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গ্যাপ স্ট্যাটিস্টিক×ডেভিস-বোল্ডিন সূচক (Davies-Bouldin Index)×কনুই পদ্ধতি×
ক্ষেত্রমডেল মূল্যায়নমডেল মূল্যায়নমডেল মূল্যায়ন
পরিবারMCDMMCDMMCDM
উদ্ভবের বছর200119791953
প্রবর্তকRobert Tibshirani, Guenther Walther, Trevor HastieDavid L. Davies, Donald W. BouldinRobert Thorndike
ধরনStatistical criterionCluster quality metricHeuristic optimization criterion
মৌলিক উৎসTibshirani, R., Walther, G., & Hastie, T. (2001). Estimating the number of clusters in a data set via the gap statistic. Journal of the Royal Statistical Society: Series B (Statistical Methodology), 63(2), 411-423. DOI ↗Davies, D. L., & Bouldin, D. W. (1979). A cluster separation measure. IEEE Transactions on Pattern Analysis and Machine Intelligence, 1(2), 224-227. DOI ↗Hastie, T., Tibshirani, R., & Friedman, J. (2009). The Elements of Statistical Learning: Data Mining, Inference, and Prediction. Springer Series in Statistics. link ↗
অপর নামgap index, Tibshirani gap statisticDBI, Davies Bouldin indexelbow analysis, knee detection
সম্পর্কিত555
সারসংক্ষেপThe Gap Statistic, developed by Tibshirani, Walther, and Hastie in 2001, is a principled statistical method for determining the optimal number of clusters in a dataset. It compares the observed within-cluster sum of squares to the expected value under a null hypothesis of no clustering structure, providing a theoretically grounded approach to cluster number selection.The Davies-Bouldin Index, introduced by Davies and Bouldin in 1979, is a metric for evaluating clustering quality based on the average similarity between each cluster and its most similar neighboring cluster. Lower values indicate better clustering, with a minimum of 0 representing perfectly separated, non-overlapping clusters.The Elbow Method is a heuristic for selecting the optimal number of clusters in partitional clustering. Introduced by Robert Thorndike in 1953, it involves fitting clustering models for increasing numbers of clusters and plotting the within-cluster sum of squares (WCSS) against the number of clusters. The 'elbow' occurs where the rate of WCSS decrease sharply changes, suggesting an optimal cluster count.
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ScholarGateপদ্ধতির তুলনা করুন: Gap Statistic · Davies-Bouldin Index · Elbow Method. 2026-06-20 তারিখে সংগৃহীত, উৎস: https://scholargate.app/bn/compare