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Functional Principal Component Analysis of Aircraft Trajectories

Abstract : In Functional Data Analysis (FDA), the underlying structure of a raw observation is functional and data are assumed to be sample paths from a single stochastic process. Functional Principal Component Analysis (FPCA) generalizes the standard multivariate Principal Component Analysis (PCA) to the infinite-dimensional case by analyzing the covariance structure of functional data. By approximating infinite-dimensional random functions by a finite number of random score vectors, FPCA appears as a dimension reduction technique just as in the multivariate case and cuts down the complexity of data. This technique offers a visual tool to assess the main direction in which trajectories vary, patterns of interest, clusters in the data and outlier detection. This method is applied to aircraft trajectories and the problem of registration is discussed when phase and amplitude variations are mixed.
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Contributor : Florence Nicol Connect in order to contact the contributor
Submitted on : Tuesday, July 26, 2016 - 5:51:52 PM
Last modification on : Tuesday, October 19, 2021 - 11:02:49 AM
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  • HAL Id : hal-01349113, version 1



Florence Nicol. Functional Principal Component Analysis of Aircraft Trajectories. [Research Report] RR/ENAC/2013/02, ENAC. 2013. ⟨hal-01349113⟩



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