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Multi-Objective Loss Balancing for Physics-Informed Deep Learning

Multi-Objective Loss Balancing for Physics-Informed Deep Learning

19 October 2021
Rafael Bischof
M. Kraus
    PINN
    AI4CE
ArXivPDFHTML

Papers citing "Multi-Objective Loss Balancing for Physics-Informed Deep Learning"

38 / 38 papers shown
Title
Physics Informed Constrained Learning of Dynamics from Static Data
Physics Informed Constrained Learning of Dynamics from Static Data
Pengtao Dang
Tingbo Guo
Melissa Fishel
Guang Lin
Wenzhuo Wu
Sha Cao
Chi Zhang
PINN
AI4CE
49
0
0
17 Apr 2025
Enabling Automatic Differentiation with Mollified Graph Neural Operators
Enabling Automatic Differentiation with Mollified Graph Neural Operators
Ryan Y. Lin
Julius Berner
Valentin Duruisseaux
David Pitt
Daniel Leibovici
Jean Kossaifi
Kamyar Azizzadenesheli
Anima Anandkumar
AI4CE
36
0
0
11 Apr 2025
PINNverse: Accurate parameter estimation in differential equations from noisy data with constrained physics-informed neural networks
PINNverse: Accurate parameter estimation in differential equations from noisy data with constrained physics-informed neural networks
Marius Almanstötter
Roman Vetter
Dagmar Iber
PINN
27
1
0
07 Apr 2025
Expert-elicitation method for non-parametric joint priors using normalizing flows
Expert-elicitation method for non-parametric joint priors using normalizing flows
F. Bockting
Stefan T. Radev
Paul-Christian Burkner
BDL
88
1
0
24 Nov 2024
Beyond Derivative Pathology of PINNs: Variable Splitting Strategy with
  Convergence Analysis
Beyond Derivative Pathology of PINNs: Variable Splitting Strategy with Convergence Analysis
Yesom Park
Changhoon Song
Myungjoo Kang
21
2
0
30 Sep 2024
Domain-decoupled Physics-informed Neural Networks with Closed-form
  Gradients for Fast Model Learning of Dynamical Systems
Domain-decoupled Physics-informed Neural Networks with Closed-form Gradients for Fast Model Learning of Dynamical Systems
Henrik Krauss
Tim-Lukas Habich
Max Bartholdt
Thomas Seel
Moritz Schappler
PINN
AI4CE
27
2
0
27 Aug 2024
Adaptive Training of Grid-Dependent Physics-Informed Kolmogorov-Arnold
  Networks
Adaptive Training of Grid-Dependent Physics-Informed Kolmogorov-Arnold Networks
Spyros Rigas
M. Papachristou
Theofilos Papadopoulos
Fotios Anagnostopoulos
Georgios Alexandridis
AI4CE
34
21
0
24 Jul 2024
Spatio-temporal Attention-based Hidden Physics-informed Neural Network
  for Remaining Useful Life Prediction
Spatio-temporal Attention-based Hidden Physics-informed Neural Network for Remaining Useful Life Prediction
Feilong Jiang
Xiaonan Hou
Min Xia
19
1
0
20 May 2024
Discovering Physics-Informed Neural Networks Model for Solving Partial
  Differential Equations through Evolutionary Computation
Discovering Physics-Informed Neural Networks Model for Solving Partial Differential Equations through Evolutionary Computation
Bo Zhang
Chao Yang
PINN
22
3
0
18 May 2024
Physics-Guided Neural Networks for Intraventricular Vector Flow Mapping
Physics-Guided Neural Networks for Intraventricular Vector Flow Mapping
Han Ling
Salomé Bru
Julia Puig
F. Vixège
Simon Mendez
Franck Nicoud
P. Courand
Olivier Bernard
Damien Garcia
42
6
0
19 Mar 2024
Thermal Earth Model for the Conterminous United States Using an
  Interpolative Physics-Informed Graph Neural Network (InterPIGNN)
Thermal Earth Model for the Conterminous United States Using an Interpolative Physics-Informed Graph Neural Network (InterPIGNN)
