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Leveraging Sparsity for Efficient Submodular Data Summarization

NeurIPS 2016 · Learning theory and algorithms › Prediction and decision losses · approach: Approximate nearest neighbor indexing · 9 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use LSH threshold/nearest-neighbor sparsification before lazy greedyFacility location greedy · MovieLensspeedup at 99.9% of greedy value: 512 seconds -> less than 5 seconds (100x)Helped
Use sparsified lazy greedy instead of stochastic greedyFacility location on MovieLens · MovieLenstime to equivalent value: 125 seconds vs under 5 seconds (25x)Helped
Use exact nearest neighbor sparsificationFacility location greedy · MovieLensoverlap with greedy set: 4x faster, perfect matchHelped
Use approximate (LSH) instead of exact nearest neighbors (ablation)Sparsification · MovieLensoverlap with greedy set: 90% overlap, 50x faster vs 4x faster exactMixed
Use sparsification instead of stochastic greedy for overlap with greedy setMovieLens summarization · MovieLensoverlap with greedy set: 90% vs 70%Helped
Use sparsified Monte Carlo PPR instead of full PPR matrix greedyFacility location on IMDb · IMDb graphspeedup: six hours -> under 10 minutes (36x), 99% of greedyHelped
Use sparsified approach instead of sampling a subset of I with power-method PPRFacility location on IMDb · IMDb graphfunction value and greedy overlap vs runtimeHelped
Use facility location instead of plain PageRank for selecting actorsIMDb 57,000-vertex graph · IMDbdiversity of nationalityHelped

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