Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Martin Dlask"'
Publikováno v:
PLoS ONE, Vol 14, Iss 7, p e0214427 (2019)
Biological systems manifest continuous weak autoluminescence, which is present even in the absence of external stimuli. Since this autoluminescence arises from internal metabolic and physiological processes, several works suggested that it could carr
Externí odkaz:
https://doaj.org/article/3d45bf8c0a3f4a8789f9f1891ec7455a
Autor:
Jaromir Kukal, Martin Dlask
Publikováno v:
Signal, Image and Video Processing. 15:1435-1442
Exact estimation of Hurst exponent from a signal is a complex task that determines the fractional character of the investigated sample. In this work, we propose a maximum likelihood technique using Wishart distribution and autocorrelation structure o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::31b651acae57557eac4d47ddd89a216b
https://doi.org/10.1007/s11760-021-01875-9
https://doi.org/10.1007/s11760-021-01875-9
Autor:
Jaromir Kukal, Martin Dlask
Publikováno v:
Physica A: Statistical Mechanics and its Applications. 585:126424
The work presents a methodology to precise simulation and parameter estimation of multidimensional fractional Brownian motion (fBm). The simulation approach uses circulant embedding algorithm and solution of Poisson equation, while generalizing it to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41da2008a51227ce3d6f974e82c0a0bb
https://doi.org/10.1016/j.physa.2021.126424
https://doi.org/10.1016/j.physa.2021.126424
Autor:
Martin Dlask, Jaromir Kukal
Publikováno v:
Chaos, Solitons & Fractals. 114:536-541
A fractal dimension is a non-integer characteristic that measures the space filling of an arbitrary set. The conventional methods usually provide a biased estimation of the fractal dimension, and therefore it is necessary to develop more complex meth
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4523c9dcdfb1ea3877a4ddcd5c3fe1a0
https://doi.org/10.1016/j.chaos.2018.07.030
https://doi.org/10.1016/j.chaos.2018.07.030
Autor:
Martin Dlask, Jaromir Kukal
Publikováno v:
Signal, Image and Video Processing. 13:263-269
Fractal investigation of time series is very complex for several reasons. Due to the existence of fully continuous model, on which the majority of conventional methods are based, the quality of Hurst exponent estimate is often influenced by the numbe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5434870b8dfcd46cbcd7ee2bb9956a72
https://doi.org/10.1007/s11760-018-1353-2
https://doi.org/10.1007/s11760-018-1353-2
Autor:
Jaromir Kukal, Martin Dlask
Publikováno v:
Chaos, Solitons & Fractals. 99:256-262
Correlation dimension is one of the many types of fractal dimension. It is usually estimated from a finite number of points from a fractal set using correlation sum and regression in a log-log plot. However, this traditional approach requires a large
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::36387c879b11d78de50524f4b959f1a6
https://doi.org/10.1016/j.chaos.2017.04.026
https://doi.org/10.1016/j.chaos.2017.04.026
Publikováno v:
Methodology and Computing in Applied Probability. 19:973-983
Fractal investigation of a signal often involves estimating its fractal dimension or Hurst exponent H when considered as a sample of a fractional process. Fractional Gaussian noise (fGn) belongs to the family of self-similar fractional processes and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::429b26d0809155601d80dd7dc0d2c95d
https://doi.org/10.1007/s11009-017-9543-x
https://doi.org/10.1007/s11009-017-9543-x
Publikováno v:
PLoS ONE, Vol 14, Iss 7, p e0214427 (2019)
PLoS ONE
PLoS ONE
Biological systems manifest continuous weak autoluminescence, which is present even in the absence of external stimuli. Since this autoluminescence arises from internal metabolic and physiological processes, several works suggested that it could carr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9cd1abbaf8e70e164835f05bb7055028
Publikováno v:
2018 International Conference on Signal Processing and Information Security (ICSPIS).
A number of biomedical data can be investigated using methods of fractal geometry. A measurement of their nonlinear character and chaoticity can be used for subsequent data classification or irregularity detection. In this paper, we introduce the met
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1bdb235020eb790adc0dee0e8dd8a56
https://doi.org/10.1109/cspis.2018.8642720
https://doi.org/10.1109/cspis.2018.8642720
Autor:
Jaromir Kukal, Martin Dlask
Publikováno v:
Proceedings of the International Conference on Bioinformatics Research and Applications 2017.
Biomedical data often carry chaotic character that can be investigated with the tools of fractal geometry. Correlation dimension is a suitable measure that can be used for the analysis of EEG signal in order to discover Alzheimer disease (AD). Howeve
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::57af91d849965d225b43a4586225512a
https://doi.org/10.1145/3175587.3175591
https://doi.org/10.1145/3175587.3175591