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(Doctoral thesis / Doktoravhandling, 2024)
When a new product is launched on a customer base, its adoption process begins. From here on out, two main drivers will inform how new adoptions are made. New adoptions might spur out peer-to-peer interactions between ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2024)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
This article develops new techniques to classify critical configurations for 3D scene reconstruction from images taken by unknown cameras. Generally, all information can be uniquely recovered if enough images and image ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
Objective The objective of our study was to examine whether occupational exposure to benzene is associated with lung cancer among males in the Norwegian Offshore Petroleum Workers cohort. Methods Among 25 347 male offshore ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2024)
Rogue waves, also known as freak waves, have received much attention in the scientific community as well as in media and the marine industry in the past two decades. Forecasts of extreme weather events have always been ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2024)
We construct conforming finite element elasticity complexes on the Alfeld splits of tetrahedra. The complex consists of vector fields and symmetric tensor fields, interlinked via the linearized deformation operator, the ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
Environmental contours are tools frequently used in the early design of marine structures. They provide a description of critical design conditions and serve as a means for simplifying expensive long-term response calculations. ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
Since the beginning of Bayesian nonparametrics in the early 1970s, there has been a wide interest in constructing models for binary response data. Such data arise naturally in problems dealing with bioassay, current status ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
The present paper investigates Cox-Ingersoll-Ross (CIR) processes of dimension less than 1, with a focus on obtaining an equation of a new type including local times for the square root of the CIR process. To derive this ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
The paper presents an analytical proof demonstrating that the Sandwiched Volterra Volatility (SVV) model is able to reproduce the power-law behavior of the at-the-money implied volatility skew, provided the correct choice ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
Zero-knowledge succinct non-interactive arguments of knowledge (zk-SNARKs) are the most efficient proof systems in terms of proof size and verification. Currently, Groth’s scheme from EUROCRYPT 2016, Groth16, is the ...
(Doctoral thesis / Doktoravhandling, 2023)
Mathematical objects often possess some sort of 'symmetry'. For instance, the circle has rotational symmetry; It 'looks the same' even if we rotate it around its center by some angle. Formally this type of symmetry is an ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Whether you are reading, running or sleeping, your brain and its fluid environment continuously interacts to distribute nutrients and clear metabolic waste. Yet, the precise mechanisms for solute transport within the human ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Background
The research of biomarker-treatment interactions is commonly investigated in randomized clinical trials (RCT) for improving medicine precision. The hierarchical interaction constraint states that ...
Intersecting near-optimal spaces: European power systems with more resilience to weather variability
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We suggest a new methodology for designing robust energy systems. For this, we investigate so-called near-optimal solutions to energy system optimisation models; solutions whose objective values deviate only marginally ...
(Doctoral thesis / Doktoravhandling, 2023)
Solving equations has always been one of the core areas of mathematics. One important class of equations are so-called polynomial equations. These appear naturally in a broad collection of fields, such as number theory, ...
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
Generative models have gained significant interest in recent years due to their ability to generate high-quality samples from an underlying distribution for images, text and audio. The underlying distributions is often ...
(Master thesis / Masteroppgave, 2023)
The Resource Constrained Project Scheduling Problem (RCPSP) is an NP-hard job scheduling problem. This thesis finds and compares mixed integer linear programming formulations for an extension to the standard RCPSP with the ...
(Master thesis / Masteroppgave, 2023)
A positive integer n is called congruent if it appears as the area of a right-angle triangle with rational sides. There are known to be infinite congruent numbers, the smallest being 5. However, given n, it is not ...
(Master thesis / Masteroppgave, 2023)
This thesis focuses on the study of financial markets with delay and in a broader sense, the study of stochastic differential equations with delay. We describe a continuous model, argue the existence, uniqueness and ...
(Master thesis / Masteroppgave, 2023)
In this thesis, we define an infinite-dimensional stochastic integral $\int XdM$ where $M$ is a hyperfinite martingale. In order to make sense of this integral we have developed some new concepts in nonstandard functional ...
