Haizhao Yang

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All published works

Action	Title	Year	Authors
+ PDF Chat	A Finite Expression Method for Solving High-Dimensional Committor Problems	2025	Zezheng Song Maria Cameron Haizhao Yang
+ PDF Chat	Reinforced Inverse Scattering	2024	Hanyang Jiang Yuehaw Khoo Haizhao Yang
+ PDF Chat	Towards Better Generalization: Weight Decay Induces Low-rank Bias for Neural Networks	2024	Kexin Chen Congrui Yi Haizhao Yang
+ PDF Chat	Solving High-Dimensional Partial Integral Differential Equations: The Finite Expression Method	2024	Gareth Hardwick Senwei Liang Haizhao Yang
+ PDF Chat	PNOD: An Efficient Projected Newton Framework for Exact Optimal Experimental Designs	2024	Ling Liang Haizhao Yang
+ PDF Chat	Accelerating Multi-Block Constrained Optimization Through Learning to Optimize	2024	Ling Liang C Austin Haizhao Yang
+ PDF Chat	Optimal Neural Network Approximation for High-Dimensional Continuous Functions	2024	Ayan Maiti Michelle Michelle Haizhao Yang
+ PDF Chat	Vertex Exchange Method for a Class of Quadratic Programming Problems	2024	Ling Liang Kim-Chuan Toh Haizhao Yang
+ PDF Chat	Nesterov's Accelerated Jacobi-Type Methods for Large-scale Symmetric Positive Semidefinite Linear Systems	2024	Ling Liang Qiyuan Pang Kim-Chuan Toh Haizhao Yang
+ PDF Chat	On the convergence of orthogonalization-free conjugate gradient method for extreme eigenvalues of Hermitian matrices: A Riemannian optimization interpretation	2024	Shixin Zheng Haizhao Yang Xiangxiong Zhang
+ PDF Chat	Neural Network Approximation for Pessimistic Offline Reinforcement Learning	2024	Di Wu Yuling Jiao Li Shen Haizhao Yang Xiliang Lu
+ PDF Chat	Solving PDEs on unknown manifolds with machine learning	2024	Senwei Liang Shixiao W. Jiang John Harlim Haizhao Yang
+	Finite Expression Method for Learning Dynamics on Complex Networks	2024	Zezheng Song Chunmei Wang Haizhao Yang
+	On the Stochastic (Variance-Reduced) Proximal Gradient Method for Regularized Expected Reward Optimization	2024	Ling Liang Haizhao Yang
+ PDF Chat	Reproducing activation function for deep learning	2024	Senwei Liang Liyao Lyu Chunmei Wang Haizhao Yang
+ PDF Chat	Two-layer neural networks for partial differential equations: optimization and generalization theory	2024	Tao Luo Haizhao Yang
+ PDF Chat	Friedrichs Learning: Weak Solutions of Partial Differential Equations via Deep Learning	2023	F. Frank Chen Jianguo Huang Chunmei Wang Haizhao Yang
+	PiPs: A kernel-based optimization scheme for analyzing non-stationary 1D signals	2023	Jieren Xu Yitong Li Haizhao Yang David B. Dunson Ingrid Daubechies
+ PDF Chat	Stationary Density Estimation of Itô Diffusions Using Deep Learning	2023	Yiqi Gu John Harlim Senwei Liang Haizhao Yang
+	Deep Operator Learning Lessens the Curse of Dimensionality for PDEs	2023	Ke Chen Chunmei Wang Haizhao Yang
+	Convergence Analysis of the Deep Galerkin Method for Weak Solutions	2023	Yuling Jiao Yanming Lai Yang Wang Haizhao Yang Yunfei Yang
+	On the convergence of orthogonalization-free conjugate gradient method for extreme eigenvalues of Hermitian matrices: a Riemannian optimization interpretation	2023	Shixin Zheng Haizhao Yang Xiangxiong Zhang
