Web: http://arxiv.org/abs/2201.11967

Jan. 31, 2022, 2:11 a.m. | Jin Young Shin, Jae Yong Lee, Hyung Ju Hwang

cs.LG updates on arXiv.org arxiv.org

Learning mapping between two function spaces has attracted considerable
research attention. However, learning the solution operator of partial
differential equations (PDEs) remains a challenge in scientific computing.
Therefore, in this study, we propose a novel pseudo-differential integral
operator (PDIO) inspired by a pseudo-differential operator, which is a
generalization of a differential operator and characterized by a certain
symbol. We parameterize the symbol by using a neural network and show that the
neural-network-based symbol is contained in a smooth symbol class. …

arxiv learning operators

More from arxiv.org / cs.LG updates on arXiv.org

Senior Data Analyst

@ Fanatics Inc | Remote - New York

Data Engineer - Search

@ Cytora | United Kingdom - Remote

Product Manager, Technical - Data Infrastructure and Streaming

@ Nubank | Berlin

Postdoctoral Fellow: ML for autonomous materials discovery

@ Lawrence Berkeley National Lab | Berkeley, CA

Principal Data Scientist

@ Zuora | Remote

Data Engineer

@ Veeva Systems | Pennsylvania - Fort Washington