Efficient approximation of neural population structure and correlations with probabilistic circuits

Koosha Khalvati, Samantha Johnson, Stefan Mihalas, Michael A Buice

Keywords: Computational neuroscience, Probabilistic circuits, Sum Product networks, AI for science

TL;DR: We present a computationally efficient generative model for a wide range of population structures with higher order correlations and a large number of neurons.

Abstract: We present a computationally efficient framework to model a wide range of population structures with high order correlations and a large number of neurons. Our method is based on a special type of Bayesian network that has linear inference time and is founded upon the concept of contextual independence. Moreover, we use an efficient architecture learning method for network selection to model large neural populations even with a small amount of data. Our framework is both fast and accurate in approximating neural population structures. Furthermore, our approach enables us to reliably quantify higher order neural correlations. We test our method on simulated neural populations commonly used to generate higher order correlations, as well as on publicly available large-scale neural recordings from the Allen Brain Observatory. Our approach significantly outperforms other models both in terms of statistical measures and alignment with experimental evidence.

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Please Choose The Closest Area That Your Submission Falls Into: Neuroscience and Cognitive Science (e.g., neural coding, brain-computer interfaces)