报告题目：Spectral Laplace-Beltrami Wavelets and Geometric Convolutional Neural Network for Signal Processing and Classification

报告摘要

The Laplace-Beltrami operator is a generalization of the Euclidean representation of the Laplace operator to an arbitrary Riemannian manifold. It is a self-adjoint operator and its eigenfunctions form a complete set of real-valued orthonormal basis functions. In this talk, I will introduce spectral Laplace-Beltrami wavelets and its computational algorithm. I will then demonstrate its use for smoothing and classification of the data defined on smooth surfaces embedded in the 3-D Euclidean space. Furthermore, I will discuss that the spectral Laplace-Beltrami Wavelets can be used for the construction of geometric convolutional neural network (CNN) and then introduce a vertex-based geometric CNN algorithm for regular surfaces in which translation and downsampling on surfaces can be the same as those in the regular grid. I will show the use of this method for the prediction of Alzheimer’s Disease.

嘉宾简介

Dr. Anqi Qiu has been devoted to innovation in computational analyses of complex and informative datasets comprising of disease phenotypes, neuroimage, and genetic data to understand the origins of individual differences in health throughout the lifespan. Her research group published ~140 peer-reviewed journal papers. Among them, 87% of papers were published in top 10% international journals in the field (based on SJR). Her team has developed a series of algorithms to analyze MRI data for understanding the brain anatomical and functional organization. These algorithms were derived based on theories of differential geometry, manifold statistics, and calculus of variation. They are powerful tools for the brain atlas generation, shape analysis, and studying statistical influences on complex structural shapes and functional organization. This series of works on medical image analysis were published in the top journals in the field, including IEEE transactions on medical image, IEEE transactions on image processing, and Medical Image Analysis.

Dr. Qiu received Faculty Young Research Award, 2016 Young Researcher Award of NUS. She has recently been appointed as endowed “Dean’s Chair” associate professor to honour her outstanding research achievements. She serves as treasurer on the council of Organization of Human Brain Mapping and editors of Neuroimage and Frontiers in Neuroscience.

特别感谢本次Webinar主要组织者：

张寒（张江实验室脑与智能科技研究院）