Discrete and Combinatorial Mathematics: An Applied Introduction
Discrete and Combinatorial Mathematics: An Applied Introduction
Information-geometric measure for neural spikes
Neural Computation
Spatially organized spike correlation in cat visual cortex
Neurocomputing
A rate and history-preserving resampling algorithm for neural spike trains
Neural Computation
CuBIC: cumulant based inference of higher-order correlations in massively parallel spike trains
Journal of Computational Neuroscience
Random bin for analyzing neuron spike trains
Computational Intelligence and Neuroscience - Special issue on Computational Intelligence in Biomedical Science and Engineering
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The efficient detection of higher-order synchronization in massively parallel data is of great importance in understanding computational processes in the cortex and represents a significant statistical challenge. To overcome the combinatorial explosion of different spike patterns taking place as the number of neurons increases, a method based on population measures would prove very useful. Following previous work in this direction, we examine the distribution of spike counts across neurons per time bin ('complexity distribution') and devise a method to reliably extract the size and temporal precision of synchronous groups of neurons, even in the presence of strong rate covariations.