nips nips2007 nips2007-127 nips2007-127-reference knowledge-graph by maker-knowledge-mining
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Author: Justin Dauwels, François Vialatte, Tomasz Rutkowski, Andrzej S. Cichocki
Abstract: A novel approach to measure the interdependence of two time series is proposed, referred to as “stochastic event synchrony” (SES); it quantifies the alignment of two point processes by means of the following parameters: time delay, variance of the timing jitter, fraction of “spurious” events, and average similarity of events. SES may be applied to generic one-dimensional and multi-dimensional point processes, however, the paper mainly focusses on point processes in time-frequency domain. The average event similarity is in that case described by two parameters: the average frequency offset between events in the time-frequency plane, and the variance of the frequency offset (“frequency jitter”); SES then consists of five parameters in total. Those parameters quantify the synchrony of oscillatory events, and hence, they provide an alternative to existing synchrony measures that quantify amplitude or phase synchrony. The pairwise alignment of point processes is cast as a statistical inference problem, which is solved by applying the maxproduct algorithm on a graphical model. The SES parameters are determined from the resulting pairwise alignment by maximum a posteriori (MAP) estimation. The proposed interdependence measure is applied to the problem of detecting anomalies in EEG synchrony of Mild Cognitive Impairment (MCI) patients; the results indicate that SES significantly improves the sensitivity of EEG in detecting MCI.
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[20] Measure Granger coherence Partial Coherence PDC DTF ffDTF dDTF p-value 0.15 0.16 0.60 0.34 0.0012∗∗ 0.030∗ Measure Kullback-Leibler R´ nyi e Jensen-Shannon Jensen-R´ nyi e IW I p-value 0.072 0.076 0.084 0.12 0.060 0.080 Measure Nk Sk Hk S-estimator p-value 0.032∗ 0.29 0.090 0.33 Wavelet Phase Evolution Map Instantaneous Period 0.082 0.072
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[15] Measure Hilbert Phase p-value 0.15
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[24] 0.020∗
[19] Measure st ρspur p-value 0.91 0.00021∗∗ Table 2: Sensitivity of synchrony measures for early prediction of AD (p-values for Mann-Whitney test; * and ** indicate p < 0.05 and p < 0.005 respectively). N k , S k , and H k are three measures of nonlinear interdependence [15]. 7 0.45 fspur ρspur 0.3 0.25 18 17 0.35 19 18 17 fnon-spur 19 MCI CTR 0.4 16 15 0.2 14 16 15 14 0.15 13 0.1 0.045 0.05 2 Fij 0.055 (a) ρspur vs. ffDTF 0.06 12 13 MCI CTR 12 CTR MCI (b) Av. frequency of the spuri- (c) Av. frequency of the nonous activity (p = 0.87) spurious activity (p = 0.0019) Figure 5: Results.
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