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#manifolds — Public Fediverse posts

Live and recent posts from across the Fediverse tagged #manifolds, aggregated by home.social.

  1. 🧠 New paper by Pezon, Schmutz & Gerstner: Linking #NeuralManifolds to circuit structure in recurrent networks.

    The study connects two common views of neural activity: low-dimensional #PopulationDynamics (“neural manifolds”) and single-neuron selectivity. Using recurrent network models, the authors show how circuit connectivity constrains both the geometry of neural #manifolds and the tuning of individual neurons.

    📄 doi.org/10.1016/j.neuron.2025.

    #Neuroscience #NeuralDynamics #CompNeuro #RNN

  2. 📚 New Nat Rev Neurosci #JournalClub by @juangallego: Neural #manifolds: more than the sum of their neurons. He reflects on the shift from single-neuron mappings to population-level #ManifoldRepresentations and suggests that neural manifolds might capture fundamental principles of neural computation and do not just serve as interpretative tools 👍

    🌍 doi.org/10.1038/s41583-025-009

    #Neuroscience #CompNeuro #NeuralManifolds

  3. @axoaxonic Indeed! Here, for everyone else, is the link to the article I originally posted by mistake:

    🌍 cell.com/trends/cognitive-scie
    📝 Scott, Daniel N. et al. , Thalamocortical architectures for flexible cognition and efficient learning, 2024, Trends in Cognitive Sciences, Volume 28, Issue 8, 739 - 756

    #CompNeuro #Neuroscience #NeuralManifolds #manifolds

  4. I've worked out that the injectivity radius under the Euclidean metric for the #unitary group U(n) is π and for real and special subgroups O(n), SO(n), and SU(n) is π√2.

    This seems like a pretty basic property, but I can't find a single reference that gives the injectivity radii for any of these groups. Anyone know of one?

    #DifferentialGeometry #LieGroups #Manifolds