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NeuralUQ: A comprehensive library for uncertainty quantification in
  neural differential equations and operators

NeuralUQ: A comprehensive library for uncertainty quantification in neural differential equations and operators

25 August 2022
Zongren Zou
Xuhui Meng
Apostolos F. Psaros
George Karniadakis
    AI4CE
ArXivPDFHTML

Papers citing "NeuralUQ: A comprehensive library for uncertainty quantification in neural differential equations and operators"

30 / 30 papers shown
Title
Scalable physics-informed deep generative model for solving forward and inverse stochastic differential equations
Scalable physics-informed deep generative model for solving forward and inverse stochastic differential equations
Shaoqian Zhou
Wen You
Ling Guo
Xuhui Meng
DiffM
MedIm
51
0
0
23 Mar 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
65
2
0
08 Mar 2025
Physics-informed deep learning for infectious disease forecasting
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
76
2
0
16 Jan 2025
Towards certifiable AI in aviation: landscape, challenges, and
  opportunities
Towards certifiable AI in aviation: landscape, challenges, and opportunities
Hymalai Bello
Daniel Geißler
L. Ray
Stefan Muller-Divéky
Peter Muller
Shannon Kittrell
Mengxi Liu
Bo Zhou
Paul Lukowicz
27
1
0
13 Sep 2024
Quantification of total uncertainty in the physics-informed
  reconstruction of CVSim-6 physiology
Quantification of total uncertainty in the physics-informed reconstruction of CVSim-6 physiology
Mario De Florio
Zongren Zou
Daniele E. Schiavazzi
George Karniadakis
24
3
0
13 Aug 2024
Linearization Turns Neural Operators into Function-Valued Gaussian Processes
Linearization Turns Neural Operators into Function-Valued Gaussian Processes
Emilia Magnani
Marvin Pfortner
Tobias Weber
Philipp Hennig
UQCV
55
1
0
07 Jun 2024
Large scale scattering using fast solvers based on neural operators
Large scale scattering using fast solvers based on neural operators
Zongren Zou
Adar Kahana
Enrui Zhang
Eli Turkel
Rishikesh Ranade
Jay Pathak
George Karniadakis
23
1
0
20 May 2024
Leveraging viscous Hamilton-Jacobi PDEs for uncertainty quantification
  in scientific machine learning
Leveraging viscous Hamilton-Jacobi PDEs for uncertainty quantification in scientific machine learning
Zongren Zou
Tingwei Meng
Paula Chen
Jérome Darbon
George Karniadakis
22
7
0
12 Apr 2024
Conformalized-DeepONet: A Distribution-Free Framework for Uncertainty
  Quantification in Deep Operator Networks
Conformalized-DeepONet: A Distribution-Free Framework for Uncertainty Quantification in Deep Operator Networks
Christian Moya
Amirhossein Mollaali
Zecheng Zhang
Lu Lu
Guang Lin
UQCV
47
17
0
23 Feb 2024
Uncertainty quantification for noisy inputs-outputs in physics-informed
  neural networks and neural operators
Uncertainty quantification for noisy inputs-outputs in physics-informed neural networks and neural operators
Zongren Zou
Xuhui Meng
George Karniadakis
AI4CE
17
19
0
19 Nov 2023
Evaluating Uncertainty Quantification approaches for Neural PDEs in
  scientific applications
Evaluating Uncertainty Quantification approaches for Neural PDEs in scientific applications
Vardhan Dongre
G. S. Hora
UQCV
AI4CE
11
0
0
08 Nov 2023
PICProp: Physics-Informed Confidence Propagation for Uncertainty
  Quantification
PICProp: Physics-Informed Confidence Propagation for Uncertainty Quantification
Qianli Shen
Wai Hoh Tang
Zhun Deng
Apostolos F. Psaros
Kenji Kawaguchi
23
1
0
10 Oct 2023
Artificial to Spiking Neural Networks Conversion for Scientific Machine
  Learning
Artificial to Spiking Neural Networks Conversion for Scientific Machine Learning
Qian Zhang
Chen-Chun Wu
Adar Kahana
Youngeun Kim
Yuhang Li
George Karniadakis
Priyadarshini Panda
14
9
0
31 Aug 2023
Discovering a reaction-diffusion model for Alzheimer's disease by
  combining PINNs with symbolic regression
Discovering a reaction-diffusion model for Alzheimer's disease by combining PINNs with symbolic regression
Zhen Zhang
Zongren Zou
E. Kuhl
George Karniadakis
13
41
0
16 Jul 2023
Evaluation of machine learning architectures on the quantification of
  epistemic and aleatoric uncertainties in complex dynamical systems
Evaluation of machine learning architectures on the quantification of epistemic and aleatoric uncertainties in complex dynamical systems
