Schedule
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
개최 장소 : Online streaming (Zoom)
Topic : Neural network approach to data-driven estimation of the Patlak-Keller-Segel model
개요
| 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
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2022-03-07 16:36 ·
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