Research training, Heriot-Watt University, School of Engineering and Physical Sciences, from 2021-09 to
Learn the basics of variational methods, including VB (MFVB and FFVB) and EP (parallel EP, AEP, SEP and α-EP) methods. Compare different variational methods in linear regression model. Explore the algorithm design with different problem-specific convariance constraints.
Master dissertation, University of Edinburgh, School of Mathematics, from 2021-02 to 2021-08
Explore the basic ideas of INLA, and implement several models of increasing complexity for predicting the outcomes of soccer matches.
Course project, University of Edinburgh, School of Mathematics, 2021-03
This is a paper aims to address the problem, why and when deep networks can lessen or break the curse of dimensionality. Instead of focusing on a particular set of functions which have a very special structure, they consider functions in the Korobov spaces which is more general for high dimensional multivariate approximation.
Course project, University of Edinburgh, School of Mathematics, from 2020-11 to 2020-12
Compare three Bayesian models by implementing the models in JAGS, having JAGS sample from the corresponding posterior densities, and then using the deviance information criterion, DIC, for model comparison.
Research training, University of Edinburgh, School of Mathematics, 2020-11
Get an overview on Clarice Poon’s seminar on Off-the-grid sparse estimation, which focuses on the theoretical analysis of the stability of the Beurling-Lasso method.
Undergraduate dissertation, Beihang University, School of Mathematical Science, from 2020-02 to 2020-05
Introduce the value distribution problem of Gauss map of minimal surfaces in Euclidean space and present major contributions by Osserman,Xavier and Fujimoto.
Course project, Beihang University, School of Mathematical Science, from 2019-10 to 2019-12
An introduction to the Hirota bilinear method. Propose an extended KP-like equation with the generalized bilinear operators and discuss rational solutions based on polynomial solutions to the generalized bilinear equation.