Essays about: "Neural ordinary differential equations"

Found 4 essays containing the words Neural ordinary differential equations.

  1. 1. Solving Ordinary Differential Equations and Systems using Neural Network Methods

    University essay from Karlstads universitet/Institutionen för matematik och datavetenskap (from 2013)

    Author : Mimmi Westrin; [2023]
    Keywords : Neural network methods; trial solutions; numerical methods; Lotka-Volterra system; SEIR model;

    Abstract : The applications of differential equations are many. However, many differential equations modelling real-world scenarios are very complex and it can be of great difficulty to find an exact solution if one even exists. Thus, it is of importance to be able to approximate solutions of differential equations. READ MORE

  3. 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

  4. 3. Physics-informed Neural Networks for Biopharma Applications

    University essay from Umeå universitet/Institutionen för fysik

    Author : Linnéa Cedergren; [2021]
    Keywords : PINN; PINNs; physics-informed neural networks; neural networks; machine learning; sartorius; CSTR;

    Abstract : Physics-Informed Neural Networks (PINNs) are hybrid models that incorporate differential equations into the training of neural networks, with the aim of bringing the best of both worlds. This project used a mathematical model describing a Continuous Stirred-Tank Reactor (CSTR), to test two possible applications of PINNs. READ MORE

  5. 4. Neural Ordinary Differential Equations for Anomaly Detection

    University essay from KTH/Matematisk statistik

    Author : Jón Hlöðver Friðriksson; Erik Ågren; [2021]
    Keywords : Anomaly detection; Neural ordinary differential equations; Statistical modelling; Autoregression; Variational autoencoder; Multivariate time series; Anomalidetektion; Neurala ordinära differentialekvationer; Statistisk modellering; Autoregression; Variational autoencoder; Multivariat tidsserie;

    Abstract : Today, a large amount of time series data is being produced from a variety of different devices such as smart speakers, cell phones and vehicles. This data can be used to make inferences and predictions. Neural network based methods are among one of the most popular ways to model time series data. READ MORE