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Multiple testing for outlier detection in functional data
Machine Learning · Submitted 13 Dec 2017
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim This procedure to select the features is applied on simulated data that mimic the behaviour of space telemetries, and compared with existing dimension reduction techniques.
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The abstract, sentence by sentence
We propose a novel procedure for outlier detection in functional data, in a semi-supervised framework. As the data is functional, we consider the coefficients obtained after projecting the observations onto orthonormal bases (wavelet, PCA). A multiple testing procedure based on the two-sample test is defined in order to highlight the levels of the coefficients on which the outliers appear as significantly different to the normal data. The selected coefficients are then called features for the outlier detection, on which we compute the Local Outlier Factor to highlight the outliers. This procedure to select the features is applied on simulated data that mimic the behaviour of space telemetries, and compared with existing dimension reduction techniques.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We propose a novel procedure for outlier detection in functional data, in a semi-supervised framework. | contribution 1.00 | 0.91 | 0.14 | asserted 0.99 |
| s1 | As the data is functional, we consider the coefficients obtained after projecting the observations onto orthonormal bases (wavelet, PCA). | method 0.93 | 0.70 | 0.02 | asserted 0.99 |
| s2 | A multiple testing procedure based on the two-sample test is defined in order to highlight the levels of the coefficients on which the outliers appear as significantly different to the normal data. | method 0.98 | 0.88 | 0.07 | asserted 1.00 |
| s3 | The selected coefficients are then called features for the outlier detection, on which we compute the Local Outlier Factor to highlight the outliers. | method 0.99 | 0.89 | 0.10 | asserted 1.00 |
| s4 | This procedure to select the features is applied on simulated data that mimic the behaviour of space telemetries, and compared with existing dimension reduction techniques. | method 0.76 | 0.92 | 0.12 | asserted 0.99 |
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The paper
Original abstract
We propose a novel procedure for outlier detection in functional data, in a semi-supervised framework. As the data is functional, we consider the coefficients obtained after projecting the observations onto orthonormal bases (wavelet, PCA). A multiple testing procedure based on the two-sample test is defined in order to highlight the levels of the coefficients on which the outliers appear as significantly different to the normal data. The selected coefficients are then called features for the outlier detection, on which we compute the Local Outlier Factor to highlight the outliers. This procedure to select the features is applied on simulated data that mimic the behaviour of space telemetries, and compared with existing dimension reduction techniques.
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