• Finding topological structure in neural ensemble activity 

      Hermansen, Erik (Doctoral theses at NTNU;2023:45, Doctoral thesis, 2023)
      Finding topological structure in neural ensemble activity Recent breakthroughs in electrophysiological recordings and calcium imaging have unlocked the potential for understanding how groups of neurons work together. ...
    • ICLR 2022 Challenge for Computational Geometry & Topology: Design and Results 

      Myers, Adele; Utpala, Saiteja; Talbar, Shubham; Sanborn, Sophia; Shewmake, Christian; Donnat, Claire; Mathe, Johan; Lupo, Umberto; Sonthalia, Rishi; Cui, Xinyue; Szwagier, Tom; Pignet, Arthur; Bergsson, Andri; Hauberg, Søren; Nielsen, Dmitriy; Sommer, Stefan; Klindt, David; Hermansen, Erik; Vaupel, Melvin; Dunn, Benjamin Adric; Xiong, Jeffrey; Aharony, Noga; Noga, Aharony; Pe’er, Itsik; Ambellan, Felix; Hanik, Martin; Nava-Yazdani, Esfandiar; von Tycowicz, Christoph; Miolane, Nina (Peer reviewed; Journal article, 2022)
      This paper presents the computational challenge on differential geometry and topology that was hosted within the ICLR 2022 workshop “Geometric and Topo- logical Representation Learning”. The competition asked participants ...
    • Topological Detection in Spatially and Directionally Tuned Neural Network Activity 

      Hermansen, Erik (Master thesis, 2017)
      Persistent homology has become the main tool in topological data analysis, using methods from algebraic topology to describe the underlying space of data sets. In this thesis, persistent homology is used to detect topological ...
    • 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 ...