[ABE-L] Academic Seminar of Data Science with Ronaldo Dias of Unicamp - Online

[Hedibert Lopes]

*September 1st 2022*

*12pm *



*Title: *Selection of the number of clusters in functional data
analysis - Joint
work with Zambom, A. and Collazos, J.

*Speaker:* Ronaldo Dias <https://www.ime.unicamp.br/~dias/>


*University: **UNICAMP <https://www.unicamp.br/unicamp/>*





*Abstract:*  Identifying the number *K* of clusters in a dataset is one of
the most difficult problems in clustering analysis. A choice of *K* that
correctly characterizes the features of the data is essential for building
meaningful clusters. In this paper we tackle the problem of estimating the
number of clusters in functional data analysis by introducing a new measure
that can be used with different procedures in selecting the optimal *K*.
The main idea is to use a combination of two test statistics, which measure
the lack of parallelism and the mean distance between curves, to compute
criteria such as the within and between cluster sum of squares. Simulations
in challenging scenarios suggest that procedures using this measure can
detect the correct number of clusters more frequently than existing methods
in the literature. The application of the proposed method is illustrated on
several real datasets.




Zoom link: https://zoom.us/j/95781336030
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