• Decoding of neural data using cohomological feature extraction 

      Rybakken, Erik; Baas, Nils A.; Dunn, Benjamin Adric (Journal article; Peer reviewed, 2019)
      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 ...
    • On the mathematics of higher structures 

      Baas, Nils A. (Journal article; Peer reviewed, 2019)
      In a series of papers, we have discussed higher structures in science in general, and developed a framework called hyperstructures for describing and working with higher structures. We discussed the philosophy behind higher ...
    • On the philosophy of higher structures 

      Baas, Nils A. (Journal article; Peer reviewed, 2019)
      Higher structures occur and play an important role in all sciences and their applications. In a series of papers, we have developed a framework called Hyperstructures for describing and working with higher structures. The ...
    • Toroidal topology of population activity in grid cells 

      Gardner, Richard J.; Hermansen, Erik; Pachitariu, Marius; Burak, Yoram; Baas, Nils A.; Dunn, Benjamin Adric; Moser, May-Britt; Moser, Edvard Ingjald (Journal article; Peer reviewed, 2022)
      The medial entorhinal cortex is part of a neural system for mapping the position of an individual within a physical environment1. Grid cells, a key component of this system, fire in a characteristic hexagonal pattern of ...
    • Using persistent homology to reveal hidden covariates in systems governed by the kinetic Ising model 

      Spreemann, Gard; Dunn, Benjamin Adric; Botnan, Magnus; Baas, Nils A. (Journal article; Peer reviewed, 2018)
      We propose a method, based on persistent homology, to uncover topological properties of a priori unknown covariates in a system governed by the kinetic Ising model with time-varying external fields. As its starting point ...