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Paper · arXiv

Shift- and stretch-invariant non-negative matrix factorization with an application to brain tissue delineation in emission tomography data

Dynamic neuroimaging data, such as emission tomography measurements of radiotracer transport in blood or cerebrospinal fluid, often exhibit diffusion-like properties. These introduce distance-dependent temporal delays, scale-differences, and stretching effects that limit the effectiveness of conventional linear modeling and decomposition methods. To address this, we present the shift- and stretch-invariant non-negative matrix factorization framework. Our approach estimates both integer and non-integer temporal shifts as well as temporal stretching, all implemented in the frequency domain, where shifts correspond to phase modifications, and where stretching is handled via zero-padding or t...

AuthorsAnders S. Olsen, Miriam L. Navarro, Claus Svarer et al.
Primary categorycs.LG
Published9 April 2026
Last updated at source9 April 2026
cs.LG
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