Permutation-based time irreversibility in epileptic electroencephalograms

Yao, Wenpo; Dai, Jiao; Perc, Matjaž; Wang, Jun; Yao, Dezhong; Guo, Daqing

doi:10.1007/s11071-020-05506-9

Cited by 30 publications

(44 citation statements)

References 60 publications

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“…Given that the irreversibility of a dynamical system is related to its entropy production and to its performance as a thermal machine, it is not surprising to find numerous applications of this concept to the study of the human brain [7][8][9][10] . Specifically, if a disease or condition is impairing the self-organising capabilities of the brain, this should reflect in an abnormal (either higher or smaller) time irreversibility, and the latter could therefore be used as a marker of the former.…”

Section: A Brain Electroencephalographic Datamentioning

confidence: 99%

“…Examples include Parkinson's disease and time series representing the tremors it generates 6 ; brain dynamics, as e.g. electroencephalographic (EEG) recordings of epileptic patients [7][8][9] and in other pathologies 10 ; human gait 11,12 ; and cardiac dynamics in different conditions [13][14][15][16] . Besides biology, time irreversibility has also been studied in, e.g., ecological and epidemiological time series 17,18 , and finance [19][20][21] .…”

Section: Introductionmentioning

confidence: 99%

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Assessing time series irreversibility through micro-scale trends

Zanin

2021

Preprint

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Section: A Brain Electroencephalographic Datamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Assessing time series irreversibility through micro-scale trends

Zanin

2021

Preprint

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“…Equal values have an important role in the ordinal scheme and have significant effects on permutation analysis [8,9,10,11]. Moreover, in time irreversibility, vectors containing equal states might be self-symmetric (the same as their symmetric form), with a specific physical implication, i.e., time reversibility or symmetry [5,8,9,12]. Therefore, equal values should not be neglected by simply adding small random perturbations or just be arranged following their orders of occurrence.…”

Section: Equal Values In Ordinal Patternsmentioning

confidence: 99%

“…Therefore, the AmP reliably reflects vector temporal structures. This feature is particularly relevant for time irreversibility because the symmetric forms in the AmPs directly illustrate time symmetry and reversibility, avoiding the possible conceptual errors caused by the OrPs [8,9,12].…”

Section: The Orp Amp and Symmetric Vectorsmentioning

confidence: 99%

Comparative analysis of the original and amplitude permutations

Yao,

Wang

2021

Preprint

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We compare the two basic ordinal patterns, i.e., the original and amplitude permutations, used to characterize vector structures. The original permutation consists of the indexes of reorganized values in the original vector. By contrast, the amplitude permutation comprises the positions of values in the reordered vector, and it directly reflects the temporal structure. To accurately convey the structural characteristics of vectors, we modify indexes of equal values in permutations to be the same as, for example, the smallest or largest indexes in each group of equalities. Overall, we clarify the relationship between the original and amplitude permutations. And the results have implications for time-and amplitude-symmetric vectors and will lead to further theoretical and experimental studies.

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“…Statistically speaking, to quantify TIR, one could measure the probabilistic differences either between forward and backward series or between symmetric vectors [3,4]; the latter approach is preferable because of its real-time advantage. However, joint probability estimation for symmetric vectors is not trivial, particularly for unknown complex systems.…”

Section: Introductionmentioning

confidence: 99%

Time irreversibility and amplitude irreversibility measures for nonequilibrium processes

Yao,

Wang,

Perc

et al. 2020

Preprint

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Time irreversibility, which characterizes nonequilibrium processes, can be measured based on the probabilistic differences between symmetric vectors. To simplify the quantification of time irreversibility, symmetric permutations instead of symmetric vectors have been employed in some studies. However, although effective in practical applications, this approach is conceptually incorrect. Time irreversibility should be measured based on the permutations of symmetric vectors rather than symmetric permutations, whereas symmetric permutations can instead be employed to determine the quantitative amplitude irreversibility -a novel parameter proposed in this paper for nonequilibrium calculated by means of the probabilistic difference in amplitude fluctuations. Through theoretical and experimental analyses, we highlight the strong similarities and close associations between the time irreversibility and amplitude irreversibility measures. Our paper clarifies the connections of and the differences between the two types of permutation-based parameters for quantitative nonequilibrium, and by doing so, we bridge the concepts of amplitude irreversibility and time irreversibility and broaden the selection of quantitative tools for studying nonequilibrium processes in complex systems.

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Permutation-based time irreversibility in epileptic electroencephalograms

Cited by 30 publications

References 60 publications

Assessing time series irreversibility through micro-scale trends

Assessing time series irreversibility through micro-scale trends

Comparative analysis of the original and amplitude permutations

Time irreversibility and amplitude irreversibility measures for nonequilibrium processes

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