Neural manifolds The Geometry of Behaviour
This video is my take on 3B1B s Summer of Math Exposition (SoME) competition It explains in pretty intuitive terms how ideas from topology (or rubber geometry ) can be used in neuroscience, to help us understand the way information is embedded in highdimensional representations inside neural circuits OUTLINE: 00:00 Introduction 01:34 Brief neuroscience background 06:23 Topology and the notion of a manifold 11:48 Dimension of a manifold 15:06 Number of holes (genus) 18:49 Putting it all together Main paper: Chaudhuri, R., Gerçek, B., Pandey, B., Peyrache, A. Fiete, I. The intrinsic attractor manifold and population dynamics of a canonical cognitive circuit across waking and sleep. Nat Neurosci 22, 15121520 (2019). Other relevant references: 1. Jazayeri, M. Ostojic, S. Interpreting neural computations by examining intrinsic and embedding dimensionality of neural activity. qbio (2021). 2. Gallego, J. A., Perich, M. G., Chowdhury, R.
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