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Geometric Deep Learning: Going beyond Euclidean data
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Geometric deep learning is an umbrella term for emerging techniques attempting to generalize (structured) deep neural models to non-Euclidean domains, such as graphs and manifolds. The purpose of this article is to overview different examples of geometric deep-learning problems and present available solutions, key difficulties, applications, and future research directions in this nascent field.
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von Tycowicz, C. (2020) · IEEE International Symposium on Biomedical Imaging (ISBI) · doi:10.1109/isbi45749.2020.9098687 · Cited by 22
TARig: Adaptive template-aware neural rigging for humanoid characters
Ma, J., & Zhang, D. (2023) · doi:10.2139/ssrn.4326447 · Cited by 17
RigNet: Neural Rigging for Articulated Characters
Xu, Z., Zhou, Y., Kalogerakis, E., Landreth, C., & Singh, K. (2020) · arXiv · doi:10.48550/arxiv.2005.00559 · Cited by 13
“Graph Neural Networks (GNNs) have become increasingly popular for graph processing tasks [Battaglia et al. 2016; Bruna et al. 2014; Defferrard et al. 2016; Hamilton et al. 2017a,b; Henaff et al. 2015; Kipf and Welling 2016; Li et al. 2016; Scarselli et al. 2009; Wu et al. 2019].”
BackgroundInterpretable representation learning for 3D multi-piece intracellular structures using point clouds
Vasan, R., Ferrante, A. J., Borensztejn, A., Frick, C. L., Garrison, P., Gaudreault, N., Mogre, S. S., Mohammed, F. S., Morris, B., Pires, G. G., et al. (2025) · Nature Methods · doi:10.1038/s41592-025-02729-9 · Cited by 7
Metadata
- Authors
- Bronstein, M. M., Bruna, J., LeCun, Y., Szlam, A., & Vandergheynst, P.
- Affiliations
- Tel Aviv University (IL)
- Courant Institute of Mathematical Sciences (US)
- Meta (United Kingdom) (GB)
- Meta (United States) (US)
- École Polytechnique Fédérale de Lausanne (CH)
- Venue
- IEEE Signal Processing Magazine
- Published
- 2017-07
- Volume
- 34
- Issue
- 4
- Pages
- 18-42
- ISSN
- 1053-5888 (ISSN-L)
- 1558-0792
- OpenAlex
- W2558748708
- Cited by
- 3,661
- References
- 137
- Citations by year
- 2026: 350 · 2025: 412 · 2024: 388 · 2023: 428 · 2022: 462 · 2021: 567 · 2020: 493 · 2019: 353 · 2018: 181 · 2017: 25
- FWCI
- 169.40
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- IEEE Signal Processing Magazine (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion)
- Infoscience (Ecole Polytechnique Fédérale de Lausanne) (submittedVersion)
- Infoscience (Ecole Polytechnique Fédérale de Lausanne) (submittedVersion, cc-by-nc-nd)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Advanced Graph Neural Networks
- Physical Sciences › Computer Science › Computational Theory and Mathematics › Topological and Geometric Data Analysis
- Physical Sciences › Computer Science › Computer Graphics and Computer-Aided Design › 3D Shape Modeling and Analysis
- Keywords
- geometric deep learning, non-Euclidean data, graph neural networks, manifold learning, structured data, deep neural network
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