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A neural network based on SPD manifold learning for skeleton-based hand gesture recognition

arXiv 1904.12970 ↗First posted 29 Apr 2019cs.CV cs.LG cs.NEcited by 46

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Abstract (arXiv)

This paper proposes a new neural network based on SPD manifold learning for skeleton-based hand gesture recognition. Given the stream of hand's joint positions, our approach combines two aggregation processes on respectively spatial and temporal domains. The pipeline of our network architecture consists in three main stages. The first stage is based on a convolutional layer to increase the discriminative power of learned features. The second stage relies on different architectures for spatial and temporal Gaussian aggregation of joint features. The third stage learns a final SPD matrix from skeletal data. A new type of layer is proposed for the third stage, based on a variant of stochastic gradient descent on Stiefel manifolds. The proposed network is validated on two challenging datasets and shows state-of-the-art accuracies on both datasets.

Key facts. Cited by 46 papers in the map (data through 7 Oct 2026). First posted on arXiv 29 Apr 2019.

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Citing papers per year: 2021: 10; 2022: 4; 2023: 13; 2024: 8; 2025: 6; 2026: 5.

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  1. 2021GeomNet: A Neural Network Based on Riemannian Geometries of SPD Matrix Space and Cholesky Space for 3D Skeleton-Based Interaction Recognitioncited by 27
  2. 2021Transductive Few-Shot Classification on the Oblique Manifoldcited by 23
  3. 2021Vector-valued Distance and Gyrocalculus on the Space of Symmetric Positive Definite Matricescited by 22
  4. 2023Building Neural Networks on Matrix Manifolds: A Gyrovector Space Approachcited by 18
  5. 2021Decoupling and Recoupling Spatiotemporal Representation for RGB-D-based Motion Recognitioncited by 13
  6. 2023SPD-DDPM: Denoising Diffusion Probabilistic Models in the Symmetric Positive Definite Spacecited by 13
  7. 2024Matrix Manifold Neural Networks++cited by 13
  8. 2022Multi-manifold Attention for Vision Transformerscited by 12
  9. 2024In My Perspective, In My Hands: Accurate Egocentric 2D Hand Pose and Action Recognitioncited by 12
  10. 2023Riemannian Multinomial Logistics Regression for SPD Neural Networkscited by 11
  11. 2021A Two-stream Neural Network for Pose-based Hand Gesture Recognitioncited by 10
  12. 2021Deep Efficient Continuous Manifold Learning for Time Series Modelingcited by 10
34 more
  1. 2023Modeling Graphs Beyond Hyperbolic: Graph Neural Networks in Symmetric Positive Definite Matricescited by 10
  2. 2021HAN: An Efficient Hierarchical Self-Attention Network for Skeleton-Based Gesture Recognitioncited by 6
  3. 2023Ultra-Range Gesture Recognition using a Web-Camera in Human-Robot Interactioncited by 6
  4. 2024Analyzing Deep Transformer Models for Time Series Forecasting via Manifold Learningcited by 5
  5. 2026Neural Networks on Symmetric Spaces of Noncompact Typecited by 5
  6. 2023Riemannian Self-Attention Mechanism for SPD Networkscited by 4
  7. 2024Schur's Positive-Definite Network: Deep Learning in the SPD cone with structurecited by 3
  8. 2023OCHID-Fi: Occlusion-Robust Hand Pose Estimation in 3D via RF-Visioncited by 2
  9. 2024Real-Time Hand Gesture Recognition: Integrating Skeleton-Based Data Fusion and Multi-Stream CNNcited by 2
  10. 2025Action Recognition in Real-World Ambient Assisted Living Environmentcited by 2
  11. 2025Data-Free Class-Incremental Gesture Recognition with Prototype-Guided Pseudo Feature Replaycited by 2
  12. 2025DFNN: A Deep Fr'echet Neural Network Framework for Learning Metric-Space-Valued Responsescited by 2
  13. 2021Fast Monocular Hand Pose Estimation on Embedded Systemscited by 1
  14. 2021Fine-grained Hand Gesture Recognition in Multi-viewpoint Hand Hygienecited by 1
  15. 2022DreamNet: A Deep Riemannian Network based on SPD Manifold Learning for Visual Classificationcited by 1
  16. 2022Rieoptax: Riemannian Optimization in JAXcited by 1
  17. 2023mSPD-NN: A Geometrically Aware Neural Framework for Biomarker Discovery from Functional Connectomics Manifoldscited by 1
  18. 2024Boosting Gesture Recognition with an Automatic Gesture Annotation Frameworkcited by 1
  19. 2024SHARP: Segmentation of Hands and Arms by Range using Pseudo-Depth for Enhanced Egocentric 3D Hand Pose Estimation and Action Recognitioncited by 1
  20. 2025Online hand gesture recognition using Continual Graph Transformerscited by 1
  21. 2026Cov2Pose: Leveraging Spatial Covariance for Direct Manifold-aware 6-DoF Object Pose Estimationcited by 1
  22. 2021Learning Chebyshev Basis in Graph Convolutional Networks for Skeleton-based Action Recognitioncited by 0
  23. 2022Literature on Hand GESTURE Recognition using Graph based methodscited by 0
  24. 2023Faster Riemannian Newton-type Optimization by Subsampling and Cubic Regularizationcited by 0
  25. 2023Budget-Aware Graph Convolutional Network Design using Probabilistic Magnitude Pruningcited by 0
  26. 2023Human Action Recognition in Egocentric Perspective Using 2D Object and Hands Posecited by 0
  27. 2023Miniaturized Graph Convolutional Networks with Topologically Consistent Pruningcited by 0
  28. 2023One-Shot Multi-Rate Pruning of Graph Convolutional Networkscited by 0
  29. 2024Automatic Classification of Sleep Stages from EEG Signals Using Riemannian Metrics and Transformer Networkscited by 0
  30. 2025Accurate online action and gesture recognition system using detectors and Deep SPD Siamese Networkscited by 0
  31. 2025Learning Topology-Driven Multi-Subspace Fusion for Grassmannian Deep Networkcited by 0
  32. 2026E2E-GNet: An End-to-End Skeleton-based Geometric Deep Neural Network for Human Motion Recognitioncited by 0
  33. 2026ReManNet: A Riemannian Manifold Network for Monocular 3D Lane Detectioncited by 0
  34. 2026Towards Robust EEG Decoding Based on Riemannian Self-Attentioncited by 0