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

Computer Methods in Applied Mechanics and Engineering (CMAME), 2023

16 July 2023

George Karniadakis

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Papers citing "Discovering a reaction-diffusion model for Alzheimer's disease by combining PINNs with symbolic regression"

19 / 19 papers shown

Title
Physics-Informed Machine Learning in Biomedical Science and Engineering Nazanin Ahmadi Qianying Cao J. Humphrey George Karniadakis PINN AI4CE 150 0 0 06 Oct 2025
Analyzing Generalization in Pre-Trained Symbolic Regression Henrik Voigt Paul Kahlmeyer K. Lawonn Michael Habeck Joachim Giesen NAI 120 0 0 24 Sep 2025
SatelliteFormula: Multi-Modal Symbolic Regression from Remote Sensing Imagery for Physics Discovery Zhenyu Yu Mohd Yamani Idna Idris Pei Wang Yuelong Xia Fei Ma Rizwan Qureshi 162 6 0 06 Jun 2025
Online Traffic Density Estimation using Physics-Informed Neural Networks Dennis Wilkman Kateryna Morozovska Karl H. Johansson Matthieu Barreau 122 0 0 04 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 310 12 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 293 2 0 16 Jan 2025
Deep learning for model correction of dynamical systems with data scarcity Caroline Tatsuoka Dongbin Xiu 120 2 0 23 Oct 2024
Integrating Neural Operators with Diffusion Models Improves Spectral Representation in Turbulence Modeling Vivek Oommen Aniruddha Bora Zhen Zhang George Karniadakis DiffM 416 28 0 13 Sep 2024
Quantification of total uncertainty in the physics-informed reconstruction of CVSim-6 physiology Mario De Florio Zongren Zou Daniele E. Schiavazzi George Karniadakis 266 9 0 13 Aug 2024
Synergistic Learning with Multi-Task DeepONet for Efficient PDE Problem SolvingNeural Networks (NN), 2024 Varun V. Kumar S. Goswami Katiana Kontolati Michael D. Shields George Em Karniadakis AI4CE 177 18 0 05 Aug 2024
NeuroSEM: A hybrid framework for simulating multiphysics problems by coupling PINNs and spectral elements K. Shukla Zongren Zou Chi Hin Chan Additi Pandey Zhicheng Wang George Karniadakis PINN 189 18 0 30 Jul 2024
Accounting for plasticity: An extension of inelastic Constitutive Artificial Neural Networks Birte Boes Jaan-Willem Simon H. Holthusen AI4CE 199 11 0 27 Jul 2024
A comprehensive and FAIR comparison between MLP and KAN representations for differential equations and operator networks K. Shukla Juan Diego Toscano Zhicheng Wang Zongren Zou George Karniadakis 321 159 0 05 Jun 2024
BiLO: Bilevel Local Operator Learning for PDE Inverse Problems. Part I: PDE-Constrained Optimization Ray Zirui Zhang Christopher E. Miles Xiaohui Xie John S. Lowengrub 403 4 0 27 Apr 2024
Leveraging viscous Hamilton-Jacobi PDEs for uncertainty quantification in scientific machine learning Zongren Zou Tingwei Meng Paula Chen Jérome Darbon George Karniadakis 150 10 0 12 Apr 2024
Uncertainty quantification for noisy inputs-outputs in physics-informed neural networks and neural operators Zongren Zou Xuhui Meng George Karniadakis AI4CE 240 35 0 19 Nov 2023
Correcting model misspecification in physics-informed neural networks (PINNs)Journal of Computational Physics (JCP), 2023 Zongren Zou Xuhui Meng George Karniadakis PINN 234 64 0 16 Oct 2023
AI-Aristotle: A Physics-Informed framework for Systems Biology Gray-Box Identification Nazanin Ahmadi Daryakenari Mario De Florio K. Shukla George Karniadakis 176 54 0 29 Sep 2023
Leveraging Multi-time Hamilton-Jacobi PDEs for Certain Scientific Machine Learning Problems Paula Chen Tingwei Meng Zongren Zou Jérome Darbon George Karniadakis AI4CE 316 5 0 22 Mar 2023