Frequency principle: Fourier analysis sheds light on deep neural networks. Zbl 1507.68279
Xu, Zhi-Qin John; Zhang, Yaoyu; Luo, Tao; Xiao, Yanyang; Ma, Zheng |
|
2020
|
Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro-macro decomposition-based asymptotic-preserving method. Zbl 1375.65004
Jin, Shi; Liu, Jian-Guo; Ma, Zheng |
|
2017
|
Uniformly accurate machine learning-based hydrodynamic models for kinetic equations. Zbl 1431.76100
Han, Jiequn; Ma, Chao; Ma, Zheng; E, Weinan |
|
2019
|
On the estimation of stochastically ordered survival functions. Zbl 0925.62135
Rojo, Javier; Ma, Zheng |
|
1996
|
An improved semi-Lagrangian time splitting spectral method for the semi-classical Schrödinger equation with vector potentials using NUFFT. Zbl 1416.65380
Ma, Zheng; Zhang, Yong; Zhou, Zhennan |
|
2017
|
A multi-domain spectral collocation method for Volterra integral equations with a weakly singular kernel. Zbl 1467.65118
Ma, Zheng; Alikhanov, Anatoly A.; Huang, Chengming; Zhang, Guoyu |
|
2021
|
Explicit and implicit TVD schemes for conservation laws with Caputo derivatives. Zbl 1371.65083
Liu, Jian-Guo; Ma, Zheng; Zhou, Zhennan |
|
2017
|
Asymptotic-preserving neural networks for multiscale time-dependent linear transport equations. Zbl 07698821
Jin, Shi; Ma, Zheng; Wu, Keke |
|
2023
|
MOD-Net: a machine learning approach via model-operator-data network for solving PDEs. Zbl 1497.35088
Zhang, Lulu; Luo, Tao; Zhang, Yaoyu; E, Weinan; Xu, Zhi-Qin John; Ma, Zheng |
|
2022
|
Fast Haar transforms for graph neural networks. Zbl 1468.68185
Li, Ming; Ma, Zheng; Wang, Yu Guang; Zhuang, Xiaosheng |
|
2020
|
A fast spectral method for the inelastic Boltzmann collision operator and application to heated granular gases. Zbl 1451.76140
Hu, Jingwei; Ma, Zheng |
|
2019
|
Constructions of optimal low-hit-zone frequency hopping sequence sets. Zbl 1381.94057
Zhou, Limengnan; Peng, Daiyuan; Liang, Hongbin; Wang, Changyuan; Ma, Zheng |
|
2017
|
Construction of optimal low-hit-zone frequency hopping sequence sets under periodic partial Hamming correlation. Zbl 1414.94907
Zhou, Limengnan; Peng, Daiyuan; Han, Hongyu; Liang, Hongbin; Ma, Zheng |
|
2018
|
Construction of low-hit-zone frequency hopping sequences with optimal partial Hamming correlation by interleaving techniques. Zbl 1381.94052
Han, Hongyu; Peng, Daiyuan; Parampalli, Udaya; Ma, Zheng; Liang, Hongbin |
|
2017
|
An \(hp\)-version fractional collocation method for Volterra integro-differential equations with weakly singular kernels. Zbl 1511.65061
Ma, Zheng; Huang, Chengming |
|
2023
|
The discrete stochastic Galerkin method for hyperbolic equations with non-smooth and random coefficients. Zbl 1398.65210
Jin, Shi; Ma, Zheng |
|
2018
|
Phase diagram for two-layer ReLU neural networks at infinite-width limit. Zbl 1539.68309
Luo, Tao; Xu, Zhi-Qin John; Ma, Zheng; Zhang, Yaoyu |
|
2021
|
Reliable event-based dissipative filter design for discrete-time system with dynamic quantization and sensor fault. Zbl 1510.93322
Ma, Zheng; Song, Jiasheng; Zhou, Jianping |
|
2022
|
Frequency-hopping sequence sets with good aperiodic Hamming correlation property. Zbl 1458.94207
Zhou, Limengnan; Peng, Daiyuan; Liu, Xing; Han, Hongyu; Ma, Zheng |
|
2019
|
Sharp error bounds for a fractional collocation method for weakly singular Volterra integral equations with variable exponent. Zbl 07900959
Ma, Zheng; Stynes, Martin |
|
2024
|
Path integral based convolution and pooling for graph neural networks. Zbl 1539.68310
Ma, Zheng; Xuan, Junyu; Wang, Yu Guang; Li, Ming; Liò, Pietro |
|
2021
|
Capturing the diffusive behavior of the multiscale linear transport equations by asymptotic-preserving convolutional deeponets. Zbl 1539.35206
Wu, Keke; Yan, Xiong-Bin; Jin, Shi; Ma, Zheng |
|
2024
|
Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations. Zbl 1533.65256
Ma, Zheng; Stynes, Martin; Huang, Chengming |
|
2024
|
Sharp error bounds for a fractional collocation method for weakly singular Volterra integral equations with variable exponent. Zbl 07900959
