Fast tensorial JADE

Joni Virta, Niko Lietzén, Pauliina Ilmonen, Klaus Nordhausen

Tutkimustuotos: LehtiartikkeliArticleScientificvertaisarvioitu

1 Sitaatiot (Scopus)
122 Lataukset (Pure)

Abstrakti

We propose a novel method for tensorial‐independent component analysis. Our approach is based on TJADE and k‐JADE, two recently proposed generalizations of the classical JADE algorithm. Our novel method achieves the consistency and the limiting distribution of TJADE under mild assumptions and at the same time offers notable improvement in computational speed. Detailed mathematical proofs of the statistical properties of our method are given and, as a special case, a conjecture on the properties of k‐JADE is resolved. Simulations and timing comparisons demonstrate remarkable gain in speed. Moreover, the desired efficiency is obtained approximately for finite samples. The method is applied successfully to large‐scale video data, for which neither TJADE nor k‐JADE is feasible. Finally, an experimental procedure is proposed to select the values of a set of tuning parameters. Supplementary material including the R‐code for running the examples and the proofs of the theoretical results is available online.
AlkuperäiskieliEnglanti
Sivut164-187
Sivumäärä24
JulkaisuScandinavian Journal of Statistics
Vuosikerta48
Numero1
Varhainen verkossa julkaisun päivämäärä2020
DOI - pysyväislinkit
TilaJulkaistu - maalisk. 2021
OKM-julkaisutyyppiA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

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