{"_id":"53793","status":"public","publication_status":"unpublished","oa":"1","citation":{"bibtex":"@article{Harder_Peitz, title={Predicting PDEs Fast and Efficiently with Equivariant Extreme Learning Machines}, author={Harder, Hans and Peitz, Sebastian} }","ama":"Harder H, Peitz S. Predicting PDEs Fast and Efficiently with Equivariant Extreme Learning Machines.","mla":"Harder, Hans, and Sebastian Peitz. <i>Predicting PDEs Fast and Efficiently with Equivariant Extreme Learning Machines</i>.","apa":"Harder, H., &#38; Peitz, S. (n.d.). <i>Predicting PDEs Fast and Efficiently with Equivariant Extreme Learning Machines</i>.","short":"H. Harder, S. Peitz, (n.d.).","ieee":"H. Harder and S. Peitz, “Predicting PDEs Fast and Efficiently with Equivariant Extreme Learning Machines.” .","chicago":"Harder, Hans, and Sebastian Peitz. “Predicting PDEs Fast and Efficiently with Equivariant Extreme Learning Machines,” n.d."},"type":"preprint","main_file_link":[{"url":"https://arxiv.org/abs/2404.18530","open_access":"1"}],"year":"2024","keyword":["extreme learning machines","partial differential equations","data-driven prediction","high-dimensional systems"],"language":[{"iso":"eng"}],"user_id":"98879","author":[{"id":"98879","first_name":"Hans","full_name":"Harder, Hans","last_name":"Harder"},{"last_name":"Peitz","id":"47427","orcid":"0000-0002-3389-793X","full_name":"Peitz, Sebastian","first_name":"Sebastian"}],"title":"Predicting PDEs Fast and Efficiently with Equivariant Extreme Learning Machines","date_created":"2024-04-30T08:43:14Z","date_updated":"2024-04-30T08:45:24Z","abstract":[{"lang":"eng","text":"We utilize extreme learning machines for the prediction of partial differential equations (PDEs). Our method splits the state space into multiple windows that are predicted individually using a single model. Despite requiring only few data points (in some cases, our method can learn from a single full-state snapshot), it still achieves high accuracy and can predict the flow of PDEs over long time horizons. Moreover, we show how additional symmetries can be exploited to increase sample efficiency and to enforce equivariance."}]}