M. Aljubran
Roland N. Horne
AI4CE
34
8
0
15 Mar 2024
Physics-informed MeshGraphNets (PI-MGNs): Neural finite element solvers
  for non-stationary and nonlinear simulations on arbitrary meshes
Physics-informed MeshGraphNets (PI-MGNs): Neural finite element solvers for non-stationary and nonlinear simulations on arbitrary meshes
Tobias Würth
Niklas Freymuth
C. Zimmerling
Gerhard Neumann
Luise Kärger
AI4CE
19
1
0
16 Feb 2024
Architectural Strategies for the optimization of Physics-Informed Neural
  Networks
Architectural Strategies for the optimization of Physics-Informed Neural Networks
Hemanth Saratchandran
Shin-Fang Chng
Simon Lucey
AI4CE
23
0
0
05 Feb 2024
An Operator Learning Framework for Spatiotemporal Super-resolution of
  Scientific Simulations
An Operator Learning Framework for Spatiotemporal Super-resolution of Scientific Simulations
Valentin Duruisseaux
Amit Chakraborty
AI4CE
11
1
0
04 Nov 2023
Exact and soft boundary conditions in Physics-Informed Neural Networks
  for the Variable Coefficient Poisson equation
Exact and soft boundary conditions in Physics-Informed Neural Networks for the Variable Coefficient Poisson equation
Sebastian Barschkis
13
1
0
04 Oct 2023
On Training Derivative-Constrained Neural Networks
On Training Derivative-Constrained Neural Networks
KaiChieh Lo
Daniel Huang
11
3
0
02 Oct 2023
Physics-informed neural networks modeling for systems with moving
  immersed boundaries: application to an unsteady flow past a plunging foil
Physics-informed neural networks modeling for systems with moving immersed boundaries: application to an unsteady flow past a plunging foil
Rahul Sundar
Dipanjan Majumdar
Didier Lucor
Sunetra Sarkar
PINN
AI4CE
25
6
0
23 Jun 2023
Learning CO$_2$ plume migration in faulted reservoirs with Graph Neural
  Networks
Learning CO2_22​ plume migration in faulted reservoirs with Graph Neural Networks
X. Ju
Franccois P. Hamon
Gege Wen
Rayan Kanfar
Mauricio Araya-Polo
H. Tchelepi
AI4CE
16
1
0
16 Jun 2023
PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks
  for Solving PDEs
PINNacle: A Comprehensive Benchmark of Physics-Informed Neural Networks for Solving PDEs
Zhongkai Hao
J. Yao
Chang Su
Hang Su
Ziao Wang
...
Zeyu Xia
Yichi Zhang
Songming Liu
Lu Lu
Jun Zhu
PINN
20
29
0
15 Jun 2023
NSGA-PINN: A Multi-Objective Optimization Method for Physics-Informed
  Neural Network Training
NSGA-PINN: A Multi-Objective Optimization Method for Physics-Informed Neural Network Training
B.-L. Lu
Christian Moya
Guang Lin
PINN
20
11
0
03 Mar 2023
Mixed formulation of physics-informed neural networks for
  thermo-mechanically coupled systems and heterogeneous domains
Mixed formulation of physics-informed neural networks for thermo-mechanically coupled systems and heterogeneous domains
Ali Harandi
Ahmad Moeineddin
Michael Kaliske
Stefanie Reese
Shahed Rezaei
AI4CE
PINN
18
42
0
09 Feb 2023
Failure-informed adaptive sampling for PINNs, Part II: combining with
  re-sampling and subset simulation
Failure-informed adaptive sampling for PINNs, Part II: combining with re-sampling and subset simulation
Zhi-Hao Gao
Tao Tang
Liang Yan
Tao Zhou
17
18
0
03 Feb 2023
LSA-PINN: Linear Boundary Connectivity Loss for Solving PDEs on Complex
  Geometry
LSA-PINN: Linear Boundary Connectivity Loss for Solving PDEs on Complex Geometry
Jian Cheng Wong
P. Chiu
C. Ooi
M. Dao
Yew-Soon Ong
AI4CE
PINN
13
10
0
03 Feb 2023
Deep learning for full-field ultrasonic characterization
