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Event(s) on May 2020
- Friday, 8th May, 2020
Title: Confirmation of PhD Oral Defense - Cao Xinlin Speaker: CAO Xinlin, Mathematics, Hong Kong Baptist University, HKSAR Time/Place: 10:30 - 12:00
Zoom, Meeting ID: 936 1715 5299 Password: 16482670
Abstract: Title: Geometric Structures of Eigenfunctions with Applications to Inverse Scattering Theory, and Nonlocal Inverse Problems
- Friday, 29th May, 2020
Title: Efficient energy structure preserved numerical schemes for a class of gradient flow models and their applications Speaker: Prof. Yang Xiaofeng, Department of Mathematics, University of South Carolina, USA Time/Place: 11:00 - 11:45
Abstract: The main challenge of constructing energy-stable numerical schemes for the gradient flow type of models with high stiffness is how to design proper temporal discretizations for the nonlinear terms. We develop the novel Invariant Energy Quadratization (IEQ) and Scalar Auxiliary Variable (SAV) approaches where the nonlinear potentials are transformed into the quadratic form and then discretized semi-implicitly. In these ways, one only needs to solve a linear and symmetric positive definite system for the IEQ method and two linear equations with constant coefficients for the SAV method. We also discuss how to apply these algorithms to complicated models including the anisotropic dendritic solidification model with and without the melt convection. Various 2D and 3D numerical simulations are performed to demonstrate the stability and accuracy of the developed algorithms thereafter.
- Friday, 29th May, 2020
Title: Bayesian Non-Parametrics approach to Graph Modelling Speaker: Prof. Richard Yi Da Xu, University of Technology, Sydney Time/Place: 14:30 - 15:30
Abstract: Bayesian Non-Parametrics (BNP) has been popularly used to cluster data under potentially infinite-many mixtures and has been applied to a wide range of applications. In this talk, I will first present its foundational knowledge before showcasing two BNP examples in the Graph settings. Specifically, I will discuss how we have applied BNP to edge segmentation in a social community detection problem. I will also discuss how we developed a generalised Swendsen-Wang sampling strategy using BNP and have implemented it in the image-pixel (nodes) segmentation problem.