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Established in 2020, POSTECH Mathematical Institute for Data Science (MINDS) is the community of researchers in the areas of fundamental data science, machine learning, artificial intelligence, scientific computing, and humanitarian data science. MINDS mission is to provide a platform for collaboration among researchers and to provide various opportunities for students in data science. MINDS also aims to use our data science research to serve our local and global communities pursuing humanitarian data science.

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MINDS SEMINAR

MINDS Seminar Series | Jihun Han (Dartmouth College) - Collaboration between PDEs and machine learning: solving PDEs and learning dynamical systems using neural networks

MINDS SEMINAR
period : 2024-04-23 ~ 2024-04-23
time : 10:00:00 ~ 11:00:00
개최 장소 : Online streaming (Zoom)
Topic : Collaboration between PDEs and machine learning: solving PDEs and learning dynamical systems using neural networks
개요
Date 2024-04-23 ~ 2024-04-23 Time 10:00:00 ~ 11:00:00
Speaker Jihun Han Affiliation Dartmouth College
Place Online streaming (Zoom) Streaming link ID : 688 896 1076 / PW : 54321
Topic Collaboration between PDEs and machine learning: solving PDEs and learning dynamical systems using neural networks
Contents This talk has two main parts. Firstly, I will discuss a stochastic approach for solving PDEs: the derivative-free loss method (DFLM). I will cover its analysis and highlight its advantages in addressing multiscale problems and perforated domain problems in a non-intrusive manner. In the second part, I will introduce a method for learning in-between imagery dynamics. This method involves integrating PDE models within the latent spaces to enhance learning. Notably, this method exhibits robustness in capturing intricate dynamics, such as rotation and outflow, which are challenging for existing state-of-the-art methods of optimal transport.
MinDS MinDS · 2024-04-08 11:40 · Views 173

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