B-PINNs: Bayesian Physics-Informed Neural Networks for Forward and Inverse PDE Problems with Noisy Data

13 March 2020

Papers citing "B-PINNs: Bayesian Physics-Informed Neural Networks for Forward and Inverse PDE Problems with Noisy Data"

50 / 75 papers shown

Title
Computational, Data-Driven, and Physics-Informed Machine Learning Approaches for Microstructure Modeling in Metal Additive Manufacturing D. Patel R. Sharma Y.B. Guo AI4CE PINN 30 0 0 02 May 2025
Perception-Informed Neural Networks: Beyond Physics-Informed Neural Networks Mehran Mazandarani Marzieh Najariyan PINN AI4CE 30 0 0 02 May 2025
RINN: One Sample Radio Frequency Imaging based on Physics Informed Neural Network Fei Shang Haohua Du Dawei Yan Panlong Yang X. Li 38 0 0 19 Apr 2025
Learning and discovering multiple solutions using physics-informed neural networks with random initialization and deep ensemble Zongren Zou Zhicheng Wang George Karniadakis PINN AI4CE 67 2 0 08 Mar 2025
Physics-informed deep learning for infectious disease forecasting Y. Qian Éric Marty Avranil Basu Avranil Basu Eamon B. O'Dea Xianqiao Wang Spencer Fox Pejman Rohani John M. Drake He Li PINN AI4CE 80 2 0 16 Jan 2025
A physics-informed transformer neural operator for learning generalized solutions of initial boundary value problems Sumanth Kumar Boya Deepak Subramani AI4CE 94 0 0 12 Dec 2024
Physics-informed neural networks viewpoint for solving the Dyson-Schwinger equations of quantum electrodynamics Rodrigo Carmo Terin PINN 59 1 0 04 Nov 2024
Enhanced physics-informed neural networks (PINNs) for high-order power grid dynamics Vineet Jagadeesan Nair PINN 38 0 0 10 Oct 2024
Robust Weight Initialization for Tanh Neural Networks with Fixed Point Analysis Hyunwoo Lee Hayoung Choi Hyunju Kim 39 1 0 03 Oct 2024
Scientific Machine Learning Seismology Tomohisa Okazaki PINN AI4CE 48 0 0 27 Sep 2024
Enhanced BPINN Training Convergence in Solving General and Multi-scale Elliptic PDEs with Noise Yilong Hou Xi’an Li Jinran Wu You-Gan Wang 61 1 0 18 Aug 2024
Solving the Inverse Problem of Electrocardiography for Cardiac Digital Twins: A Survey Lei Li J. Camps Blanca Rodriguez Vicente Grau SyDa 38 2 0 17 Jun 2024
Initialization-enhanced Physics-Informed Neural Network with Domain Decomposition (IDPINN) Chenhao Si Ming Yan AI4CE PINN 33 3 0 05 Jun 2024
The Challenges of the Nonlinear Regime for Physics-Informed Neural Networks Andrea Bonfanti Giuseppe Bruno Cristina Cipriani 24 7 0 06 Feb 2024
Mechanical Characterization and Inverse Design of Stochastic Architected Metamaterials Using Neural Operators Hanxun Jin Enrui Zhang Boyu Zhang Sridhar Krishnaswamy George Karniadakis Horacio D. Espinosa AI4CE 24 4 0 23 Nov 2023
Hypernetwork-based Meta-Learning for Low-Rank Physics-Informed Neural Networks Woojin Cho Kookjin Lee Donsub Rim Noseong Park AI4CE PINN 18 16 0 14 Oct 2023
Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology Qingsong Xu Yilei Shi Jonathan Bamber Ye Tuo Ralf Ludwig Xiao Xiang Zhu AI4CE 20 9 0 08 Oct 2023
Physics-Informed Machine Learning of Argon Gas-Driven Melt Pool Dynamics Rahul Sharma Y.B. Guo M. Raissi W. Guo PINN AI4CE 37 5 0 23 Jul 2023
PI-VEGAN: Physics Informed Variational Embedding Generative Adversarial Networks for Stochastic Differential Equations R. Gao Yufeng Wang Min Yang Chuanjun Chen GAN 28 2 0 21 Jul 2023
Characterization of partial wetting by CMAS droplets using multiphase many-body dissipative particle dynamics and data-driven discovery based on PINNs Elham Kiyani M. Kooshkbaghi K. Shukla R. Koneru Zhen Li L. Bravo A. Ghoshal George Karniadakis M. Karttunen AI4CE 37 4 0 18 Jul 2023
ParticleWNN: a Novel Neural Networks Framework for Solving Partial Differential Equations Yaohua Zang Gang Bao 24 4 0 21 May 2023
A Bi-fidelity DeepONet Approach for Modeling Uncertain and Degrading Hysteretic Systems Subhayan De P. Brewick 24 0 0 25 Apr 2023
Constraining Chaos: Enforcing dynamical invariants in the training of recurrent neural networks Jason A. Platt S. Penny T. A. Smith Tse-Chun Chen H. Abarbanel AI4TS 28 5 0 24 Apr 2023
$Laplace-fPINNs: Laplace-based fractional physics-informed neural networks for solving forward and inverse problems of subdiffusion$ Laplace-fPINNs: Laplace-based fractional physics-informed neural networks for solving forward and inverse problems of subdiffusion Xiongbin Yan Zhi-Qin John Xu Zheng Ma 24 2 0 03 Apr 2023
