14 results
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- ItemInterpretable Clustering using Unsupervised Binary Trees(2011) Fraiman, Ricardo; Ghattas, Badih; Svarc, MarcelaWe herein introduce a new method of interpretable clustering that uses unsu- pervised binary trees. It is a three-stage procedure, the rst stage of which entails a series of recursive binary splits to reduce the heterogeneity of the data within the new subsamples. During the second stage (pruning), consideration is given to whether adjacent nodes can be aggregated. Finally, during the third stage (join- ing), similar clusters are joined together, even if they do not share the same parent originally. Consistency results are obtained, and the procedure is used on simulated and real data sets.
- ItemA Nonparametric Approach to the Estimation of Lengths and Surface Areas(2006-03) Cuevas, Antonio; Fraiman, Ricardo; Rodríguez-Casal, Alberto
- ItemImpartial Trimmed k-means for Functional Data(2005-03) Cuesta-Albertos, Juan Antonio; Fraiman, Ricardo
- ItemPattern recognition via projection – based k – NN rules(2008-06) Fraiman, Ricardo; Justel, Ana; Svarc, MarcelaWe introduce a new procedure for pattern recognition, based on the concepts of random projections and nearest neighbors. It can be thought as an improvement of the classical nearest neighbors classification rules. Besides the concept of neighbors we introduce the notion of district, a larger set which will be projected. Then we apply one dimensional k-NN methods to the projected data on randomly selected directions. In this way we are able to provide a method with some robustness properties and more accurate to handle high dimensional data. The procedure is also universally consistent. We challenge the method with the Isolet data where we obtain a very high classification score.
- ItemLinear functional regression: The case of fixed design and functional response(2001-06) Cuevas, Antonio; Febrero, Manuel; Fraiman, Ricardo
- ItemTrimmed Means for Functional Data(2001-04) Fraiman, Ricardo; Muñiz, Graciela
- ItemTesting statistical hypothesis on random trees(2006-08) Busch, Jorge R.; Ferrari, Pablo A.; Flesia, Georgina; Fraiman, Ricardo; Grynberg, Sebastian
- ItemA Tailor-Made Nonparametric Density Estimate(2006-02) Carando, Daniel; Fraiman, Ricardo; Groisman, Pablo
- ItemSelection of variables for cluster analysis and classification rules(2006-11) Fraiman, Ricardo; Justel, Ana; Svarc, Marcela
- ItemClassifying speech sonority functional data using a Projected Kolmogorov-Smirnov approach(2005-12) Cuesta-Albertos, Juan Antonio; Fraiman, Ricardo; Galves, Antonio; Garcia, Jesús