Parallel Transport Convolution: Deformable Convolutional Networks on Manifold-Structured Data

DOI10.1137/21M1407616WikidataQ114615448 ScholiaQ114615448MaRDI QIDQ5863517

Bin Dong, Stefan C. Schonsheck, Rongjie Lai

Publication date: 1 June 2022

Published in: SIAM Journal on Imaging Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.07857

zbMATH Keywords

parallel transportshape analysismanifold learningconvolution neural networks

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Machine vision and scene understanding (68T45)

Uses Software

• OverFeat
• ImageNet
• Adam
• AlexNet
• PFCNN

Cites Work

• A local mesh method for solving PDEs on point clouds
• Wavelets on graphs via spectral graph theory
• Vertex-frequency analysis on graphs
• Sparse representation on graphs by tight wavelet frames and applications
• Spaces of relative parallelism
• Ten Lectures on Wavelets
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