(Master thesis / Masteroppgave, 2023)
We define a family of coherent sheaves indexed by the natural numbers on the Hilbert scheme of points on a surface S, and study some of their properties. The first two sheaves are bundles whose degeneracy loci parametrize ...
(Master thesis / Masteroppgave, 2023)
Differensiallikninger er ofte vanskelige, eller umulige å løse analytisk, derfor er gode numeriske skjemaer er i mange situasjoner en nødvendighet. Et godt numerisk skjema er strukturbevarende, og konvergerer raskt mot den ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
There is a bounded Hankel operator on the Paley–Wiener space of a disc in R2 which does not arise from a bounded symbol.
(Master thesis / Masteroppgave, 2023)
The main topic of this thesis is SDEs driven by VMLV and VMBV processes. Further study is done on their respective subclasses of processes, abbreviated as LSS and BSS processes. Secondarily, SPDEs driven by ambit fields ...
Classification of Low Dimensional Algebras Restricted Access
(Master thesis / Masteroppgave, 2023)
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
We study a stochastic differential equation with an unbounded drift and general Hölder continuous noise of order . The corresponding equation turns out to have a unique solution that, depending on a particular shape of the ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
This article may be seen as a summary and a final discussion of the work that the author has done in recent years on the foundation of quantum theory. It is shown that quantum mechanics as a model follows under certain ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
Matrix majorization is a generalization of the classical majorization for vectors. We study several basic questions concerning matrix majorization for (0;±1)-matrices, i.e., matrices whose entries are restricted to 0, 1 ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We study C*-irreducibility of inclusions of reduced twisted group C*-algebras and of reduced group C*-algebras. We characterize C*-irreducibility in the case of an inclusion arising from a normal subgroup, and exhibit many ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Background
Astrocyte endfoot processes are believed to cover all micro-vessels in the brain cortex and may play a significant role in fluid and substance transport into and out of the brain parenchyma. ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
Permutation graphs are graphs associated with permutations where edges represent inversions. We study different classes of permutation graphs and isomorphic permutation graphs. A complete answer of a basic isomorphism ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
In various research areas such as engineering, physics, and mathematics, numerical simulations play an important role. A number of research software simulation frameworks have been established, for instance, Dune (Bastian ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Abstract We use methods from nonstandard analysis to unify and extend results from the theory of asymptotic fixed points on metric spaces. Among the topics we consider are Kirk’s asymptotic fixed point theorem with extensions, ...
(Master thesis / Masteroppgave, 2023)
Hull-White interest rate models driven by fractional Brownian motion with Hurst parameter H not equal to 1/2 is applied to life insurance policies. The theory of life insurance policies under stochastic interest rates is ...
(Chapter / Bokkapittel / PublishedVersion; Peer reviewed, 2023)
Battery systems are increasingly being used for powering ocean going ships, and the number of fully electric or hybrid ships relying on battery power for propulsion and maneuvering is growing. In order to ensure the safety ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Abstract The Maxwell–Klein–Gordon equations are a set of coupled nonlinear time‐dependent wave equations, used to model the interaction of an electromagnetic field with a particle. The solutions, expressed with a magnetic ...
(Doctoral thesis / Doktoravhandling, 2023)
Mathematical modelling of brain parenchyma mechanics and fluid dynamics is a powerful tool to better understand clearance mechanisms, and investigate mechanistic hypotheses that cannot be verified with in vivo experiments. ...
Turbulent Flow Past An Edged Geometry Restricted Access
(Master thesis / Masteroppgave, 2023)
Vortexes are a major part of turbulence studies, and have dominating effect on aerodynamics. Vortex generators have been used for a long time on air-crafts, to delay flow separation and increase performance. In this study, ...
(Master thesis / Masteroppgave, 2023)
Breast cancer is the most common type of cancer in women worldwide. Screening programs have been established in many countries to prevent deaths from breast cancer by detecting the disease at an early stage and arranging ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Background
Assisted reproductive technologies (ART) may perturb DNA methylation (DNAm) in early embryonic development. Although a handful of epigenome-wide association studies of ART have been published, ...
