STRIDE-Z: A Windowed Persistent-Homology Descriptor of Bilateral Stride-Interval Geometry

Preprint and full reproducibility package. CLPR, a sliding-window Vietoris–Rips H1 descriptor of paired left/right stride intervals, was evaluated on a 1,200-series synthetic benchmark and all 64 records of the PhysioNet Gait in Neurodegenerative Disease Database. CLPR tracks designed perturbations synthetically but does not separate diagnostic groups in real data (H = 3.262, p = 0.353), a null result robust to representation, covariates and outlier removal. A surrogate-normalized variant that appeared significant was traced to outlier strides. All results are re-executable from the included code; raw PhysioNet data are not redistributed.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-08
DOI
https://doi.org/10.5281/zenodo.23223732
Primary Topic
Topological and Geometric Data Analysis
Type
preprint
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preprint

STRIDE-Z: A Windowed Persistent-Homology Descriptor of Bilateral Stride-Interval Geometry

Omar Abdullayev
Zenodo (CERN European Organization for Nuclear Research)
Topological and Geometric Data Analysis
preprint

STRIDE-Z: A Windowed Persistent-Homology Descriptor of Bilateral Stride-Interval Geometry

Omar Abdullayev
preprint en

Abstract

Preprint and full reproducibility package. CLPR, a sliding-window Vietoris–Rips H1 descriptor of paired left/right stride intervals, was evaluated on a 1,200-series synthetic benchmark and all 64 records of the PhysioNet Gait in Neurodegenerative Disease Database. CLPR tracks designed perturbations synthetically but does not separate diagnostic groups in real data (H = 3.262, p = 0.353), a null result robust to representation, covariates and outlier removal. A surrogate-normalized variant that appeared significant was traced to outlier strides. All results are re-executable from the included code; raw PhysioNet data are not redistributed.

Zenodo (CERN European Organization for Nuclear Research)
Topological and Geometric Data Analysis
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STRIDE-Z: A Windowed Persistent-Homology Descriptor of Bilateral Stride-Interval Geometry — Omar Abdullayev · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS