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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 | Sun Woo Hwang (POSTECH MINDS) - Neural network approach to data-driven estimation of the Patlak-Keller-Segel model

MINDS SEMINAR
period : 2022-03-15 ~ 2022-03-15
time : 17:00:00 ~ 18:00
개졜 μž₯μ†Œ : Online streaming (Zoom)
Topic : Neural network approach to data-driven estimation of the Patlak-Keller-Segel model
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Date 2022-03-15 ~ 2022-03-15 Time 17:00:00 ~ 18:00
Speaker Sun Woo Hwang Affiliation POSTECH MINDS
Place Online streaming (Zoom) Streaming link ID : 688 896 1076 / PW : 54321
Topic Neural network approach to data-driven estimation of the Patlak-Keller-Segel model
Contents We consider the mathematical model of chemotaxis introduced by Patlak, Keller, and Segel. Aggregation and progression waves are present everywhere in the population dynamics of chemotactic cells. Aggregation originates from the chemotaxis of mobile cells, where cells are attracted to migrate to higher concentrations of the chemical signal region produced by themselves. The neural network can be used to find the approximate solution of the PDE. We proved that the error, the difference between the real value and the predicted value, is bound to a constant multiple of the loss we are learning. Also, the neural network approximation can be easily applied to the inverse problem. It was confirmed that even when the coefficient of the PDE equation was unknown, prediction with high accuracy was achieved.
MinDS MinDS Β· 2022-03-07 16:36 Β· Views 643

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