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Stable and Consistent Prediction of 3D Characteristic Orientation via Invariant Residual Learning

ICML 2023 · Point clouds › Point cloud classification · approach: Local feature aggregation networks · 0 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
remove point cloud reconstruction pipeline from VN-SPD (ablation)VN-SPD-based baseline · ShapeNet single-class airplaneconsistency (°): 49.97 -> 61.06Hurt
add cross-instance training pairs (vs. same-class pair setup without it) (ablation)CHOIR · ShapeNet single-class airplaneconsistency (°): 61.06 -> 36.25Helped
add SO(3)-invariant residual predictor g(·) (ablation)CHOIR · ShapeNet single-class airplaneconsistency (°): 36.25 -> 32.07 (stability 0.68 -> 0.67)Helped
fix kNN indices per point cloud at inference (ablation)CHOIR · ShapeNet multi-class (airplane, car, chair, table)stability (°): 0.67 -> 0.02 (airplane); 0.40 -> 0.02 (car); 0.42 -> 0.02 (chair)Helped
use same-instance pairs instead of cross-instance pairs (ablation)CHOIR · ShapeNet single-class airplanestability (°): 0.67 -> 0.14 (consistency 32.07 -> 47.08)Helped
CHOIR vs Point Transformer* as characteristic orientation predictor for downstream segmentation (SO(3)-equivariant hypothesizer vs. SO(3)-variant PT)DGCNN part segmentation · ShapeNet part segmentation I/SO(3)Ins. mIoU (%): 51.41 -> 76.67Helped
canonicalize inputs with CHOIR before DGCNN segmentation (vs vanilla DGCNN)DGCNN · ShapeNet part segmentation I/SO(3)Ins. mIoU (%): 29.06 -> 76.67Helped
canonicalize inputs with CHOIR before DGCNN segmentation (vs vanilla DGCNN)DGCNN · ShapeNet part segmentation I/IIns. mIoU (%): 81.66 -> 76.64Hurt

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