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Nested Mini-Batch K-Means

NeurIPS 2016 · Learning theory and algorithms › Prediction and decision losses · approach: Active learning and subset selection · 36 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Nested mini-batches with triangle-inequality bounds (nmbatch) instead of uniform mini-batches (mbatch)nmbatch · 3 dense datasetstime to reach 2% of E*: 10x to 100x earlierHelped
nmbatch instead of mbatch on sparse RCV1nmbatch · RCV1time to reach 0.5% of E*: 0.5%Helped
nmbatch versus exact algorithms (lloyd, yinyang) on final energynmbatch · all datasetsfinal validation energyNo clear effect
Large doubling threshold rho in {10,100,1000} with bounds (ablation)nmbatch · all datasetstime-energy: 10^2 vs 10^3No clear effect
Use rho=10 instead of larger rho with bounds disabled (ablation)nmbatch.deact · all datasetstime-energy: 10^1 vs 10^2, 10^3Helped
Remove old assignments in mbatch (mbatch.remove) (ablation)mbatch · all datasetstime-energyHelped
Deactivate bound test in nmbatch (nmbatch.deact) (ablation)nmbatch · all datasetstime-energyHurt
nmbatch.deact versus mbatch.remove (ablation)nmbatch.deact · all datasetstime-energyMixed
Own mbatch implementation versus scikit-learn on INFMNISTmbatch · INFMNISTtime (s): 20.6 -> 12.4Helped
Own mbatch implementation versus scikit-learn on RCV1mbatch · RCV1time (s): 63.6 -> 15.2Helped
Own mbatch implementation versus sofia on RCV1mbatch · RCV1time (s): 23.3 -> 15.2Helped

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