Ma, Zheng; Stynes, Martin |
|
2024
|
Capturing the diffusive behavior of the multiscale linear transport equations by asymptotic-preserving convolutional deeponets. Zbl 1539.35206
Wu, Keke; Yan, Xiong-Bin; Jin, Shi; Ma, Zheng |
|
2024
|
Convergence and superconvergence of a fractional collocation method for weakly singular Volterra integro-differential equations. Zbl 1533.65256
Ma, Zheng; Stynes, Martin; Huang, Chengming |
|
2024
|
Asymptotic-preserving neural networks for multiscale time-dependent linear transport equations. Zbl 07698821
Jin, Shi; Ma, Zheng; Wu, Keke |
|
2023
|
An \(hp\)-version fractional collocation method for Volterra integro-differential equations with weakly singular kernels. Zbl 1511.65061
Ma, Zheng; Huang, Chengming |
|
2023
|
MOD-Net: a machine learning approach via model-operator-data network for solving PDEs. Zbl 1497.35088
Zhang, Lulu; Luo, Tao; Zhang, Yaoyu; E, Weinan; Xu, Zhi-Qin John; Ma, Zheng |
|
2022
|
Reliable event-based dissipative filter design for discrete-time system with dynamic quantization and sensor fault. Zbl 1510.93322
Ma, Zheng; Song, Jiasheng; Zhou, Jianping |
|
2022
|
A multi-domain spectral collocation method for Volterra integral equations with a weakly singular kernel. Zbl 1467.65118
Ma, Zheng; Alikhanov, Anatoly A.; Huang, Chengming; Zhang, Guoyu |
|
2021
|
Phase diagram for two-layer ReLU neural networks at infinite-width limit. Zbl 1539.68309
Luo, Tao; Xu, Zhi-Qin John; Ma, Zheng; Zhang, Yaoyu |
|
2021
|
Path integral based convolution and pooling for graph neural networks. Zbl 1539.68310
Ma, Zheng; Xuan, Junyu; Wang, Yu Guang; Li, Ming; Liò, Pietro |
|
2021
|
Frequency principle: Fourier analysis sheds light on deep neural networks. Zbl 1507.68279
Xu, Zhi-Qin John; Zhang, Yaoyu; Luo, Tao; Xiao, Yanyang; Ma, Zheng |
|
2020
|
Fast Haar transforms for graph neural networks. Zbl 1468.68185
Li, Ming; Ma, Zheng; Wang, Yu Guang; Zhuang, Xiaosheng |
|
2020
|
Uniformly accurate machine learning-based hydrodynamic models for kinetic equations. Zbl 1431.76100
Han, Jiequn; Ma, Chao; Ma, Zheng; E, Weinan |
|
2019
|
A fast spectral method for the inelastic Boltzmann collision operator and application to heated granular gases. Zbl 1451.76140
Hu, Jingwei; Ma, Zheng |
|
2019
|
Frequency-hopping sequence sets with good aperiodic Hamming correlation property. Zbl 1458.94207
Zhou, Limengnan; Peng, Daiyuan; Liu, Xing; Han, Hongyu; Ma, Zheng |
|
2019
|
Construction of optimal low-hit-zone frequency hopping sequence sets under periodic partial Hamming correlation. Zbl 1414.94907
Zhou, Limengnan; Peng, Daiyuan; Han, Hongyu; Liang, Hongbin; Ma, Zheng |
|
2018
|
The discrete stochastic Galerkin method for hyperbolic equations with non-smooth and random coefficients. Zbl 1398.65210
Jin, Shi; Ma, Zheng |
|
2018
|
Uniform spectral convergence of the stochastic Galerkin method for the linear transport equations with random inputs in diffusive regime and a micro-macro decomposition-based asymptotic-preserving method. Zbl 1375.65004
Jin, Shi; Liu, Jian-Guo; Ma, Zheng |
|
2017
|
An improved semi-Lagrangian time splitting spectral method for the semi-classical Schrödinger equation with vector potentials using NUFFT. Zbl 1416.65380
Ma, Zheng; Zhang, Yong; Zhou, Zhennan |
|
2017
|
Explicit and implicit TVD schemes for conservation laws with Caputo derivatives. Zbl 1371.65083
Liu, Jian-Guo; Ma, Zheng; Zhou, Zhennan |
|
2017
|
Constructions of optimal low-hit-zone frequency hopping sequence sets. Zbl 1381.94057
Zhou, Limengnan; Peng, Daiyuan; Liang, Hongbin; Wang, Changyuan; Ma, Zheng |
|
2017
|
Construction of low-hit-zone frequency hopping sequences with optimal partial Hamming correlation by interleaving techniques. Zbl 1381.94052
Han, Hongyu; Peng, Daiyuan; Parampalli, Udaya; Ma, Zheng; Liang, Hongbin |
|
2017
|
On the estimation of stochastically ordered survival functions. Zbl 0925.62135
Rojo, Javier; Ma, Zheng |
|
1996
|
