Averaged recurrence quantification analysis Method omitting the recurrence threshold choice

@article{76901,
   author = {Pánis, Radim and Adámek, Karel and Marwan, Norbert},
   article_number = {1},
   doi = {http://dx.doi.org/10.1140/epjs/s11734-022-00686-4},
   keywords = {Recurrence quantification analysis; signal to noise ratio; determinism; threshold choice; Lorenz system; Logistic map; graphics processing unit},
   language = {eng},
   issn = {1951-6355},
   journal = {EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS},
   title = {Averaged recurrence quantification analysis Method omitting the recurrence threshold choice},
   url = {https://link.springer.com/article/10.1140/epjs/s11734-022-00686-4},
   volume = {232},
   year = {2023}
}

TY  - JOUR
ID  - 76901
AU  - Pánis, Radim - Adámek, Karel - Marwan, Norbert
PY  - 2023
TI  - Averaged recurrence quantification analysis Method omitting the recurrence threshold choice
JF  - EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
VL  - 232
IS  - 1
SP  - 47-56
EP  - 47-56
SN  - 19516355
KW  - Recurrence quantification analysis
KW  - signal to noise ratio
KW  - determinism
KW  - threshold choice
KW  - Lorenz system
KW  - Logistic map
KW  - graphics processing unit
UR  - https://link.springer.com/article/10.1140/epjs/s11734-022-00686-4
N2  - Recurrence quantification analysis (RQA) is a well established method of nonlinear data analysis. In this work, we present a new strategy for an almost parameter-free RQA. The approach finally omits the choice of the threshold parameter by calculating the RQA measures for a range of thresholds (in fact recurrence rates). Specifically, we test the ability of the RQA measure determinism, to sort data with respect to their signal to noise ratios. We consider a periodic signal, simple chaotic logistic equation, and Lorenz system in the tested data set with different and even very small signal-to-noise ratios of lengths 10(2), 10(3), 10(4), and 10(5). To make the calculations possible, a new effective algorithm was developed for streamlining of the numerical operations on graphics processing unit (GPU).
ER  - 

PÁNIS, Radim, Karel ADÁMEK and Norbert MARWAN. Averaged recurrence quantification analysis Method omitting the recurrence threshold choice. \textit{EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS}. 2023, vol.~232, No~1, p.~47-56. ISSN~1951-6355. Available from: https://dx.doi.org/10.1140/epjs/s11734-022-00686-4.