DDPS | “The Weak Form Is Stronger Than You Think” скачать в хорошем качестве

DDPS | “The Weak Form Is Stronger Than You Think”

DDPS Talk date: November 22nd, 2024 Speaker: David Bortz (University of Colorado Boulder, https://www.colorado.edu/amath/david-...) Description: Recent advances in data-driven modeling approaches have proven highly successful in a wide range of fields in science and engineering. In particular, learning governing equations via mimizing an equation error criteria, offers a powerful and explainable scientific machine-learning framework. However, the first generation of these methods has proven poorly suited to noise-corrupted data. In this talk, I will present our weak form approach and briefly discuss how it addresses several ubiquitous challenges within conventional model development, discretization, parameter inference, and model refinement. In particular, I will describe our equation learning (WSINDy) and parameter estimation (WENDy) algorithms. Our approach has exhibited surprising performance, accuracy, and robustness properties. In many applications, the method is an order of magitude more accurate, robust to orders of magnitude more noise, and multiple orders of magnitude faster than conventional approaches. I will demonstrate these performance properties via applications to several benchmark problems in ordinary, partial, and stochastic differential equations as well as coarse-graining and reduced order modeling. For more information, see: https://www.siam.org/publications/sia... Bio: Prof. Bortz earned his PhD in 2002 with H.T. Banks at North Carolina State University. He was a postdoc at the University of Michigan in Mathematics and joined the faculty in Applied Math at the University of Colorado in 2006. The core of his research interests are weak form-based scientific machine learning and inverse problems at the intersection of applied math and statistics. His research has been supported by NSF, NIH, DOE, and DOD. DDPS webinar: https://www.librom.net/ddps.html 💻 LLNL News: https://www.llnl.gov/news 📲 Instagram:   / livermore_lab   🤳 Facebook:   / livermore.lab   🐤 Twitter:   / livermore_lab   About LLNL: Lawrence Livermore National Laboratory has a mission of strengthening the United States’ security through development and application of world-class science and technology to: 1) enhance the nation’s defense, 2) reduce the global threat from terrorism and weapons of mass destruction, and 3) respond with vision, quality, integrity and technical excellence to scientific issues of national importance. Learn more about LLNL: https://www.llnl.gov/. IM release number is: LLNL-VIDEO-871505