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Boosted Sparse and Low-Rank Tensor Regression

NeurIPS 2018 · Learning theory and algorithms › Matrix and tensor methods · approach: Low-rank tensor completion · 20 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use SURF instead of ACS estimationSparse and low-rank tensor regression · DTI_factRMSE: 2.81±0.24 -> 2.81±0.23No clear effect
Use SURF instead of ACS estimationSparse and low-rank tensor regression · DTI_rk2RMSE: 2.90±0.31 -> 2.91±0.32No clear effect
Use SURF instead of ACS estimationSparse and low-rank tensor regression · DTI_slRMSE: 2.89±0.38 -> 2.87±0.35Helped
Use SURF instead of RemursSparse and low-rank tensor regression · DTI_tlRMSE: 2.84±0.35 -> 2.83±0.32No clear effect
Use SURF instead of ACS estimationSparse and low-rank tensor regression · CombinedRMSE: 2.79±0.31 -> 2.78±0.29No clear effect
Decrease the stagewise step size (ablation)SURF · Synthetic 2D dataRMSEHelped
Increase the stagewise step size (ablation)SURF · Synthetic 2D dataSparsity of coefficientsHelped
Use sparse low-rank unit components rather than other compared tensor methodsTensor regression · Synthetic 2D dataRMSEHelped
Use SURF instead of ACSSparse and low-rank tensor regression · DTI datasetsCPU execution time: 60.8±24.4 -> 1.7±0.2; 63.0±21.6 -> 5.2±0.8; 66.3±44.9 -> 1.5±0.1; 96.7±43.2 -> 3.8±0.5; 463.2±268.1 -> 6.2±0.5Helped

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