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Research map / Learning theory and algorithms / Matrix and tensor methods

Efficient Sparse Low-Rank Tensor Completion Using the Frank-Wolfe Algorithm

AAAI 2017 · Learning theory and algorithms › Matrix and tensor methods · approach: Matrix completion and factorization · 36 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
add post-processing (refit basis weights without nuclear norm constraint) (ablation)FFWTensor · Synthetic datatest RMSE: 0.120 -> 0.100Helped
add basis reduction (ablation)FFWTensor · Synthetic datatest RMSE: 0.121 -> 0.100Helped
exploit sparsity of observed tensor (ablation)FFWTensor · Synthetic datafeasibility (memory)Helped
FW with scaled latent nuclear norm instead of tensor trace norm FW (TTN)tensor completion · Color image inpaintingtest RMSE: 0.297 ± 0.002 -> 0.186 ± 0.001Helped
FFWTensor instead of GeomCGtensor completion · ClimateNettest AUC: 0.873 -> 0.877Helped

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