A Novel Multiscale Cross-Entropy Method Applied to Navigation Data Acquired with a Bike Simulator

Jamin, Antoine; Duval, Guillaume; Annweiler, Cédric; Ábrahám, Pierre; Humeau-Heurtier, Anne

doi:10.1109/embc.2019.8856815

Cited by 3 publications

(2 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The time-shift procedure illustrates the fractal dimension of a signal. This method has been recently used with entropy and cross-entropy measures [ 17 , 37 , 38 , 39 ]. HFD shows stable numerical results for stationary, non-stationary, deterministic, and stochastic time series [ 40 ].…”

Section: Multiscale Proceduresmentioning

confidence: 99%

“…In 2009, Yan et al proposed a multiscale approach for cross-entropy methods to quantify the dynamical characteristics of coupling behavior between two sequences on multiple scale factors [ 15 ]. Then, other multiscale procedures have been published with different cross-entropy methods [ 16 , 17 ]. Multiscale cross-entropy methods have recently been used in different research fields, including medicine [ 18 , 19 , 20 , 21 ], finance [ 6 , 9 ], civil engineering [ 22 ], and the environment [ 23 ].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

(Multiscale) Cross-Entropy Methods: A Review

Jamin,

Humeau-Heurtier

2019

Entropy

Self Cite

View full text Add to dashboard Cite

Cross-entropy was introduced in 1996 to quantify the degree of asynchronism between two time series. In 2009, a multiscale cross-entropy measure was proposed to analyze the dynamical characteristics of the coupling behavior between two sequences on multiple scales. Since their introductions, many improvements and other methods have been developed. In this review we offer a state-of-the-art on cross-entropy measures and their multiscale approaches.Entropy 2020, 22, 45 2 of 15 higher than the other air quality impact factor which reveals that fine particulate matter has become the main source of air pollution in China.Our paper presents a state-of-the-art in three sections: First, the cross-entropy methods are introduced. We detail, in the second section, different multiscale procedures. A multiscale cross-entropy generalization is presented and other specific multiscale cross-entropy algorithms are proposed in the third section. Cross-Entropy MethodsIn this section, we classify cross-entropy methods according to their entropy measures: Cross-approximate entropy, cross-sample entropy, and cross-distribution entropy. Other methods that use different cross-entropy-based measures are also detailed. Table 1 shows the twelve measures that are detailed in this section.

show abstract