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research-article

Quantization and the method of k -means

Published: 01 September 2006 Publication History

Abstract

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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  • (2024)Coarse PersonalizationProceedings of the 25th ACM Conference on Economics and Computation10.1145/3670865.3673540(1206-1208)Online publication date: 8-Jul-2024
  • (2024)Tensor-Based Possibilistic C-Means ClusteringIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2024.343573032:10(5939-5950)Online publication date: 1-Oct-2024
  • (2023)On generalization bounds for projective clusteringProceedings of the 37th International Conference on Neural Information Processing Systems10.5555/3666122.3669262(71723-71754)Online publication date: 10-Dec-2023
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cover image IEEE Transactions on Information Theory
IEEE Transactions on Information Theory  Volume 28, Issue 2
March 1982
289 pages

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IEEE Press

Publication History

Published: 01 September 2006

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Cited By

View all
  • (2024)Coarse PersonalizationProceedings of the 25th ACM Conference on Economics and Computation10.1145/3670865.3673540(1206-1208)Online publication date: 8-Jul-2024
  • (2024)Tensor-Based Possibilistic C-Means ClusteringIEEE Transactions on Fuzzy Systems10.1109/TFUZZ.2024.343573032:10(5939-5950)Online publication date: 1-Oct-2024
  • (2023)On generalization bounds for projective clusteringProceedings of the 37th International Conference on Neural Information Processing Systems10.5555/3666122.3669262(71723-71754)Online publication date: 10-Dec-2023
  • (2022)Randomized sketches for clusteringProceedings of the 36th International Conference on Neural Information Processing Systems10.5555/3600270.3600735(6424-6436)Online publication date: 28-Nov-2022
  • (2022)Hierarchical optimal transport for unsupervised domain adaptationMachine Language10.1007/s10994-022-06231-7111:11(4159-4182)Online publication date: 1-Nov-2022
  • (2021)Label consistency in overfitted generalized k-meansProceedings of the 35th International Conference on Neural Information Processing Systems10.5555/3540261.3540870(7965-7977)Online publication date: 6-Dec-2021
  • (2021)Refined learning bounds for kernel and approximate k-meansProceedings of the 35th International Conference on Neural Information Processing Systems10.5555/3540261.3540731(6142-6154)Online publication date: 6-Dec-2021
  • (2021)Gaussian-kernel c-means clustering algorithmsSoft Computing - A Fusion of Foundations, Methodologies and Applications10.1007/s00500-020-04924-625:3(1699-1716)Online publication date: 1-Feb-2021
  • (2021)Statistical Estimation of Quantization for Probability Distributions: Best Equivariant Estimator of Principal PointsMachine Learning, Optimization, and Data Science10.1007/978-3-030-95467-3_31(430-441)Online publication date: 4-Oct-2021
  • (2020)Transporting Labels via Hierarchical Optimal Transport for Semi-Supervised LearningComputer Vision – ECCV 202010.1007/978-3-030-58548-8_30(509-526)Online publication date: 23-Aug-2020
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