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T-Net: Parametrizing Fully Convolutional Nets With a Single High-Order Tensor

CVPR 2019 · Architectures and efficiency › CNN design · approach: Filter design and trained-filter analysis · 64 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Parametrize the whole network with one low-rank Tucker tensor instead of leaving it uncompressedStacked HourGlass · MPII validationPCKh: 87% -> 87.5%Helped
Use a single network-level tensor rather than layer-wise decompositionStacked HourGlass · MPII validationPCKh: 85.3% -> 87.1%Helped
Use network-level tensorization rather than trimming channelsStacked HourGlass · MPII validationPCKh: 84.5% -> 87.1%Helped
Reduce the #hg rank to 3 (ablation)Tucker T-Net · MPII validationPCKh: 86.99% -> 87.42%Helped
Reduce the #hg rank to 1 (ablation)Tucker T-Net · MPII validationPCKh: 86.99% -> 86.05%Hurt
Reduce hg_depth rank to 3 (ablation)Tucker T-Net · MPII validationPCKh: 86.99% -> 87.71%Helped
Reduce hg_subnet rank to 1 (ablation)Tucker T-Net · MPII validationPCKh: 86.99% -> 86.19%Hurt
Reduce b_depth rank to 1 (ablation)Tucker T-Net · MPII validationPCKh: 86.99% -> 82.59%Hurt
Reduce feature ranks to 96 (ablation)Tucker T-Net · MPII validationPCKh: 86.99% -> 87.43%Helped
Reduce feature ranks to 32 (ablation)Tucker T-Net · MPII validationPCKh: 86.99% -> 83.10%Hurt
Reduce kernel height and width ranks to 2 (ablation)Tucker T-Net · MPII validationPCKh: 86.99% -> 87.30%Helped
Apply Tucker tensorization at 3.38x compressionFully Convolutional Network · Facial part segmentation testmIOU: 76.02% -> 76.01%No clear effect

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