+	Deep Learning via Neural Energy Descent	2023	Wenrui Hao Chunmei Wang Xu Xingjian Haizhao Yang
+	Finite Expression Methods for Discovering Physical Laws from Data	2023	Zhongyi Jiang Chunmei Wang Haizhao Yang
+	Nearly Optimal VC-Dimension and Pseudo-Dimension Bounds for Deep Neural Network Derivatives	2023	Yahong Yang Haizhao Yang Yang Xiang
+	Spectral Clustering via Orthogonalization-Free Methods	2023	Qiyuan Pang Haizhao Yang
+	A Finite Expression Method for Solving High-Dimensional Committor Problems	2023	Zezheng Song Maria Cameron Haizhao Yang
+	Hierarchical Interpolative Factorization for Self Green's Function in 3D Modified Poisson-Boltzmann Equations	2023	Yihui Tu Zhenli Xu Haizhao Yang
+	let data talk: data-regularized operator learning theory for inverse problems	2023	Ke Chen Chunmei Wang Haizhao Yang
+	Nearly Optimal Approximation Rates for Deep Super ReLU Networks on Sobolev Spaces	2023	Yahong Yang Yue Wu Haizhao Yang Yang Xiang
+	Neural Network Approximation for Pessimistic Offline Reinforcement Learning	2023	Di Wu Yuling Jiao Li Shen Haizhao Yang Xiliang Lu
+ PDF Chat	The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation	2022	Qiang Du Yiqi Gu Haizhao Yang Chao Zhou
+ PDF Chat	2022 upgrade and improved low frequency camera sensitivity for CMB observation at the South Pole	2022	Ahmed Soliman P. A. R. Ade Zeeshan Ahmed M. Amiri D. Barkats R. Basu Thakur C. A. Bischoff D. Beck J. J. Bock V. Buza
+ PDF Chat	Simultaneous neural network approximation for smooth functions	2022	Sean Hon Haizhao Yang
+ PDF Chat	A Fast Petrov--Galerkin Spectral Method for the Multidimensional Boltzmann Equation Using Mapped Chebyshev Functions	2022	Jingwei Hu Xiaodong Huang Jie Shen Haizhao Yang
+ PDF Chat	Linear-scaling selected inversion based on hierarchical interpolative factorization for self Green's function for modified Poisson-Boltzmann equation in two dimensions	2022	Yihui Tu Qiyuan Pang Haizhao Yang Zhenli Xu
+	From Optimization Dynamics to Generalization Bounds via Łojasiewicz Gradient Inequality	2022	Liu Fu-sheng Haizhao Yang Soufiane Hayou Qianxiao Li
+	IAE-Net: Integral Autoencoders for Discretization-Invariant Learning	2022	Yong Zheng Ong Zuowei Shen Haizhao Yang
+	Deep Nonparametric Estimation of Operators between Infinite Dimensional Spaces	2022	Hao Liu Haizhao Yang Minshuo Chen Tuo Zhao Wenjing Liao
+	Neural Network Architecture Beyond Width and Depth	2022	Zuowei Shen Haizhao Yang Zhang Shi-jun
+	Reinforced Inverse Scattering	2022	Hanyang Jiang Yuehaw Khoo Haizhao Yang
+	Finite Expression Method for Solving High-Dimensional Partial Differential Equations	2022	Senwei Liang Haizhao Yang
+	The Lottery Ticket Hypothesis for Self-attention in Convolutional Neural Network	2022	Zhongzhan Huang Senwei Liang Mingfu Liang Wei He Haizhao Yang Liang Lin
+	On Fast Simulation of Dynamical System with Neural Vector Enhanced Numerical Solver	2022	Zhongzhan Huang Senwei Liang Hong Zhang Haizhao Yang Liang Lin
