2023/2024

Signatures for Images

Mathematics
Signatures for Images illustration. Fragmented glass with RW.

Principal investigators

Kurusch Ebrahimi-Fard

Professor
Norwegian University of Science and Technology (NTNU)
Year at CAS
Research Area
Mathematics

Fabian Nøst Harang

Professor
Norwegian Business School (BI)
Year at CAS
Research Area
Mathematics

Abstract

An expert team with diverse mathematical backgrounds will build the mathematical foundations for image classification using iterated-integrals signature in the context of rough paths theory. This represents a significant mathematical challenge at the intersection of algebra, stochastic analysis, and geometry. Involving researchers with expertise in machine learning, we will explore signatures of images with a view towards real world applications. Related questions regarding statistical properties of signatures of images will be investigated and answered. The project will provide a platform for interdisciplinary research, reaching from pure mathematics into data science, and aiming at preparing applications for RCN and ERC projects.

Fellows

Yvain Bruned

Professor
University of Lorraine
Year at CAS

Ilya Chevyrev

Reader
University of Edinburgh
Year at CAS
Research Area
Mathematics
profile image illustration

Christa Cuchiero

Professor
University of Vienna
Year at CAS
Research Area
Mathematics /
Stochastic Analysis

Joscha Diehl

Professor
University of Greifswald
Year at CAS
Research Area
Mathematics

Frédéric Patras

Research Director
University Côte d'Azur & CNRS
Year at CAS

Fride Straum

PhD Candidate
Norwegian University of Science and Technology (NTNU)
Year at CAS

Samy Tindel

Professor
Purdue University
Year at CAS

News

Kurusch Ebrahimi-Fard, Professor at the Department of Mathematical Sciences at the Norwegian University of Science and Technology (NTNU) and Fabian Nøst Harang, Professor in Mathematics at BI Norwegian Business, is co-leading the CAS project "Signatures for Images" this academic year. This unique initiative aims to build mathematical foundations for image classification, leveraging iterated-integrals signature in the context of rough paths theory. It’s a venture at the intersection of algebra, stochastic analysis, and geometry, involving experts in machine learning to explore real-world applications and investigate the statistical properties of image signatures.

Throughout this month, CAS has been abuzz with intellectual exchange, hosting a series of three captivating lunch seminars featuring esteemed speakers from this year's project leaders.