Search Results - "Brun, Morten"

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  1. 1

    The Rectangle Complex of a Relation by Brun, Morten, Salbu, Lars M.

    Published in Mediterranean journal of mathematics (01-02-2023)
    “…We construct a simplicial complex, the rectangle complex of a relation R , and show that it is homotopy equivalent to the Dowker complex of R . This results in…”
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    Determining homology of an unknown space from a sample by Brun, Morten, García Pascual, Belén, Salbu, Lars M.

    Published in European journal of mathematics (01-12-2023)
    “…The homology of an unknown subspace of Euclidean space can be determined from the intrinsic Čech complex of a sample of points in the subspace, without…”
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    Candidate Markers for Stratification and Classification in Rheumatoid Arthritis by Bader, Lucius, Gullaksen, Stein-Erik, Blaser, Nello, Brun, Morten, Bringeland, Gerd Haga, Sulen, André, Gjesdal, Clara Gram, Vedeler, Christian, Gavasso, Sonia

    Published in Frontiers in immunology (05-07-2019)
    “…Rheumatoid arthritis (RA) is a chronic autoimmune, inflammatory disease, characterized by synovitis in small- and medium-sized joints and, if not treated early…”
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    Brain Tumor Segmentation Based on Minimum Spanning Tree by Mayala, Simeon, Herdlevær, Ida, Haugsøen, Jonas Bull, Anandan, Shamundeeswari, Gavasso, Sonia, Brun, Morten

    Published in Frontiers in signal processing (Lausanne) (11-03-2022)
    “…In this paper, we propose a minimum spanning tree-based method for segmenting brain tumors. The proposed method performs interactive segmentation based on the…”
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    GUBS: Graph-Based Unsupervised Brain Segmentation in MRI Images by Mayala, Simeon, Herdlevær, Ida, Haugsøen, Jonas Bull, Anandan, Shamundeeswari, Blaser, Nello, Gavasso, Sonia, Brun, Morten

    Published in Journal of imaging (27-09-2022)
    “…Brain segmentation in magnetic resonance imaging (MRI) images is the process of isolating the brain from non-brain tissues to simplify the further analysis,…”
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    Relative Persistent Homology by Blaser, Nello, Brun, Morten

    Published in Discrete & computational geometry (01-12-2022)
    “…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…”
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    ON ALGEBRAS ASSOCIATED TO PARTIALLY ORDERED SETS by BRUN, MORTEN, RÖMER, TIM

    Published in Mathematica scandinavica (01-01-2008)
    “…We continue the work [2] on sheaves of rings on finite posets. We present examples where the ring of global sections coincide with toric faces rings, quotients…”
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    Crossover analysis in a commercial 6 kW/43kAh vanadium redox flow battery utilizing anion exchange membrane by Oreiro, Sara Noriega, Bentien, Anders, Sloth, Jonas, Rahimi, Mohammad, Madsen, Morten Brun, Drechsler, Terje

    “…•Protons are the primary charge carriers in VRFBs employing AEMs.•Regular operation (5–80 % SoC) shows ∼0.5 % electrolyte volume transfer per cycle.•Osmotic…”
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    Sparse Dowker nerves by Brun, Morten, Blaser, Nello

    “…We propose sparse versions of filtered simplicial complexes used to compute persistent homology of point clouds and of networks. In particular, we extend the…”
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    Divisive Cover by Blaser, Nello, Brun, Morten

    Published in Mathematics in computer science (01-06-2019)
    “…The aim of this paper is to present a method for computing persistent homology that performs well at large filtration values. To this end we introduce the…”
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    The parameterized complexity of finding minimum bounded chains by Blaser, Nello, Brun, Morten, Salbu, Lars M., Vågset, Erlend Raa

    “…Finding the smallest d-chain with a specific (d−1)-boundary in a simplicial complex is known as the Minimum Bounded Chain problem (MBCd). MBCd is NP-hard for…”
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    Epistemic uncertainty quantification in deep learning classification by the Delta method by Nilsen, Geir K., Munthe-Kaas, Antonella Z., Skaug, Hans J., Brun, Morten

    Published in Neural networks (01-01-2022)
    “…The Delta method is a classical procedure for quantifying epistemic uncertainty in statistical models, but its direct application to deep neural networks is…”
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    HyperTraPS-CT: Inference and prediction for accumulation pathways with flexible data and model structures by Aga, Olav N L, Brun, Morten, Dauda, Kazeem A, Diaz-Uriarte, Ramon, Giannakis, Konstantinos, Johnston, Iain G

    Published in PLoS computational biology (04-09-2024)
    “…Accumulation processes, where many potentially coupled features are acquired over time, occur throughout the sciences from evolutionary biology to disease…”
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    The Dual Degree Cech Bifiltration by Brun, Morten

    Published 29-06-2024
    “…In topological data analysis (TDA), a longstanding challenge is to recognize underlying geometric structures in noisy data. One motivating examples is the…”
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    RNA-Seq analysis of transcriptome responses in Atlantic cod (Gadus morhua) precision-cut liver slices exposed to benzo[a]pyrene and 17α-ethynylestradiol by Yadetie, Fekadu, Zhang, Xiaokang, Hanna, Eileen Marie, Aranguren-Abadía, Libe, Eide, Marta, Blaser, Nello, Brun, Morten, Jonassen, Inge, Goksøyr, Anders, Karlsen, Odd André

    Published in Aquatic toxicology (01-08-2018)
    “…•RNA-Seq analysis was performed on Atlantic cod precision cut liver slices exposed to BaP, EE2, and mixtures of BaP and EE2 for 48 h.•Genes and pathways…”
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    The use of heuristics in intuitive mathematical judgment by Reber, Rolf, Brun, Morten, Mitterndorfer, Karoline

    Published in Psychonomic bulletin & review (01-12-2008)
    “…Anecdotal evidence points to the use of beauty as an indication of truth in mathematical problem solving. In the two experiments of the present study, we…”
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    The Dowker theorem via discrete Morse theory by Brun, Morten, Grinberg, Darij

    Published 22-07-2024
    “…The Dowker theorem is a classical result in the topology of finite spaces, claiming that any binary relation between two finite spaces defines two…”
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    Witt vectors and Tambara functors by Brun, Morten

    Published in Advances in mathematics (New York. 1965) (01-06-2005)
    “…We give a combinatorial description of the ring of G-Witt vectors on a polynomial algebra over the integers for every finite group G. Using this description we…”
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