+	What is the Solution for State-Adversarial Multi-Agent Reinforcement Learning?	2022	Songyang Han Sanbao Su Sihong He Shuo Han Haizhao Yang Fei Miao
+	A Distributed Block Chebyshev-Davidson Algorithm for Parallel Spectral Clustering	2022	Qiyuan Pang Haizhao Yang
+	ReLU Network Approximation in Terms of Intrinsic Parameters	2021	Zuowei Shen Haizhao Yang Zhang Shi-jun
+	Generative imaging and image processing via generative encoder	2021	Yong Zheng Ong Haizhao Yang
+	Simultaneous Neural Network Approximations in Sobolev Spaces	2021	Sean Hon Haizhao Yang
+ PDF Chat	Optimal approximation rate of ReLU networks in terms of width and depth	2021	Zuowei Shen Haizhao Yang Zhang Shi-jun
+	Deep Network Approximation With Accuracy Independent of Number of Neurons	2021	Zuowei Shen Haizhao Yang Zhang Shi-jun
+ PDF Chat	SelectNet: Self-paced learning for high-dimensional partial differential equations	2021	Yiqi Gu Haizhao Yang Chao Zhou
+ PDF Chat	Neural network approximation: Three hidden layers are enough	2021	Zuowei Shen Haizhao Yang Zhang Shi-jun
+	Optimal Approximation Rate of ReLU Networks in terms of Width and Depth	2021	Zuowei Shen Haizhao Yang Zhang Shi-jun
+	Structure probing neural network deflation	2021	Yiqi Gu Chunmei Wang Haizhao Yang
+ PDF Chat	Deep Network With Approximation Error Being Reciprocal of Width to Power of Square Root of Depth	2021	Zuowei Shen Haizhao Yang Zhang Shi-jun
+ PDF Chat	Friedrichs Learning: Weak Solutions of Partial Differential Equations via Deep Learning	2021	Fan Chen Jianguo Huang Chunmei Wang Haizhao Yang
+	Reproducing Activation Function for Deep Learning	2021	Senwei Liang Liyao Lyu Chunmei Wang Haizhao Yang
+	The Discovery of Dynamics via Linear Multistep Methods and Deep Learning: Error Estimation	2021	Qiang Du Yiqi Gu Haizhao Yang Chao Zhou
+	Solving PDEs on Unknown Manifolds with Machine Learning	2021	Senwei Liang Shixiao W. Jiang John Harlim Haizhao Yang
+ PDF Chat	Interior eigensolver for sparse Hermitian definite matrices based on Zolotarev’s functions	2021	Yingzhou Li Haizhao Yang
+	Deep Network Approximation: Achieving Arbitrary Accuracy with Fixed Number of Neurons	2021	Zuowei Shen Haizhao Yang Zhang Shi-jun
+	Blending Pruning Criteria for Convolutional Neural Networks	2021	Wei He Zhongzhan Huang Mingfu Liang Senwei Liang Haizhao Yang
+	Multiscale and Nonlocal Learning for PDEs using Densely Connected RNNs	2021	Ricardo Delgadillo Jingwei Hu Haizhao Yang
+	Stationary Density Estimation of Itô Diffusions Using Deep Learning	2021	Yiqi Gu John Harlim Senwei Liang Haizhao Yang
+ PDF Chat	Blending Pruning Criteria for Convolutional Neural Networks	2021	Wei He Zhongzhan Huang Mingfu Liang Senwei Liang Haizhao Yang
+ PDF Chat	Deep Network Approximation for Smooth Functions	2021	Jianfeng Lu Zuowei Shen Haizhao Yang Zhang Shi-jun
+ PDF Chat	Deep ReLU Networks Overcome the Curse of Dimensionality for Generalized Bandlimited Functions	2021	Hadrien Montanelli Haizhao Yang Qiang Du
+ PDF Chat	Rapid Application of the Spherical Harmonic Transform via Interpolative Decomposition Butterfly Factorization	2021	James Bremer Ze Chen Haizhao Yang
+	Simultaneous Neural Network Approximation for Smooth Functions	2021	Sean Hon Haizhao Yang
+	Deep Network Approximation in Terms of Intrinsic Parameters	2021	Zuowei Shen Haizhao Yang Zhang Shi-jun
+	A fast Petrov-Galerkin spectral method for the multi-dimensional Boltzmann equation using mapped Chebyshev functions	2021	J. Y. Hu Xiaodong Huang Jie Shen Haizhao Yang
+ PDF Chat	Machine learning for prediction with missing dynamics	2020	John Harlim Shixiao W. Jiang Senwei Liang Haizhao Yang
+	Deep Network Approximation with Discrepancy Being Reciprocal of Width to Power of Depth.	2020	Zuowei Shen Haizhao Yang Zhang Shi-jun
+ PDF Chat	Int-Deep: A deep learning initialized iterative method for nonlinear problems	2020	Jianguo Huang Haoqin Wang Haizhao Yang
+ PDF Chat	Error bounds for deep ReLU networks using the Kolmogorov–Arnold superposition theorem	2020	Hadrien Montanelli Haizhao Yang
+ PDF Chat	Instance Enhancement Batch Normalization: An Adaptive Regulator of Batch Noise	2020	Senwei Liang Zhongzhan Huang Mingfu Liang Haizhao Yang
+ PDF Chat	DIANet: Dense-and-Implicit Attention Network	2020	Zhongzhan Huang Senwei Liang Mingfu Liang Haizhao Yang
+ PDF Chat	Multidimensional phase recovery and interpolative decomposition butterfly factorization	2020	Ze Chen Juan Zhang Kenneth L. Ho Haizhao Yang
+ PDF Chat	Fast algorithms for the multi-dimensional Jacobi polynomial transform	2020	James Bremer Qiyuan Pang Haizhao Yang
+	Deep Network Approximation for Smooth Functions	2020	Jianfeng Lu Zuowei Shen Haizhao Yang Zhang Shi-jun
+ PDF Chat	Interpolative Decomposition Butterfly Factorization	2020	Qiyuan Pang Kenneth L. Ho Haizhao Yang
+	Rapid Application of the Spherical Harmonic Transform via Interpolative Decomposition Butterfly Factorization	2020	James Bremer Chen Ze Haizhao Yang
+ PDF Chat	A Fast Algorithm for Multiresolution Mode Decomposition	2020	Gao Tang Haizhao Yang
+	Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory	2020	Tao Luo Haizhao Yang
+ PDF Chat	Deep Network Approximation Characterized by Number of Neurons	2020	Zuowei Shen Haizhao Yang Zhang Shi-jun
+	Efficient Attention Network: Accelerate Attention by Searching Where to Plug	2020	Zhongzhan Huang Senwei Liang Mingfu Liang He Wei Haizhao Yang
+	Friedrichs Learning: Weak Solutions of Partial Differential Equations via Deep Learning	2020	Fan Chen Jianguo Huang Chunmei Wang Haizhao Yang
+ PDF Chat	Multiresolution mode decomposition for adaptive time series analysis	2019	Haizhao Yang
+ PDF Chat	A hierarchical butterfly LU preconditioner for two-dimensional electromagnetic scattering problems involving open surfaces	2019	Yang Liu Haizhao Yang
+ PDF Chat	Nonlinear approximation via compositions	2019	Zuowei Shen Haizhao Yang Zhang Shi-jun
+ PDF Chat	Fast algorithms for Jacobi expansions via nonoscillatory phase functions	2019	James Bremer Haizhao Yang
+ PDF Chat	A unified framework for oscillatory integral transforms: When to use NUFFT or butterfly factorization?	2019	Haizhao Yang
+	Deep ReLU networks overcome the curse of dimensionality for bandlimited functions	2019	Hadrien Montanelli Haizhao Yang Qiang Du
