Essays about: "Physics-Informed Deep Learning"

Found 3 essays containing the words Physics-Informed Deep Learning.

  1. 1. Solving Partial Differential Equations With Neural Networks

    University essay from Uppsala universitet/Matematiska institutionen

    Author : Håkan Karlsson Faronius; [2023]
    Keywords : Partial differential equations; neural networks; physics-informed neural networks; deep ritz method; fourier neural operator; importance sampling; inverse problems;

    Abstract : In this thesis three different approaches for solving partial differential equa-tions with neural networks will be explored; namely Physics-Informed NeuralNetworks, Fourier Neural Operators and the Deep Ritz method. Physics-Informed Neural Networks and the Deep Ritz Method are unsupervised machine learning methods, while the Fourier Neural Operator is a supervised method. READ MORE

  2. 2. A Physics-Informed Deep Learning Framework for Solving Inverse Problems in Epidemiology

    University essay from KTH/Optimeringslära och systemteori

    Author : Magnus Tronstad; [2022]
    Keywords : ;

    Abstract : This thesis develops and evaluates a physics-informed neural network (PINN) modelling framework for solving inverse problems in epidemiology. The PINN works by modifying the standard mean squared error loss function of the neural network, by adding a term penalizing deviations from a given compartmental model's system of ordinary differential equations. READ MORE

  3. 3. Physics-Informed Deep Learning for System Identification of Autonomous Underwater Vehicles : A Lagrangian Neural Network Approach

    University essay from KTH/Skolan för elektroteknik och datavetenskap (EECS)

    Author : Badi Mirzai; [2021]
    Keywords : AUV; System Identification; Deep Learning; Physics-Informed Deep Learning; Lagrangian Neural Networks; AUV; System Identifiering; Djupinlärning; Fysik-Informerad Djupinlärning; Lagrangianska Neurala Nätverk;

    Abstract : In this thesis, we explore Lagrangian Neural Networks (LNNs) for system identification of Autonomous Underwater Vehicles (AUVs) with 6 degrees of freedom. One of the main challenges of AUVs is that they have limited wireless communication and navigation under water. READ MORE