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

Topological portraits of multiscale coordination dynamics

(2020) Mengsen Zhang et al.   JOURNAL OF NEUROSCIENCE METHODS

Towards the neural population doctrine

(2019) Shreya Saxena et al.   CURRENT OPINION IN NEUROBIOLOGY

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

(2019) Rishidev Chaudhuri et al.   NATURE NEUROSCIENCE

A geometric attractor mechanism for self-organization of entorhinal grid modules

(2019) Louis Kang et al.   eLife

Topological data analysis of single-trial electroencephalographic signals

(2018) Yuan Wang et al.   Annals of Applied Statistics

The importance of forgetting: Limiting memory improves recovery of topological characteristics from neural data

(2018) Samir Chowdhury et al.   PLoS One

Robust spatial memory maps encoded by networks with transient connections

(2018) Andrey Babichev et al.   PLoS Computational Biology

Decoding of Neural Data Using Cohomological Feature Extraction

(2018) Erik Rybakken et al.   NEURAL COMPUTATION

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

(2017) James J. Jun et al.   NATURE

Navigating the Neural Space in Search of the Neural Code

(2017) Mehrdad Jazayeri et al.   NEURON

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

(2017) Kiah Hardcastle et al.   NEURON

Grid and Nongrid Cells in Medial Entorhinal Cortex Represent Spatial Location and Environmental Features with Complementary Coding Schemes

(2017) Geoffrey W. Diehl et al.   NEURON

Neural Manifolds for the Control of Movement

(2017) Juan A. Gallego et al.   NEURON

An efficient coding theory for a dynamic trajectory predicts non-uniform allocation of entorhinal grid cells to modules

(2017) Noga Mosheiff et al.   PLoS Computational Biology

What can topology tell us about the neural code?

(2016) Carina Curto   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

Multiple Running Speed Signals in Medial Entorhinal Cortex

(2016) James R. Hinman et al.   NEURON

On simplicity and complexity in the brave new world of large-scale neuroscience

(2015) Peiran Gao et al.   CURRENT OPINION IN NEUROBIOLOGY

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

Speed cells in the medial entorhinal cortex

(2015) Emilio Kropff et al.   NATURE

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

A principle of economy predicts the functional architecture of grid cells

(2015) Xue-Xin Wei et al.   eLife

Connecting multiple spatial scales to decode the population activity of grid cells

(2015) M. Stemmler et al.   Science Advances

Tracing the evolution of multi-scale functional networks in a mouse model of depression using persistent brain network homology

(2014) Arshi Khalid et al.   NEUROIMAGE

The Theta-Gamma Neural Code

(2013) John E. Lisman et al.   NEURON

Witnessed k-Distance

(2012) Leonidas Guibas et al.   DISCRETE & COMPUTATIONAL GEOMETRY

The entorhinal grid map is discretized

(2012) Hanne Stensola et al.   NATURE

Optimal Population Codes for Space: Grid Cells Outperform Place Cells

(2012) Alexander Mathis 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

Geometric Inference for Probability Measures

(2011) Frédéric Chazal et al.   FOUNDATIONS OF COMPUTATIONAL MATHEMATICS

Grid cells generate an analog error-correcting code for singularly precise neural computation

(2011) Sameet Sreenivasan et al.   NATURE NEUROSCIENCE

Accurate Path Integration in Continuous Attractor Network Models of Grid Cells

(2009) Yoram Burak et al.   PLoS Computational Biology

What Grid Cells Convey about Rat Location

(2008) I. R. Fiete et al.   JOURNAL OF NEUROSCIENCE