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- ÉditeurForgotten Books
- Date d'édition2024
- ISBN 10 1330286987
- ISBN 13 9781330286982
- ReliureBroché
- Nombre de pages28
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Asymptotic Properties of Univariate Sample K-Means Clusters (Classic Reprint)
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
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Paperback. Etat : New. Print on Demand. This book delves into the fascinating world of k-means clustering, a widely used method for grouping data points into distinct clusters. The author meticulously examines the properties of k-means clusters when the number of clusters, k, grows indefinitely alongside the sample size. The book's unique approach lies in its exploration of asymptotic properties, allowing readers to grasp the behavior of k-means clustering as both k and the sample size approach infinity. Through rigorous mathematical analysis, the author unveils the intriguing relationship between the lengths of neighboring clusters, demonstrating that they are inversely proportional to the cube root of the underlying density at their midpoints. Moreover, the book delves into the within-cluster sums of squares, a measure of cluster compactness. The author proves that in the asymptotic limit, these sums become asymptotically equal, providing valuable insights into the optimality of k-means clustering. This book is an invaluable resource for statisticians, data scientists, and researchers seeking a deeper understanding of the theoretical foundations of k-means clustering. Its insights shed light on the strengths and limitations of this widely applied clustering technique, ultimately contributing to more effective data analysis and decision-making. Forgotten Books publishes hundreds of thousands of rare and classic books. This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works. The digital edition of all books may be viewed on our website before purchase. print-on-demand item. N° de réf. du vendeur 9781330286982_0
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Asymptotic Properties of Univariate Sample KMeans Clusters Classic Reprint
Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LX-9781330286982
Quantité disponible : 15 disponible(s)
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Asymptotic Properties of Univariate Sample KMeans Clusters Classic Reprint
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LX-9781330286982
Quantité disponible : 15 disponible(s)