AbstractCan one learn a solution operator associated with a differential operator from pairs of solutions and righthand sides? If so, how many pairs are required? These two questions have received significant research attention in operator learning. More precisely, given input-output pairs from an unknown elliptic PDE, we will derive a theoretically rigorous scheme for learning the associated G...
SpeakerYunan Yang is an applied mathematician working in inverse problems and optimal transport. Currently, she is a tenure-track Goenka Family Assistant Professor in the Department of Mathematics at Cornell University. Yunan Yang earned a Ph.D. degree in mathematics from the University of Texas at Austin in 2018, supervised by Prof. Bjorn Engquist. From September 2018 to August 2021, Yunan was...