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We investigate learning of the differential geometric structure of a data manifold embedded in a high-dimensional Euclidean space. We first analyze kernel-based algorithms and show that under the usual regularizations, non-probabilistic…

Machine Learning · Statistics 2019-09-27 Søren Hauberg

The last decade has witnessed an experimental revolution in data science and machine learning, epitomised by deep learning methods. Indeed, many high-dimensional learning tasks previously thought to be beyond reach -- such as computer…

Machine Learning · Computer Science 2021-05-04 Michael M. Bronstein , Joan Bruna , Taco Cohen , Petar Veličković

In recent years, with the rapid development of computer information technology, the development of artificial intelligence has been accelerating. The traditional geometry recognition technology is relatively backward and the recognition…

Computer Vision and Pattern Recognition · Computer Science 2024-04-26 Ruiyang Wang , Haonan Wang , Junfeng Sun , Mingjia Zhao , Meng Liu

Feature descriptors play a crucial role in a wide range of geometry analysis and processing applications, including shape correspondence, retrieval, and segmentation. In this paper, we introduce Geodesic Convolutional Neural Networks…

Computer Vision and Pattern Recognition · Computer Science 2018-06-11 Jonathan Masci , Davide Boscaini , Michael M. Bronstein , Pierre Vandergheynst

This paper addresses the challenge of navigation in large, visually complex environments with sparse rewards. We propose a method that uses object-oriented macro actions grounded in a topological map, allowing a simple Deep Q-Network (DQN)…

Machine Learning · Computer Science 2025-04-28 Simon Hakenes , Tobias Glasmachers

Images of heavily occluded objects in cluttered scenes, such as fruit clusters in trees, are hard to segment. To further retrieve the 3D size and 6D pose of each individual object in such cases, bounding boxes are not reliable from multiple…

Computer Vision and Pattern Recognition · Computer Science 2021-02-24 Wenbo Dong , Pravakar Roy , Cheng Peng , Volkan Isler

The Euclid mission is generating a vast amount of imaging data in four broadband filters at high angular resolution. This will allow the detailed study of mass, metallicity, and stellar populations across galaxies, which will constrain…

Astrophysics of Galaxies · Physics 2025-04-09 Euclid Collaboration , I. Kovačić , M. Baes , A. Nersesian , N. Andreadis , L. Nemani , Abdurro'uf , L. Bisigello , M. Bolzonella , C. Tortora , A. van der Wel , S. Cavuoti , C. J. Conselice , A. Enia , L. K. Hunt , P. Iglesias-Navarro , E. Iodice , J. H. Knapen , F. R. Marleau , O. Müller , R. F. Peletier , J. Román , R. Ragusa , P. Salucci , T. Saifollahi , M. Scodeggio , M. Siudek , T. De Waele , A. Amara , S. Andreon , N. Auricchio , C. Baccigalupi , M. Baldi , S. Bardelli , P. Battaglia , R. Bender , C. Bodendorf , D. Bonino , W. Bon , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , V. Capobianco , C. Carbone , J. Carretero , S. Casas , F. J. Castander , M. Castellano , G. Castignani , A. Cimatti , C. Colodro-Conde , G. Congedo , L. Conversi , Y. Copin , F. Courbin , H. M. Courtois , A. Da Silva , H. Degaudenzi , G. De Lucia , A. M. Di Giorgio , J. Dinis , M. Douspis , F. Dubath , X. Dupac , S. Dusini , A. Ealet , M. Farina , S. Farrens , F. Faustini , S. Ferriol , P. Fosalba , M. Frailis , E. Franceschi , S. Galeotta , B. Gillis , C. Giocoli , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , W. Holmes , I. Hook , F. Hormuth , A. Hornstrup , K. Jahnke , M. Jhabvala , B. Joachimi , E. Keihänen , S. Kermiche , A. Kiessling , M. Kilbinger , B. Kubik , K. Kuijken , M. Kümmel , M. Kunz , H. Kurki-Suonio , S. Ligori , P. B. Lilje , V. Lindholm , I. Lloro , D. Maino , E. Maiorano , O. Mansutti , S. Marcin , O. Marggraf , K. Markovic , M. Martinelli , N. Martinet , F. Marulli , R. Massey , E. Medinaceli , S. Mei , M. Melchior , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , M. Moresco , L. Moscardini , S. -M. Niemi , J. W. Nightingale , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , L. Pozzetti , F. Raison , R. Rebolo , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , Z. Sakr , A. G. Sánchez , D. Sapone , B. Sartoris , M. Schirmer , P. Schneider , T. Schrabback , A. Secroun , G. Seidel , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , J. Steinwagner , P. Tallada-Crespí , D. Tavagnacco , A. N. Taylor , H. I. Teplitz , I. Tereno , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , L. Valenziano , T. Vassallo , G. Verdoes Kleijn , A. Veropalumbo , Y. Wang , J. Weller , A. Zacchei , G. Zamorani , E. Zucca , A. Biviano , E. Bozzo , C. Burigana , M. Calabrese , D. Di Ferdinando , J. A. Escartin Vigo , F. Finelli , J. Gracia-Carpio , S. Matthew , N. Mauri , M. Pöntinen , V. Scottez , M. Tenti , M. Viel , M. Wiesmann , Y. Akrami , V. Allevato , S. Alvi , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , M. Ballardini , M. Bethermin , L. Blot , S. Borgani , S. Bruton , R. Cabanac , A. Calabro , B. Camacho Quevedo , G. Cañas-Herrera , A. Cappi , F. Caro , C. S. Carvalho , T. Castro , K. C. Chambers , T. Contini , A. R. Cooray , O. Cucciati , G. Desprez , A. Díaz-Sánchez , J. J. Diaz , S. Di Domizio , H. Dole , S. Escoffier , A. G. Ferrari , P. G. Ferreira , I. Ferrero , A. Finoguenov , A. Fontana , F. Fornari , L. Gabarra , K. Ganga , J. García-Bellido , T. Gasparetto , V. Gautard , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , C. M. Gutierrez , A. Hall , S. Hemmati , H. Hildebrandt , J. Hjorth , A. Jimenez Muñoz , J. J. E. Kajava , V. Kansal , D. Karagiannis , C. C. Kirkpatrick , A. M. C. Le Brun , J. Le Graet , J. Lesgourgues , T. I. Liaudat , A. Loureiro , J. Macias-Perez , G. Maggio , M. Magliocchetti , F. Mannucci , R. Maoli , J. Martín-Fleitas , C. J. A. P. Martins , L. Maurin , R. B. Metcalf , M. Miluzio , P. Monaco , A. Montoro , A. Mora , C. Moretti , G. Morgante , Nicholas A. Walton , L. Patrizii , V. Popa , D. Potter , I. Risso , P. -F. Rocci , M. Sahlén , E. Sarpa , C. Scarlata , A. Schneider , M. Sereno , F. Shankar , P. Simon , A. Spurio Mancini , J. Stadel , S. A. Stanford , K. Tanidis , C. Tao , G. Testera , R. Teyssier , S. Toft , S. Tosi , A. Troja , M. Tucci , C. Valieri , J. Valiviita , D. Vergani , G. Verza , P. Vielzeuf

