Zilverling

G. Pai PhD (Gautam)

Assistant Professor
EEMCS-AM-MIA
Zilverling 2051
g.pai@utwente.nl
+31534896931
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I am an Assistant Professor in the Mathematics of Imaging & AI group (DAMUT-EEMCS) at the University of Twente. My research interests broadly span different aspects of geometry in computer vision and machine learning. I am particularly interested in the applications of spectral and metric geometry for shape analysis, unsupervised learning, and image processing.

Previously, I was a postdoctoral researcher at École Polytechnique - Paris, and at TU/e - Eindhoven and did my PhD at Technion - Haifa

Expertise

  • Mathematics

    • Deep Learning Method
    • Neural Network
    • Convolutional Neural Network
    • PDE

  • Computer Science

    • Shape Correspondence
    • Manifold Learning

  • Engineering

    • Partial Differential Equation
    • Sparse Approximation

Organisations

The guiding theme of my research is the interplay between Geometry, Numerical Algorithms, and Machine Learning. I develop solutions for computational problems from different geometric modalities: images, graphs, and discrete representations of geometric shapes like 3D meshes and point clouds. Recent advances in deep learning provide compelling tools with neural networks to generate state-of-the-art performance for multiple challenges in image and geometry processing. However, despite this progress, they are generally considered to lack mathematical intuition and often demand significant amounts of clean, annotated training data for learning acceptable models. My research aspires to address these shortcomings by establishing a more meaningful merger between mathematically precise algorithms on one end, and data-intensive learning methods on the other. Therefore, besides improving performance, I aspire to improve mathematical interpretability and data efficiency in computational models. You can find some topics of my current interests in an Overview and, my papers with links to all details in Publications

Publications

2025

Entropic Optimal Transport with Data-Driven Metrics on the Roto-Translation Group (2025)In Scale Space and Variational Methods in Computer Vision: 10th International Conference, SSVM 2025, Dartington, UK, May 18–22, 2025, Proceedings, Part II (pp. 350-363) (Lecture Notes in Computer Science; Vol. 15668). Springer. Pai, G., Bellaard, G., Sengers, R., Florack, L. & Duits, R.https://doi.org/10.1007/978-3-031-92369-2_27Loss function inversion for improved crack segmentation in steel bridges using a CNN framework (2025)Automation in construction, 170. Article 105896. Kompanets, A., Duits, R., Pai, G., Leonetti, D. & Snijder, H. H.https://doi.org/10.1016/j.autcon.2024.105896Optimal Transport on the Lie Group of Roto-translations (2025)SIAM journal on imaging sciences, 18(2), 789-821. Bon, D., Pai, G., Bellaard, G., Mula, O. & Duits, R.https://doi.org/10.1137/24M1641531

2024

Geodesic Tracking via New Data-Driven Connections of Cartan Type for Vascular Tree Tracking (2024)Journal of Mathematical Imaging and Vision, 66(2), 198-230. van den Berg, N. J., Smets, B. M. N., Pai, G., Mirebeau, J.-M. & Duits, R.https://doi.org/10.1007/s10851-023-01170-x

2023

Analysis of (sub-)Riemannian PDE-G-CNNs (2023)Journal of Mathematical Imaging and Vision, 65(6), 819-843. Bellaard, G., Bon, D. L. J., Pai, G., Smets, B. M. N. & Duits, R.https://doi.org/10.1007/s10851-023-01147-wFunctional Properties of PDE-Based Group Equivariant Convolutional Neural Networks: 6th International Conference on Geometric Science of Information, GSI 2023 (2023)[Other contribution › Other contribution]. Springer. Pai, G., Bellaard, G., Smets, B. M. N., Duits, R., Nielsen, F. & Barbaresco, F.https://doi.org/10.1007/978-3-031-38271-0_7Geometric Adaptations of PDE-G-CNNs (2023)In Scale Space and Variational Methods in Computer Vision: 9th International Conference, SSVM 2023, Santa Margherita di Pula, Italy, May 21–25, 2023, Proceedings (pp. 538-550). Springer. Bellaard, G., Pai, G., Oliván Bescós, J., Duits, R., Calatroni, L., Donatelli, M., Morigi, S., Prato, M. & Santacesaria, M.https://doi.org/10.1007/978-3-031-31975-4_41

2022

Deep Isometric Maps (2022)Image and vision computing, 123. Article 104461. Pai, G., Bronstein, A., Talmon, R. & Kimmel, R.https://doi.org/10.1016/j.imavis.2022.104461Implicit field supervision for robust non-rigid shape matching (2022)In European Conference on Computer Vision (pp. 344-362). Sundararaman, R., Pai, G. & Ovsjanikov, M.

Research profiles

Address

University of Twente

Zilverling (building no. 11), room 2051
Hallenweg 19
7522 NH Enschede
Netherlands

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Organisations

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