When do microcircuits produce beyond-pairwise correlations?

Andrea K. Barreiro, Julijana Gjorgjieva, Fred Rieke, Eric Shea-Brown

Research output: Contribution to journalArticlepeer-review

20 Scopus citations


Describing the collective activity of neural populations is a daunting task. Recent empirical studies in retina, however, suggest a vast simplification in how multi-neuron spiking occurs: the activity patterns of retinal ganglion cell (RGC) populations under some conditions are nearly completely captured by pairwise interactions among neurons. In other circumstances, higher-order statistics are required and appear to be shaped by input statistics and intrinsic circuit mechanisms. Here, we study the emergence of higher-order interactions in a model of the RGC circuit in which correlations are generated by common input. We quantify the impact of higher-order interactions by comparing the responses of mechanistic circuit models vs. "null" descriptions in which all higher-than-pairwise correlations have been accounted for by lower order statistics; these are known as pairwise maximum entropy (PME) models. We find that over a broad range of stimuli, output spiking patterns are surprisingly well captured by the pairwise model. To understand this finding, we study an analytically tractable simplification of the RGC model. We find that in the simplified model, bimodal input signals produce larger deviations from pairwise predictions than unimodal inputs. The characteristic light filtering properties of the upstream RGC circuitry suppress bimodality in light stimuli, thus removing a powerful source of higher-order interactions. This provides a novel explanation for the surprising empirical success of pairwise models.

Original languageEnglish
Article number10
JournalFrontiers in Computational Neuroscience
Issue numberFEB
StatePublished - 6 Feb 2014
Externally publishedYes


  • Computational model
  • Correlations
  • Maximum entropy distribution
  • Retinal ganglion cells
  • Stimulus-driven


Dive into the research topics of 'When do microcircuits produce beyond-pairwise correlations?'. Together they form a unique fingerprint.

Cite this