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BSI Lunchtime Seminar: Dr Rui Carvalho (Durham, Engineering)
28 February 2025 - 28 February 2025
12:00PM - 1:30PM
Penthouse, Collingwood College
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Free
Our Lunchtime Seminars, bring together invited external speakers and members of our community to share their research and stimulate discussion. They are a great way to make connections and to discover new areas of interdisciplinary biosciences research.
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Researchers in Discussion
Automatically Extracting Partial Differential Equations from Data
Dr Rui Carvalho (Durham, Engineering)
12 -1.30 pm,
Penthouse, Collingwood College
Register here: https://forms.office.com/e/yUinm9G2zc
Abstract
Identifying partial differential equations (PDEs) from data is crucial for understanding the governing mechanisms of natural phenomena, yet it remains a challenging task. We present an extension to the ARGOS framework, ARGOS-RAL, which leverages sparse regression with the recurrent adaptive lasso to identify PDEs from limited prior knowledge automatically. Our method automates calculating partial derivatives, constructing a candidate library, and estimating a sparse model. We rigorously evaluate the performance of ARGOS-RAL in identifying canonical PDEs under various noise levels and sample sizes, demonstrating its robustness in handling noisy and non-uniformly distributed data. We also test the algorithm's performance on datasets consisting solely of random noise to simulate scenarios with severely compromised data quality. Our results show that ARGOS-RAL effectively and reliably identifies the underlying PDEs from data, outperforming the sequential threshold ridge regression method in most cases. We highlight the potential of combining statistical methods, machine learning, and dynamical systems theory to automatically discover governing equations from collected data, streamlining the scientific modelling process.
About the Event
Each month the BSI will host a plenary session, as part of the BSI Writing Room session (10-12 pm). These plenaries aim to give information to further support the development of competitive applications. These special sessions will be on a range of topics of interest to those taking part in interdisciplinary biosciences research.
Find out more about our forthcoming Lunchtime Seminars.
Registration
All are welcome: whether you are already part of the BSI community or have never been involved before, please feel free to take part.
Registration link: https://forms.office.com/e/yUinm9G2zc