A subsample-and-average pipeline with rejection sampling and Procrustes alignment yields density-robust circular coordinates from persistent cohomology, validated on synthetic and C. elegans data.
The reach, metric distortion, geodesic convexity and the variation of tangent spaces
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Subsampling, aligning, and averaging to find circular coordinates in recurrent time series
A subsample-and-average pipeline with rejection sampling and Procrustes alignment yields density-robust circular coordinates from persistent cohomology, validated on synthetic and C. elegans data.