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.
Signatures for Images
Signatures for Images
![Signatures for Images illustration. Fragmented glass with RW.](/sites/default/files/2023-06/fragmented_illustration_cropped.jpg)
Principal investigators
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Kurusch Ebrahimi-Fard
![](/sites/default/files/styles/profile/public/2023-09/Harang_72.jpg?h=f140b6f6&itok=LcGrlqv-)
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
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Christa Cuchiero
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![](/sites/default/files/styles/profile/public/2023-09/Patras_72.jpg?h=f140b6f6&itok=N0-O8Djh)
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Fride Straum
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News
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.