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Statistical Science

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Computational Statistics and Machine Learning

This theme is concerned with advancing the theory, methodology, algorithms and applications to modern, computationally intensive, approaches for statistical inference.

We encompasses topics from machine learning methods for adaptive systems and flexible modelling, to optimisation and simulation based approaches to solve intractable computational problems of relevance to statistics, such asÌývariational or Monte Carlo methods and simulation-based inference.

The need for advanced algorithms is a reality in any modern day application of statistics, be it in finance, social science,Ìýnatural sciences orÌýbeyond. The development of simulation and optimisation algorithms, as well as the analysis of theirÌýproperties in the context of statistical inference, is a core mission of our group. Our research has advanced the applicability of models that imply complex posterior distributions in Bayesian inference, or more generally those that involve sophisticated generative models required to faithfully capture the structure of real data.Ìý

Machine learningÌýoriginated from research in artificial intelligence, where historically the focus has been on data-driven approaches forÌýthe development of autonomous systems. However, it has grown to affect science and society in many high-stakes applicationsÌýthat requireÌýcareful statistical diligence and a deep understanding of the specific needs raised by real-world data. Our group advances machine learning methodologyÌýby embracing the adaptability and generality of AI-inspired research with the expectations ofÌýstakeholders whoÌýrequire robustness and uncertainty quantification in their applications.

Theme Members

Research Groups

  • . The focus of this research group is on the intersection of statistical inference and machine learning methodology and theory.Ìý

Recent and UpcomingÌýEvents

Current and Recent Externally Funded Projects

  • Transfer Learning for Monte Carlo Methods, EPSRC New Investigator AwardÌý. June 2024 - June 2027. PI: Briol. Ìý
  • Robust Foundations for Bayesian Inference, EPSRCÌý. June 2024 - June 2025. PI: Briol, co-I: Knoblauch.
  • CHAI -ÌýCausality in Healthcare AI with Real Data, EPSRC AI HubÌý, February 2024 - January 2029, Co-Is: Silva and Karla Diaz-Ordaz
  • The Causal Continuum - Transforming Modelling and Computation in Causal Inference, EPSRC Open FellowshipÌý, October 2022 - September 2027, PI: Silva
  • Robust and Scalable Markov Chain Monte Carlo for Heterogeneous Models, EPSRCÌý. JulyÌý2022 - October 2024. PI: Livingstone
  • Geometry and Bayesian statistics to reconstruct protein radical structures from ENDOR spectroscopy,Ìý, Fellow: Pokern