Calculation of the Exact Value of the Fractal Dimension in the Time Series for the Box-Counting Method

被引：0

作者：

Kaminsky, Roman ^{[1
]}

Mochurad, Lesia ^{[1
]}

Shakhovska, Nataliya ^{[1
]}

Melnykova, Nataliya ^{[1
]}

机构：

[1] Lviv Polytech Natl Univ, Dept Artificial Intelligence, Lvov, Ukraine

来源：

2019 9TH INTERNATIONAL CONFERENCE ON ADVANCED COMPUTER INFORMATION TECHNOLOGIES (ACIT'2019) | 2019年

关键词：

time series; fractal dimension; box-grid method;

D O I：

10.1109/acitt.2019.8780028

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, the problem of precise determination of the size of the fractal dimension of the time series is considered. The bottom line is that the classical box method equally takes into account both filled and not filled boxes of the superimposed grid. In the proposed method, the size of the boxes is tied to the scale of the values of the time series levels. As a result, there is a minimum coverage of the graph, which provides the exact value of the fractal dimension. The comparison of estimates of fractal dimension calculated by classical and proposed methods is given.

引用

页码：248 / 251

页数：4

共 11 条

[1]

[Anonymous], 2018, ANM, V3, P29

[2]

Boyko N., 2018, 7 MED C EMB COMP MEC, P1, DOI DOI 10.1109/MECO.2018.8405985

[3] Advances in the implementation of the box-counting method of fractal dimension estimation [J].

Foroutan-pour, K ;

Dutilleul, P ;

Smith, DL .

APPLIED MATHEMATICS AND COMPUTATION, 1999, 105 (2-3) :195-210

[4]

Lahmiri S, 2016, SPR SER COMPUT NEURO, P295, DOI 10.1007/978-1-4939-3995-4_19

[5]

Orzeszko W., 2010, ACTA U NICOLAI COPER, V41, P57

[6]

Peters EdgarE., 1996, Chaos and order in the capital markets: a new view of cycles, prices, and market volatility, V1

[7]

Przekota G., 2004, Badania Operacyjne i Decyzje, P67

[8]

Raghavendra B.S., 2010, International Journal of Information and Mathematical Sciences, V6, P50, DOI [DOI 10.5281/ZENODO.1057349, 10.5281/zenodo.1057349]

[9] The Identification of the Operator's Systems Images Using the Method of the Phase Portrait [J].

Shakhovska, Natalya ;

Nych, Lilia ;

Kaminskyj, Roman .

ADVANCES IN INTELLIGENT SYSTEMS AND COMPUTING, CSIT 2016, 2017, 512 :241-253

[10] Block rotation: Tectonic response of the Sichuan basin to the southeastward growth of the Tibetan Plateau along the Xianshuihe-Xiaojiang fault [J].

Wang, Erchie ;

Meng, Kai ;

Su, Zhe ;

Meng, Qingren ;

Chu, Jean J. ;

Chen, Zhiliang ;

Wang, Gang ;

Shi, Xuhua ;

Liang, Xinquan .

TECTONICS, 2014, 33 (05) :686-717

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