Deep learning for full-field ultrasonic characterization
Yang Xu
Fatemeh Pourahmadian
Jian Song
Congli Wang
AI4CE
16
4
0
06 Jan 2023
Deep Learning and Computational Physics (Lecture Notes)
Deep Learning and Computational Physics (Lecture Notes)
Deep Ray
Orazio Pinti
Assad A. Oberai
PINN
AI4CE
17
7
0
03 Jan 2023
Physics-Informed Neural Networks for Prognostics and Health Management
  of Lithium-Ion Batteries
Physics-Informed Neural Networks for Prognostics and Health Management of Lithium-Ion Batteries
Pengfei Wen
Z. Ye
Yong Li
Shaowei Chen
Pu Xie
Shuai Zhao
14
35
0
02 Jan 2023
VI-PINNs: Variance-involved Physics-informed Neural Networks for Fast
  and Accurate Prediction of Partial Differential Equations
VI-PINNs: Variance-involved Physics-informed Neural Networks for Fast and Accurate Prediction of Partial Differential Equations
Bin Shan
Ye Li
Sheng-Jun Huang
PINN
16
2
0
30 Nov 2022
A Dimension-Augmented Physics-Informed Neural Network (DaPINN) with High
  Level Accuracy and Efficiency
A Dimension-Augmented Physics-Informed Neural Network (DaPINN) with High Level Accuracy and Efficiency
Weilong Guan
Kai-Ping Yang
Yinsheng Chen
Zhong Guan
PINN
AI4CE
6
12
0
19 Oct 2022
Failure-informed adaptive sampling for PINNs
Failure-informed adaptive sampling for PINNs
Zhiwei Gao
Liang Yan
Tao Zhou
16
76
0
01 Oct 2022
Stochastic Scaling in Loss Functions for Physics-Informed Neural
  Networks
Stochastic Scaling in Loss Functions for Physics-Informed Neural Networks
Ethan A Mills
Alexey Pozdnyakov
11
0
0
07 Aug 2022
Adaptive Self-supervision Algorithms for Physics-informed Neural
  Networks
Adaptive Self-supervision Algorithms for Physics-informed Neural Networks
Shashank Subramanian
Robert M. Kirby
Michael W. Mahoney
A. Gholami
14
25
0
08 Jul 2022
PhySRNet: Physics informed super-resolution network for application in
  computational solid mechanics
PhySRNet: Physics informed super-resolution network for application in computational solid mechanics
Rajat Arora
AI4CE
18
10
0
30 Jun 2022
Characterizing and Mitigating the Difficulty in Training
  Physics-informed Artificial Neural Networks under Pointwise Constraints
Characterizing and Mitigating the Difficulty in Training Physics-informed Artificial Neural Networks under Pointwise Constraints
S. Basir
Inanc Senocak
AI4CE
15
1
0
19 Jun 2022
Enhanced Physics-Informed Neural Networks with Augmented Lagrangian
  Relaxation Method (AL-PINNs)
Enhanced Physics-Informed Neural Networks with Augmented Lagrangian Relaxation Method (AL-PINNs)
Hwijae Son
S. Cho
H. Hwang
PINN
17
41
0
29 Apr 2022
Parallel Physics-Informed Neural Networks via Domain Decomposition
Parallel Physics-Informed Neural Networks via Domain Decomposition
K. Shukla
Ameya Dilip Jagtap
George Karniadakis
PINN
98
272
0
20 Apr 2021
hp-VPINNs: Variational Physics-Informed Neural Networks With Domain
  Decomposition
hp-VPINNs: Variational Physics-Informed Neural Networks With Domain Decomposition
E. Kharazmi
Zhongqiang Zhang
George Karniadakis
117
506
0
11 Mar 2020
Probabilistic Model-Agnostic Meta-Learning
Probabilistic Model-Agnostic Meta-Learning
Chelsea Finn
Kelvin Xu
Sergey Levine
BDL
165
666
0
07 Jun 2018
Model-Agnostic Meta-Learning for Fast Adaptation of Deep Networks
Model-Agnostic Meta-Learning for Fast Adaptation of Deep Networks
Chelsea Finn
Pieter Abbeel
Sergey Levine
OOD
243
11,659
0
09 Mar 2017
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