March 1, 1982

Quantization and the method ofk-means

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Resumen

Asymptotic results from the statistical theory of k -means clustering are applied to problems of vector quantization. The behavior of quantizers constructed from long training sequences of data is analyzed by relating it to the consistency problem for k -means.

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David Pollard (Mon,) studied this question.

synapsesocial.com/papers/6a11d5938095bbd48eb4c857 https://doi.org/https://doi.org/10.1109/tit.1982.1056481

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1A Central Limit Theorem for $k$-Means Clustering1982 · 241 citations
2Prescribing a System of Random Variables by Conditional Distributions1970 · 606 citations
3Empirical Processes: A Survey of Results for Independent and Identically Distributed Random Variables1979 · 166 citations
4Asymptotic Distributions for Clustering Criteria1978 · 130 citations
5Least squares quantization in PCM1982 · 15,613 citations

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