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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 ...
(Doctoral thesis / Doktoravhandling, 2024)
Since the early 2000s, tropical geometry has emerged as a field connecting combinatorics and algebraic geometry in novel ways. Matroids are combinatorial structures which capture and generalize multiple notions, such as ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2024)
Non-monotone inductive definitions were studied in the late 1960’s and early 1970’s with the aim of understanding connections between the complexity of the formulas defining the induction steps and the ordinals measuring ...
(Doctoral thesis / Doktoravhandling, 2024)
Machine Learning techniques are transforming industries, yet their opaque decision-making poses challenges, especially in safety-critical applications like lithium-ion (Li-ion) batteries. Li-ion batteries are pivotal in ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
(Doctoral thesis / Doktoravhandling, 2024)
This dissertation is about geometric objects called affine space and the projective line, which you may picture as a flat plane and as a circle. I have studied the algebraic functions from these objects to themselves. ...
(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 / 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 ...
(Master thesis / Masteroppgave, 2024)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
Millions of tonnes of explosive remnants of war remain in nature, and the volume is continuously growing. The explosive legacy of wars represents an increasing threat to the environment and to societal safety and security. ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2024)
Abstract
In highly renewable power systems the increased weather dependence can result in new resilience challenges, such as renewable energy droughts, or a lack of sufficient renewable generation at times of ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
Shapley values originated in cooperative game theory but are extensively used today as a model-agnostic explanation framework to explain predictions made by complex machine learning models in the industry and academia. ...
(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 ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2024)
We study nodal quintic surfaces with an even set of 16 nodes as analogues of singular Kummer surfaces. The interpretation of the natural double cover of an even 16-nodal quintic as a certain Fano variety of lines could be ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
There are sparse opportunities for direct measurement of upper stratospheric winds, yet improving their representation in subseasonal-to-seasonal prediction models can have significant benefits. There is solid evidence ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2024)
The motivation for this study is to investigate the abilities and limitations of a Nortek Signature1000 acoustic Doppler current profiler (ADCP) regarding fine-scale turbulence measurements. Current profilers offer the ...
(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)
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)
(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. ...
(Master thesis / Masteroppgave, 2024)
Our primary goal was to find analytic expressions for delta of option prices, where the underlying asset’s price is modeled with an exponential normal inverse Gaussian (NIG) process. We used the density method, starting ...
(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)
Abstract Regression modelling often presents a trade-off between predictiveness and interpretability. Highly predictive and popular tree-based algorithms such as Random Forest and boosted trees predict very well the outcome ...
(Journal article / Tidsskriftartikkel / SubmittedVersion, 2024)
We develop multilevel methods for interface-driven multiphysics problems that can be coupled across dimensions and where complexity and strength of the interface coupling deteriorates the performance of standard methods. ...
(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 ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Background
Seasonal variations in environmental exposures at birth or during gestation are associated with numerous adult traits and health outcomes later in life. Whether DNA methylation (DNAm) plays a ...
(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 ...
(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 ...
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)
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)
(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)
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 ...
(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 ...
(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 ...
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, ...
(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. ...
(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)
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)
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 ...
(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, ...
(Master thesis / Masteroppgave, 2023)
(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 ...
Classification of Low Dimensional Algebras Restricted Access
(Master thesis / Masteroppgave, 2023)
(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 ...
(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)
(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 ...
(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)
One of the most widely used tools for causal discovery is based on causal models represented by the framework of Bayesian network. In the most challenging cases of causal discovery the underlying BN structure is not known ...
(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)
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)
(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)
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)
(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)
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)
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)
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)
(Master thesis / Masteroppgave, 2023)
(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)
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)
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)
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)
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)
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)
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 ...
(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.
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We propose in this paper New Q-Newton’s method. The update rule is conceptually very simple, using the projections to the vector subspaces generated by eigenvectors of positive (correspondingly negative) eigenvalues of the ...
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
(Doctoral thesis / Doktoravhandling, 2023)
Artificial intelligence and machine learning are increasingly used in many industries and applications, where more and more important decisions are being made based on machine learning models. However, recent research has ...
(Master thesis / Masteroppgave, 2023)
Harmoniske og anharmoniske egenskaper ved kjeglesnitt Restricted Access
(Master thesis / Masteroppgave, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We present a new stress/total-pressure formulation for poroelasticity that incorporates the coupling with steady nonlinear diffusion modified by stress. This nonlinear problem is written in mixed-primal form, which combines ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Inspired by geological structures formed by magmatic intrusions that deform the Earth's crust, we investigate the elastohydrodynamic growth of a viscoplastic blister under an elastic sheet resting on a prewetted substrate. ...
(Master thesis / Masteroppgave, 2023)
(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 ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
(Chapter / Bokkapittel / SubmittedVersion, 2023)
In the first part of this paper I give the historical background to my initial interest in stochastic analysis and to the writing of my book Stochastic Differential Equations. The first edition of this book was published ...
(Master thesis / Masteroppgave, 2023)
The exploration of regression analysis based on text is understudied compared to other tasks, and there are limited literature on this topic, with very few studies delving into this specific task. This thesis aims to ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
We study the interaction-induced migration of bubbles in shear flow and observe that bubbles suspended in elastoviscoplastic emulsions organize into chains aligned in the flow direction, similarly to particles in viscoelastic ...
(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 ...
(Master thesis / Masteroppgave, 2023)
(Master thesis / Masteroppgave, 2023)
This thesis is concerned with the theory of homological projective duality of A. Kuznetsov. The varieties of interest are projective bundles. By considering the resolution $X =\mathrm{Hilb}^2\mathbb{P}^2$ of the variety ...