Sökning: WFRF:(Katsnelson Mikhail I) >
Multiscale structur...
Multiscale structural complexity of natural patterns
-
- Bagrov, Andrey A. (författare)
- Uppsala universitet,Materialteori,Ural Fed Univ, Theoret Phys & Appl Math Dept, Ekaterinburg 620002, Russia.
-
- Iakovlev, Ilia A. (författare)
- Ural Fed Univ, Theoret Phys & Appl Math Dept, Ekaterinburg 620002, Russia.
-
- Iliasov, Askar A. (författare)
- Radboud Univ Nijmegen, Inst Mol & Mat, NL-6525 AJ Nijmegen, Netherlands.
-
visa fler...
-
- Katsnelson, Mikhail, I (författare)
- Ural Fed Univ, Theoret Phys & Appl Math Dept, Ekaterinburg 620002, Russia.;Radboud Univ Nijmegen, Inst Mol & Mat, NL-6525 AJ Nijmegen, Netherlands.
-
- Mazurenko, Vladimir V. (författare)
- Ural Fed Univ, Theoret Phys & Appl Math Dept, Ekaterinburg 620002, Russia.
-
visa färre...
-
(creator_code:org_t)
- 2020-11-18
- 2020
- Engelska.
-
Ingår i: Proceedings of the National Academy of Sciences of the United States of America. - : NATL ACAD SCIENCES. - 0027-8424 .- 1091-6490. ; 117:48, s. 30241-30251
- Relaterad länk:
-
https://www.pnas.org...
-
visa fler...
-
https://urn.kb.se/re...
-
https://doi.org/10.1...
-
visa färre...
Abstract
Ämnesord
Stäng
- Complexity of patterns is key information for human brain to differ objects of about the same size and shape. Like other innate human senses, the complexity perception cannot be easily quantified. We propose a transparent and universal machine method for estimating structural (effective) complexity of two-dimensional and three-dimensional patterns that can be straightforwardly generalized onto other classes of objects. It is based on multistep renormalization of the pattern of interest and computing the overlap between neighboring renormalized layers. This way, we can define a single number characterizing the structural complexity of an object. We apply this definition to quantify complexity of various magnetic patterns and demonstrate that not only does it reflect the intuitive feeling of what is "complex" and what is "simple" but also, can be used to accurately detect different phase transitions and gain information about dynamics of nonequilibrium systems. When employed for that, the proposed scheme is much simpler and numerically cheaper than the standard methods based on computing correlation functions or using machine learning techniques.
Ämnesord
- NATURVETENSKAP -- Fysik -- Den kondenserade materiens fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Condensed Matter Physics (hsv//eng)
Nyckelord
- pattern formation
- complexity
- renormalization group
- image processing
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas