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Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks

Communications in computational physics, 2020-11, Vol.28 (5), p.1746-1767

2020

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Training Behavior of Deep Neural Network in Frequency Domain

Neural Information Processing, p.264-274

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Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains

Communications in computational physics, 2020-11, Vol.28 (5), p.1970-2001

2020

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A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

Communications in computational physics, 2020-11, Vol.28 (5), p.1886-1906

2020

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Implicit Regularization of Dropout

IEEE transactions on pattern analysis and machine intelligence, 2024-06, Vol.46 (6), p.4206-4217

2024

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A Correction and Comments on “Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains CiCP, 28 (5): 1970–2001, 2020”

Communications in computational physics, 2023, Vol.33 (5), p.1509-1513

2023

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MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

Communications in computational physics, 2022, Vol.32 (2), p.299-335

2022

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Tectonic framework and crustal evolution of the Precambrian basement of the Tarim Block in NW China: New geochronological evidence from deep drilling samples

Precambrian research, 2013-09, Vol.235, p.150-162

2013

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Theory of the Frequency Principle for General Deep Neural Networks

CSIAM Transactions on Applied Mathematics, 2021-09, Vol.2 (3), p.484-507

2021

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Data-informed deep optimization

PloS one, 2022-06, Vol.17 (6), p.e0270191-e0270191

2022

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A regularised deep matrix factorised model of matrix completion for image restoration

IET image processing, 2022-10, Vol.16 (12), p.3212-3224

2022

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Asprosin in the Paraventricular Nucleus Induces Sympathetic Activation and Pressor Responses via cAMP-Dependent ROS Production

International journal of molecular sciences, 2022-10, Vol.23 (20), p.12595

2022

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Neural networks of different species, brain areas and states can be characterized by the probability polling state

The European journal of neuroscience, 2020-10, Vol.52 (7), p.3790-3802

2020

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Geochronology and geochemistry of basaltic lavas in the Dongbo and Purang ophiolites of the Yarlung-Zangbo Suture zone: Plume-influenced continental margin-type oceanic lithosphere in southern Tibet

Gondwana research, 2015-02, Vol.27 (2), p.701-718

2015

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A Linear Frequency Principle Model to Understand the Absence of Overfitting in Neural Networks

Chinese physics letters, 2021-03, Vol.38 (3), p.38701-126

2021

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Crustal structure of the Indus–Tsangpo suture zone and its ophiolites in southern Tibet

Gondwana research, 2015-02, Vol.27 (2), p.507-524

2015

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Embedding Principle in Depth for the Loss Landscape Analysis of Deep Neural Networks

CSIAM Transactions on Applied Mathematics, 2024-01, Vol.5 (2), p.350-389

2024

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A cautionary tale of entropic criteria in assessing the validity of the maximum entropy principle

Europhysics letters, 2019-05, Vol.126 (3), p.38005

2019

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Responsiveness and Predictive Ability of the Chinese Version of the Action Research Arm Test in People with Cerebral Infarction

BioMed research international, 2019, Vol.2019 (2019), p.1-8

2019

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Phase Diagram of Initial Condensation for Two-Layer Neural Networks

CSIAM Transactions on Applied Mathematics, 2024-01, Vol.5 (3), p.448-514

2024

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Subspace decomposition based DNN algorithm for elliptic type multi-scale PDEs

Journal of computational physics, 2023-09, Vol.488, p.112242, Article 112242

2023

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Dynamical and Coupling Structure of Pulse-Coupled Networks in Maximum Entropy Analysis

Entropy (Basel, Switzerland), 2019-01, Vol.21 (1), p.76

2019

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Artificial neural network aided unstable combustion state prediction and dominant chemical kinetic analysis

Chemical engineering science, 2024-12, Vol.300, p.120567, Article 120567

2024

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DeepFlame: A deep learning empowered open-source platform for reacting flow simulations

Computer physics communications, 2023-10, Vol.291, p.108842, Article 108842

2023

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Implicit Bias in Understanding Deep Learning for Solving PDEs Beyond Ritz-Galerkin Method

CSIAM Transactions on Applied Mathematics, 2022-01, Vol.3 (2), p.299-317

2022

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Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks

Training Behavior of Deep Neural Network in Frequency Domain

Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains

A Multi-Scale DNN Algorithm for Nonlinear Elliptic Equations with Multiple Scales

Implicit Regularization of Dropout

A Correction and Comments on “Multi-Scale Deep Neural Network (MscaleDNN) for Solving Poisson-Boltzmann Equation in Complex Domains CiCP, 28 (5): 1970–2001, 2020”

MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs

Tectonic framework and crustal evolution of the Precambrian basement of the Tarim Block in NW China: New geochronological evidence from deep drilling samples

Theory of the Frequency Principle for General Deep Neural Networks

Data-informed deep optimization

A regularised deep matrix factorised model of matrix completion for image restoration

Asprosin in the Paraventricular Nucleus Induces Sympathetic Activation and Pressor Responses via cAMP-Dependent ROS Production

Neural networks of different species, brain areas and states can be characterized by the probability polling state

Geochronology and geochemistry of basaltic lavas in the Dongbo and Purang ophiolites of the Yarlung-Zangbo Suture zone: Plume-influenced continental margin-type oceanic lithosphere in southern Tibet

A Linear Frequency Principle Model to Understand the Absence of Overfitting in Neural Networks

Crustal structure of the Indus–Tsangpo suture zone and its ophiolites in southern Tibet

Embedding Principle in Depth for the Loss Landscape Analysis of Deep Neural Networks

A cautionary tale of entropic criteria in assessing the validity of the maximum entropy principle

Responsiveness and Predictive Ability of the Chinese Version of the Action Research Arm Test in People with Cerebral Infarction

Phase Diagram of Initial Condensation for Two-Layer Neural Networks

Subspace decomposition based DNN algorithm for elliptic type multi-scale PDEs

Dynamical and Coupling Structure of Pulse-Coupled Networks in Maximum Entropy Analysis

Artificial neural network aided unstable combustion state prediction and dominant chemical kinetic analysis

DeepFlame: A deep learning empowered open-source platform for reacting flow simulations

Implicit Bias in Understanding Deep Learning for Solving PDEs Beyond Ritz-Galerkin Method

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