Toroidal topology of population activity in grid cells

Initialization is critical for preserving global data structure in both t-SNE and UMAP

(2021) Dmitry Kobak et al.   NATURE BIOTECHNOLOGY

Neuropixels 2.0: A miniaturized high-density probe for stable, long-term brain recordings

(2021) Nicholas A. Steinmetz et al.   SCIENCE

Evaluating State Space Discovery by Persistent Cohomology in the Spatial Representation System

(2021) Louis Kang et al.   Frontiers in Computational Neuroscience

Locally ordered representation of 3D space in the entorhinal cortex

(2021) Gily Ginosar et al.   NATURE

Spike afterpotentials shape the in-vivo burst activity of principal cells in medial entorhinal cortex

(2020) Dóra É. Csordás et al.   JOURNAL OF NEUROSCIENCE

The entorhinal cognitive map is attracted to goals

(2019) Charlotte N. Boccara et al.   SCIENCE

Remembered reward locations restructure entorhinal spatial maps

(2019) William N. Butler et al.   SCIENCE

Correlation structure of grid cells is preserved during sleep

(2019) Richard J. Gardner et al.   NATURE NEUROSCIENCE

Grid cell co-activity patterns during sleep reflect spatial overlap of grid fields during active behaviors

(2019) Sean G. Trettel et al.   NATURE NEUROSCIENCE

The intrinsic attractor manifold and population dynamics of a canonical cognitive circuit across waking and sleep

(2019) Rishidev Chaudhuri et al.   NATURE NEUROSCIENCE

Learning place cells, grid cells and invariances with excitatory and inhibitory plasticity

(2018) Simon Nikolaus Weber et al.   eLife

Decoding of Neural Data Using Cohomological Feature Extraction

(2018) Erik Rybakken et al.   NEURAL COMPUTATION

A neural circuit architecture for angular integration in Drosophila

(2017) Jonathan Green et al.   NATURE

Fully integrated silicon probes for high-density recording of neural activity

(2017) James J. Jun et al.   NATURE

The hippocampus as a predictive map

(2017) Kimberly L Stachenfeld et al.   NATURE NEUROSCIENCE

A Multiplexed, Heterogeneous, and Adaptive Code for Navigation in Medial Entorhinal Cortex

(2017) Kiah Hardcastle et al.   NEURON

Hippocampal Spike-Timing Correlations Lead to Hexagonal Grid Fields

(2017) Mauro M. Monsalve-Mercado et al.   PHYSICAL REVIEW LETTERS

Stellate cells drive maturation of the entorhinal-hippocampal circuit

(2017) Flavio Donato et al.   SCIENCE

Ring attractor dynamics in theDrosophilacentral brain

(2017) Sung Soo Kim et al.   SCIENCE

A single-cell spiking model for the origin of grid-cell patterns

(2017) Tiziano D’Albis et al.   PLoS Computational Biology

Fundamental bound on the persistence and capacity of short-term memory stored as graded persistent activity

(2017) Onur Ozan Koyluoglu et al.   eLife

Extracting grid cell characteristics from place cell inputs using non-negative principal component analysis

(2016) Yedidyah Dordek et al.   eLife

Interspike Intervals Reveal Functionally Distinct Cell Populations in the Medial Entorhinal Cortex

(2015) P. Latuske et al.   JOURNAL OF NEUROSCIENCE

Neural dynamics for landmark orientation and angular path integration

(2015) Johannes D. Seelig et al.   NATURE

Shearing-induced asymmetry in entorhinal grid cells

(2015) Tor Stensola et al.   NATURE

Grid cell symmetry is shaped by environmental geometry

(2015) Julija Krupic et al.   NATURE

Internally organized mechanisms of the head direction sense

(2015) Adrien Peyrache et al.   NATURE NEUROSCIENCE

Clique topology reveals intrinsic geometric structure in neural correlations

(2015) Chad Giusti et al.   PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA

Three-dimensional head-direction coding in the bat brain

(2014) Arseny Finkelstein et al.   NATURE

Bump attractor dynamics in prefrontal cortex explains behavioral precision in spatial working memory

(2014) Klaus Wimmer et al.   NATURE NEUROSCIENCE

Persistence-Based Clustering in Riemannian Manifolds

(2013) Frédéric Chazal et al.   JOURNAL OF THE ACM

Specific evidence of low-dimensional continuous attractor dynamics in grid cells

(2013) KiJung Yoon et al.   NATURE NEUROSCIENCE

Recurrent inhibitory circuitry as a mechanism for grid formation

(2013) Jonathan J Couey et al.   NATURE NEUROSCIENCE

Grid alignment in entorhinal cortex

(2012) Bailu Si et al.   BIOLOGICAL CYBERNETICS

The entorhinal grid map is discretized

(2012) Hanne Stensola et al.   NATURE

Opening the Black Box: Low-Dimensional Dynamics in High-Dimensional Recurrent Neural Networks

(2012) David Sussillo et al.   NEURAL COMPUTATION

A Topological Paradigm for Hippocampal Spatial Map Formation Using Persistent Homology

(2012) Y. Dabaghian et al.   PLoS Computational Biology

Persistent Cohomology and Circular Coordinates

(2011) Vin de Silva et al.   DISCRETE & COMPUTATIONAL GEOMETRY

Development of the Spatial Representation System in the Rat

(2010) R. F. Langston et al.   SCIENCE

Development of the Hippocampal Cognitive Map in Preweanling Rats

(2010) T. J. Wills et al.   SCIENCE

Continuous Attractors with Morphed/Correlated Maps

(2010) Sandro Romani et al.   PLoS Computational Biology

Accurate Path Integration in Continuous Attractor Network Models of Grid Cells

(2009) Yoram Burak et al.   PLoS Computational Biology

The emergence of grid cells: Intelligent design or just adaptation?

(2008) Emilio Kropff et al.   HIPPOCAMPUS

Theta and Gamma Coordination of Hippocampal Networks during Waking and Rapid Eye Movement Sleep

(2008) S. M. Montgomery et al.   JOURNAL OF NEUROSCIENCE

Topological analysis of population activity in visual cortex

(2008) G. Singh et al.   JOURNAL OF VISION

Decision Making in Recurrent Neuronal Circuits

(2008) Xiao-Jing Wang   NEURON