Abstract

A promising alternative to directly measuring the anatomical connections in a neuronal population is inferring the connections from the activity. We employ simulated spiking neuronal networks to compare and contrast commonly used inference methods that identify likely excitatory synaptic connections using statistical regularities in spike timing. We find that simple adjustments to standard algorithms improve inference accuracy: A signing procedure improves the power of unsigned mutual-information-based approaches and a correction that accounts for differences in mean and variance of background timing relationships, such as those expected to be induced by heterogeneous firing rates, increases the sensitivity of frequency-based methods. We also find that different inference methods reveal distinct subsets of the synaptic network and each method exhibits different biases in the accurate detection of reciprocity and local clustering. To correct for errors and biases specific to single inference algorithms, we combine methods into an ensemble. Ensemble predictions, generated as a linear combination of multiple inference algorithms, are more sensitive than the best individual measures alone, and are more faithful to ground-truth statistics of connectivity, mitigating biases specific to single inference methods. These weightings generalize across simulated datasets, emphasizing the potential for the broad utility of ensemble-based approaches.

Highlights

  • Propagation of activity within neuronal networks is largely determined by underlying synaptic connectivity (Gerstein & Perkel, 1969; Kumar, Rotter, & Aertsen, 2010; Lindsey, Morris, Shannon, & Gerstein, 1997)

  • Mapping the routing of spikes through local circuitry is crucial for understanding neocortical computation. These maps can be used to infer likely patterns of synaptic recruitment, linking activity to underlying anatomical connections. Such inferences help to reveal the synaptic implementation of population dynamics and computation

  • We show that an ensemble approach reveals a more extensive subset of the synaptic network, and one that is more faithful to the true statistics of the synaptic recruitment network measured in our simulations

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Summary

Introduction

Propagation of activity within neuronal networks is largely determined by underlying synaptic connectivity (Gerstein & Perkel, 1969; Kumar, Rotter, & Aertsen, 2010; Lindsey, Morris, Shannon, & Gerstein, 1997) This link has been demonstrated using recordings from pairs and small groups of neurons and has provided insights into plasticity processes (Kruskal, Li, & MacLean, 2013; Lalanne, Abrahamsson, & Sjöström, 2016), circuit structure (Ko et al, 2011; Perin, Berger, & Markram, 2011; Song, Sjöström, Reigl, Nelson, & Chklovskii, 2005), and noise correlations (Hofer et al, 2011). In this paper we compare and contrast the performance of a number of common inference methods, identify biases specific to individual inference methods, and combine them in an ensemble to mitigate these biases and improve inference of synaptic connectivity within large networks of neurons

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