Alex Shestopaloff

Assistant Professor
College of Computational, Mathematical and Physical Sciences, Department of Mathematics & Statistics
Research Areas
- Bayesian statistics
- Statistics in finance
- Complex systems science
Education & Employment Background
Research Themes
General Description
My research focuses on 1) the development of novel MCMC methods and Bayesian modelling, 2) the statistical analysis of network data, including detecting when two networks are different, and 3) the development of novel statistical methods for financial applications.
Current Research Themes
1. Bayesian online learning. Bayesian online learning is the use of Bayesian inference to incrementally fit a model to a stream of observations. This can be done with the purpose of e.g., performing a forecast. However, real-world processes can generate data streams whose properties change due to changes in the underlying data generation process. Here, the question is: how can we develop methods for fitting models to streams of data that can learn to be adaptable to data that can change over time?
2. Network science. Networks, on the most broad level, represent data that consists of pairwise relations between some collection of entities (such as a social network, or a network of transactions). It is often of interest to understand whether a network has structure such as communities, or whether it has undergone a change. A question I am interested in is how can we statistically compare two networks to decide if they are different? Extending this, how can we detect a changepoint in a network time series?
3. Statistical finance. This part of my research studies empirically and develops methods for the analysis of data coming from the financial markets. Some questions of interest here are to do with both low and high frequency data. How can we detect structure, such as lead-lag relationships, in high dimensional ensembles of financial time series data? How can we use high frequency financial data to understand price formation?
Highlights
- New Frontiers in Research Fund Exploration Grant 2025-2027, "Improving wellbeing programs’ efficacy: Using adaptive AI to assess and foster wellbeing literacy". $249,978.00. (Co-applicant, PI is Simon Coulombe from Université Laval).