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Home Research Manifold-Valued Graph Neural Networks

Manifold-Valued Graph Neural Networks

Geometry-aware, data-analytic approaches improve understanding and assessment of pathophysiological processes. We will derive a new theoretical framework for deep neural networks that can cope with geometric data and apply it for classification of musculoskeletal illness from both shape and movement patterns.

Manifold-Valued Graph Neural Networks
Group
Geometric Data Analysis and Processing
Heads
von Tycowicz, Christoph, Dr.
Members
Hanik, Martin, Dr.
Ambellan, Felix, Dr.
Partners
Gabriele Steidl (co-PI @ TU Berlin)
Links
MATH+ project page

Publications

2024
De Casteljau's Algorithm in Geometric Data Analysis: Theory and Application Computer Aided Geometric Design, Vol.110, p. 102288, 2024 Martin Hanik, Esfandiar Navayazdani, Christoph von Tycowicz BibTeX
arXiv
DOI
Joint Reconstruction and Segmentation in Undersampled 3D Knee MRI combining Shape Knowledge and Deep Learning Physics in Medicine and Biology, 69(9), 2024 Andreas Kofler, Christian Wald, Christoph Kolbitsch, Christoph von Tycowicz, Felix Ambellan PDF
BibTeX
DOI
Manifold GCN: Diffusion-based Convolutional Neural Network for Manifold-valued Graphs 2024 (under review) Martin Hanik, Gabriele Steidl, Christoph von Tycowicz BibTeX
arXiv
SHREC 2024: Recognition Of Dynamic Hand Motions Molding Clay Computers & Graphics, Vol.123, p. 104012, 2024 Ben Veldhuijzen, Remco C. Veltkamp, Omar Ikne, Benjamin Allaert, Hazem Wannous, Marco Emporio, Andrea Giachetti, Joseph J. LaViola Jr, Ruiwen He, Halim Benhabiles, Adnane Cabani, Anthony Fleury, Karim Hammoudi, Konstantinos Gavalas, Christoforos Vlachos, Athanasios Papanikolaou, Ioannis Romanelis, Vlassis Fotis, Gerasimos Arvanitis, Konstantinos Moustakas, Martin Hanik, Esfandiar Nava-Yazdani, Christoph von Tycowicz BibTeX
DOI
2023
Geometric Data Analysis: Advancements of the Statistical Methodology and Applications Doctoral thesis, Freie Universität Berlin, Christof Schütte, Christoph von Tycowicz (Advisors), 2023 Martin Hanik PDF
BibTeX
DOI
URN
Predicting Shape Development: A Riemannian Method Shape in Medical Imaging, pp. 211-222, 2023 Doğa Türkseven, Islem Rekik, Christoph von Tycowicz, Martin Hanik BibTeX
arXiv
DOI
2022
Predicting cognitive scores with graph neural networks through sample selection learning Brain Imaging and Behavior, Vol.16, pp. 1123-1138, 2022 Martin Hanik, Mehmet Arif Demirtaş, Mohammed Amine Gharsallaoui, Islem Rekik BibTeX
arXiv
DOI
SHREC 2022 Track on Online Detection of Heterogeneous Gestures Computers and Graphics, Vol.107, pp. 241-251, 2022 Ariel Caputo, Marco Emporio, Andrea Giachetti, Marco Cristani, Guido Borghi, Andrea D'Eusanio, Minh-Quan Le, Hai-Dang Nguyen, Minh-Triet Tran, Felix Ambellan, Martin Hanik, Esfandiar Navayazdani, Christoph von Tycowicz BibTeX
arXiv
DOI
2021
SHREC 2021: Retrieval of Cultural Heritage Objects Computers and Graphics, Vol.100, pp. 1-20, 2021 Ivan Sipiran, Patrick Lazo, Cristian Lopez, Nihar Bagewadi, Benjamin Bustos, Hieu Dao, Shankar Gangisetty, Martin Hanik, Ngoc-Phuong Ho-Thi, Mike Holenderski, Dmitri Jarnikov, Arniel Labrada, Stefan Lengauer, Roxane Licandro, Dinh-Huan Nguyen, Thang-Long Nguyen-Ho, Luis A. Pérez Rey, Bang-Dang Pham, Minh-Khoi Pham, Reinhold Preiner, Tobias Schreck, Quoc-Huy Trinh, Loek Tonnaer, Christoph von Tycowicz, The-Anh Vu-Le BibTeX
DOI
2020
Towards Shape-based Knee Osteoarthritis Classification using Graph Convolutional Networks 2020 IEEE 17th International Symposium on Biomedical Imaging (ISBI 2020), 2020 Christoph von Tycowicz BibTeX
arXiv
DOI