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Explicit Estimation of Derivatives from Data and Differential Equations
  by Gaussian Process Regression
v1v2 (latest)

Explicit Estimation of Derivatives from Data and Differential Equations by Gaussian Process Regression

International Journal for Uncertainty Quantification (IJUQ), 2020
13 April 2020
Hongqiao Wang
Xiang Zhou
ArXiv (abs)PDFHTML

Papers citing "Explicit Estimation of Derivatives from Data and Differential Equations by Gaussian Process Regression"

11 / 11 papers shown
Data-driven Learning of Interaction Laws in Multispecies Particle Systems with Gaussian Processes: Convergence Theory and Applications
Data-driven Learning of Interaction Laws in Multispecies Particle Systems with Gaussian Processes: Convergence Theory and Applications
Jinchao Feng
Charles Kulick
Sui Tang
106
0
0
03 Nov 2025
Accelerated Bayesian Optimal Experimental Design via Conditional Density Estimation and Informative Data
Accelerated Bayesian Optimal Experimental Design via Conditional Density Estimation and Informative Data
Miao Huang
Hongqiao Wang
Kunyu Wu
75
0
0
21 Jul 2025
Model-Embedded Gaussian Process Regression for Parameter Estimation in
  Dynamical System
Model-Embedded Gaussian Process Regression for Parameter Estimation in Dynamical System
Ying Zhou
Jinglai Li
Xiang Zhou
Hongqiao Wang
144
1
0
18 Sep 2024
The Weak Form Is Stronger Than You Think
The Weak Form Is Stronger Than You Think
Daniel Messenger
April Tran
Vanja M. Dukic
David M. Bortz
252
12
0
10 Sep 2024
Data-Driven Model Selections of Second-Order Particle Dynamics via
  Integrating Gaussian Processes with Low-Dimensional Interacting Structures
Data-Driven Model Selections of Second-Order Particle Dynamics via Integrating Gaussian Processes with Low-Dimensional Interacting Structures
Jinchao Feng
Charles Kulick
Sui Tang
368
6
0
01 Nov 2023
Learning Collective Behaviors from Observation
Learning Collective Behaviors from Observation
Jinchao Feng
Ming Zhong
351
3
0
01 Nov 2023
Direct Estimation of Parameters in ODE Models Using WENDy: Weak-form
  Estimation of Nonlinear Dynamics
Direct Estimation of Parameters in ODE Models Using WENDy: Weak-form Estimation of Nonlinear DynamicsBulletin of Mathematical Biology (Bull. Math. Biol.), 2023
David M. Bortz
Daniel Messenger
Vanja M. Dukic
268
30
0
26 Feb 2023
PAGP: A physics-assisted Gaussian process framework with active learning
  for forward and inverse problems of partial differential equations
PAGP: A physics-assisted Gaussian process framework with active learning for forward and inverse problems of partial differential equations
Jiahao Zhang
Shiqi Zhang
Guang Lin
202
3
0
06 Apr 2022
Active Learning for Saddle Point Calculation
Active Learning for Saddle Point CalculationJournal of Scientific Computing (J. Sci. Comput.), 2021
Shuting Gu
Hongqiao Wang
Xiaoping Zhou
132
6
0
10 Aug 2021
Learning particle swarming models from data with Gaussian processes
Learning particle swarming models from data with Gaussian processesMathematics of Computation (Math. Comp.), 2021
Jinchao Feng
Charles Kulick
Yunxiang Ren
Sui Tang
384
9
0
04 Jun 2021
Inferring the unknown parameters in Differential Equation by Gaussian
  Process Regression with Constraint
Inferring the unknown parameters in Differential Equation by Gaussian Process Regression with ConstraintComputational and Applied Mathematics (CAM), 2020
Ying Zhou
Hongqiao Wang
79
5
0
22 Nov 2020
1
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