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Robustifying Generalizable Implicit Shape Networks with a Tunable Non-Parametric Model

NeurIPS 2023 · Point clouds › Shape and surface completion · approach: Unsupervised shape correspondence · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
replace Euclidean-space regression (Fourier encoding) with regression in network feature space (ablation)Ours (m=500) · ShapeNet LampIoU: 0.45 -> 0.87Helped
learn kernel hyperparameters theta by gradient descent (ablation)Ours · ShapeNet LampIoU: 0.86 -> 0.87Helped
learn Nystrom samples Z by gradient descent (ablation)Ours · ShapeNet LampCD1: 0.53 -> 0.42Helped
add hyperparameter tuning (vs no tuning, m=1k) (ablation)Nystrom KRR · ShapeNet LampCD1: 0.61 -> 0.42Helped
increase Nystrom samples without tuning from 1k to 10k (ablation)Nystrom KRR w/o tune · ShapeNet LampCD1: 0.61 -> 0.53Helped
increase Nystrom samples with tuning from 500 to 1000 (ablation)Ours · ShapeNet LampIoU: 0.87 -> 0.88Helped
increase Nystrom samples with tuning from 1000 to 5000 (ablation)Ours · ShapeNet LampIoU: 0.88 -> 0.86Hurt
apply KRR adaptation to Poco at 10k input points (ablation)Poco · ShapeNet LampIoU: 0,80 -> 0,87Helped
apply KRR adaptation to Poco at 500 input points (ablation)Poco · ShapeNet LampIoU: 0,71 -> 0,73Helped
increase input size from 3k to 10k (ablation)Poco · ShapeNet LampIoU: 0,85 -> 0,80Hurt
test-time finetuning of Conv (SAC)Conv · ShapeNetIoU: 0,84 -> 0,81Mixed
test-time finetuning of Conv (SAC) on FaustConv · FaustIoU: 0,85 -> 0,77Mixed

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