Obiekt
Tytuł: Optimization of the maximum likelihood estimator for determining the intrinsic dimensionality of high-dimensional data
Współtwórca:
Iacono, Mauro - ed. ; Kołodziej, Joanna - ed.
Podtytuł:
Tytuł publikacji grupowej:
Abstract:
One of the problems in the analysis of the set of images of a moving object is to evaluate the degree of freedom of motion and the angle of rotation. Here the intrinsic dimensionality of multidimensional data, characterizing the set of images, can be used. Usually, the image may be represented by a high-dimensional point whose dimensionality depends on the number of pixels in the image. ; The knowledge of the intrinsic dimensionality of a data set is very useful information in exploratory data analysis, because it is possible to reduce the dimensionality of the data without losing much information. In this paper, the maximum likelihood estimator (MLE) of the intrinsic dimensionality is explored experimentally. In contrast to the previous works, the radius of a hypersphere, which covers neighbours of the analysed points, is fixed instead of the number of the nearest neighbours in the MLE. ; A way of choosing the radius in this method is proposed. We explore which metric-Euclidean or geodesic-must be evaluated in the MLE algorithm in order to get the true estimate of the intrinsic dimensionality. The MLE method is examined using a number of artificial and real (images) data sets.
Wydawca:
Zielona Góra: Uniwersytet Zielonogórski
Identyfikator zasobu:
DOI:
Strony:
Źródło:
AMCS, volume 25, number 4 (2015) ; kliknij tutaj, żeby przejść
Jezyk:
Prawa do dysponowania publikacją:
Biblioteka Uniwersytetu Zielonogórskiego
Kolekcje, do których przypisany jest obiekt:
- Repozytorium > Jednostki organizacyjne > Wydział Informatyki, Elektrotechniki i Automatyki
- Repozytorium > Typy utworów > Artykuły
- Repozytorium > Czasopisma naukowe i serie wydawnicze UZ > International Journal of Applied Mathematics and Computer Science (AMCS) > International Journal of Applied Mathematics and Computer Science (AMCS) (2015)
Data ostatniej modyfikacji:
2024-05-06
Data dodania obiektu:
2024-05-06
Liczba wyświetleń treści obiektu:
39 963
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/repozytorium/publication/88926
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International Journal of Applied Mathematics and Computer Science (AMCS)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25, number 1 (2015)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25, number 2 (2015)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25, number 3 (2015)
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International Journal of Applied Mathematics and Computer Science (AMCS), volume 25, number 4 (2015)
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| Nazwa wydania | Data |
|---|---|
| Optimization of the maximum likelihood estimator for determining the intrinsic dimensionality of high-dimensional data | 2024-05-06 |
