During the academic year 2023/2024, Kurusch Ebrahimi Fard (NTNU, Trondheim) and Fabian N. Harang (BI Oslo) are running the project "Signatures for Images" (SFI) at the Centre for Advanced Study (CAS) in Oslo, Norway.

The purpose of the SFI project is to gather an international expert team of mathematicians with diverse backgrounds in applied and pure mathematics to study and build the mathematical foundations for image classification using iterated-integrals and sums signatures in the context of rough paths theory. This represents a significant mathematical challenge at the intersection of algebra, stochastic analysis, and geometry. By also involving researchers with expertise in machine learning, we will explore signatures of images with a view towards real world applications. Related questions regarding probabilistic and statistical properties of signatures of images will be addressed as well. 

During the academic year 2023/24, the project will host researchers at the CAS in Oslo. The program includes international workshops focusing on four core mathematical aspects of rough paths theory: algebra - analysis - geometry - probability. The central motivation are applications in data science and related fields. 

We plan to publish information about the SFI project and the related research events on this website. In addition, we plan to run a blog, where researchers interested in rough paths theory and its applications can post short summaries of their recent research results and/or promote upcoming research events of interest to the Norwegian and international community.