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Fast Algorithm for Low-Rank Tensor Completion in Delay-Embedded Space

CVPR 2022 · Architectures and efficiency › RNNs and normalization · approach: Dataset condensation and flow estimation · 23 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the FFT-accelerated circulant MDT formulation instead of MDT-TuckerTensor completion · Video recovery, slice missingcomputing time (sec): 3160 -> 4.27Helped
Use the FFT-accelerated circulant MDT formulation instead of MDT-TuckerTensor completion · Video recovery, 70% voxel missingcomputing time (sec): 684 -> 6.52Helped
Use the FFT-accelerated circulant MDT formulation instead of MDT-TuckerTensor completion · MRI recovery, τ=8PSNR: 26.39 -> 27.87Helped
Increase the delay window size from τ=8 to τ=16 (ablation)Proposed method · MRIPSNR: 27.87 -> 28.62Helped
Increase the delay window size from τ=16 to τ=32 (ablation)Proposed method · MRIPSNR: 28.62 -> 28.97Helped
Increase the delay window size from τ=32 to τ=48 (ablation)Proposed method · MRIPSNR: 28.97 -> 29.04Helped
Increase the delay window size from τ=48 to τ=64 (ablation)Proposed method · MRIPSNR: 29.04 -> 29.00Hurt
Replace normal MDT with circulant MDT (ablation)Proposed method · Images with non-periodic edgesreconstruction accuracyHurt
Use low-rank structure only on odd modes, omitting even-mode factors (ablation)Proposed method · Extremely ill-posed recovery, e.g. 95% missingreconstruction accuracyHurt

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