# Welcome to The Centre for Probability, Statistics and Data Science

The centre covers three broadly overlapping main areas of research: probability, statistics and data science. Probability theory is a core topic within mathematics and a foundational aspect in much of the work of the centre. A broad range of areas within probability and applied probability are investigated from stochastic processes, understanding the properties of random mathematical structures including many applications to areas such as statistical physics, finance, etc. The centre also has a strong group of statisticians developing both statistical theory, e.g. Bayesian inference, methodologies, e.g. modelling of spatio-temporal data, and applications, e.g. biostatistics. Finally, the centre has in expertise of other aspects of data science including the foundations of machine learning, solving inverse systems as related to data, topological techniques, and others.

## Recent Publications

- Shenvi A and Liverani S (2024).
**Beyond conjugacy for chain event graph model selection.***International Journal of Approximate Reasoning*,*Elsevier*vol. 173

01-10-2024 - Dong G, Hintermüller M and Papafitsoros K (2024).
**A Descent Algorithm for the Optimal Control of ReLU Neural Network Informed PDEs Based on Approximate Directional Derivatives.***SIAM Journal on Optimization*,*Society for Industrial & Applied Mathematics (SIAM)*vol. 34 (3), 2314-2349.

02-07-2024 - Alonso ÁJ, Kerber M and Skraba P (2024).
**Probabilistic Analysis of Multiparameter Persistence Decompositions into Intervals.**

01-06-2024

## Recent Grants

**Life at large n: high-dimensional scaling limits of marine microbial processes and interactions**

**Natasha Blitvic**

£264,960

*Simons Foundation (USA)*(01-09-2024 - 31-08-2025)

**Universality in Topological Data Analysis**

**Omer Bobrowski**and Primoz Skraba

£330,778

*Leverhulme Trust*(22-07-2024 - 21-07-2027)

**Topological Phase Transitions in Stochastic Geometry**

**Omer Bobrowski**

£396,018

*EPSRC Engineering and Physical Sciences Research Council*(01-04-2024 - 31-03-2027)