Paris Perdikaris

Orcid: 0000-0002-2816-3229

Affiliations:
  • University of Pennsylvania, Department of Mechanical Engineering and Applied Mechanics, Philadelphia, USA


According to our database1, Paris Perdikaris authored at least 67 papers between 2016 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Learning Only on Boundaries: A Physics-Informed Neural Operator for Solving Parametric Partial Differential Equations in Complex Geometries.
Neural Comput., March, 2024

Δ-PINNs: Physics-informed neural networks on complex geometries.
Eng. Appl. Artif. Intell., January, 2024

On conditional diffusion models for PDE simulations.
CoRR, 2024

Score Neural Operator: A Generative Model for Learning and Generalizing Across Multiple Probability Distributions.
CoRR, 2024

Micrometer: Micromechanics Transformer for Predicting Mechanical Responses of Heterogeneous Materials.
CoRR, 2024

Deep Learning Alternatives of the Kolmogorov Superposition Theorem.
CoRR, 2024

Disk2Planet: A Robust and Automated Machine Learning Tool for Parameter Inference in Disk-Planet Systems.
CoRR, 2024

Physics-Informed Neural Networks and Extensions.
CoRR, 2024

Bridging Operator Learning and Conditioned Neural Fields: A Unifying Perspective.
CoRR, 2024

Aurora: A Foundation Model of the Atmosphere.
CoRR, 2024

Composite Bayesian Optimization In Function Spaces Using NEON - Neural Epistemic Operator Networks.
CoRR, 2024

PirateNets: Physics-informed Deep Learning with Residual Adaptive Networks.
CoRR, 2024

2023
Long-time integration of parametric evolution equations with physics-informed DeepONets.
J. Comput. Phys., February, 2023

An Expert's Guide to Training Physics-informed Neural Networks.
CoRR, 2023

PPDONet: Deep Operator Networks for Fast Prediction of Steady-State Solutions in Disk-Planet Systems.
CoRR, 2023

Ensemble learning for Physics Informed Neural Networks: a Gradient Boosting approach.
CoRR, 2023

Scalable Bayesian optimization with high-dimensional outputs using randomized prior networks.
CoRR, 2023

PDE-Refiner: Achieving Accurate Long Rollouts with Neural PDE Solvers.
Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

Variational Autoencoding Neural Operators.
Proceedings of the International Conference on Machine Learning, 2023

Mitigating Propagation Failures in Physics-informed Neural Networks using Retain-Resample-Release (R3) Sampling.
Proceedings of the International Conference on Machine Learning, 2023

2022
Improved Architectures and Training Algorithms for Deep Operator Networks.
J. Sci. Comput., 2022

Learning Operators with Coupled Attention.
J. Mach. Learn. Res., 2022

When and why PINNs fail to train: A neural tangent kernel perspective.
J. Comput. Phys., 2022

Physics-informed neural networks to learn cardiac fiber orientation from multiple electroanatomical maps.
Eng. Comput., 2022

Random Weight Factorization Improves the Training of Continuous Neural Representations.
CoRR, 2022

Semi-supervised Invertible DeepONets for Bayesian Inverse Problems.
CoRR, 2022

Rethinking the Importance of Sampling in Physics-informed Neural Networks.
CoRR, 2022

Respecting causality is all you need for training physics-informed neural networks.
CoRR, 2022

Learning cardiac activation maps from 12-lead ECG with multi-fidelity Bayesian optimization on manifolds.
CoRR, 2022

Scalable Uncertainty Quantification for Deep Operator Networks using Randomized Priors.
CoRR, 2022

NOMAD: Nonlinear Manifold Decoders for Operator Learning.
Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

Gaussian Process Port-Hamiltonian Systems: Bayesian Learning with Physics Prior.
Proceedings of the 61st IEEE Conference on Decision and Control, 2022

2021
Understanding and Mitigating Gradient Flow Pathologies in Physics-Informed Neural Networks.
SIAM J. Sci. Comput., 2021

