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Distributed and Provably Good Seedings for k-Means in Constant Rounds

ICML 2017 · Learning theory and algorithms › Clustering · approach: k-means++ seeding analysis · 19 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Increase oversampling factor ℓ (with fixed rounds t) in k-means|| seedingk-means|| seeding (Algorithm 2/3) · theoretical bound (Lemma 4 / Theorem 1)expected quantization error bound (additive term)Helped
Increase number of rounds t (with fixed oversampling factor ℓ) in k-means|| seedingk-means|| seeding (Algorithm 2) · theoretical bound (Lemma 4)expected quantization error bound (additive term)Helped
Use fewer than k-1 rounds of k-means|| (t < k-1) on a hard instancek-means|| seeding · hard instance construction (Theorem 2)expected quantization error lower bound relative to Var(X)Hurt

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