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:
39 958
Wszystkie dostępne wersje tego obiektu:
https://zbc.uz.zgora.pl/repozytorium/publication/88926
Wyświetl opis w formacie RDF:
Wyświetl opis w formacie OAI-PMH:
-
International Journal of Applied Mathematics and Computer Science (AMCS)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 25 (2015)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 25, number 1 (2015)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 25, number 2 (2015)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 25, number 3 (2015)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 25, number 4 (2015)
- Maintaining the feasibility of hard real-time systems with a reduced number of priority levels
- Torus-connected cycles: A simple and scalable topology for interconnection networks
- Decentralized job scheduling in the cloud based on a spatially generalized "Prisoner`s Dilemma" game
- The "Give and Take" game: Analysis of a resource sharing game
- The non-symmetric s-step Lanczos algorithm: Derivation of efficient recurrences and synchronization-reducing variants of BiCG and QMR
- Ergodicity and perturbation bounds for inhomogeneous birth and death processes with additional transitions from and to the origin
- Observability and controllability analysis for sandwich systems with backlash
- Exponential estimates of a class of time-delay nonlinear systems with convex representations
- Positivity and linearization of a class of nonlinear continuous-time systems by state feedbacks
- Nonlinear state-space predictive control with on-line linearisation and state estimation
- Towards robust predictive fault-tolerant control for a battery assembly system
- Nonlinear system identification with a real-coded genetic algorithm (RCGA)
- A comparative and experimental study on gradient and genetic optimization algorithms for parameter identification of linear MIMO models of a drilling vessel
- Optimization of the maximum likelihood estimator for determining the intrinsic dimensionality of high-dimensional data
- Statistical testing of segment homogeneity in classification of piecewise-regular objects
- Application of cubic box spline wavelets in the analysis of signal singularities
- High dynamic range imaging by perceptual logarithmic exposure merging
- Neural networks as a tool for georadar data processing
- Symbolic computing in probabilistic and stochastic analysis
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 25, number 1 (2015)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 24 (2014)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 23 (2013)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 22 (2012)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 21 (2011)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 20 (2010)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 19 (2009)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 18 (2008)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 17 (2007)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 16 (2006)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 15 (2005)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 13 (2003)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 12 (2002)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 11 (2001)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 10 (2000)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 9 (1999)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 8 (1998)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 7 (1997)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 6 (1996)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 5 (1995)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 4 (1994)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 3 (1993)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 2 (1992)
-
International Journal of Applied Mathematics and Computer Science (AMCS),volume 1 (1991)
-
International Journal of Applied Mathematics and Computer Science (AMCS), volume 26 (2016)
| Nazwa wydania | Data |
|---|---|
| Optimization of the maximum likelihood estimator for determining the intrinsic dimensionality of high-dimensional data | 2024-05-06 |