Stephen Guth
A. Mojahed
T. Sapsis
AI4CE
10
2
0
27 Jun 2023
UQpy v4.1: Uncertainty Quantification with Python
UQpy v4.1: Uncertainty Quantification with Python
Dimitrios Tsapetis
Michael D. Shields
Dimitris G. Giovanis
Audrey Olivier
Lukás Novák
...
Mohit Chauhan
Katiana Kontolati
Lohit Vandanapu
Dimitrios Loukrezis
Michael Gardner
GP
14
11
0
16 May 2023
A Generative Modeling Framework for Inferring Families of Biomechanical
  Constitutive Laws in Data-Sparse Regimes
A Generative Modeling Framework for Inferring Families of Biomechanical Constitutive Laws in Data-Sparse Regimes
Minglang Yin
Zongren Zou
Enrui Zhang
C. Cavinato
J. Humphrey
George Karniadakis
SyDa
MedIm
AI4CE
37
11
0
04 May 2023
Leveraging Multi-time Hamilton-Jacobi PDEs for Certain Scientific
  Machine Learning Problems
Leveraging Multi-time Hamilton-Jacobi PDEs for Certain Scientific Machine Learning Problems
Paula Chen
Tingwei Meng
Zongren Zou
Jérome Darbon
George Karniadakis
AI4CE
20
5
0
22 Mar 2023
Efficient Bayesian Physics Informed Neural Networks for Inverse Problems
  via Ensemble Kalman Inversion
Efficient Bayesian Physics Informed Neural Networks for Inverse Problems via Ensemble Kalman Inversion
Andrew Pensoneault
Xueyu Zhu
PINN
11
5
0
13 Mar 2023
IB-UQ: Information bottleneck based uncertainty quantification for
  neural function regression and neural operator learning
IB-UQ: Information bottleneck based uncertainty quantification for neural function regression and neural operator learning
Ling Guo
Hao Wu
Wenwen Zhou
Yan Wang
Tao Zhou
UQCV
11
11
0
07 Feb 2023
Deep neural operators can serve as accurate surrogates for shape
  optimization: A case study for airfoils
Deep neural operators can serve as accurate surrogates for shape optimization: A case study for airfoils
K. Shukla
Vivek Oommen
Ahmad Peyvan
Michael Penwarden
L. Bravo
A. Ghoshal
Robert M. Kirby
George Karniadakis
20
19
0
02 Feb 2023
L-HYDRA: Multi-Head Physics-Informed Neural Networks
L-HYDRA: Multi-Head Physics-Informed Neural Networks
Zongren Zou
George Karniadakis
AI4CE
11
26
0
05 Jan 2023
Error-Aware B-PINNs: Improving Uncertainty Quantification in Bayesian
  Physics-Informed Neural Networks
Error-Aware B-PINNs: Improving Uncertainty Quantification in Bayesian Physics-Informed Neural Networks
Olga Graf
P. Flores
P. Protopapas
K. Pichara
PINN
19
6
0
14 Dec 2022
Physics-informed neural networks for operator equations with stochastic
  data
Physics-informed neural networks for operator equations with stochastic data
Paul Escapil-Inchauspé
G. A. Ruz
8
2
0
15 Nov 2022
Uncertainty Toolbox: an Open-Source Library for Assessing, Visualizing,
  and Improving Uncertainty Quantification
Uncertainty Toolbox: an Open-Source Library for Assessing, Visualizing, and Improving Uncertainty Quantification
Youngseog Chung
I. Char
Han Guo
J. Schneider
W. Neiswanger
30
70
0
21 Sep 2021
NVIDIA SimNet^{TM}: an AI-accelerated multi-physics simulation framework
NVIDIA SimNet^{TM}: an AI-accelerated multi-physics simulation framework
O. Hennigh
S. Narasimhan
M. A. Nabian
Akshay Subramaniam
Kaustubh Tangsali
M. Rietmann
J. Ferrandis
Wonmin Byeon
Z. Fang
S. Choudhry
PINN
AI4CE
91
125
0
14 Dec 2020
B-PINNs: Bayesian Physics-Informed Neural Networks for Forward and
  Inverse PDE Problems with Noisy Data
B-PINNs: Bayesian Physics-Informed Neural Networks for Forward and Inverse PDE Problems with Noisy Data
Liu Yang
Xuhui Meng
George Karniadakis
PINN
170
755
0
13 Mar 2020
Integrating Scientific Knowledge with Machine Learning for Engineering
  and Environmental Systems
Integrating Scientific Knowledge with Machine Learning for Engineering and Environmental Systems
J. Willard
X. Jia
Shaoming Xu
M. Steinbach
Vipin Kumar
AI4CE
80
385
0
10 Mar 2020
Simple and Scalable Predictive Uncertainty Estimation using Deep
  Ensembles
Simple and Scalable Predictive Uncertainty Estimation using Deep Ensembles
Balaji Lakshminarayanan
Alexander Pritzel
Charles Blundell
UQCV
BDL
268
5,635
0
05 Dec 2016
Dropout as a Bayesian Approximation: Representing Model Uncertainty in
  Deep Learning
Dropout as a Bayesian Approximation: Representing Model Uncertainty in Deep Learning
Y. Gal
Zoubin Ghahramani
UQCV
BDL
247
9,042
0
06 Jun 2015
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