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Estimation and Clustering with Infinite Rankings

Year: 2012
Type: preprint
Abstract: This paper presents a natural extension of stagewise ranking to the the case of infinitely many items. We introduce the infinite generalized Mallows model (IGM), describe its properties and give procedures to estimate it from data. For estimation of multimodal distributions we introduce the Exponential-Blurring-Mean-Shift nonparametric clustering algorithm. The experiments highlight the properties of the new model and demonstrate that infinite models can be simple, elegant and practical.
Language: English
Open Access status: green
OpenAlex ID: W3880141
Cites: 11
Cited by: 16
Related to: 10