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Spherical equivariant graph neural networks (EGNNs) provide a principled framework for learning on three-dimensional molecular and biomolecular systems, where predictions must respect the rotational symmetries inherent in physics. These…

Machine Learning · Computer Science 2025-12-17 Sophia Tang

Graph Convolutional Neural Networks (GCNNs) are the most recent exciting advancement in deep learning field and their applications are quickly spreading in multi-cross-domains including bioinformatics, chemoinformatics, social networks,…

Machine Learning · Statistics 2018-08-28 Saurabh Verma , Zhi-Li Zhang

We present a new neural network approach for deblending galaxy images in astronomical data using Residual Dense Neural network (RDN) architecture. We train the network on synthetic galaxy images similar to the typical arrangements of field…

Astrophysics of Galaxies · Physics 2022-10-12 Hong Wang , Sreevarsha Sreejith , Anže Slosar , Yuewei Lin , Shinjae Yoo

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

The weight-sharing mechanism of convolutional kernels ensures translation-equivariance of convolution neural networks (CNNs). Recently, rotation-equivariance has been investigated. However, research on scale-equivariance or simultaneous…

Computer Vision and Pattern Recognition · Computer Science 2023-06-13 Wei-Dong Qiao , Yang Xu , Hui Li

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

Automatic tumor or lesion segmentation is a crucial step in medical image analysis for computer-aided diagnosis. Although the existing methods based on Convolutional Neural Networks (CNNs) have achieved the state-of-the-art performance,…

Image and Video Processing · Electrical Eng. & Systems 2022-08-01 Shuchao Pang , Anan Du , Mehmet A. Orgun , Yan Wang , Quan Z. Sheng , Shoujin Wang , Xiaoshui Huang , Zhenmei Yu

We present e3nn, a generalized framework for creating E(3) equivariant trainable functions, also known as Euclidean neural networks. e3nn naturally operates on geometry and geometric tensors that describe systems in 3D and transform…

Machine Learning · Computer Science 2022-07-21 Mario Geiger , Tess Smidt

To date, galaxy image simulations for weak lensing surveys usually approximate the light profiles of all galaxies as a single or double S\'ersic profile, neglecting the influence of galaxy substructures and morphologies deviating from such…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-09 Euclid Collaboration , B. Csizi , T. Schrabback , S. Grandis , H. Hoekstra , H. Jansen , L. Linke , G. Congedo , A. N. Taylor , A. Amara , S. Andreon , C. Baccigalupi , M. Baldi , S. Bardelli , P. Battaglia , R. Bender , A. Biviano , C. Bodendorf , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , S. Camera , G. Cañas-Herrera , V. Capobianco , C. Carbone , J. Carretero , S. Casas , F. J. Castander , M. Castellano , G. Castignani , S. Cavuoti , K. C. Chambers , A. Cimatti , C. Colodro-Conde , C. J. Conselice , L. Conversi , Y. Copin , F. Courbin , H. M. Courtois , M. Cropper , A. Da Silva , H. Degaudenzi , G. De Lucia , J. Dinis , H. Dole , M. Douspis , F. Dubath , X. Dupac , S. Dusini , S. Escoffier , M. Farina , R. Farinelli , S. Farrens , F. Faustini , S. Ferriol , S. Fotopoulou , M. Frailis , E. Franceschi , S. Galeotta , B. Gillis , C. Giocoli , J. Gracia-Carpio , A. Grazian , F. Grupp , L. Guzzo , S. V. H. Haugan , W. Holmes , I. Hook , F. Hormuth , A. Hornstrup , P. Hudelot , S. Ilić , 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 , A. M. C. Le Brun , 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 , G. Meylan , A. Mora , M. Moresco , L. Moscardini , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , E. Rossetti , R. Saglia , Z. Sakr , A. G. Sánchez , B. Sartoris , P. Schneider , A. Secroun , G. Seidel , S. Serrano , P. Simon , C. Sirignano , G. Sirri , A. Spurio Mancini , L. Stanco , J. Steinwagner , P. Tallada-Crespí , D. Tavagnacco , H. I. Teplitz , I. Tereno , N. Tessore , S. Toft , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , E. A. Valentijn , L. Valenziano , J. Valiviita , T. Vassallo , G. Verdoes Kleijn , A. Veropalumbo , Y. Wang , J. Weller , G. Zamorani , E. Zucca , M. Bolzonella , E. Bozzo , C. Burigana , M. Calabrese , D. Di Ferdinando , J. A. Escartin Vigo , S. Matthew , N. Mauri , A. Pezzotta , M. Pöntinen , V. Scottez , M. Tenti , M. Viel , M. Wiesmann , Y. Akrami , V. Allevato , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , M. Ballardini , A. Blanchard , L. Blot , S. Borgani , S. Bruton , R. Cabanac , A. Calabro , A. Cappi , F. Caro , C. S. Carvalho , T. Castro , S. Contarini , A. R. Cooray , G. Desprez , A. Díaz-Sánchez , J. J. Diaz , S. Di Domizio , A. G. Ferrari , P. G. Ferreira , I. Ferrero , A. Finoguenov , A. Fontana , F. Fornari , L. Gabarra , K. Ganga , J. García-Bellido , T. Gasparetto , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , C. M. Gutierrez , A. Hall , H. Hildebrandt , J. Hjorth , A. Jimenez Muñoz , S. Joudaki , J. J. E. Kajava , V. Kansal , D. Karagiannis , C. C. Kirkpatrick , J. Le Graet , L. Legrand , J. Lesgourgues , T. I. Liaudat , A. Loureiro , J. Macias-Perez , G. Maggio , M. Magliocchetti , C. Mancini , F. Mannucci , R. Maoli , J. Martín-Fleitas , C. J. A. P. Martins , L. Maurin , R. B. Metcalf , M. Miluzio , P. Monaco , A. Montoro , C. Moretti , G. Morgante , Nicholas A. Walton , L. Pagano , L. Patrizii , V. Popa , D. Potter , I. Risso , P. -F. Rocci , M. Sahlén , E. Sarpa , A. Schneider , M. Sereno , J. Stadel , K. Tanidis , C. Tao , G. Testera , R. Teyssier , S. Tosi , A. Troja , M. Tucci , C. Valieri , D. Vergani , G. Verza , P. Vielzeuf

