Zobrazeno 1 - 10
of 42
pro vyhledávání: '"Hanik, Martin"'
Publikováno v:
SIAM J. Math. Data Sci. Vol. 4, Iss. 4, pp. 1223-1249, 2022
Data sets sampled in Lie groups are widespread, and as with multivariate data, it is important for many applications to assess the differences between the sets in terms of their distributions. Indices for this task are usually derived by considering
Externí odkaz:
http://arxiv.org/abs/2402.12901
For decades, de Casteljau's algorithm has been used as a fundamental building block in curve and surface design and has found a wide range of applications in fields such as scientific computing, and discrete geometry to name but a few. With increasin
Externí odkaz:
http://arxiv.org/abs/2402.07550
We propose two graph neural network layers for graphs with features in a Riemannian manifold. First, based on a manifold-valued graph diffusion equation, we construct a diffusion layer that can be applied to an arbitrary number of nodes and graph con
Externí odkaz:
http://arxiv.org/abs/2401.14381
Autor:
Hanik, Martin, Ducke, Benjamin, Hege, Hans-Christian, Fless, Friederike, von Tycowicz, Christoph
Publikováno v:
Journal on Computing and Cultural Heritage, 16(4), pp. 1-26, 2023
This paper explores a novel mathematical approach to extract archaeological insights from ensembles of similar artifact shapes. We show that by considering all the shape information in a find collection, it is possible to identify shape patterns that
Externí odkaz:
http://arxiv.org/abs/2305.18960
Publikováno v:
Computer Aided Geometric Design, Vol. 104, pp. 102220, 2023
We propose a generic spatiotemporal framework to analyze manifold-valued measurements, which allows for employing an intrinsic and computationally efficient Riemannian hierarchical model. Particularly, utilizing regression, we represent discrete traj
Externí odkaz:
http://arxiv.org/abs/2303.17299
Publikováno v:
Shape in Medical Imaging, pp. 211-222, 2023
Predicting the future development of an anatomical shape from a single baseline observation is a challenging task. But it can be essential for clinical decision-making. Research has shown that it should be tackled in curved shape spaces, as (e.g., di
Externí odkaz:
http://arxiv.org/abs/2212.04740
Autor:
Myers, Adele, Utpala, Saiteja, Talbar, Shubham, Sanborn, Sophia, Shewmake, Christian, Donnat, Claire, Mathe, Johan, Lupo, Umberto, Sonthalia, Rishi, Cui, Xinyue, Szwagier, Tom, Pignet, Arthur, Bergsson, Andri, Hauberg, Soren, Nielsen, Dmitriy, Sommer, Stefan, Klindt, David, Hermansen, Erik, Vaupel, Melvin, Dunn, Benjamin, Xiong, Jeffrey, Aharony, Noga, Pe'er, Itsik, Ambellan, Felix, Hanik, Martin, Nava-Yazdani, Esfandiar, von Tycowicz, Christoph, Miolane, Nina
This paper presents the computational challenge on differential geometry and topology that was hosted within the ICLR 2022 workshop ``Geometric and Topological Representation Learning". The competition asked participants to provide implementations of
Externí odkaz:
http://arxiv.org/abs/2206.09048
Large longitudinal studies provide lots of valuable information, especially in medical applications. A problem which must be taken care of in order to utilize their full potential is that of correlation between intra-subject measurements taken at dif
Externí odkaz:
http://arxiv.org/abs/2202.01180
Autor:
Veldhuijzen, Ben, Veltkamp, Remco C., Ikne, Omar, Allaert, Benjamin, Wannous, Hazem, Emporio, Marco, Giachetti, Andrea, LaViola, Joseph J., Jr., He, Ruiwen, Benhabiles, Halim, Cabani, Adnane, Fleury, Anthony, Hammoudi, Karim, Gavalas, Konstantinos, Vlachos, Christoforos, Papanikolaou, Athanasios, Romanelis, Ioannis, Fotis, Vlassis, Arvanitis, Gerasimos, Moustakas, Konstantinos, Hanik, Martin, Nava-Yazdani, Esfandiar, von Tycowicz, Christoph
Publikováno v:
In Computers & Graphics October 2024 123
Publikováno v:
Brain Imaging and Behavior 16 (2022), 1123-1138
Analyzing the relation between intelligence and neural activity is of the utmost importance in understanding the working principles of the human brain in health and disease. In existing literature, functional brain connectomes have been used successf
Externí odkaz:
http://arxiv.org/abs/2106.09408