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 high-dimensional 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, 1512–1520 (2019). _________________________ Other relevant references: , M. & Ostojic, S. Interpreting neural computations by examining intrinsic and embedding dimensionality of neural activity. arXiv: [q-bio] (2021). , J. A., Perich, M. G., Chowdhury, R.