Publications

Preprints

• An operator splitting analysis of Wasserstein–Fisher–Rao gradient flows
  Crucinio F.R., Pathiraja, S.
• A note on the unique properties of the Kullback–Leibler divergence for sampling via gradient flows
  Crucinio F.R.
• Sequential Monte Carlo approximations of Wasserstein–Fisher–Rao gradient flows
  Crucinio F.R., Pathiraja, S.

Papers

(arXiv versions here)

• Solving Fredholm Equations of the Second Kind via Wasserstein Gradient Flows
  Crucinio F.R., Johansen, A.M.
  Electronic Journal of Statistics, 20(1) 811–861, 2026

• Wasserstein Fisher Rao Gradient Flows: Operator Splitting & Convergence Speed
  Crucinio F.R., Pathiraja, S.
  NeurIPS Workshop on Dynamics at the Frontiers of Optimization, Sampling, and Games, 2025
• A mirror descent approach to maximum likelihood estimation in latent variable models
  Crucinio F.R.
  Journal of Computational and Graphical Statistics, 1–10, 2026
• Proximal Interacting Particle Langevin Algorithm
  Cordero Encinar P., Crucinio F.R., Akyildiz Ö. D.
  Uncertainty in Artificial Intelligence (UAI), 2025 (Oral)
• Towards a turnkey approach to unbiased Monte Carlo estimation of smooth functions of expectations
  Chopin N., Crucinio F.R., Singh S. S.
  Biometrika, Volume 112, Issue 3, 2025
• Interacting Particle Langevin Algorithm for Maximum Marginal Likelihood Estimation
  Akyildiz Ö. D., Crucinio F.R., Girolami M., Johnston T., Sabanis S.
  ESAIM: Probability and Statistics, Vol. 29, 243–280, 2025
• Optimal Scaling Results for Moreau-Yosida Metropolis-adjusted Langevin Algorithms
  Crucinio F.R., Durmus A., Jiménez P., Roberts, G. O.
  Bernoulli, Vol. 31, No. 3, 1889-1907, 2025
• A connection between Tempering and Entropic Mirror Descent
  Chopin N., Crucinio F.R., Korba A.
  Proceedings of the 41st International Conference of Machine Learning (ICML), 2024
• Solving Fredholm Equations of the First Kind via Wasserstein Gradient Flows
  Crucinio F.R., De Bortoli V., Doucet A., Johansen, A.M.
  Stochastic Processes & their Applications, Volume 173, July 2024, 104374, 2024
• The divide-and-conquer sequential Monte Carlo algorithm: theoretical properties and limit theorems
  Kuntz J., Crucinio F.R., Johansen, A.M.
  Annals of Applied Probability, 34(1B): 1469-1523, 2024
• A divide and conquer sequential Monte Carlo approach to high dimensional filtering
  Crucinio F.R., Johansen, A.M.
  Statistica Sinica, Volume 34, Online Special Issue I, 2024
• Properties of Marginal Sequential Monte Carlo Methods
  Crucinio F.R., Johansen, A.M.
  Statistics and Probability Letters, Volume 203, 109914, 2023
• A Particle Method for Solving Fredholm Equations of the First Kind
  Crucinio F.R., Doucet A., Johansen, A.M.
  Journal of the American Statistical Association, 118:542, 937-947, 2023
• Product-form estimators: exploiting independence to scale up Monte Carlo
  Kuntz J., Crucinio F.R., Johansen A.M.
  Statistics and Computing 32, 12, 2022
• Orbit-based conditional tests. A link between permutations and Markov bases
  Fontana R., Crucinio F. R.
  Journal of Statistical Planning and Inference 205:(23-33), 2020

Books

• Elementi di Statistica per l’Ingegneria e l’Architettura. Teoria ed esercizi svolti
  Bonino D., Crucinio F.R., Fontana R., Pellerey F.
  Società Editrice Esculapio, 2017

Other

• Speeding up algebraic-based sampling via permutations
  Crucinio F.R., Fontana R.
  In: La Rocca M., Liseo B., Salmaso L. (eds) Nonparametric Statistics. ISNPS 2018. Springer Proceedings in Mathematics & Statistics 339(145-155), 2020
• Comparison of conditional tests on Poisson data
  Fontana R., Crucinio F.R.
  Statistics and Data Science: new challenges, new generations. SIS 2017 Proceedings, Firenze University Press, 2017
• Some interacting particle methods with non-standard interactions
  Crucinio F.R.
  PhD Thesis, University of Warwick, 2021
• Microthesis: A Novel Algorithm for Solving Fredholm Integral Equations
  Crucinio F.R.
  LMS Newsletter (493), 2021