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A test of multiple correlation temporal window characteristic of non-Markov processes

机译:非马尔可夫过程的多重相关时间窗特性检验

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摘要

We introduce a sensitive test of memory effects in successive events. The test consists of a combination K of binary correlations at successive times. K decays monotonically from K = 1 for uncorrelated events as a Markov process. For a monotonic memory fading, K < 1 always. Here we report evidence of a K > 1 temporal window in cognitive tasks consisting of the visual identification of the front face of the Necker cube after a previous presentation of the same. We speculate that memory effects provide a temporal window with K > 1 and this experiment could be a possible first step towards a better comprehension of this phenomenon. The K > 1 behaviour is maximal at an inter-measurement time tau around 2 s with inter-subject differences. The K > 1 persists over a time window of 1 s around tau; outside this window the K < 1 behaviour is recovered. The universal occurrence of a K > 1 window in pairs of successive perceptions suggests that, at variance with single visual stimuli eliciting a suitable response, a pair of stimuli shortly separated in time displays mutual correlations.
机译:我们对连续事件中的记忆效应进行了敏感测试。该测试由连续时间的二进制相关性组合K组成。对于不相关的事件,作为马尔可夫过程,K从K = 1单调衰减。对于单调记忆衰落,K <1始终。在这里,我们报告了认知任务中K> 1的时间窗的证据,该时间窗由Necker立方体的前一个表面的可视化识别组成。我们推测记忆效应提供了一个K> 1的时间窗,并且该实验可能是迈向更好地理解这一现象的第一步。 K> 1行为在2 s左右的测量时间tau处最大,受试者之间存在差异。 K> 1在tau周围1 s的时间窗口内持续存在;在此窗口之外,恢复了K <1行为。 K> 1窗口在成对的连续感知中的普遍出现表明,在单个视觉刺激引起适当响应的方差下,时间上短暂分离的一对刺激显示出相互关系。

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