Abstract: |
| 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 and Hodge-Laplacian to incorporate graph network topology can be used for the construction of geometric convolutional neural network (CNN). I will show the use of this method on brain morphology and functional networks for the prediction of Alzheimer’s Disease and Cognition in adolescents. |
Biography: |
Dr. Qiu is a global STEM scholar and Professor at the Department of Health Technology and Informatics at the Hong Kong Polytechnic University. She is also an Adjunct Professor at the Department of Biomedical Engineering at the Johns Hopkins University. Her past roles include Deputy Head for Research & Enterprises at the Department of Biomedical Engineering and Director for the BME Innovation Center at the NUS Suzhou Research Institute, a part of the National University of Singapore. Dr. Qiu commenced her academic journey with a BS in Biomedical Engineering from Tsinghua University. She then earned two MS degrees - one in Biomedical Engineering from the University of Connecticut, and another in Applied Mathematics and Statistics from Johns Hopkins University. Her continued dedication to academia led her to earn a PhD from Johns Hopkins. Specializing in computational analyses, Dr. Qiu is deeply committed to understanding the origin of individual health differences throughout a lifespan. She leverages complex and informative datasets that include disease phenotypes, neuroimaging, and genetics to further her research. Her team has high-impact publications in Nature, Nature Neuroscience, Nature Mental Health, American Journal of Psychiatry, Biological Psychiatry, IEEE Transactions in Medical Imaging, Medical Image Analysis. |