Impact of Higher-Order Correlations on Coincidence Distributions of Massively Parallel Data
- Sonja GrünAffiliated withTheoretical Neuroscience Group, RIKEN Brain Science Institute
- , Moshe AbelesAffiliated withGonda Brain Research Center, Bar Ilan University
- , Markus DiesmannAffiliated withTheoretical Neuroscience Group, RIKEN Brain Science Institute
The signature of neuronal assemblies is the higher-order correlation structure of the spiking activity of the participating neurons. Due to the rapid progress in recording technology the massively parallel data required to search for such signatures are now becoming available. However, existing statistical analysis tools are severely limited by the combinatorial explosion in the number of spike patterns to be considered. Therefore, population measaures need to be constructed reducing the number of tests and the recording time required, potentially for the price of being able to answer only a restricted set of questions.
Here we investigate the population histogram of the time course of neuronal activity as the simplest example. The amplitude distribution of this histogram is called the complexity distribution. Independent of neuron identity it describes the probability to observe a particular number of synchronous spikes.
On the basis of two models we illustrate that in the presence of higher-order correlations already the complexity distribution exhibits characteristic deviations from expectation. The distribution reflects the presence of correlation of a given order in the data near the corresponding complexity. However, depending on the details of the model also the regime of low complexities may be perturbed.
In conclusion we propose that, for certain research questions, new statistical tools can overcome the problems caused by the combinatorial explosion in massively parallel recordings by evaluating features of the complexity distribution.
Keywords and Phrasesspike synchronization higher-order synchrony massively parallel spike trains
- Impact of Higher-Order Correlations on Coincidence Distributions of Massively Parallel Data
- Book Title
- Dynamic Brain - from Neural Spikes to Behaviors
- Book Subtitle
- 12th International Summer School on Neural Networks, Erice, Italy, December 5-12, 2007, Revised Lectures
- pp 96-114
- Print ISBN
- Online ISBN
- Series Title
- Lecture Notes in Computer Science
- Series Volume
- Series ISSN
- Springer Berlin Heidelberg
- Copyright Holder
- Springer-Verlag Berlin Heidelberg
- Additional Links
- spike synchronization
- higher-order synchrony
- parallel spike trains
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- Editor Affiliations
- 1. Dipartimento di Fisica “E.R. Caianiello”, Università degli Studi di Salerno
- 2. Laboratory for Dynamics of Emergent Intelligence, RIKEN Brain Science Institute
- Author Affiliations
- 3. Theoretical Neuroscience Group, RIKEN Brain Science Institute, 2-1 Hirosawa, Wako-Shi, 351-0198, Saitama, Japan
- 4. Gonda Brain Research Center, Bar Ilan University, Ramat Gan, 52900, Israel
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