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Francesca Crucinio

I am a fourth year OxWaSp student supervised by Adam Johansen (Warwick) and Arnaud Doucet (Oxford) working on non-standard interacting particle systems for Fredholm integral equations of the first kind.

Before joining OxWaSP, I studied Mathematical Engineering at Politecnico di Torino.

Research Interest

I am interested in computational statistics, particularly sequential Monte Carlo methods and interacting particle systems. My work focusses on developping sequential Monte Carlo algorithms and particle methods for the solution of a particular type of integral equations which find applications in image reconstruction and density deconvolution.

In the past, I worked on algebraic based sampling techniques for discrete distributions and their link with permutations.

Publications & Pre-prints

Crucinio F.R., Doucet A., Johansen, A.M. A Particle Method for Solving Fredholm Equations of the First Kind. arXiv pre-print: 2009.09974

Fontana R., and Crucinio F. R. Orbit-based conditional tests. A link between permutations and Markov bases. Journal of Statistical Planning and Inference 205:(23-33), 2020. [.pdf]

Awards

My poster Sequential Monte Carlo for Fredholm Equations of the First Kind won the Bronze Award at STEM for Britain 2019 Competition in March 2019 (picture below).

STEM

Photos copyright John Deehan Photography Ltd

Teaching

Presentations

  • Sequential Monte Carlo for Fredholm Integral Equations of The First Kind, Algorithms & Computationally Intensive Inference seminars, 6 March 2020, University of Warwick, Coventry, UK.
  • Sequential Monte Carlo for Fredholm Integral Equations of The First Kind, 10th International Workshop on Simulation and Statistics, September 2019, Salzburg, Austria.
  • Speeding up algebraic-based sampling via permutations, 4th Conference of the International Society for Nonparametric Statistics, June 2018, Salerno, Italy.

Posters

  • SMC for Fredholm Equations of the First Kind, BayesComp 2020, January 2020, Gainesville, Florida, US.
  • SMC for Fredholm Equations of the First Kind, Greek Stochastics, August 2019, Corfu, Greece.
  • Sequential Monte Carlo for Fredholm Equations of the First Kind, Workshop on Machine Learning, Computational Statistics and Applications, March 2019, Amazon Berlin, Germany.

Other

  • 2020/2021: Secretary of the Warwick SIAM-IMA Student Chapter
  • 2018/2019: Secretary of the Statistics Research Student Staff Liaison Committee (SSLC)
  • December 2017 - July 2018: Organized the Young Statisticians' Meeting (YSM)

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Email: F.Crucinio at warwick.ac.uk

Office: MSB 4.14