Speaker:Academician Jane-Ling Wang (Department of Statistics, University of California, Davis, CA)
Topic:Functional data analysis in the age of AI
Speaker:Academician Jane-Ling Wang (Department of Statistics, University of California, Davis, CA)
Time:Dec 15 (Monday) , 2025, 10:40-11:30
Place: 4F-427, Assembly Building I
Abstract
In this talk, we present two applications of deep neural networks (DNNs) for functional data. Traditional methods require dimension reduction via pre-selected basis expansions, which may not be optimal. We propose an adaptive approach using a DNN with a basis-layer, where hidden units act as basis functions through micro neural networks. This architecture focuses on relevant information, improving dimension reduction and outperforming other DNNs in classification and regression tasks. Additionally, we demonstrate using transformers to effectively impute irregularly and sparsely observed functional data.
*Based on joint work with Ju-Sheng Hong, Jonas Mueller and Juwen Yao.
