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• W1844142557 abstract "Approximating adequate number of clusters in multidimensional data is an open area of research, given a level of compromise made on the quality of acceptable results. The manuscript addresses the issue by formulating a transductive inductive learning algorithm which uses multivariate Chebyshev inequality. Considering clustering problem in imaging, theoretical proofs for a particular level of compromise are derived to show the convergence of the reconstruction error to a finite value with increasing (a) number of unseen examples and (b) the number of clusters, respectively. Upper bounds for these error rates are also proved. Non-parametric estimates of these error from a random sample of sequences empirically point to a stable number of clusters. Lastly, the generalization of algorithm can be applied to multidimensional data sets from different fields." @default.
• W1844142557 created "2016-06-24" @default.
• W1844142557 creator A5045112901 @default.
• W1844142557 date "2011-01-19" @default.
• W1844142557 modified "2023-09-27" @default.
• W1844142557 title "Transductive-Inductive Cluster Approximation Via Multivariate Chebyshev Inequality" @default.
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• W1844142557 hasPublicationYear "2011" @default.
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