Estimating the number of clusters

By Antonio Cuevas, M. Febrero, Ricardo Fraiman. 2000

186 citations recorded by the source corpus.

Subfields: Artificial Intelligence, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/5bdf68bc8b6108b5d284409e42c331321875860b

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Citations in the corpus

Topological Consistency via Kernel Estimation (2014, methodology): “observations drawn from p, we would like to estimate the set DL. Recovering the level sets of density functions have shown to be useful in various applications such as clustering and cluster analysis [25, 26, 41, 53, 54, 63], pattern recognition[24, 32, 40], anomalydetection [6, 27], and econometric”
Set estimation and nonparametric detection (2000, background): “To our knowledge, the first detailed study of the properties of (1) is due to Devroye & Wise (1980) (see also Chevalier 1976; Grenander 1981; Cuevas 1990; Korostelev & Tsybakov 1993).”
Set estimation under convexity type assumptions (2007, background): “The problem of approximating a compact set S ⊂ Rd from a random sample of points X1, . . . ,Xn taken in S arises in connection with some applications in statistical quality control (Devroye and Wise [8], Baíllo, Cuevas and Justel [2]) clustering (Cuevas, Febrero and Fraiman [4,5]), image analysis (M”
MED-NODE: A computer-assisted melanoma diagnosis system using non-dermoscopic images (2015, methodology): “Among the works focusing on clinical images the one of Zagrouba and Barhoumi (2011) presents a system with similar properties as MED-NODE; a noise removal preprocessing step, localization of the regions of interest for feature extraction etc. This system focuses on the extraction of features that wi”
On boundary estimation (2004, background): “…S, arises in connection with some interesting applications in statistical quality control (Devroye and Wise (1980), Baíllo et al. (2000)), clustering (Cuevas et al. (2000), (2001)), image analysis (Marr (1982), Rudemo and Stryhn (1994a), Bertholet et al. (1998)) and statistical learning…”
A Review on Modal Clustering (2016, background): “A common choice is the nearest-neighbour graph, discussed by Cuevas et al. (2000, 2001) and Stuetzle (2003) and, in some variant forms, by Rinaldo & Wasserman (2010). These works have a number of distinct original contributions that stand out. Cuevas et al. (2000, 2001) exploit bootstrap ideas to ob”
Kernel estimation of density level sets (2005, background): “One of the most important application of density level sets estimation is in unsupervised cluster analysis (see for instance, Hartigan [1], Cuevas, Febrero and Fraiman [2,3]).”