Research
Xavier Pennec (Inria)
Short bio
Xavier Pennec is a Senior Research Scientist at Inria. His research interest is at the intersection of statistics, differential geometry, computer science and medicine. He is particularly interested in the mathematics involved in computational anatomy: geometric statistics involve statistical computing on Riemannian manifolds and other geometric structures. He contributed mathematically grounded methods and algorithms for medical image registration, statistics on shapes, and their translation to clinical research applications.
Research topic | Geometric statistics and geometric subspace learning
We study the impact of topology (singularities) and geometry (non-linearity) of the data and model spaces on statistical learning, with applications to computational anatomy and the life sciences. The tenet is that geometry is critical when learning with limited resources and real-world constraints such as small data and limited computational resources.