A novel framework for generalization of deep hidden physics models

Fuente: arXiv
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Autori principali: Kag, Vijay, Pal, Birupaksha
Natura: Preprint
Pubblicazione: 2024
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author Kag, Vijay
Pal, Birupaksha
author_facet Kag, Vijay
Pal, Birupaksha
contents Modelling of systems where the full system information is unknown is an oft encountered problem for various engineering and industrial applications, as it's either impossible to consider all the complex physics involved or simpler models are considered to keep within the limits of the available resources. Recent advances in greybox modelling like the deep hidden physics models address this space by combining data and physics. However, for most real-life applications, model generalizability is a key issue, as retraining a model for every small change in system inputs and parameters or modification in domain configuration can render the model economically unviable. In this work we present a novel enhancement to the idea of hidden physics models which can generalize for changes in system inputs, parameters and domains. We also show that this approach holds promise in system discovery as well and helps learn the hidden physics for the changed system inputs, parameters and domain configuration.
format Preprint
id arxiv_https___arxiv_org_abs_2401_04648
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle A novel framework for generalization of deep hidden physics models
Kag, Vijay
Pal, Birupaksha
Machine Learning
Artificial Intelligence
Analysis of PDEs
Modelling of systems where the full system information is unknown is an oft encountered problem for various engineering and industrial applications, as it's either impossible to consider all the complex physics involved or simpler models are considered to keep within the limits of the available resources. Recent advances in greybox modelling like the deep hidden physics models address this space by combining data and physics. However, for most real-life applications, model generalizability is a key issue, as retraining a model for every small change in system inputs and parameters or modification in domain configuration can render the model economically unviable. In this work we present a novel enhancement to the idea of hidden physics models which can generalize for changes in system inputs, parameters and domains. We also show that this approach holds promise in system discovery as well and helps learn the hidden physics for the changed system inputs, parameters and domain configuration.
title A novel framework for generalization of deep hidden physics models
topic Machine Learning
Artificial Intelligence
Analysis of PDEs
url https://arxiv.org/abs/2401.04648