Kowal, Marek - red. ; Korbicz, Józef (1951- ) - red.
Systems based on principal component analysis have developed from exploratory data analysis in the past to current data processing applications which encode and decode vectors of data using a changing projection space (eigenspace). Linear systems, which need to be solved to obtain a constantly updated eigenspace, have increased significantly in their dimensions during this evolution. ; The basic scheme used for updating the eigenspace, however, has remained basically the same: (re)computing the eigenspace whenever the error exceeds a predefined threshold. In this paper we propose a computationally efficient eigenspace updating scheme, which specifically supports high-dimensional systems from any domain. ; The key principle is a prior selection of the vectors used to update the eigenspace in combination with an optimized eigenspace computation. The presented theoretical analysis proves the superior reconstruction capability of the introduced scheme, and further provides an estimate of the achievable compression ratios.
Zielona Góra: Uniwersytet Zielonogórski
AMCS, volume 24, number 1 (2014) ; click here to follow the link
Biblioteka Uniwersytetu Zielonogórskiego
Nov 5, 2024
Apr 24, 2024
22
https://zbc.uz.zgora.pl/repozytorium/publication/88733
Edition name | Date |
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An efficient eigenspace updating scheme for high-dimensional systems | Nov 5, 2024 |
Yoshizawa, Shintaro Helmke, Uwe Starkov, Konstantin Fliess, Michel - ed. Jai, Abdelhaq El - ed.
Borowiak, Klaudia Zbierska, Janina Budka, Anna Kayzer, Dariusz Kuczyński, Tadeusz - red.
Tharrault, Yvon Mourot, Gilles Ragot, José Maquin, Didier Korbicz, Józef (1951- ) - ed. Sauter, Dominique - ed.