Statistics

Listed on this page are current research projects being offered for the Vacation Scholarship Program.

For more information on this research group see: Statistics



Visualisation and modelling pedestrian flows in Melbourne

There are around 40 sensors installed in Melbourne’s Central Business District (CBD), and the pedestrian number is closely monitored and recorded hourly. This dataset is available to the public.

This project will involve visualising and analysing this data: (1) Visualising the typical daily and weekly pattern of the data through interactive tools (e.g., RShiny, Plotly/Dash); (2) Modelling the datasets through time series methods (e.g., ARIMA and VAR).

Contact: Tingjin Chu tingjin.chu@unimelb.edu.au, Joyce Zhang lele.zhang@unimelb.edu.au

Classifying phases of many-body systems using machine learning

Matter can exist in various different phases. Water for instance can exist in a frozen, a liquid or a gaseous state depending on external parameters such as temperature and pressure. Other materials may exhibit a very complicated phase diagram involving lots of parameters and many distinct phases, potentially even phases of topological origin. When looking at a specific Hamiltonian describing the dynamics of a classical or quantum system with a large number of particles it is usually highly non-trivial to determine the phase the system resides in for a given set of parameters.

In this project the vacation scholar will explore how to describe phases of matter mathematically and use machine learning techniques to map out the phase diagrams of some model systems. Affinity to physics and basic programming experience will be assumed but besides numerical work (with Python) there will also be ample opportunity to gain new analytical insights.

Contact: Thomas Quella thomas.quella@unimelb.edu.au