English

Decoding of neural data using cohomological feature extraction

Neurons and Cognition 2018-09-11 v5 Algebraic Topology

Abstract

We introduce a novel data-driven approach to discover and decode features in the neural code coming from large population neural recordings with minimal assumptions, using cohomological feature extraction. We apply our approach to neural recordings of mice moving freely in a box, where we find a circular feature. We then observe that the decoded value corresponds well to the head direction of the mouse. Thus we capture head direction cells and decode the head direction from the neural population activity without having to process the behaviour of the mouse. Interestingly, the decoded values convey more information about the neural activity than the tracked head direction does, with differences that have some spatial organization. Finally, we note that the residual population activity, after the head direction has been accounted for, retains some low-dimensional structure which is correlated with the speed of the mouse.

Keywords

Cite

@article{arxiv.1711.07205,
  title  = {Decoding of neural data using cohomological feature extraction},
  author = {Erik Rybakken and Nils Baas and Benjamin Dunn},
  journal= {arXiv preprint arXiv:1711.07205},
  year   = {2018}
}

Comments

17 pages. This is the author's final version, and the article has been accepted for publication in Neural Computation

R2 v1 2026-06-22T22:51:12.105Z