- Tytuł:
- An efficient eigenspace updating scheme for high-dimensional systems
- Autorzy:
-
Gangl, S.
Mongus, D.
Žalik, B. - Powiązania:
- https://bibliotekanauki.pl/articles/330681.pdf
- Data publikacji:
- 2014
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
eigenspace updating
projection space
data compression
principal component analysis
przestrzeń rzutowa
kompresja danych
analiza składowych głównych - Opis:
- 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.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2014, 24, 1; 123-131
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł