Engineering 2 1156 High Street, Santa Cruz, California 95064

Speaker: Yeonjong Shin, Assistant Professor

Assistant Professor, Korea Advanced Institute of
Science and Technology

 

Description: Machine learning (ML) has achieved unprecedented empirical success in diverse applications. It now has been applied to solve scientific problems, which has become an emerging field, Scientific Machine Learning (SciML). Many ML techniques, however, are very complex and sophisticated, commonly requiring many trial-and error and tricks. These result in a lack of robustness and interpretability, which are critical factors for scientific applications. This talk centers around mathematical approaches for SciML, promoting trustworthiness. The first part is about how to embed physics into neural networks (NNs). I will present a general framework for designing NNs that obey the first and second laws of thermodynamics. The framework not only provides flexible ways of leveraging available physics information but also results in expressive NN architectures. The second part is about the training of NNs, one of the biggest challenges in ML. I will present an efficient training method for NNs - Active Neuron Least Squares (ANLS). ANLS is developed from the insight gained from the analysis of gradient descent training.
 

Bio: Dr. Shin received his Ph.D. in Mathematics at the Ohio State University in 2018. Before he joins the Korea Advanced Institute of Science and Technology as a tenure track Assistant Professor of Mathematical Sciences, he was a Prager Assistant Professor of Applied Mathematics at Brown University. He is a recipient of the Sang-san Young Mathematician Award from the Korea Mathematics Society. His research interests include applied and computational mathematics for AI, scientific machine learning, uncertainty quantification, AI for science, and digital twins.

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