(Doctoral thesis / Doktoravhandling, 2023)
Most forms of dementia, including Alzheimer’s, are incurable and their causes are not properly understood. In recent years, it has been suggested that the cerebrospinal fluid, a water-like fluid that surrounds the brain, ...
(Doctoral thesis / Doktoravhandling, 2023)
Internal waves are a phenomenon that occurs in stratified oceans. These waves play a vital role in the oceanic ecosystem, e.g., influencing the distribution of nutrients. I have conducted high-resolution simulations of ...
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
Discovering statistical interaction effects is important to understand the binding mechanism in CDR3 and predict whether a sequence will bind to a given antigen, which will help develop medicines and vaccines. CDR3 is made ...
(Master thesis / Masteroppgave, 2023)
We give an explicit calculation of the Hermitian K-theory groups of finite fields. This is done via the spectral sequence associated to the very effective slice filtration of Spitzweck and Østvær. This is possible due to ...
(Master thesis / Masteroppgave, 2023)
We change the approach for computing posterior distributions in Bayesian Generalized Nonlinear Models. We replace MCMC with variational Bayes, and approximate the posterior distribution with mean-field, or through utilization ...
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
(Chapter / Bokkapittel / AcceptedVersion; Peer reviewed, 2023)
I give a survey of Sergio Albeverio’s work in nonstandard analysis, covering applications to operator theory, stochastic analysis, Dirichlet forms, quantum mechanics, and quantum field theory, and making an attempt at ...
(Master thesis / Masteroppgave, 2023)
In this thesis we give a complete description of the extremal $\beta$-KMS weights for the gauge-action on the $C^*$-algebra associated to a second-countable topological graph. We give a description in terms of ergodic ...
(Master thesis / Masteroppgave, 2023)
This thesis concerns the application of physics-informed machine learning to dynamical systems that can be represented as first-order ordinary differential equations. Current system identification models struggle to learn ...
(Master thesis / Masteroppgave, 2023)
This Master's Thesis aims to optimize reinsurance contracts in both univariate and multivariate cases, contributing to the advancement of reinsurance optimization techniques. First, we review the optimization methodology ...
(Master thesis / Masteroppgave, 2023)
Grassmannians are varieties parameterizing the k-dimensional subspaces of an n-dimensional vector space. To a point in a Grassmannian we associate two objects: A representable matroid storing combinatorial data about linear ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Background
In high-dimensional data (HDD) settings, the number of variables associated with each observation is very large. Prominent examples of HDD in biomedical research include omics data with a large ...
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
We begin with a treatment of classical algebraic number theory and algebraic $K$-theory. After introducing the notion of a (Steinberg) symbol, we use Tate's result on the structure of $K_2(\Q)$ to prove quadratic reciprocity. ...
(Master thesis / Masteroppgave, 2023)
I denne oppgaven utforsker vi sammenhengen mellom strøm i nettverk og transportmatriser der matriseelementene oppfyller gitte begrensninger. Videre bruker vi denne sammenhengen til å avgjøre om det eksisterer, og i så fall ...
(Master thesis / Masteroppgave, 2023)
Målet med denne oppgaven er å utforske strukturen til dobbelt stokastiske matriser. Hovedfokuset er å utforske verdien og posisjonen til elementene i dobbelt stokastiske matriser. Spesielt ser vi på strukturen i matrisene ...
(Master thesis / Masteroppgave, 2023)
Cancer is an incredibly complex and diverse disease. Therefore, medical treatment preferentially should be tailored at the level of individual patients. There exists a vast amount of knowledge related to cancer biology, ...
(Master thesis / Masteroppgave, 2023)
Lattice-based cryptography derived from cylotomic rings, base their security on two hard mathematical problems, finding the shortest and the closest vector in a lattice. Even though there are many factors to consider when ...
(Master thesis / Masteroppgave, 2023)
This thesis discusses self-similar fractals, more specifically different symmetries on self-similar fractals. We build the fractal space as a collection of compact subsets of a complete metric space. Further, we add IFS ...
