization. CoRR Thomas Y. Hou, Zhenzhen Li, Ziyun Zhang
2019	J	`jnl`	Formation of Finite-Time Singularities in the 3D Axisymmetric Euler Equations: A Numerics Guided Study. SIAM Rev. Guo Luo, Thomas Y. Hou
2019	J	`jnl`	The subsampled Poincar\' e inequality for functional recovery. CoRR Yifan Chen, Thomas Y. Hou
2018	J	`jnl`	A Fast Hierarchically Preconditioned Eigensolver Based On Multiresolution Matrix Decomposition. CoRR Thomas Y. Hou, De Huang, Ka Chun Lam, Ziyun Zhang
2018	J	`jnl`	An Adaptive Fast Solver for a General Class of Positive Definite Matrices Via Energy Decomposition. Multiscale Model. Simul. Thomas Y. Hou, De Huang, Ka Chun Lam, Pengchuan Zhang
2018	J	`jnl`	Potential Singularity for a Family of Models of the Axisymmetric Incompressible Flow. J. Nonlinear Sci. Thomas Y. Hou, Tianling Jin, Pengfei Liu
2017	J	`jnl`	A Sparse Decomposition of Low Rank Symmetric Positive Semidefinite Matrices. Multiscale Model. Simul. Thomas Y. Hou, Qin Li, Pengchuan Zhang
2017	J	`jnl`	An iteratively adaptive multi-scale finite element method for elliptic PDEs with rough coefficients. J. Comput. Phys. Thomas Y. Hou, Feng-Nan Hwang, Pengfei Liu, Chien-Chou Yao
2017	J	`jnl`	Exploring the Locally Low Dimensional Structure in Solving Random Elliptic PDEs. Multiscale Model. Simul. Thomas Y. Hou, Qin Li, Pengchuan Zhang
2017	J	`jnl`	Sparse Time-Frequency Decomposition for Multiple Signals with Same Frequencies. Adv. Data Sci. Adapt. Anal. Thomas Y. Hou, Zuoqiang Shi
2016	J	`jnl`	Adaptive multiscale model reduction with Generalized Multiscale Finite Element Methods. J. Comput. Phys. Eric T. Chung, Yalchin Efendiev, Thomas Y. Hou
2016	J	`jnl`	An Accelerated Method for Nonlinear Elliptic PDE. J. Sci. Comput. Hayden Schaeffer, Thomas Y. Hou
2015	J	`jnl`	A Multiscale Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficients. Multiscale Model. Simul. Zhiwen Zhang, Maolin Ci, Thomas Y. Hou
2015	J	`jnl`	A heterogeneous stochastic FEM framework for elliptic PDEs. J. Comput. Phys. Thomas Y. Hou, Pengfei Liu
2015	J	`jnl`	Extracting a shape function for a signal with intra-wave frequency modulation. CoRR Thomas Y. Hou, Zuoqiang Shi
2015	J	`jnl`	On the Uniqueness of Sparse Time-Frequency Representation of Multiscale Data. CoRR Chunguang Liu, Thomas Y. Hou, Zuoqiang Shi
2015	J	`jnl`	On the Uniqueness of Sparse Time-Frequency Representation of Multiscale Data. Multiscale Model. Simul. Chunguang Liu, Zuoqiang Shi, Thomas Y. Hou
2015	J	`jnl`	Sparse + low-energy decomposition for viscous conservation laws. J. Comput. Phys. Thomas Y. Hou, Qin Li, Hayden Schaeffer
2015	J	`jnl`	Sparse Time-Frequency decomposition for multiple signals with same frequencies. CoRR Thomas Y. Hou, Zuoqiang Shi
2014	J	`jnl`	Extraction of Intrawave Signals Using the Sparse Time-Frequency Representation Method. Multiscale Model. Simul. Peyman Tavallali, Thomas Y. Hou, Zuoqiang Shi
2014	J	`jnl`	Toward the Finite-Time Blowup of the 3D Axisymmetric Euler Equations: A Numerical Investigation. Multiscale Model. Simul. Guo Luo, Thomas Y. Hou
2013	J	`jnl`	A Data-Driven Stochastic Method for Elliptic PDEs with Random Coefficients. SIAM/ASA J. Uncertain. Quantification Mulin Cheng, Thomas Y. Hou, Mike P. Yan, Zhiwen Zhang
2013	J	`jnl`	A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations I: Derivation and algorithms. J. Comput. Phys. Mulin Cheng, Thomas Y. Hou, Zhiwen Zhang
2013	J	`jnl`	A dynamically bi-orthogonal method for time-dependent stochastic partial differential equations II: Adaptivity and generalizations. J. Comput. Phys. Mulin Cheng, Thomas Y. Hou, Zhiwen Zhang
2013	J	`jnl`	Convergence of a data-driven time-frequency analysis method CoRR Thomas Y. Hou, Zuoqiang Shi, Peyman Tavallali
2013	J	`jnl`	Generalized Multiscale Finite Element Methods (GMsFEM) CoRR Yalchin Efendiev, Juan Galvis, Thomas Y. Hou
2013	J	`jnl`	Generalized multiscale finite element methods (GMsFEM). J. Comput. Phys. Yalchin Efendiev, Juan Galvis, Thomas Y. Hou
2013	J	`jnl`	Multiscale modeling of incompressible turbulent flows. J. Comput. Phys. Thomas Y. Hou, X. Hu, Faiza Hussain
2013	J	`jnl`	Sparse Time Frequency Representations and Dynamical Systems. CoRR Thomas Y. Hou, Zuoqiang Shi, Peyman Tavallali
2013	J	`jnl`	Sparse Time-Frequency decomposition by adaptive basis pursuit. CoRR Thomas Y. Hou, Zuoqiang Shi
2011	J	`jnl`	Adaptive Data Analysis via Sparse Time-Frequency Representation. Adv. Data Sci. Adapt. Anal. Thomas Y. Hou, Zuoqiang Shi
2011	J	`jnl`	Introduction. Adv. Data Sci. Adapt. Anal. Thomas Y. Hou, Xue-Cheng Tai
2009	J	`jnl`	A Variant of the EMD Method for Multi-Scale Data. Adv. Data Sci. Adapt. Anal. Thomas Y. Hou, Mike P. Yan, Zhaohua Wu
2008	J	`jnl`	An efficient semi-implicit immersed boundary method for the Navier-Stokes equations. J. Comput. Phys. Thomas Y. Hou, Zuoqiang Shi
2008	J	`jnl`	Multiscale Analysis and Computation for the Three-Dimensional Incompressible Navier-Stokes Equations. Multiscale Model. Simul. Thomas Y. Hou, Danping Yang, Hongyu Ran
2008	J	`jnl`	Removing the Stiffness of Elastic Force from the Immersed Boundary Method for the 2D Stokes Equations CoRR Thomas Y. Hou, Zuoqiang Shi
2008	J	`jnl`	Removing the stiffness of elastic force from the immersed boundary method for the 2D Stokes equations. J. Comput. Phys. Thomas Y. Hou, Zuoqiang Shi
2007	J	`jnl`	Computing nearly singular solutions using pseudo-spectral methods. J. Comput. Phys. Thomas Y. Hou, Ruo Li
2007	J	`jnl`	Mathematical modeling and simulation of aquatic and aerial animal locomotion. J. Comput. Phys. Thomas Y. Hou, Valentin G. Stredie, Theodore Yao-Tsu Wu
2006	J	`jnl`	A Framework for Modeling Subgrid Effects for Two-Phase Flows in Porous Media. Multiscale Model. Simul. Thomas Y. Hou, Andrew Westhead, Danping Yang
2006	J	`jnl`	A pseudo-spectral multiscale method: Interfacial conditions and coarse grid equations. J. Comput. Phys. Shaoqiang Tang, Thomas Y. Hou, Wing Kam Liu
2006	J	`jnl`	Accurate multiscale finite element methods for two-phase flow simulations. J. Comput. Phys. Yalchin Efendiev, Victor Ginting, Thomas Y. Hou, Richard E. Ewing
2006	J	`jnl`	Coarse-gradient Langevin algorithms for dynamic data integration and uncertainty quantification. J. Comput. Phys. Paul Dostert, Yalchin Efendiev, Thomas Y. Hou, Wuan Luo
2006	J	`jnl`	Dynamic Depletion of Vortex Stretching and Non-Blowup of the 3-D Incompressible Euler Equations. J. Nonlinear Sci. Thomas Y. Hou, Ruo Li
2006	J	`jnl`	On Global Well-Posedness of the Lagrangian Averaged Euler Equations. SIAM J. Math. Anal. Thomas Y. Hou, Congming Li
2006	J	`jnl`	Preconditioning Markov Chain Monte Carlo Simulations Using Coarse-Scale Models. SIAM J. Sci. Comput. Yalchin Efendiev, Thomas Y. Hou, Wuan Luo
2006	J	`jnl`	Wiener Chaos expansions and numerical solutions of randomly forced equations of fluid mechanics. J. Comput. Phys. Thomas Y. Hou, Wuan Luo, Boris Rozovskii, Haomin Zhou
2003	J	`jnl`	A mixed multiscale finite element method for elliptic problems with oscillating coefficients. Math. Comput. Zhiming Chen, Thomas Y. Hou
2001	J	`jnl`	A new stabilizing technique for boundary integral methods for water waves. Math. Comput. Thomas Y. Hou, Pingwen Zhang
2000	J	`jnl`	Convergence of a Nonconforming Multiscale Finite Element Method. SIAM J. Numer. Anal. Yalchin R. Efendiev, Thomas Y. Hou, Xiao-Hui Wu
1999	J	`jnl`	Almost optimal convergence of the point vortex method for vortex sheets using numerical filtering. Math. Comput. Russel E. Caflisch, Thomas Y. Hou, John S. Lowengrub
1999	J	`jnl`	Convergence of a multiscale finite element method for elliptic problems with rapidly oscillating coefficients. Math. Comput. Thomas Y. Hou, Xiao-Hui Wu, Zhiqiang Cai
1998	J	`jnl`	Convergence of a non-stiff boundary integral method for interfacial flows with surface tension. Math. Comput. Héctor D. Ceniceros, Thomas Y. Hou
1993	J	`jnl`	The Convergence of an Exact Desingularization for Vortex Methods. SIAM J. Sci. Comput. Thomas Y. Hou, John S. Lowengrub, Michael J. Shelley
1991	J	`jnl`	Eigendecomposition of Domain Decomposition Interface Operators for Constant Coefficient Elliptic Problems. SIAM J. Sci. Comput. Tony F. Chan, Thomas Y. Hou