Riemannian Covariance Descriptors for Medical Signal and Image Classification

We demonstrate that replacing Euclidean distance with the affine-invariant Riemannian metric on the SPD manifold improves diagnostic classification accuracy across two clinical domains: brain tumour classification from MRI (+5.67%, p=0.016) and myocardial infarction detection from 12-lead ECG (+8.15%, p=0.008). No additional data, training, or hardware required — only a change in the distance metric. Patent pending (AU 2026902296)

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-22
DOI
https://doi.org/10.5281/zenodo.19159106
Primary Topic
Morphological variations and asymmetry
Type
article
Field-Weighted Citation Impact
0.00
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article

Riemannian Covariance Descriptors for Medical Signal and Image Classification

Nicholas Muir
Zenodo (CERN European Organization for Nuclear Research)
Morphological variations and asymmetry
article

Riemannian Covariance Descriptors for Medical Signal and Image Classification

Nicholas Muir
article en

Abstract

We demonstrate that replacing Euclidean distance with the affine-invariant Riemannian metric on the SPD manifold improves diagnostic classification accuracy across two clinical domains: brain tumour classification from MRI (+5.67%, p=0.016) and myocardial infarction detection from 12-lead ECG (+8.15%, p=0.008). No additional data, training, or hardware required — only a change in the distance metric. Patent pending (AU 2026902296)

Zenodo (CERN European Organization for Nuclear Research)
Robotic Research (United States) (US), Robotic Technology (United States) (US)
Openalex Percentile: Top 10%
Morphological variations and asymmetry
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