Modeling the correlated activity of neural populations: A review
Christophe Gardella, Olivier Marre, Thierry Mora

TL;DR
This review discusses recent modeling and inference methods for understanding correlated neural activity in large populations, highlighting advances, challenges, and the importance of collective neural effects in brain function.
Contribution
It provides a comprehensive overview of recent models for neural correlations, comparing their advantages, limitations, and computational challenges.
Findings
Recent experimental techniques enable recording from many neurons simultaneously.
Various models describe pairwise and group correlations with different assumptions.
Computational challenges increase with larger neural populations.
Abstract
The principles of neural encoding and computations are inherently collective and usually involve large populations of interacting neurons with highly correlated activities. While theories of neural function have long recognized the importance of collective effects in populations of neurons, only in the past two decades has it become possible to record from many cells simulatenously using advanced experimental techniques with single-spike resolution, and to relate these correlations to function and behaviour. This review focuses on the modeling and inference approaches that have been recently developed to describe the correlated spiking activity of populations of neurons. We cover a variety of models describing correlations between pairs of neurons as well as between larger groups, synchronous or delayed in time, with or without the explicit influence of the stimulus, and including or…
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