The topic of this thesis is stochastic optimal control and reinforcement learning. Our aim is to unify the theory and language used in the two fields. The thesis presents both frameworks and discuss similarities, differences ...

Utgangspunktet var å bruke uføremodellering fra historisk data fra SpareBank 1 sitt livsforsikringsselskap og knytte dette til sosioøkonomiske forklaringsvariabler. Hovedmålet var å komme frem til en modell som kunne brukes ...

In nested case-control and case-cohort studies of time-to-events, covariate information is collected for all individuals in the sampled cohort. Often information on some of the covariates are easily available for the entire ...

Hoftebrudd innebærer brudd i lårhalsen eller i området ved den lille og store lårbensknuten. Vi vet at 70% av individer med hoftebrudd er kvinner og også at 70% av disse individene er over 70 år. I denne oppgaven er vi ...

The aim of this thesis is twofold. First we introduce a Hilbert-valued multi-market two-factor forward curve model satisfying the Heath-Jarrow-Morton equation. Each forward curve consist of a shared source of noise and a ...

Lately, there has been a lot of research on using deep learning as an alternative method to solve PDEs. The major benefit is being able to solve in higher dimensions without using a full grid of mesh points. Here we try ...

Bølge responsen til en 2d elastisk plate har blitt mod- ellert som et flytende solcellepanel og studert under påvirkn- ing av periodiske overflate vannsbølger. Modellen anal- yseres med lineær bølge teori og hydrodynamikk. ...

We show how both Poisson regression and recurrent events models can be used to model the number of claims to expect on a car insurance policy. We also show that the same is true when these models are extended to include a ...

There is a hypothesis among epidemiologists that presence of bacteria in the blood, or bacteraemia, is a risk factor for serious health conditions such as cardiovascular disease. Combine this with the fact that cardiovascular ...

Recovering signals from undersampled measurements is a well-studied topic in mathematics. During the last decade, many attempts have been made to solve this problem using machine learning, with resulting reconstruction ...

Havis dekker store havområder både nord og sør på jordkloden. Med minkende isdekke i Arktis er det viktig å tilegne seg kunnskap om hvordan havet og isen påvirker hverandre. I denne oppgaven blir bølgepropagasjon i åpent ...

Irregular wavefield propagating from open water into water covered by an elastic sheet.

Over the past decade, compressive sensing and deep learning have emerged as viable techniques for reconstruction of images using far fewer samples than what Shannon's sampling theory dictates. The two methods are fundamentally ...

Life expectancies at birth are usually computed from period life tables, i.e. on the basis of mortality in a particular calendar year. Over the last century, there has been a worldwide decline in mortality rates at most ...

In this thesis, results from numerical simulations and experiments on drops squeezing through constricted capillaries are presented. The purpose is to understand how the capillary number changes how drops are deformed as ...

Cancer is a major public health problem worldwide where it is the second leading cause of death. To improve safety and efficacy of anti-cancer drugs with less side effects, nanoparticles (NPs) have been studied heavily. ...

Vi har sett på hvordan kinematikken i et irregulært, langkammet bølgefelt utvikler seg når bølgefeltet beveger seg over en grunne. Vi har funnet at den generelle oppførselen til skjevheten til hastighetsmålingene reflekterer ...

The timing of cardiac events is essential for the analysis of certain components of myocardial function [36]. Finding an algorithm that detects these timings has therefore been the subject of several studies[36]. In this ...

Recommender systems are algorithms that suggest content or products to users on the internet. These are becoming ever more important due to the massive growth of content on popular web sites, yet their design is often only ...

Ventricular fibrillation (VF) occurs in ~10 % of myocardial infarction (MI) patients. These patients have higher in-hospital mortality and increased risk to lethal arrhythmias. The susceptibility for VF during acute MI and ...

Modeling of the blood flow in and around aneurysms with computational fluid dynamics (CFD) is important to better understand why aneurysms form and rupture. CFD modeling requires an accurate representation of the ...

The bidomain and monodomain models describing cardiac electrophysiology are computationally demanding to solve. Employing efficient numerical methods is therefore important for the practical use of these models. In this ...

The field of compressive sensing is a modern field in applied mathematics which receives a lot of attention. In this thesis, we will give some insight into the iterative algorithms used in compressive sensing. We will study ...

Compressed sensing is the study of solving underdetermined systems of linear equations with unique sparse solutions. In addition to this, applications of compressed sensing require that the number of rows of the measurement ...

Applying the computational fluid dynamics software openFoam, we study dead water resistance on a barge. Dead water resistance is the extra drag due to internal waves in the interface between salt water and fresh water. For ...

Computational fluid dynamics, with the software OpenFOAM, has ben used to investi- gate the dead water phenomenon. Investigation was done by simulating a barge moving in stratified waters. Comparison of the turbulence ...

This graduate thesis has been devoted to the examination of spectral methods. The object of the research is to analyse the accuracy and precision of different numerical schemes developed on the basis of mathematical models ...

CFD analysis of a cone grid applied to a flat plate, with mesh generation script.

Conventional 2D medical ultrasound imaging is based on analyzing the backscatter (echoes) from multiple, focused, transmitted acoustic beams. Most imaging systems are very similar in the way they create and record beams. ...

The aim of this thesis is to study the convergence and smoothness of certain nonlinear interpolatory curve subdivision schemes. The emphasis will be on the iterated geometric schemes, which are extensions of the nonlinear ...

Millions of people world wide suffer from asthma, and respiratory diseases are one of the leading causes of death. Patients can be treated or relieved by inhalation of medicine, but the efficiency of the treatment is often ...