Geometric Deep Learning techniques have become a transformative force in the field of Computer-Aided Design (CAD), and have the potential to revolutionize how designers and engineers approach and enhance the design process. By harnessing…

Computational Geometry · Computer Science 2025-07-08 Negar Heidari , Alexandros Iosifidis

Deep learning has enabled remarkable improvements in grasp synthesis for previously unseen objects from partial object views. However, existing approaches lack the ability to explicitly reason about the full 3D geometry of the object when…

Robotics · Computer Science 2020-03-19 Mark Van der Merwe , Qingkai Lu , Balakumar Sundaralingam , Martin Matak , Tucker Hermans

Many problems in Euclidean geometry, arising in computational design and fabrication, amount to a system of constraints, which is challenging to solve. We suggest a new general approach to the solution, which is to start with analogous…

Computational Geometry · Computer Science 2025-06-03 Khusrav Yorov , Bolun Wang , Mikhail Skopenkov , Helmut Pottmann , Caigui Jiang

Stress prediction in porous materials and structures is challenging due to the high computational cost associated with direct numerical simulations. Convolutional Neural Network (CNN) based architectures have recently been proposed as…

Computational Engineering, Finance, and Science · Computer Science 2023-11-07 Vasilis Krokos , Stéphane P. A. Bordas , Pierre Kerfriden

Image feature matching is a fundamental part of many geometric computer vision applications, and using multiple images can improve performance. In this work, we formulate multi-image matching as a graph embedding problem then use a Graph…

Computer Vision and Pattern Recognition · Computer Science 2019-01-09 Stephen Phillips , Kostas Daniilidis

Sketch-based modeling strives to bring the ease and immediacy of drawing to the 3D world. However, while drawings are easy for humans to create, they are very challenging for computers to interpret due to their sparsity and ambiguity. We…

Graphics · Computer Science 2018-06-20 Johanna Delanoy , Mathieu Aubry , Phillip Isola , Alexei A. Efros , Adrien Bousseau

Aerodynamic shape optimization has many industrial applications. Existing methods, however, are so computationally demanding that typical engineering practices are to either simply try a limited number of hand-designed shapes or restrict…

Computational Engineering, Finance, and Science · Computer Science 2018-02-13 Pierre Baqué , Edoardo Remelli , François Fleuret , Pascal Fua

While most current RGB-D-based category-level object pose estimation methods achieve strong performance, they face significant challenges in scenes lacking depth information. In this paper, we propose a novel category-level object pose…

Computer Vision and Pattern Recognition · Computer Science 2025-08-20 Sheng Yu , Di-Hua Zhai , Yuanqing Xia

How to use multiple optical satellite images to recover the 3D scene structure is a challenging and important problem in the remote sensing field. Most existing methods in literature have been explored based on the classical RPC (rational…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Pinhe Wang , Limin Shi , Bao Chen , Zhanyi Hu , Qiulei Dong , Jianzhong Qiao

In this paper, a deep convolutional neural network architecture for galaxies classification is presented. The galaxy can be classified based on its features into main three categories Elliptical, Spiral, and Irregular. The proposed deep…

Computer Vision and Pattern Recognition · Computer Science 2017-09-08 Nour Eldeen M. Khalifa , Mohamed Hamed N. Taha , Aboul Ella Hassanien , I. M. Selim

This paper presents an efficient neural network model to generate robotic grasps with high resolution images. The proposed model uses fully convolution neural network to generate robotic grasps for each pixel using 400 $\times$ 400 high…

Robotics · Computer Science 2023-04-06 Shengfan Wang , Xin Jiang , Jie Zhao , Xiaoman Wang , Weiguo Zhou , Yunhui Liu

Vision-based localization of an agent in a map is an important problem in robotics and computer vision. In that context, localization by learning matchable image features is gaining popularity due to recent advances in machine learning.…

Computer Vision and Pattern Recognition · Computer Science 2020-03-24 Janine Thoma , Danda Pani Paudel , Ajad Chhatkuli , Luc Van Gool

We propose a metric learning framework for the construction of invariant geometric functions of planar curves for the Eucledian and Similarity group of transformations. We leverage on the representational power of convolutional neural…

Computer Vision and Pattern Recognition · Computer Science 2017-02-20 Gautam Pai , Aaron Wetzler , Ron Kimmel