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SplineCNN: Fast Geometric Deep Learning With Continuous B-Spline Kernels

CVPR 2018 · Graph learning › GNN architectures · approach: Theory of graph convolutional networks · 460 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use SplineCNN instead of MoNetMNIST superpixel classification · MNIST superpixelsclassification accuracy: 91.11% -> 95.22%; 4.11 percentage pointsHelped
use SplineCNN instead of LeNet5 or MoNetMNIST grid classification · MNIST gridclassification accuracy: 99.33% vs 99.22%; 99.19% vs 99.22%No clear effect
use SplineCNN instead of the strongest listed baseline, CayleyNetCora node classification · Coraaccuracy: 87.90 ± 0.66 -> 89.48 ± 0.31; approximately 1.58 percentage pointsHelped
use SplineCNN for correspondence predictionFAUST shape correspondence · FAUST testzero geodesic error predictions: 99.20 %Helped
use SplineCNN with cross-entropy loss rather than FMNet's specialized soft error lossFAUST shape correspondence · FAUST testaccuracy at larger geodesic error boundsHurt
use Cartesian coordinates and a lower B-spline degree (ablation)SplineCNN · MNIST superpixelsclassification accuracyHelped
use Cartesian coordinates and a lower B-spline degree (ablation)SplineCNN · FAUST shape correspondencegeodesic correspondence accuracyHelped
increase network depth beyond the task's six convolutional layers (ablation)SplineCNN · FAUST shape correspondenceaccuracyNo clear effect

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