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Zhang, Y.* ; Mezrag, L.* ; Sun, X.* ; Xu, C.* ; MacDonald, K.* ; Bhaskar, D.* ; Krishnaswamy, S.* ; Wolf, G. ; Rieck, B.

Principal curvatures estimation with applications to single cell data.

In: (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings, 6-11 April 2025, Hyderabad). 345 E 47th St, New York, Ny 10017 Usa: Ieee, 2025. DOI: 10.1109/ICASSP49660.2025.10888433 (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings)
Postprint DOI
The rapidly growing field of single-cell transcriptomic sequencing (scRNAseq) presents challenges for data analysis due to its massive datasets. A common method in manifold learning consists in hypothesizing that datasets lie on a lower dimensional manifold. This allows to study the geometry of point clouds by extracting meaningful descriptors like curvature. In this work, we will present Adaptive Local PCA (AdaL-PCA), a data-driven method for accurately estimating various notions of intrinsic curvature on data manifolds, in particular principal curvatures for surfaces. The model relies on local PCA to estimate the tangent spaces. The evaluation of AdaL-PCA on sampled surfaces shows state-of-the-art results. Combined with a PHATE embedding, the model applied to single-cell RNA sequencing data allows us to identify key variations in the cellular differentiation.
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Publication type Article: Conference contribution
Keywords Gaussian Curvature ; Principal Curvature ; Principal Directions ; Single-cell
ISSN (print) / ISBN 1520-6149
Conference Title ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Conference Date 6-11 April 2025
Conference Location Hyderabad
Publisher Ieee
Publishing Place 345 E 47th St, New York, Ny 10017 Usa
Institute(s) Institute of AI for Health (AIH)
Grants NSF
FRQNT grant
NSERC Discovery grant
CIFAR AI Chair
Swiss State Secretariat for Education, Research and Innovation
Hightech Agenda Bavaria
Yale Boehringer Ingelheim Biomedical Data Science Fellowship
Mitacs Globalink Research Award