+	Fast Algorithms for the Multi-dimensional Jacobi Polynomial Transform	2019	James Bremer Qiyuan Pang Haizhao Yang
+	CASS: Cross Adversarial Source Separation via Autoencoder	2019	Yong Zheng Ong Charles K. Chui Haizhao Yang
+	SelectNet: Learning to Sample from the Wild for Imbalanced Data Training	2019	Yunru Liu Tingran Gao Haizhao Yang
+	DIANet: Dense-and-Implicit Attention Network	2019	Zhongzhan Huang Senwei Liang Mingfu Liang Haizhao Yang
+	Generative Imaging and Image Processing via Generative Encoder	2019	Lin Chen Haizhao Yang
+	Error bounds for deep ReLU networks using the Kolmogorov--Arnold superposition theorem	2019	Hadrien Montanelli Haizhao Yang
+	Instance Enhancement Batch Normalization: an Adaptive Regulator of Batch Noise	2019	Senwei Liang Zhongzhan Huang Mingfu Liang Haizhao Yang
+ PDF Chat	$3D$ crystal image analysis based on fast synchro-squeezed transforms	2019	Tao Zhang Ling Li Haizhao Yang
+	Non-Oscillatory Pattern Learning for Non-Stationary Signals	2018	Jieren Xu Yitong Li David B. Dunson Ingrid Daubechies Haizhao Yang
+	Fast algorithms for Jacobi expansions via nonoscillatory phase functions	2018	James Bremer Haizhao Yang
+	Interpolative Decomposition Butterfly Factorization	2018	Qiyuan Pang Kenneth L. Ho Haizhao Yang
+	Drop-Activation: Implicit Parameter Reduction and Harmonic Regularization	2018	Senwei Liang Yuehaw Khoo Haizhao Yang
+	$3D$ Crystal Image Analysis based on Fast Synchrosqueezed Transforms	2018	Tao Zhang Ling Li Haizhao Yang
+ PDF Chat	Phase-Space Sketching for Crystal Image Analysis Based on Synchrosqueezed Transforms	2018	Jianfeng Lu Haizhao Yang
+ PDF Chat	Recursive Diffeomorphism-Based Regression for Shape Functions	2018	Jieren Xu Haizhao Yang Ingrid Daubechies
+	PiPs: a Kernel-based Optimization Scheme for Analyzing Non-Stationary 1D Signals	2018	Jieren Xu Yitong Li Haizhao Yang David B. Dunson Ingrid Daubechies
+ PDF Chat	Diffusion Forecasting Model with Basis Functions from QR-Decomposition	2017	John Harlim Haizhao Yang
+ PDF Chat	ELSI: A unified software interface for Kohn–Sham electronic structure solvers	2017	Victor Wen‐zhe Yu Fabiano Corsetti Alberto Garcı́a William Huhn Mathias Jacquelin Weile Jia Björn Lange Lin Lin Jianfeng Lu Wenhui Mi
+ PDF Chat	Multidimensional butterfly factorization	2017	Yingzhou Li Haizhao Yang Lexing Ying
+ PDF Chat	A cubic scaling algorithm for excited states calculations in particle–particle random phase approximation	2017	Jianfeng Lu Haizhao Yang
+	Spectrum Slicing for Sparse Hermitian Definite Matrices Based on Zolotarev's Functions	2017	Yingzhou Li Haizhao Yang
+	Statistical analysis of synchrosqueezed transforms	2017	Haizhao Yang
+ PDF Chat	Preconditioning Orbital Minimization Method for Planewave Discretization	2017	Jianfeng Lu Haizhao Yang
+ PDF Chat	Interpolative Butterfly Factorization	2017	Yingzhou Li Haizhao Yang
+	Phase Space Sketching for Crystal Image Analysis based on Synchrosqueezed Transforms	2017	Jianfeng Lu Haizhao Yang
+	Multiresolution Mode Decomposition for Adaptive Time Series Analysis	2017	Haizhao Yang
+	Interior Eigensolver for Sparse Hermitian Definite Matrices Based on Zolotarev's Functions	2017	Yingzhou Li Haizhao Yang
