Ana

About Me

Hi! I am an Argentinian PhD Student at the School of Mathematical and Computer Sciences, Heriot-Watt University. I studied Electronic Engineering at the University of Buenos Aires.

Some of my research interests include:
  • Mathematical imaging
  • Inverse problems
  • High-dimensional Bayesian statistical analysis and computation
Curriculum Vitae
Scopus Author ID: 57195837364

PhD Project

Bayesian computation in imaging inverse problems with partially unknown models

Mathematical imaging is at the core of modern data science, with important applications in medicine, biology, defense, agriculture and environmental sciences. This active research field studies imaging inverse problems involving the estimation of an unobserved true image from measurements that are noisy, incomplete and resolution-limited. This project is related to an increasingly important and particularly challenging class of imaging inverse problems that, in addition to being ill-posed and ill-conditioned, are further complicated by inaccurate and partial knowledge of the observation system and of the properties of the underlying true image (which are essential to regularize the problem and deliver meaningful estimates). These so-called “semi-blind” and “unsupervised” problems are the focus of significant research efforts across a range of scientific communities, particularly Bayesian statistics, signal processing, and applied analysis, which have recently produced important developments in mathematical theory, methods, models and efficient algorithms. This project will focus on new Bayesian computation methodology for this challenging class of imaging inverse problems, with a focus on methods that tightly combine modern high-dimensional stochastic simulation and optimization, and which support advanced Bayesian analyses.

Publications

  • A. F. Vidal, V. De Bortoli, M. Pereyra and A. Durmus, "Maximum-a-posteriori estimation with unknown regularisation parameters: combining deterministic and Bayesian approaches", in preparation.
  • A. F. Vidal and M. Pereyra, "Maximum likelihood estimation of regularization parameters", to appear in 2018 IEEE International Conference on Image Processing (ICIP).
  • A. F. Vidal, L. Ciocci Brazzano, C. L. Matteo, P. A. Sorichetti and M. G. González, "Parametric modeling of wideband piezoelectric polymer sensors: Design for optoacoustic applications". Review of Scientific Instruments, 88(9), 095004, Sep. 2017.
  • A. F. Vidal, M. G. González and P. Sorichetti, "Sensores piezoeléctricos para aplicaciones optoacústicas: Efectos de los procesos de relajación". In Proc. Biennial Congress of Argentina (ARGENCON), 2016 IEEE (pp. 1-5). IEEE, Jun. 2016.