AUTHOR=Triplett Marcus A. , Goodhill Geoffrey J. TITLE=Probabilistic Encoding Models for Multivariate Neural Data JOURNAL=Frontiers in Neural Circuits VOLUME=Volume 13 - 2019 YEAR=2019 URL=https://www.frontiersin.org/journals/neural-circuits/articles/10.3389/fncir.2019.00001 DOI=10.3389/fncir.2019.00001 ISSN=1662-5110 ABSTRACT=A key problem in systems neuroscience is to characterise how populations of neurons encode information in their patterns of activity. An understanding of the encoding process is essential both for gaining insight into the origins of perception and for the development of brain-computer interfaces. However, this characterisation is complicated by the highly variable nature of neural responses, and thus usually requires probabilistic methods for analysis. Drawing on techniques from statistical modelling and machine learning, we review recent methods for extracting important variables that quantitatively describe how sensory information is encoded in neural activity. In particular, we discuss methods for estimating receptive fields, modelling neural population dynamics, and inferring low dimensional latent structure from a population of neurons, in the context of both electrophysiology and calcium imaging data.