+	A Fast Algorithm for Multiresolution Mode Decomposition	2017	Gao Tang Haizhao Yang
+ PDF Chat	Brute-force mapmaking with compact interferometers: a MITEoR northern sky map from 128 to 175 MHz	2016	Haoxuan Zheng Max Tegmark Joshua S. Dillon A. Liu Abraham R. Neben S. Tribiano Richard F. Bradley V. Buza Aaron Ewall‐Wice Hrant Gharibyan
+ PDF Chat	Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis	2016	Jianfeng Lu Benedikt Wirth Haizhao Yang
+	Recursive Diffeomorphism-Based Regression for Shape Functions	2016	Jieren Xu Haizhao Yang Ingrid Daubechies
+	Preconditioning orbital minimization method for planewave discretization	2016	Jianfeng Lu Haizhao Yang
+	Oscillatory data analysis and fast algorithms for integral operators	2015	Haizhao Yang
+ PDF Chat	Crystal Image Analysis Using 2D Synchrosqueezed Transforms	2015	Haizhao Yang Jianfeng Lu Lexing Ying
+ PDF Chat	A Multiscale Butterfly Algorithm for Multidimensional Fourier Integral Operators	2015	Yingzhou Li Haizhao Yang Lexing Ying
+ PDF Chat	Butterfly Factorization	2015	Yingzhou Li Haizhao Yang Eileen Martin Kenneth L. Ho Lexing Ying
+	Robustness Analysis of Synchrosqueezed Transforms	2014	Haizhao Yang
+ PDF Chat	MITEoR: a scalable interferometer for precision 21 cm cosmology	2014	Haoxuan Zheng Max Tegmark V. Buza Joshua S. Dillon Hrant Gharibyan J. Hickish E. Kunz A. Liu Jonathan L Losh Andrew Lutomirski
+	Synchrosqueezed wave packet transforms and diffeomorphism based spectral analysis for 1D general mode decompositions	2014	Haizhao Yang
+ PDF Chat	Synchrosqueezed Curvelet Transform for Two-Dimensional Mode Decomposition	2014	Haizhao Yang Lexing Ying
+	Statistical Analysis of Synchrosqueezed Transforms	2014	Haizhao Yang
+	Crystal image analysis using $2D$ synchrosqueezed transforms	2014	Haizhao Yang Jianfeng Lu Lexing Ying
+	Synchrosqueezed Curvelet Transform for 2D Mode Decomposition	2013	Haizhao Yang Lexing Ying
+ PDF Chat	Synchrosqueezed Wave Packet Transform for 2D Mode Decomposition	2013	Haizhao Yang Lexing Ying
+	Synchrosqueezed Wave Packet Transforms and Diffeomorphism Based Spectral Analysis for 1D General Mode Decompositions	2013	Haizhao Yang
+	Shock tube study of the rate coefficient of H + O2 → OH + O	1994	Haizhao Yang W. C. Gardiner Kuan Soo Shin Nobutaka Fujii

Common Coauthors

Coauthor	Papers Together
Senwei Liang	19
Zuowei Shen	15
Zhang Shi-jun	14
Jianfeng Lu	9
Zhongzhan Huang	9
Mingfu Liang	8
Qiyuan Pang	8
Lexing Ying	8
Chunmei Wang	7
Yingzhou Li	7
Yiqi Gu	6
James Bremer	6
John Harlim	6
Ingrid Daubechies	5
Jieren Xu	5
Kenneth L. Ho	4
Qiang Du	4
Hadrien Montanelli	4
Jianguo Huang	4
Yuling Jiao	3
Sean Hon	3
Yuehaw Khoo	3
Yong Zheng Ong	3
Chao Zhou	3
Shixiao W. Jiang	3
Zhenli Xu	2
Abraham R. Neben	2
Ioana A. Zelko	2
S. Tribiano	2
Sruthi A. Narayanan	2
E. Kunz	2
Hrant Gharibyan	2
Ashley Perko	2
Haoxuan Zheng	2
Kristian Zarb Adami	2
Kim-Chuan Toh	2
Xiangxiong Zhang	2
Jonathan L Losh	2
Katelin Schutz	2
Xiliang Lu	2
Joshua S. Dillon	2
E. Morgan	2
Wei He	2
J. Hickish	2
Richard F. Bradley	2
Devon Rosner	2
Liyao Lyu	2
V. Buza	2
