Search Results - "BRUN, MORTEN"
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1
The Rectangle Complex of a Relation
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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2
Determining homology of an unknown space from a sample
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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3
Integrative omics-analysis of lipid metabolism regulation by peroxisome proliferator-activated receptor a and b agonists in male Atlantic cod
Published in Frontiers in physiology (2023)“…Lipid metabolism is essential in maintaining energy homeostasis in multicellular organisms. In vertebrates, the peroxisome proliferator-activated receptors…”
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4
Candidate Markers for Stratification and Classification in Rheumatoid Arthritis
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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5
Brain Tumor Segmentation Based on Minimum Spanning Tree
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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6
GUBS: Graph-Based Unsupervised Brain Segmentation in MRI Images
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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7
Relative Persistent Homology
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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8
ON ALGEBRAS ASSOCIATED TO PARTIALLY ORDERED SETS
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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9
Crossover analysis in a commercial 6 kW/43kAh vanadium redox flow battery utilizing anion exchange membrane
Published in Chemical engineering journal (Lausanne, Switzerland : 1996) (15-06-2024)“…•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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10
Sparse Dowker nerves
Published in Journal of applied and computational topology (14-06-2019)“…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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11
Divisive Cover
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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12
The parameterized complexity of finding minimum bounded chains
Published in Computational geometry : theory and applications (01-10-2024)“…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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13
Epistemic uncertainty quantification in deep learning classification by the Delta method
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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14
HyperTraPS-CT: Inference and prediction for accumulation pathways with flexible data and model structures
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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15
The Dual Degree Cech Bifiltration
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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16
RNA-Seq analysis of transcriptome responses in Atlantic cod (Gadus morhua) precision-cut liver slices exposed to benzo[a]pyrene and 17α-ethynylestradiol
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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17
The use of heuristics in intuitive mathematical judgment
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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18
The Dowker theorem via discrete Morse theory
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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19
Witt vectors and Tambara functors
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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20
Covering homology
Published in Advances in mathematics (New York. 1965) (20-12-2010)Get full text
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