Error convergence and engineering-guided hyperparameter search of PINNs: towards optimized I-FENN performance Panos Pantidis Habiba Eldababy Christopher Miguel Tagle M. Mobasher 27 20 0 03 Mar 2023
PINN Training using Biobjective Optimization: The Trade-off between Data Loss and Residual Loss Fabian Heldmann Sarah Treibert Matthias Ehrhardt K. Klamroth 30 20 0 03 Feb 2023
Temporal Consistency Loss for Physics-Informed Neural Networks Sukirt Thakur M. Raissi H. Mitra A. Ardekani PINN 19 10 0 30 Jan 2023
Physics-informed Information Field Theory for Modeling Physical Systems with Uncertainty Quantification A. Alberts Ilias Bilionis 32 12 0 18 Jan 2023
Convergence Analysis for Training Stochastic Neural Networks via Stochastic Gradient Descent Richard Archibald F. Bao Yanzhao Cao Hui‐Jie Sun 38 2 0 17 Dec 2022
Error-Aware B-PINNs: Improving Uncertainty Quantification in Bayesian Physics-Informed Neural Networks Olga Graf P. Flores P. Protopapas K. Pichara PINN 30 6 0 14 Dec 2022
Physics-informed Neural Networks with Unknown Measurement Noise Philipp Pilar Niklas Wahlström PINN 18 6 0 28 Nov 2022
Utilising physics-guided deep learning to overcome data scarcity Jinshuai Bai Laith Alzubaidi Qingxia Wang E. Kuhl Bennamoun Yuantong T. Gu PINN AI4CE 26 3 0 24 Nov 2022
Robustness of Physics-Informed Neural Networks to Noise in Sensor Data Jian Cheng Wong P. Chiu C. Ooi My Ha Da 27 3 0 22 Nov 2022
Physics-Informed Koopman Network Yuying Liu A. Sholokhov Hassan Mansour S. Nabi AI4CE 23 3 0 17 Nov 2022
Physics-informed neural networks for operator equations with stochastic data Paul Escapil-Inchauspé G. A. Ruz 24 2 0 15 Nov 2022
Gradient-enhanced deep neural network approximations Xiaodong Feng Li Zeng UQCV 26 5 0 08 Nov 2022
Tunable Complexity Benchmarks for Evaluating Physics-Informed Neural Networks on Coupled Ordinary Differential Equations Alexander New B. Eng A. Timm A. Gearhart 14 4 0 14 Oct 2022
W-Transformers : A Wavelet-based Transformer Framework for Univariate Time Series Forecasting Zakaria Elabid Tanujit Chakraborty Abdenour Hadid AI4TS 32 20 0 08 Sep 2022
NeuralUQ: A comprehensive library for uncertainty quantification in neural differential equations and operators Zongren Zou Xuhui Meng Apostolos F. Psaros George Karniadakis AI4CE 25 35 0 25 Aug 2022
Semi-analytic PINN methods for singularly perturbed boundary value problems G. Gie Youngjoon Hong Chang-Yeol Jung PINN 8 5 0 19 Aug 2022
CP-PINNs: Data-Driven Changepoints Detection in PDEs Using Online Optimized Physics-Informed Neural Networks Zhi-Ling Dong Pawel Polak PINN 19 1 0 18 Aug 2022
Unsupervised Legendre-Galerkin Neural Network for Singularly Perturbed Partial Differential Equations Junho Choi N. Kim Youngjoon Hong AI4CE 24 0 0 21 Jul 2022
Laplace HypoPINN: Physics-Informed Neural Network for hypocenter localization and its predictive uncertainty M. Izzatullah I. Yildirim U. Waheed T. Alkhalifah 31 16 0 28 May 2022
Revisiting PINNs: Generative Adversarial Physics-informed Neural Networks and Point-weighting Method Wensheng Li Chao Zhang Chuncheng Wang Hanting Guan Dacheng Tao DiffM PINN 14 12 0 18 May 2022
Loss Landscape Engineering via Data Regulation on PINNs Vignesh Gopakumar Stanislas Pamela D. Samaddar PINN 30 16 0 16 May 2022
Bayesian Physics-Informed Extreme Learning Machine for Forward and Inverse PDE Problems with Noisy Data Xu Liu Wenjuan Yao Wei Peng Weien Zhou PINN AI4CE 41 25 0 14 May 2022
Bayesian Physics-Informed Neural Networks for real-world nonlinear dynamical systems K. Linka Amelie Schäfer Xuhui Meng Zongren Zou George Karniadakis E. Kuhl OOD PINN AI4CE 30 109 0 12 May 2022
A Review of Machine Learning Methods Applied to Structural Dynamics and Vibroacoustic Barbara Z Cunha C. Droz A. Zine Stéphane Foulard M. Ichchou AI4CE 27 84 0 13 Apr 2022
Deep surrogate accelerated delayed-acceptance HMC for Bayesian inference of spatio-temporal heat fluxes in rotating disc systems Teo Deveney E. Mueller T. Shardlow AI4CE 19 0 0 05 Apr 2022
Bi-fidelity Modeling of Uncertain and Partially Unknown Systems using DeepONets Subhayan De Matthew J. Reynolds M. Hassanaly Ryan N. King Alireza Doostan AI4CE 23 37 0 03 Apr 2022