Decoding of Neural Data Using Cohomological Feature Extraction

Variational Latent Gaussian Process for Recovering Single-Trial Dynamics from Population Spike Trains

(2017) Yuan Zhao et al.   NEURAL COMPUTATION

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

(2017) Kiah Hardcastle et al.   NEURON

Cohomological learning of periodic motion

(2015) Mikael Vejdemo-Johansson et al.   APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING

Visual Landmark Information Gains Control of the Head Direction Signal at the Lateral Mammillary Nuclei

(2015) R. M. Yoder et al.   JOURNAL OF NEUROSCIENCE

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

Dimensionality reduction for large-scale neural recordings

(2014) John P Cunningham et al.   NATURE NEUROSCIENCE

Reconceiving the hippocampal map as a topological template

(2014) Yuri Dabaghian et al.   eLife

The importance of mixed selectivity in complex cognitive tasks

(2013) Mattia Rigotti et al.   NATURE

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

Approximate Methods for State-Space Models

(2010) Shinsuke Koyama et al.   JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION

Topology and data

(2009) Gunnar Carlsson   BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY

Gaussian-Process Factor Analysis for Low-Dimensional Single-Trial Analysis of Neural Population Activity

(2009) Byron M. Yu et al.   JOURNAL OF NEUROPHYSIOLOGY

Topological analysis of population activity in visual cortex

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

Cell Groups Reveal Structure of Stimulus Space

(2008) Carina Curto et al.   PLoS Computational Biology