• covsim: An R Package for Simulating Non-normal Data for Structural Equation Models Using Copulas 

      Grønneberg, Steffen; Foldnes, Njål; Marcoulides, Katerina (Peer reviewed; Journal article, 2022)
      In factor analysis and structural equation modeling non-normal data simulation is traditionally performed by specifying univariate skewness and kurtosis together with the target covariance matrix. However, this leaves ...
    • Fourier quasicrystals with unit masses. 

      Olevskii, Alexander; Ulanovskii, Alexander (Peer reviewed; Journal article, 2020)
      The sum of δ-measures sitting at the points of a discrete set Λ⊂R forms a Fourier quasicrystal if and only if Λ is the zero set of an exponential polynomial with imaginary frequencies.
    • Functorially finite hearts, simple-minded systems in negative cluster categories, and noncrossing partitions 

      Simões, Raquel Coelho; Pauksztello, David; Ploog, David; Zvonareva, Alexandra (Peer reviewed; Journal article, 2022)
      Let Q be an acyclic quiver and w 1 be an integer. Let C−w(kQ) be the (−w)-cluster category of kQ. We show that there is a bijection between simple-minded collections in Db(kQ) lying in a fundamental domain of C−w(kQ) and ...
    • Interpolation of weighted extremal functions 

      Rashkovskii, Alexander (Peer reviewed; Journal article, 2021-03)
      An approach to interpolation of compact subsets of Cn, including Brunn–Minkowski type inequalities for the capacities of the interpolating sets, was developed in [8] by means of plurisubharmonic geodesics between relative ...
    • Learning Parameterized ODEs From Data 

      Li, Qing; Evje, Steinar; Geng, Jiahui (Peer reviewed; Journal article, 2023)
      In contemporary research, neural networks are being used to derive Ordinary Differential Equations (ODEs) from observations. However, parameterized ODEs pose a more significant challenge than non-parameterized ODEs since ...
    • Learning the nonlinear flux function of a hidden scalar conservation law from data 

      Li, Qing; Evje, Steinar (Peer reviewed; Journal article, 2023-10)
      Nonlinear conservation laws are widely used in fluid mechanics, biology, physics, and chemical engineering. However, deriving such nonlinear conservation laws is a significant and challenging problem. A possible attractive ...
    • Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow 

      Evje, Steinar; Winkler, Michael (Peer reviewed; Journal article, 2020-04)
      Recent experimental work has revealed that interstitial fluid flow can mobilize two types of tumor cell migration mechanisms. One is a chemotactic-driven mechanism where chemokine (chemical component) bounded to the ...
    • A Two-Period Game Theoretic Model of Zero-Day Attacks with Stockpiling 

      Wang, Guizhou; Welburn, Jonathan William; Hausken, Kjell (Peer reviewed; Journal article, 2020-12)
      In a two-period game, Player 1 produces zero-day exploits for immediate deployment or stockpiles for future deployment. In Period 2, Player 1 produces zero-day exploits for immediate deployment, supplemented by stockpiled ...