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Clustering Small Samples With Quality Guarantees: Adaptivity With One2all PPS

AAAI 2018 · Learning theory and algorithms › Clustering · approach: Coresets and dynamic clustering · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use adaptive one2all sampling instead of the worst-case coreset sizeClustering sample construction · Mixture of Gaussians (n=1×10^7, d=10, k=5, ε=0.20)sample-size reduction factor: 94.4Helped
Use adaptive one2all sampling instead of the worst-case coreset sizeClustering sample construction · Mixture of Gaussians (n=2.5 × 10^6, d=10, k=5, ε=0.20)sample-size reduction factor: 90.2Helped
Use adaptive one2all sampling instead of the worst-case coreset sizeClustering sample construction · Mixture of Gaussians (n=2 × 10^6, d=10, k=20, ε=0.20)sample-size reduction factor: 83.2Helped
Use adaptive one2all sampling instead of the worst-case coreset sizeClustering sample construction · MNISTsample-size reduction factor: 26.9Helped
Use adaptive one2all sampling instead of the worst-case coreset sizeClustering sample construction · Fashionsample-size reduction factor: 17.5Helped
Select a sweet-spot prefix of kmeans++ centroids for one2all rather than always using the worst-case centroid countAdaptive one2all · Clustering sample constructionsample sizeHelped
Use adaptive one2all sampling instead of the worst-case coreset sizeClustering sample construction · Mixture of Gaussians (n=5×10^5, d=10, k=5, ε=0.10)sample-size reduction factor: 20.0Helped
Use adaptive one2all sampling instead of the worst-case coreset sizeClustering sample construction · Mixture of Gaussians (n=5×10^5, d=10, k=5, ε=0.20)sample-size reduction factor: 73.3Helped
Use adaptive one2all sampling instead of the worst-case coreset sizeClustering sample construction · Mixture of Gaussians (n=2 × 10^6, d=10, k=20, ε=0.10)sample-size reduction factor: 20.7Helped
Use adaptive one2all sampling instead of the worst-case coreset sizeClustering sample construction · Mixture of Gaussians (n=2 × 10^6, d=10, k=50, ε=0.20)sample-size reduction factor: 33.5Helped
Use adaptive one2all sampling instead of the worst-case coreset sizeClustering sample construction · Mixture of Gaussians (n=2×10^6, d=10, k=100, ε=0.20)sample-size reduction factor: 16.2Helped
Use adaptive one2all sampling instead of the worst-case coreset sizeClustering sample construction · Mixture of Gaussians (n=1×10^6, d=20, k=10, ε=0.10)sample-size reduction factor: 18.9Helped

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