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Abstract We show that there is no theory that is minimal with respect to interpretability among recursively enumerable essentially undecidable theories.
(Master thesis / Masteroppgave, 2023)
Denne oppgaven kombinerer to ulike felt fra matematikken: fraktaler og Brownske bevegelser. Målet er å konstruere Brownske bevegelser på fraktaler, men før det vil vi introdusere de to temaene hver for seg. Først vil ...
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We establish an equivalence between two approaches to quantization of irreducible symmetric spaces of compact type within the framework of quasi-coactions, one based on the Enriquez–Etingof cyclotomic Knizhnik–Zamolodchikov ...
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
This thesis presents a comprehensive investigation of the simulation sensitivity and accuracy for small scale floating bodies in low Reynolds number regime. The study aims to provide an extensive insight into the factors ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We show that the maximal number of planes in a complex smooth cubic fourfold in P5 is 405, realized by the Fermat cubic only; the maximal number of real planes in a real smooth cubic fourfold is 357, realized by the so-called ...
(Master thesis / Masteroppgave, 2023)
Road construction sites are often inefficient, with construction machines frequently idling for extended periods, wasting fuel and time. One way to increase efficiency is to optimize the scheduling of the dumpers transporting ...
(Master thesis / Masteroppgave, 2023)
Bayesian Neural Networks: Assessing the Posterior by Randomized Maximum Likelihood Restricted Access
(Master thesis / Masteroppgave, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We propose a framework for fitting multivariable fractional polynomial models as special cases of Bayesian generalized nonlinear models, applying an adapted version of the genetically modified mode jumping Markov chain ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We give the first examples of O-acyclic smooth projective geometrically connected varieties over the function field of a complex curve, whose index is not equal to one. More precisely, we construct a family of Enriques ...
(Master thesis / Masteroppgave, 2023)
An increasing amount of Linked Open Data is now available on the Web, resulting in the expansion of knowledge graphs as more triples are added to them. To prevent information overload and improve task efficiency, multiple ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We introduce Locally Interpretable Tree Boosting (LitBoost), a tree boosting model tailored to applications where the data comes from several heterogeneous yet known groups with a limited number of observations per group. ...
(Master thesis / Masteroppgave, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We show that we can interpret concatenation theories in arithmetical theories without coding sequences by identifying binary strings with 2 × 2 matrices with determinant 1.
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
It is well-known that the maximalization of a coaction of a locally compact group on a C*-algebra enjoys a universal property. We show how this important property can be deduced from a categorical framework by exploiting ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Solution methods for the nonlinear PDE of the Rudin–Osher–Fatemi (ROF) and minimum-surface models are fundamental for many modern applications. Many efficient algorithms have been proposed. First-order methods are common. ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
This paper presents a new efficient algorithm based on the spectral-Galerkin numerical approximations complemented by a magnetohydrodynamics–Boussinesq model and a new solver for studying the development of a Rayleigh–Taylor ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
A classical technique to construct polynomial preserving extensions of scalar functions defined on the boundary of an simplex to the interior is to use so-called rational blending functions. The purpose of this paper is ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
(Master thesis / Masteroppgave, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
The purpose of this paper is to present and discuss pedagogical frameworks and approaches to developing, delivering, and evaluating a new interdisciplinary course within the domain of energy informatics at both Master’s ...
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
In this thesis we investigate the difficulties associated with the prediction of the behavior of turbulent flow in straight and helically coiled pipes, due to their prevalence in real world scenarios. To simulate the ...
(Master thesis / Masteroppgave, 2023)
Current treatment regimens have been effective in suppressing the progression of HIV. They prevent transmission and support people living with HIV to lead healthy lives. However, there are numerous clinical, social, and ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We analyze the question of which motivic homotopy types admit smooth schemes as representatives. We show that given a pointed smooth affine scheme X and an embedding into affine space, the affine deformation space of the ...
(Master thesis / Masteroppgave, 2023)