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Statistics and Computing - Finite Gaussian mixture models are widely used for model-based clustering of continuous data. Nevertheless, since the number of model parameters scales quadratically with... 相似文献
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Dimension reduction for model-based clustering 总被引:1,自引:0,他引:1
Luca Scrucca 《Statistics and Computing》2010,20(4):471-484
We introduce a dimension reduction method for visualizing the clustering structure obtained from a finite mixture of Gaussian
densities. Information on the dimension reduction subspace is obtained from the variation on group means and, depending on
the estimated mixture model, on the variation on group covariances. The proposed method aims at reducing the dimensionality
by identifying a set of linear combinations, ordered by importance as quantified by the associated eigenvalues, of the original
features which capture most of the cluster structure contained in the data. Observations may then be projected onto such a
reduced subspace, thus providing summary plots which help to visualize the clustering structure. These plots can be particularly
appealing in the case of high-dimensional data and noisy structure. The new constructed variables capture most of the clustering
information available in the data, and they can be further reduced to improve clustering performance. We illustrate the approach
on both simulated and real data sets. 相似文献
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Luca Scrucca 《Statistical Methods and Applications》2002,11(3):371-394
In this article we focus on logistic regression models for binary responses. An existing result shows that the log-odds can
be modelled depending on the log of the ratio between the conditional densities of the predictors given the response variable.
This suggests that relevant statistical information could be extracted investigating the inverse problem. Thus, we present
different methods for studying the log-density ratio through graphs, which allow us to select which predictors are needed,
and how they should be included in a logistic regression model. We also discuss data analysis examples based on real datasets
available in literature in order to provide further insights into the methodology proposed. 相似文献
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Statistical Methods & Applications - Detecting changes in COVID-19 disease transmission over time is a key indicator of epidemic growth. Near real-time monitoring of the pandemic growth is... 相似文献
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