Ziyang Lyu

Dr. Ziyang Lyu is a Lecturer (tenure track assistant professor) in Statistics at the School of Mathematics and Statistics, UNSW Sydney. He completed his Ph.D. in Statistics at the Australian National University in 2020, followed by postdoctoral research at the University of Queensland (2020-2021) and University of New South Wales (2021-2024). His research spans asymptotic analysis, mixed models with crossed random effects, finite Gaussian mixture models, and machine learning from a statistical perspective with emphasis on semi-supervised learning.

• Education: Ph.D. in Statistics, Australian National University (2020)
• Previous Positions: Postdoctoral Research Fellow at University of Queensland (2020-2021), University of New South Wales (2021-2024)

His scholarly contributions focus on:

• Asymptotic theory for mixed effects models
• Crossed random effects modeling
• Finite mixture model analysis
• Statistical approaches to semi-supervised learning
• Missing data mechanisms in Gaussian mixture models

Research trends from his 12 publications (2018-2025) show sustained focus on asymptotic theory, mixed effects modeling, and statistical machine learning with applications to high-dimensional data analysis. His methodological work bridges theoretical statistics with practical implementation in R software.

Teaching responsibilities include:

• 2025 Course Convenor for Data Management for Statistical Analysis and Probability/Stochastic Processes
• 2024 Course Convenor for Statistics Fundamentals and Applied Regression Analysis