The mechanical behavior of the heart has been modeled for decades by using continuum mechanics and numerical methods. A widely used, but rarely discussed, assumption is that inertial effects can be neglected in these models. ...

OpenFOAM and FEniCS are two solver frameworks for solving computational fluid dynamics problems. The former employs the finite volume method to discretize the governing equations, while the latter employs the finite element ...

Computational models of fluids, structures, and the interaction between them shows good promise in science and engineering, with nearly infinitely many applications. However, fluid-structure interaction (FSI) is poorly ...

Muscle ultrasound imaging is a convenient technique to visualize normal and pathological muscle tissue. Studying muscle fascicle pennation angle and fascicle length and their dynamic changes during contraction are important ...

In the recent decade, artificial intelligence and machine learning has become increasingly popular for solving complex real-world problems. In particular problems which was believed to be very hard or in some cases impossible ...

Parametric representations of surfaces in Computer-Aided Geometric Design (CAGD) are often based on connected patches with rectangular parameter domains. Given a loop of four space curves and normal-derivative curves, we ...

This thesis investigates the appliance of the finite element method to long wave propagation in channels. Weak formulations of potential- and velocity based Boussinesq equations were derived, with the normal dependent ...

In this thesis results from numerical simulations of long wave run-up on composite beaches are presented along with the analytical solution to the linear problem. The purpose of this study is to find out which parts of the ...

This thesis presents an experimental investigation on the occurrence of freak waves in a bimodal sea. The bimodal sea consisted of two wave systems traveling in the same direction, with different peak frequencies f_{Pj} ...

This master thesis presents a laboratory investigation of wave slamming forces on a vertical cylinder in deep and intermediate water. The technique of frequency focusing of the incoming wave field allows for generation of ...

We have used the level - set function to divide a computational domain into a solid region and a fluid region to create an idealized model of blood flow in narrow cerebral arteries to simulate the mechanotransduction in ...

Avhandlingen er en del av en større forskning på bimodal sjø. Det er gjort eksperimenter med vindsjø sammen med dønnning, samt bikromatisk bølge bestående av en kort bølge ridende på dønning er genrert i bølgetanken. Det ...

An important aspect in portfolio optimization is the quantification of risk. Variance was the starting point, as proposed by Harry Markowitz in the 1950’s, but it’s obviously flawed since it measures high returns as risk. ...

Syringomyelia is a progressive disease where fluid filled cavities develop inside the spinal cord, and is frequently seen together with Chiari Malformation I (CMI). CMI is characterized by downwards displacements of the ...

Traditionally the compressive sensing theory have been focusing on the three principles of sparsity, incoherence and uniform random subsampling. Recent years research have shown that these principles yield insufficient ...

The numerical solution of differential equations is an algorithmic process with various parameters controlling the accuracy, stability and computational time of the simulation. In Computational Fluid Mechanics (CFD) there ...

Brain aneurysms are focalized diseased blood vessels, often shaped like a balloon, which can rupture and cause bleeding in the brain. The presence of aneurysms is correlated with internal carotid artery (ICA) extracranial ...

One of the challenges related to modelling calcium dynamics in cardiac cells is the large difference in the length scales involved. The dyad, where important processes take place, is very small compared to the whole cell. ...

The intention of this thesis is to give a better understanding of the way that subduction zones evolve, to examine the way that different subduction parameters affect each other and finally to demonstrate how visualization ...

Tynne, porøse plater, oskillerende eller holdt fast under påvirkning av en innkommende bølge, er studert. Bølgen vandrer på et fluid som er antatt inkompressibelt og irrotasjonelt, og lineær potensialteori anvendes. Uttrykk ...

Bølgeinduserte strømninger og bølgedempingsrater for ulike overflate-dekker er undersøkt ved hjelp av PIV og ultralydmålere. To økter med eksperimenter av mekanisk genererte monokromatiske bølger som forplanter seg i en ...

The aim of this work has been to implement a range of Large Eddy Simulation (LES) turbulence models into Oasis, a Computational Fluid Dynamic (CFD) solver for incompressible flows based on the Finite Element method (FEM), ...

Consider a random walk on an undirected, connected graph. On each edge we can set a transition probability to connect two adjacent vertices. The mixing rate of the associated Markov chain to the uniform equilib- rium ...

Det er betraktet to rektangulære geometrier på en fri overflate i 2-D. Når geometriene er adskilt med en liten spalteavstand kan det oppstå stor vertikal bevegelse av væsken. Vanlige lineære sea keeping programmer ...

Studiet undersøker muligheten for å bruke Steamline Upwind/Petrov Galerkin (SUPG) og Discontinuous Galerkin (DG) i adveksjons-dominert skalar-blanding med høyt Schmidt-tall. Forenklede tester viste at DUPG og DG gir dårlig ...

Metagenomics is the investigation of genetic samples directly obtained from the environment. Driven by the rapid development of DNA sequencing technology and continuous reductions in sequencing costs, studies in metagenomics ...

Geodesiske linjer og hyperstrømlinjer er brukt for å visualisere andre ordens tensorer. Dessuten ser vi på en ny måte å fremstille andreordens tensorfelt på. Ved å bruke retning til geodesiske linjer i steden for egenvektorer, ...

Resonant behaviour in the gap between two adjacent bodies on a free surface is investigated numerically. The study is done within the framework of two-dimensional potential theory. It is of common conception that traditional ...

Reaction-Diffusion equations arise in many models in biomedical computing. One of these areas are models for the calcium dynamic in the heart cells. As the terms in reaction-diffusion equations can be solved separately ...