DeepSphere: towards an equivariant graph-based spherical CNN
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Abstract (arXiv)
Spherical data is found in many applications. By modeling the discretized sphere as a graph, we can accommodate non-uniformly distributed, partial, and changing samplings. Moreover, graph convolutions are computationally more efficient than spherical convolutions. As equivariance is desired to exploit rotational symmetries, we discuss how to approach rotation equivariance using the graph neural network introduced in Defferrard et al. (2016). Experiments show good performance on rotation-invariant learning problems. Code and examples are available at https://github.com/SwissDataScienceCenter/DeepSphere
Key facts. Cited by 13 papers in the map (data through 7 Oct 2026). First posted on arXiv 8 Apr 2019.
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Citing papers per year: 2021: 6; 2022: 2; 2023: 1; 2024: 2; 2025: 1; 2026: 1.
13 papers.
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- 2022GNN-Surrogate: A Hierarchical and Adaptive Graph Neural Network for Parameter Space Exploration of Unstructured-Mesh Ocean Simulationscited by 32
- 2021Pseudo-Riemannian Graph Convolutional Networkscited by 30
- 2021Curvature Graph Neural Networkcited by 24
- 2021Group Equivariant Conditional Neural Processescited by 16
- 2022Curvature Graph Generative Adversarial Networkscited by 9
- 2021Single-Shot Cuboids: Geodesics-based End-to-end Manhattan Aligned Layout Estimation from Spherical Panoramascited by 7
- 2023Graph-Based Deep Learning for Sea Surface Temperature Forecastscited by 3
- 2024Current Symmetry Group Equivariant Convolution Frameworks for Representation Learningcited by 2
- 2021Hermitian Symmetric Spaces for Graph Embeddingscited by 0
- 2021Gaussian map predictions for 3D surface feature localisation and countingcited by 0
- 2024Advancing Marine Heatwave Forecasts: An Integrated Deep Learning Approachcited by 0
- 2025PR-CapsNet: Pseudo-Riemannian Capsule Network with Adaptive Curvature Routing for Graph Learningcited by 0
- 2026Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples7 Aug 2026
- 2025PR-CapsNet: Pseudo-Riemannian Capsule Network with Adaptive Curvature Routing for Graph Learning9 Dec 2025
- 2024Advancing Marine Heatwave Forecasts: An Integrated Deep Learning Approach19 Nov 2024
- 2024Current Symmetry Group Equivariant Convolution Frameworks for Representation Learning11 Sep 2024
- 2023Graph-Based Deep Learning for Sea Surface Temperature Forecasts3 Apr 2023
- 2022Curvature Graph Generative Adversarial Networks3 Mar 2022
- 2022GNN-Surrogate: A Hierarchical and Adaptive Graph Neural Network for Parameter Space Exploration of Unstructured-Mesh Ocean Simulations18 Feb 2022
- 2021Gaussian map predictions for 3D surface feature localisation and counting7 Dec 2021
- 2021Curvature Graph Neural Network30 Jun 2021
- 2021Pseudo-Riemannian Graph Convolutional Networks6 Jun 2021
- 2021Hermitian Symmetric Spaces for Graph Embeddings11 May 2021
- 2021Group Equivariant Conditional Neural Processes17 Feb 2021
- 2022GNN-Surrogate: A Hierarchical and Adaptive Graph Neural Network for Parameter Space Exploration of Unstructured-Mesh Ocean Simulationscited by 32
- 2021Pseudo-Riemannian Graph Convolutional Networkscited by 30
- 2021Curvature Graph Neural Networkcited by 24
- 2021Group Equivariant Conditional Neural Processescited by 16
- 2022Curvature Graph Generative Adversarial Networkscited by 9
- 2021Single-Shot Cuboids: Geodesics-based End-to-end Manhattan Aligned Layout Estimation from Spherical Panoramascited by 7
- 2023Graph-Based Deep Learning for Sea Surface Temperature Forecastscited by 3
- 2024Current Symmetry Group Equivariant Convolution Frameworks for Representation Learningcited by 2
- 2021Hermitian Symmetric Spaces for Graph Embeddingscited by 0
- 2021Gaussian map predictions for 3D surface feature localisation and countingcited by 0
- 2024Advancing Marine Heatwave Forecasts: An Integrated Deep Learning Approachcited by 0
- 2025PR-CapsNet: Pseudo-Riemannian Capsule Network with Adaptive Curvature Routing for Graph Learningcited by 0
12 most cited of 13 All 13 (JSON)
- 2026Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples7 Aug 2026
- 2025PR-CapsNet: Pseudo-Riemannian Capsule Network with Adaptive Curvature Routing for Graph Learning9 Dec 2025
- 2024Advancing Marine Heatwave Forecasts: An Integrated Deep Learning Approach19 Nov 2024
- 2024Current Symmetry Group Equivariant Convolution Frameworks for Representation Learning11 Sep 2024
- 2023Graph-Based Deep Learning for Sea Surface Temperature Forecasts3 Apr 2023
- 2022Curvature Graph Generative Adversarial Networks3 Mar 2022
- 2022GNN-Surrogate: A Hierarchical and Adaptive Graph Neural Network for Parameter Space Exploration of Unstructured-Mesh Ocean Simulations18 Feb 2022
- 2021Gaussian map predictions for 3D surface feature localisation and counting7 Dec 2021
- 2021Curvature Graph Neural Network30 Jun 2021
- 2021Pseudo-Riemannian Graph Convolutional Networks6 Jun 2021
- 2021Hermitian Symmetric Spaces for Graph Embeddings11 May 2021
- 2021Group Equivariant Conditional Neural Processes17 Feb 2021
12 newest of 13 All 13 (JSON)