Browsing Department of Mathematics by Author "Brun, Morten"

Now showing items 1-4 of 4

    • Brain Tumor Segmentation Based on Minimum Spanning Tree 

      Mayala, Simeon Sahani; Herdlevær, Ida Ajvazi; Haugsøen, Jonas Bull; Anandan, Shamundeeswari; Gavasso, Sonia; Brun, Morten (Journal article; Peer reviewed, 2022-03-11)
      In this paper, we propose a minimum spanning tree-based method for segmenting brain tumors. The proposed method performs interactive segmentation based on the minimum spanning tree without tuning parameters. The steps ...

    • Epistemic uncertainty quantification in deep learning classification by the Delta method 

      Nilsen, Geir Kjetil; Munthe-Kaas, Antonella Zanna; Skaug, Hans Julius; Brun, Morten (Journal article; Peer reviewed, 2022)
      The Delta method is a classical procedure for quantifying epistemic uncertainty in statistical models, but its direct application to deep neural networks is prevented by the large number of parameters . We propose a low ...

    • GUBS: Graph-Based Unsupervised Brain Segmentation in MRI Images 

      Mayala, Simeon Sahani; Herdlevær, Ida Ajvazi; Haugsøen, Jonas Bull; Anandan, Shamundeeswari; Blaser, Nello; Gavasso, Sonia; Brun, Morten (Journal article; Peer reviewed, 2022)
      Brain segmentation in magnetic resonance imaging (MRI) images is the process of isolating the brain from non-brain tissues to simplify the further analysis, such as detecting pathology or calculating volumes. This paper ...

    • 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 ...