Department of Mathematics
Recent Submissions
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Hybrid Modeling of the N-Body Problem with Applications to Astrophysics
(Master thesis, 2022-06-01)Over the last years, the field of hybrid modeling, the concept of combining data-driven machine learning models and numerical solution methods to simulate a physical system, has seen an immense increase in research. This ... -
Fully Automatic Whole-Volume Tumor Segmentation in Cervical Cancer
(Journal article; Peer reviewed, 2022-05-11)Uterine cervical cancer (CC) is the most common gynecologic malignancy worldwide. Whole-volume radiomic profiling from pelvic MRI may yield prognostic markers for tailoring treatment in CC. However, radiomic profiling ... -
A posteriori error estimation and modeling of unsaturated flow in fractured porous media
(Doctoral thesis, 2022-06-17)This doctoral thesis focuses on three topics: (1) modeling of unsaturated flow in fractured porous media, (2) a posteriori error estimation for mixed-dimensional elliptic equations, and (3) contributions to open-source ... -
A Finite-Volume-Based Module for Unsaturated Poroelasticity
(Chapter, 2021)In this chapter, we present fv-unsat, a multipoint finite-volume–based solver for unsaturated flow in deformable and nondeformable porous media. The latter is described using the mixed form of Richards’ equation, whereas ... -
Socioeconomic and geographic differences in ablation of atrial fibrillation in Norway - a national cohort study
(Journal article; Peer reviewed, 2022)Background The aim of this study was to analyse whether there are patient related or geographic differences in the use of catheter ablation among atrial fibrillation patients in Norway. Methods National population-based ... -
Interdisciplinary and Transferable Concepts in Bioinformatics Education: Observations and Approaches From a UK MSc Course
(Journal article; Peer reviewed, 2022-02-24)Bioinformatics is a highly interdisciplinary subject, with substantial and growing influence in health, environmental science and society, and is utilised by scientists from many diverse academic backgrounds. Education in ... -
Modelling clusters of corporate defaults: Regime-switching models significantly reduce the contagion source
(Journal article; Peer reviewed, 2022)In this paper, we report robust evidence that the process of corporate defaults is time-dependent and can be modelled by extending an autoregressive count time series model class via the introduction of regime-switching. ... -
Rotational effects on exchange flows across a submerged sill
(Journal article; Peer reviewed, 2021)This paper presents new laboratory-scale numerical simulations of density-driven exchange flows generated across an idealised, submerged sill obstruction under both non-rotating and rotating frames of reference using the ... -
Hidden semi-Markov-switching quantile regression for time series
(Journal article; Peer reviewed, 2021)A hidden semi-Markov-switching quantile regression model is introduced as an extension of the hidden Markov-switching one. The proposed model allows for arbitrary sojourn-time distributions in the states of the Markov-switching ... -
Dispersive Estimates for Full Dispersion KP Equations
(Journal article; Peer reviewed, 2021)We prove several dispersive estimates for the linear part of the Full Dispersion Kadomtsev–Petviashvili introduced by David Lannes to overcome some shortcomings of the classical Kadomtsev–Petviashvili equations. The proof ... -
A mathematical justification of the momentum density function associated to the KdV equation
(Journal article; Peer reviewed, 2021)Consideration is given to the KdV equation as an approximate model for long waves of small amplitude at the free surface of an inviscid fluid. It is shown that there is an approximate momentum density associated to the KdV ... -
Optimal strategies in the Fighting Fantasy gaming system: influencing stochastic dynamics by gambling with limited resource
(Journal article; Peer reviewed, 2022)In many games and other processes, participants can choose to intervene in some way that does not follow the usual progress of the game (for example, cheating at cards, or spying on rivals) which may provide benefits, but ... -
Epistemic Uncertainty Quantification in Deep Learning by the Delta Method
(Doctoral thesis, 2022-05-16)This thesis explores the Delta method and its application to deep learning image classification. The Delta method is a classical procedure for quantifying uncertainty in statistical models, but its direct application to ... -
Nowcasting COVID-19 incidence indicators during the Italian first outbreak
(Journal article; Peer reviewed, 2021)A novel parametric regression model is proposed to fit incidence data typically collected during epidemics. The proposal is motivated by real-time monitoring and short-term forecasting of the main epidemiological indicators ... -
Consideration of measurement errors for the Norwegian common minke whale (Balaenoptera acutorostrata acutorostrata) surveys
(Journal article; Peer reviewed, 2021)A discrete measurement error model for radial distance and angle to detected objects in line transect surveys is considered. This approach directly quantifies the effect of measurement error on the estimated effective strip ... -
Continuity of Formal Power Series Products in Nonlinear Control Theory
(Journal article; Peer reviewed, 2022)Formal power series products appear in nonlinear control theory when systems modeled by Chen–Fliess series are interconnected to form new systems. In fields like adaptive control and learning systems, the coefficients of ... -
Functional inequalities on path space of sub-Riemannian manifolds and applications
(Journal article; Peer reviewed, 2021)We consider the path space of a manifold with a measure induced by a stochastic flow with an infinitesimal generator that is hypoelliptic, but not elliptic. These generators can be seen as sub-Laplacians of a sub-Riemannian ... -
Detection and quantification of CO2 seepage in seawater using the stoichiometric Cseep method: Results from a recent subsea CO2 release experiment in the North Sea
(Journal article; Peer reviewed, 2021)Carbon Capture and Storage (CCS) is a potential significant mitigation strategy to combat climate change and ocean acidification. The technology is well understood but its current implementation must be scaled up nearly ... -
Selection for biparental inheritance of mitochondria under hybridization and mitonuclear fitness interactions
(Journal article; Peer reviewed, 2021)Uniparental inheritance (UPI) of mitochondria predominates over biparental inheritance (BPI) in most eukaryotes. However, examples of BPI of mitochondria, or paternal leakage, are becoming increasingly prevalent. Most ...
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