Aaron Ewall‐Wice	2
Yihui Tu	2

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Error bounds for approximations with deep ReLU networks	2017	Dmitry Yarotsky	24
+ PDF Chat	Error bounds for deep ReLU networks using the Kolmogorov–Arnold superposition theorem	2020	Hadrien Montanelli Haizhao Yang	22
+	Deep ReLU networks overcome the curse of dimensionality for bandlimited functions	2019	Hadrien Montanelli Haizhao Yang Qiang Du	21
+ PDF Chat	Optimal approximation of piecewise smooth functions using deep ReLU neural networks	2018	Philipp Petersen Felix Voigtlaender	20
+ PDF Chat	New Error Bounds for Deep ReLU Networks Using Sparse Grids	2019	Hadrien Montanelli Qiang Du	19
+ PDF Chat	Deep Network Approximation Characterized by Number of Neurons	2020	Zuowei Shen Haizhao Yang Zhang Shi-jun	17
+ PDF Chat	Exponential convergence of the deep neural network approximation for analytic functions	2018	E Weinan Qingcan Wang	16
+ PDF Chat	Deep Residual Learning for Image Recognition	2016	Kaiming He Xiangyu Zhang Shaoqing Ren Jian Sun	16
+ PDF Chat	Nonlinear approximation via compositions	2019	Zuowei Shen Haizhao Yang Zhang Shi-jun	16
+ PDF Chat	Neural network approximation: Three hidden layers are enough	2021	Zuowei Shen Haizhao Yang Zhang Shi-jun	16
+	Deep Network Approximation for Smooth Functions	2020	Jianfeng Lu Zuowei Shen Haizhao Yang Zhang Shi-jun	15
+ PDF Chat	A fast directional algorithm for high frequency acoustic scattering in two dimensions	2009	Björn Engquist Lexing Ying	15
+	Solving high-dimensional partial differential equations using deep learning	2018	Jiequn Han Arnulf Jentzen E Weinan	15
+ PDF Chat	<i>A priori</i> estimates of the population risk for two-layer neural networks	2019	E Weinan Chao Ma Lei Wu	15
+ PDF Chat	Deep Network Approximation for Smooth Functions	2021	Jianfeng Lu Zuowei Shen Haizhao Yang Zhang Shi-jun	14
+ PDF Chat	Synchrosqueezed Curvelet Transform for Two-Dimensional Mode Decomposition	2014	Haizhao Yang Lexing Ying	13
+	Optimal approximation of continuous functions by very deep ReLU networks	2018	Dmitry Yarotsky	13
+ PDF Chat	Synchrosqueezed Wave Packet Transform for 2D Mode Decomposition	2013	Haizhao Yang Lexing Ying	13
+	An algorithm for the rapid evaluation of special function transforms	2009	Michael O’Neil Franco Woolfe Vladimir Rokhlin	13
+ PDF Chat	Deep Network With Approximation Error Being Reciprocal of Width to Power of Square Root of Depth	2021	Zuowei Shen Haizhao Yang Zhang Shi-jun	13
+ PDF Chat	Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions	2011	Nathan Halko Per‐Gunnar Martinsson Joel A. Tropp	12
+	DGM: A deep learning algorithm for solving partial differential equations	2018	Justin Sirignano Konstantinos Spiliopoulos	12
+	Neural Tangent Kernel: Convergence and Generalization in Neural Networks	2018	Arthur Paul Jacot Franck Gabriel Clément Hongler	11
+	Nearly-tight VC-dimension bounds for piecewise linear neural networks	2017	Nick Harvey Chris Liaw Abbas Mehrabian	11
+ PDF Chat	A proof that rectified deep neural networks overcome the curse of dimensionality in the numerical approximation of semilinear heat equations	2020	Martin Hutzenthaler Arnulf Jentzen Thomas Kruse Tuan Anh Nguyen	11
