I am a fourth year OxWaSp Link opens in a new windowstudent supervised by Adam JohansenLink opens in a new window (Warwick) and Arnaud DoucetLink opens in a new window (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 focuses on developing 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

J. Kuntz, F. R. Crucinio, and A. M. Johansen. Product-form estimators: exploiting independence to scale up Monte Carlo. arXiv pre-print: 2102.11575

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]

Other

Crucinio F. R. Microthesis: A Novel Algorithm for Solving Fredholm Integral Equations, LMS Newsletter (493), 2021. link

Upcoming Talks

• Monte Carlo methods for Fredholm Integral Equations, ENBIS 2021 Online Spring Meeting: Data Science in Process Industries, 17 May 2021 (online)

Awards

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

Photos copyright John Deehan Photography Ltd

Other

• 2020/2021: Secretary of the Warwick SIAM-IMA Student Chapter
• 2018/2019: Secretary of the Statistics Research Student Staff Liaison Committee (SSLCLink opens in a new window)
• December 2017 - July 2018: Organized the Young Statisticians' Meeting (YSMLink opens in a new window)

Email: F.Crucinio at warwick.ac.uk

Office: MSB 4.14