Quantifying self-organization with optimal wavelets
Apstrakt
An optimal wavelet basis is used to develop a quantitative, experimentally applicable criterion for self-organization. The choice of the optimal wavelet is based on the model of selforganization in the wavelet tree. The framework of the model is founded on the wavelet-domain hidden Markov model and the optimal wavelet basis criterion for self-organization. The principle assumes increase in statistical complexity considered as the information content necessary for maximally accurate prediction of the systems dynamics. The causal states and the wavelet machine (w-machine) are defined in analogy with the epsilon-machine constructed as the unique, minimal, predictive model of the process. The method, presented here for the one-dimensional data, concurrently performs superior denoising and may be easily generalized to higher dimensions. Copyright (C) EPLA, 2013
Izvor:
Europhysics Letters / EPL, 2013, 102, 4Finansiranje / projekti:
- Napredne analitičke, numeričke i metode analize primenjene mehanike fluida i kompleksnih sistema (RS-MESTD-Basic Research (BR or ON)-174014)
- Razvoj novih informaciono-komunikacionih tehnologija, korišćenjem naprednih matematičkih metoda, sa primenama u medicini, telekomunikacijama, energetici, zaštititi nacionalne baštine i obrazovanju (RS-MESTD-Integrated and Interdisciplinary Research (IIR or III)-44006)
DOI: 10.1209/0295-5075/102/40004
ISSN: 0295-5075; 1286-4854
WoS: 000321118600005
Scopus: 2-s2.0-84880521324
Kolekcije
Institucija/grupa
VinčaTY - JOUR AU - Milovanović, Miloš AU - Rajković, Milan PY - 2013 UR - https://vinar.vin.bg.ac.rs/handle/123456789/5569 AB - An optimal wavelet basis is used to develop a quantitative, experimentally applicable criterion for self-organization. The choice of the optimal wavelet is based on the model of selforganization in the wavelet tree. The framework of the model is founded on the wavelet-domain hidden Markov model and the optimal wavelet basis criterion for self-organization. The principle assumes increase in statistical complexity considered as the information content necessary for maximally accurate prediction of the systems dynamics. The causal states and the wavelet machine (w-machine) are defined in analogy with the epsilon-machine constructed as the unique, minimal, predictive model of the process. The method, presented here for the one-dimensional data, concurrently performs superior denoising and may be easily generalized to higher dimensions. Copyright (C) EPLA, 2013 T2 - Europhysics Letters / EPL T1 - Quantifying self-organization with optimal wavelets VL - 102 IS - 4 DO - 10.1209/0295-5075/102/40004 ER -
@article{ author = "Milovanović, Miloš and Rajković, Milan", year = "2013", abstract = "An optimal wavelet basis is used to develop a quantitative, experimentally applicable criterion for self-organization. The choice of the optimal wavelet is based on the model of selforganization in the wavelet tree. The framework of the model is founded on the wavelet-domain hidden Markov model and the optimal wavelet basis criterion for self-organization. The principle assumes increase in statistical complexity considered as the information content necessary for maximally accurate prediction of the systems dynamics. The causal states and the wavelet machine (w-machine) are defined in analogy with the epsilon-machine constructed as the unique, minimal, predictive model of the process. The method, presented here for the one-dimensional data, concurrently performs superior denoising and may be easily generalized to higher dimensions. Copyright (C) EPLA, 2013", journal = "Europhysics Letters / EPL", title = "Quantifying self-organization with optimal wavelets", volume = "102", number = "4", doi = "10.1209/0295-5075/102/40004" }
Milovanović, M.,& Rajković, M.. (2013). Quantifying self-organization with optimal wavelets. in Europhysics Letters / EPL, 102(4). https://doi.org/10.1209/0295-5075/102/40004
Milovanović M, Rajković M. Quantifying self-organization with optimal wavelets. in Europhysics Letters / EPL. 2013;102(4). doi:10.1209/0295-5075/102/40004 .
Milovanović, Miloš, Rajković, Milan, "Quantifying self-organization with optimal wavelets" in Europhysics Letters / EPL, 102, no. 4 (2013), https://doi.org/10.1209/0295-5075/102/40004 . .