• Candidate markers for stratification and classification in rheumatoid arthritis 

      Bader, Lucius; Gullaksen, Stein-Erik; Blaser, Nello; Brun, Morten; Bringeland, Gerd Haga; Sulen, Andre; Gjesdal, Clara Gram; Vedeler, Christian A.; Gavasso, Sonia (Peer reviewed; Journal article, 2019-07-05)
      Rheumatoid arthritis (RA) is a chronic autoimmune, inflammatory disease, characterized by synovitis in small- and medium-sized joints and, if not treated early and efficiently, joint damage, and destruction. RA is a ...
    • Relative Persistent Homology 

      Blaser, Nello; Brun, Morten (Journal article; Peer reviewed, 2020)
      The alpha complex efficiently computes persistent homology of a point cloud X in Euclidean space when the dimension d is low. Given a subset A of X, relative persistent homology can be computed as the persistent homology ...
    • Sparse Dowker nerves 

      Brun, Morten; Blaser, Nello (Peer reviewed; Journal article, 2019-06-29)
      We propose sparse versions of filtered simplicial complexes used to compute persistent homology of point clouds and of networks. In particular, we extend the Sparse Čech Complex of Cavanna et al. (A geometric perspective ...
    • Sparse Nerves in Practice 

      Blaser, Nello; Brun, Morten (Peer reviewed; Journal article, 2019)
      Topological data analysis combines machine learning with methods from algebraic topology. Persistent homology, a method to characterize topological features occurring in data at multiple scales is of particular interest. ...
    • The use of heuristics in intuitive mathematical judgment 

      Reber, Rolf; Brun, Morten; Mitterndorfer, Karoline (Journal article, 2008-07-16)
      Anecdotal evidence points to the use of beauty as an indication for truth in mathematical problem solving. Two experiments examined the use of heuristics and tested the assumption that participants use symmetry as a cue ...