Personal Webpage of Francesco Ballerin

PhD fellow at the University of Bergen

Publications

2026

  1. Geometric Methods for Image Restoration, Spherical Data, and Data-Driven Discovery of PDEs

    F. Ballerin

    PhD thesis, University of Bergen Thesis

  2. Discovering PDEs equivariant under rigid motions

    F. Ballerin, E. Grong

    arXiv preprint 2608.08913 arXiv

  3. Equivariant nonlinear partial differential operators on constant curvature spaces

    F. Ballerin, E. Grong

    arXiv preprint 2605.16847 arXiv

2025

  1. SO(3)-Equivariant Neural Networks for Learning from Scalar and Vector Fields on Spheres

    F. Ballerin, N. Blaser, E. Grong

    arXiv preprint 2503.09456 arXiv

  2. Geometry of the Visual Cortex with Applications to Image inpainting and Enhancement

    F. Ballerin, E. Grong

    Graphical Models, vol. 137, 101239 Journal

2022

  1. Sub-Riemannian geometry and its applications to image processing

    F. Ballerin

    Master's thesis, University of Bergen Thesis