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Fast greedy algorithms for dictionary selection with generalized sparsity constraints

NeurIPS 2018 · Learning theory and algorithms › Matrix and tensor methods · approach: Sparse regression with guarantees · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use Replacement OMP instead of SDS_OMP or Replacement GreedyDictionary selection on synthetic data, T = 100 · Synthetic datasetrunning timeHelped
Use Replacement OMP instead of SDS_OMP or Replacement GreedyDictionary selection on synthetic data, T = 100 · Synthetic datasettest residual varianceNo clear effect
Use Replacement OMP instead of SDS_OMP or Replacement GreedyDictionary selection on VOC2006, T = 100 · VOC2006 image datasettest residual varianceHurt
Use Replacement OMP instead of MOD or KSVDDictionary selection, T = 1000 · Synthetic dataset and VOC2006 image datasetrunning timeHelped
Use Replacement OMP instead of MOD or KSVDDictionary selection, T = 1000 · Synthetic dataset and VOC2006 image datasettest residual varianceNo clear effect
Use Replacement OMP or ROMPd instead of the average-sparsity variant of SDS_MADictionary selection with average sparsity, T = 1000 · Synthetic dataset and VOC2006 image datasettest residual varianceHelped
Use Replacement OMP or ROMPd instead of the average-sparsity variant of SDS_MADictionary selection with average sparsity, T = 1000 · Synthetic dataset and VOC2006 image datasetrunning timeHelped
Use Online ROMP instead of Online SDS_MA, Online Replacement Greedy, or online dictionary learningOnline dictionary selection · Synthetic and VOC2006 datasetsperformanceHelped
Replace the fixed smoothness parameter with a parameter that decreases as the dictionary grows (ablation)Replacement OMP, called ROMPd · Dictionary selection experimentstest residual varianceMixed

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