+ PDF Chat	A mean field view of the landscape of two-layer neural networks	2018	Mei Song Andrea Montanari Phan-Minh Nguyen	11
+	Using synchrosqueezing transform to discover breathing dynamics from ECG signals	2013	Hau‐Tieng Wu Yi‐Hsin Chan Yu-Ting Lin Yung-Hsin Yeh	11
+ PDF Chat	SelectNet: Self-paced learning for high-dimensional partial differential equations	2021	Yiqi Gu Haizhao Yang Chao Zhou	10
+	A Priori Estimates of the Population Risk for Residual Networks	2019	E Weinan Chao Ma Qingcan Wang	10
+ PDF Chat	The Deep Ritz Method: A Deep Learning-Based Numerical Algorithm for Solving Variational Problems	2018	E Weinan Bing Yu	10
+	Instantaneous frequency and wave shape functions (I)	2012	Hau‐Tieng Wu	10
+	Weak adversarial networks for high-dimensional partial differential equations	2020	Yaohua Zang Gang Bao Xiaojing Ye Haomin Zhou	10
+	Synchrosqueezed wave packet transforms and diffeomorphism based spectral analysis for 1D general mode decompositions	2014	Haizhao Yang	10
+	Optimal nonlinear approximation	1989	Ronald DeVore Ralph Howard Charles A. Micchelli	9
+	Why Deep Neural Networks	2016	Shiyu Liang R. Srikant	9
+	Approximation rates for neural networks with general activation functions	2020	Jonathan W. Siegel Jinchao Xu	9
+ PDF Chat	A unified deep artificial neural network approach to partial differential equations in complex geometries	2018	Jens Berg Kaj Nyström	9
+ PDF Chat	Butterfly Factorization	2015	Yingzhou Li Haizhao Yang Eileen Martin Kenneth L. Ho Lexing Ying	9
+ PDF Chat	Solving parametric PDE problems with artificial neural networks	2020	Yuehaw Khoo Jianfeng Lu Lexing Ying	9
+ PDF Chat	Error bounds for approximations with deep ReLU neural networks in Ws,p norms	2019	Ingo Gühring Gitta Kutyniok Philipp Petersen	9
+ PDF Chat	Combining 2D synchrosqueezed wave packet transform with optimization for crystal image analysis	2016	Jianfeng Lu Benedikt Wirth Haizhao Yang	9
+	Wave atoms and sparsity of oscillatory patterns	2007	Laurent Demanet Lexing Ying	9
+	Exponential Convergence of the Deep Neural Network Approximation for Analytic Functions	2018	E Weinan Qingcan Wang	8
+ PDF Chat	Crystal Image Analysis Using 2D Synchrosqueezed Transforms	2015	Haizhao Yang Jianfeng Lu Lexing Ying	8
+	Two-Layer Neural Networks for Partial Differential Equations: Optimization and Generalization Theory	2020	Tao Luo Haizhao Yang	8
+ PDF Chat	Optimal Approximation with Sparsely Connected Deep Neural Networks	2019	Helmut Bölcskei Philipp Grohs Gitta Kutyniok Philipp Petersen	8
+	The phase diagram of approximation rates for deep neural networks	2019	Dmitry Yarotsky Anton Zhevnerchuk	7
+ PDF Chat	Fast Computation of Fourier Integral Operators	2007	Emmanuel J. Candès Laurent Demanet Lexing Ying	7
+	Divergence (Runge Phenomenon) for least-squares polynomial approximation on an equispaced grid and Mock–Chebyshev subset interpolation	2009	John P. Boyd Fei Xu	7
+ PDF Chat	Synchrosqueezing-Based Recovery of Instantaneous Frequency from Nonuniform Samples	2011	Gaurav Thakur Hau‐Tieng Wu	7