ArticleNature neuroscience2019
The intrinsic attractor manifold and population dynamics of a canonical cognitive circuit across waking and sleep.
Article in Nature neuroscience, 2019. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 182 papers.
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Who cites it
182 citing papers in PubMed.
- Article
- Symmetries and continuous attractors in disordered neural circuits.Nature neuroscience · 2026Article
- Ring attractor networks go full circle.Nature neuroscience · 2026Article
- A geniculocortical circuit model predicts functional organization underlying efficient spatial frequency coding in the mouse visual system.bioRxiv : the preprint server for biology · 2026Article
- Principal bundle geometry of qualia: Understanding the quality of consciousness from symmetry.PNAS nexus · 2026Article
- Article
- Tracking the Fidelity of Internal Neural Representations with Error-In-Variables Regression.bioRxiv : the preprint server for biology · 2026Article
- Learning shapes neural geometry in the primate prefrontal cortex.Nature neuroscience · 2026Article
- Sleep reveals dynamics integrating and segregating movement and stimulus representations in V1.Nature communications · 2026Article
- Combining sampling and attractor dynamics in spiking models of head direction systems.PLoS computational biology · 2026Article
- Article
- Article
- A Two-Dimensional Grid-Cell Code for Three-Dimensional Navigation in Freely Flying Bats.bioRxiv : the preprint server for biology · 2026Article
- Primary cilia and neural computation.Journal of biomedical science · 2026Review
- The hippocampus as a small-world cognitive map.bioRxiv : the preprint server for biology · 2026Article
- Months-long stability of the head-direction system.Nature · 2026Article
- Regional specialization in prefrontal cortex manifests in the reliability of task progression codes.Neuron · 2026Article
- Directional dynamics in the entorhinal cortex of male mice driven by behavioral constraints.Nature communications · 2026Article
- Review
- Learning of visual sequences by neurons in the human hippocampus.bioRxiv : the preprint server for biology · 2026Article
122 more citing papers are in PubMed but not listed here.
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Authors and funding
5 authors.
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Abstract
Neural circuits construct distributed representations of key variables-external stimuli or internal constructs of quantities relevant for survival, such as an estimate of one's location in the world-as vectors of population activity. Although population activity vectors may have thousands of entries (dimensions), we consider that they trace out a low-dimensional manifold whose dimension and topology match the represented variable. This manifold perspective enables blind discovery and decoding of the represented variable using only neural population activity (without knowledge of the input, output, behavior or topography). We characterize and directly visualize manifold structure in the mammalian head direction circuit, revealing that the states form a topologically nontrivial one-dimensional ring. The ring exhibits isometry and is invariant across waking and rapid eye movement sleep. This result directly demonstrates that there are continuous attractor dynamics and enables powerful inference about mechanism. Finally, external rather than internal noise limits memory fidelity, and the manifold approach reveals new dynamical trajectories during sleep.
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