Deep learning of free boundary and Stefan problems.
J. Comput. Phys., 2021

Fast characterization of inducible regions of atrial fibrillation models with multi-fidelity Gaussian process classification.
CoRR, 2021

Fast PDE-constrained optimization via self-supervised operator learning.
CoRR, 2021

Learning the solution operator of parametric partial differential equations with physics-informed DeepOnets.
CoRR, 2021

Gaussian processes meet NeuralODEs: A Bayesian framework for learning the dynamics of partially observed systems from scarce and noisy data.
CoRR, 2021

Output-Weighted Sampling for Multi-Armed Bandits with Extreme Payoffs.
CoRR, 2021

Physics-Guided AI for Large-Scale Spatiotemporal Data.
Proceedings of the KDD '21: The 27th ACM SIGKDD Conference on Knowledge Discovery and Data Mining, 2021

Learning Atrial Fiber Orientations and Conductivity Tensors from Intracardiac Maps Using Physics-Informed Neural Networks.
Proceedings of the Functional Imaging and Modeling of the Heart, 2021

2020
On the eigenvector bias of Fourier feature networks: From regression to solving multi-scale PDEs with physics-informed neural networks.
CoRR, 2020

Learning Unknown Physics of non-Newtonian Fluids.
CoRR, 2020

Bayesian differential programming for robust systems identification under uncertainty.
CoRR, 2020

Exact artificial boundary conditions of 1D semi-discretized peridynamics.
CoRR, 2020

Understanding and mitigating gradient pathologies in physics-informed neural networks.
CoRR, 2020

2019
Machine Learning of Space-Fractional Differential Equations.
SIAM J. Sci. Comput., 2019

Integrating machine learning and multiscale modeling - perspectives, challenges, and opportunities in the biological, biomedical, and behavioral sciences.
npj Digit. Medicine, 2019

Physics-constrained deep learning for high-dimensional surrogate modeling and uncertainty quantification without labeled data.
J. Comput. Phys., 2019

Adversarial uncertainty quantification in physics-informed neural networks.
J. Comput. Phys., 2019

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations.
J. Comput. Phys., 2019

Machine learning in cardiovascular flows modeling: Predicting pulse wave propagation from non-invasive clinical measurements using physics-informed deep learning.
CoRR, 2019

Multi-fidelity classification using Gaussian processes: accelerating the prediction of large-scale computational models.
CoRR, 2019

A comparative study of physics-informed neural network models for learning unknown dynamics and constitutive relations.
CoRR, 2019

Conditional deep surrogate models for stochastic, high-dimensional, and multi-fidelity systems.
CoRR, 2019

2018
Numerical Gaussian Processes for Time-Dependent and Nonlinear Partial Differential Equations.
SIAM J. Sci. Comput., 2018

Physics-informed deep generative models.
CoRR, 2018

2017
Machine learning of linear differential equations using Gaussian processes.
J. Comput. Phys., 2017

Inferring solutions of differential equations using noisy multi-fidelity data.
J. Comput. Phys., 2017

Multi-fidelity Gaussian process regression for prediction of random fields.
J. Comput. Phys., 2017

Discovering variable fractional orders of advection-dispersion equations from field data using multi-fidelity Bayesian optimization.
J. Comput. Phys., 2017

Physics Informed Deep Learning (Part II): Data-driven Discovery of Nonlinear Partial Differential Equations.
CoRR, 2017

Physics Informed Deep Learning (Part I): Data-driven Solutions of Nonlinear Partial Differential Equations.
CoRR, 2017

Numerical Gaussian Processes for Time-dependent and Non-linear Partial Differential Equations.
CoRR, 2017

2016
Multifidelity Information Fusion Algorithms for High-Dimensional Systems and Massive Data sets.
SIAM J. Sci. Comput., 2016

Visualizing multiphysics, fluid-structure interaction phenomena in intracranial aneurysms.
Parallel Comput., 2016

Fractional modeling of viscoelasticity in 3D cerebral arteries and aneurysms.
J. Comput. Phys., 2016


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