The rapid data surge from the high-luminosity Large Hadron Collider introduces critical computational challenges requiring novel approaches for efficient data processing in particle physics. Quantum machine learning, with its capability to…

Machine Learning · Computer Science 2025-04-29 Md Abrar Jahin , Md. Akmol Masud , Md Wahiduzzaman Suva , M. F. Mridha , Nilanjan Dey

Downsampling layers are crucial building blocks in CNN architectures, which help to increase the receptive field for learning high-level features and reduce the amount of memory/computation in the model. In this work, we study the…

Machine Learning · Computer Science 2025-04-25 Md Ashiqur Rahman , Raymond A. Yeh

Graph convolutional networks (GCNs) are widely used in graph-based applications such as graph classification and segmentation. However, current GCNs have limitations on implementation such as network architectures due to their irregular…

Computer Vision and Pattern Recognition · Computer Science 2021-05-25 Yecheng Lyu , Xinming Huang , Ziming Zhang

Graph neural networks (GNNs), has been widely used for supervised learning tasks in graphs reaching state-of-the-art results. However, little work was dedicated to creating unbiased GNNs, i.e., where the classification is uncorrelated with…

Machine Learning · Computer Science 2021-08-20 Uriel Singer , Kira Radinsky

Graph Convolutional Networks (GCNs) are a class of general models that can learn from graph structured data. Despite being general, GCNs are admittedly inferior to convolutional neural networks (CNNs) when applied to vision tasks, mainly…

Computer Vision and Pattern Recognition · Computer Science 2019-07-23 Boris Knyazev , Xiao Lin , Mohamed R. Amer , Graham W. Taylor

Galaxy morphology classification plays a crucial role in understanding the structure and evolution of the universe. With galaxy observation data growing exponentially, machine learning has become a core technology for this classification…

Astrophysics of Galaxies · Physics 2025-05-29 Zhijian Luo , Jianzhen Chen , Zhu Chen , Shaohua Zhang , Liping Fu , Hubing Xiao , Chenggang Shu

In this study, we present the Graph Sub-Graph Network (GSN), a novel hybrid image classification model merging the strengths of Convolutional Neural Networks (CNNs) for feature extraction and Graph Neural Networks (GNNs) for structural…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Aryan Singh , Pepijn Van de Ven , Ciarán Eising , Patrick Denny

Graph Neural Networks (GNNs) have achieved promising performance in semi-supervised node classification in recent years. However, the problem of insufficient supervision, together with representation collapse, largely limits the performance…

Machine Learning · Computer Science 2025-03-07 Xihong Yang , Yiqi Wang , Yue Liu , Yi Wen , Lingyuan Meng , Sihang Zhou , Xinwang Liu , En Zhu

Graph Neural Networks (graph NNs) are a promising deep learning approach for analyzing graph-structured data. However, it is known that they do not improve (or sometimes worsen) their predictive performance as we pile up many layers and add…

Machine Learning · Computer Science 2021-01-07 Kenta Oono , Taiji Suzuki

Deep generative models are increasingly used for molecular discovery, with most recent approaches relying on equivariant graph neural networks (GNNs) under the assumption that explicit equivariance is essential for generating high-quality…

Machine Learning · Computer Science 2025-07-15 Ewa M. Nowara , Joshua Rackers , Patricia Suriana , Pan Kessel , Max Shen , Andrew Martin Watkins , Michael Maser

The classification of galaxy morphology is a hot issue in astronomical research. Although significant progress has been made in the last decade in classifying galaxy morphology using deep learning technology, there are still some…

Astrophysics of Galaxies · Physics 2023-05-31 Guangping Li , Tingting Xu , Liping Li , Xianjun Gao , Zhijing Liu , Jie Cao , Mingcun Yang , Weihong Zhou