Journal publications and preprints

  • S. Agapiou, M. Burger, M. Dashti and T. Helin, Sparsity promoting and edge-preserving maximum a posteriori estimators in non-parametric Bayesian inverse problems, Inverse Problems, volume 34, number 4 (2018).
    Online publication, arXiv preprint
  • S. Agapiou and P. Mathé, Posterior contraction in Bayesian inverse problems under Gaussian priors, New trends in parameter identification for mathematical models, Springer series Trends in Mathematics (2018), pages 1-19.
    Online publication, arXiv preprint
  • S. Agapiou, G. O. Roberts and S. J. Vollmer, Unbiased Monte Carlo: posterior estimation for intractable/infinite-dimensional models, Bernoulli, volume 24, number 3 (2018), pages 1726-1786.
    Online publication (supplementary material), arXiv preprint
  • S. Agapiou, D. Sanz-Alonso, Omiros Papaspiliopoulos and A. M. Stuart, Importance Sampling: Intrinsic Dimension and Computational Cost, Statistical Science, volume 32, number 3 (2017), pages 405-431.
    Online publication (supplementary material), arXiv preprint
  • S. Agapiou, J. M. Bardsley, O. Papaspiliopoulos and A. M. Stuart, Analysis of the Gibbs sampler for hierarchical inverse problems, SIAM/ASA Journal on Uncertainty Quantification, volume 2, issue 1 (2014), pages 511-544.
    Online publication, arXiv preprint
  • S. Agapiou, A. M. Stuart and Yuan-Xiang Zhang, Bayesian posterior contraction rates for linear severely ill-posed inverse problems, Journal of Inverse and Ill-Posed Problems, volume 22, issue 3 (2014), pages 297-321.
    Online publication, arXiv preprint
  • S. Agapiou, S. Larsson and A. M. Stuart, Posterior contraction rates for the Bayesian approach to linear ill-posed inverse problems, Stochastic Processes and their Applications, volume 123, issue 10 (2013), pages 3828-3860.
    Online publication, arXiv preprint

Theses

  • Aspects of Bayesian inverse problems, PhD thesis supervised by Prof. Andrew Stuart.
    PDF
  • A classical and a Bayesian approach to linear ill-posed inverse problems, MSc thesis supervised by Prof. Andrew Stuart.
    PDF
  • Stable and Infinitely Divisible distributions, Diploma thesis supervised by Prof. Spyros Argyros.
    PDF (in greek)


Sergios Agapiou
Department of Mathematics and Statistics
University of Cyprus
1 University Avenue
2109 Nicosia, Cyprus
Email: sergiosagapiou@gmail.com