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Stochastic Modeling with Fractional and non-Fractional Noises: Applications to Finance and Insurance 
Lagunas Merino, Marc (Doctoral thesis / Doktoravhandling, 2020)
In my doctoral work, I have developed stochastic models that use different type of noises, to price financial derivatives and insurance products. Stock prices have a random component in their behavior that characterizes ...
Intracranial pressure elevation alters CSF clearance pathways 
Vinje, Vegard; Eklund, Anders; Mardal, Kent-Andre; Rognes, Marie E; Støverud, Karen-Helene (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Background Infusion testing is a common procedure to determine whether shunting will be beneficial in patients with normal pressure hydrocephalus. The method has a well-developed theoretical foundation and ...
Investigations into real determinantal quartic hypersurfaces 
Helsø, Martin (Doctoral thesis / Doktoravhandling, 2020)
This thesis is a collection of four papers about symmetric and Hermitian determinantal representations of quartic hypersurfaces. - Paper I classifies rational quartic symmetroids in 3-space. - Paper II classifies rational ...
Selection of variables for multivariable models: opportunities and limitations in quantifying model stability by resampling 
Wallisch, Christine; Dunkler, Daniela; Rauch, Geraldine; De Bin, Riccardo; Heinze, Georg (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Statistical models are often fitted to obtain a concise description of the association of an outcome variable with some covariates. Even if background knowledge is available to guide preselection of covariates, stepwise ...
Data-driven methods for multiple sensor streams, with applications in the maritime industry 
Brandsæter, Andreas (Doctoral thesis / Doktoravhandling, 2020)
Epidemiological, econometric, and decision theoretic applications of statistical inference 
Stoltenberg, Emil Aas (Doctoral thesis / Doktoravhandling, 2020)
This thesis presents new statistical methodology, models, and estimators that are geared towards answering scientific questions in epidemiology and medicine, and in economics and finance. The questions are: (i) What is the ...
A mixed mode cohesive model for FRP laminates incorporating large scale bridging behaviour 
Joki, Reidar Kvale; Grytten, Frode; Hayman, Brian; Sørensen, Bent Fruergaard (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
A user defined cohesive material model is implemented in the LS-DYNA finite element code. The model is based on interface properties characterised from DCB specimens loaded with unequal bending moments. Different mode ...
Modeling and estimation of stochastic transition rates in life insurance with regime switching based on generalized Cox processes 
Banos, David; Bølviken, Erik; Duedahl, Sindre; Proske, Frank Norbert (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
In this paper we aim at modeling stochastic transition rates of state processes in life insurance by using generalized Cox processes. A feature of a our non-Gaussian model is that it can be used to capture ‘regime switching’ ...
Computations in A1-homotopy theory. Contractibility and enumerative geometry 
Pauli, Sabrina (Doctoral thesis / Doktoravhandling, 2020)
Geometric and arithmetic properties of motivic cohomology theories 
Kolderup, Håkon (Doctoral thesis / Doktoravhandling, 2020)
Accounting for grouped predictor variables or pathways in high-dimensional penalized Cox regression models 
Belhechmi, Shaima; Bin, Riccardo D; Rotolo, Federico; Michiels, Stefan (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Background The standard lasso penalty and its extensions are commonly used to develop a regularized regression model while selecting candidate predictor variables on a time-to-event outcome in high-dimensional ...
Statistical solutions of hyperbolic systems of conservation laws: Numerical approximation 
Fjordholm, Ulrik Skre; Lye, Kjetil; Mishra, Siddhartha; Weber, Franziska (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
Statistical solutions are time-parameterized probability measures on spaces of integrable functions, which have been proposed recently as a framework for global solutions and uncertainty quantification for multi-dimensional ...
Assessing graph-based read mappers against a baseline approach highlights strengths and weaknesses of current methods 
Grytten, Ivar; Rand, Knut D; Nederbragt, Alexander J; Sandve, Geir K (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Background Graph-based reference genomes have become popular as they allow read mapping and follow-up analyses in settings where the exact haplotypes underlying a high-throughput sequencing experiment are ...
Apparent diffusion coefficient estimates based on 24 hours tracer movement support glymphatic transport in human cerebral cortex 
Valnes, Lars Magnus; Mitusch, Sebastian; Ringstad, Geir; Eide, Per Kristian; Funke, Simon Wolfgang; Mardal, Kent-Andre (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
The recently proposed glymphatic system suggests that bulk flow is important for clearing waste from the brain, and as such may underlie the development of e.g. Alzheimer’s disease. The glymphatic hypothesis is still ...
Rational quartic symmetroids 
Helsø, Martin (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
We classify rational, irreducible quartic symmetroids in projective 3-space. They are either singular along a line or a smooth conic section, or they have a triple point or a tacnode.
Heisenberg modules as function spaces 
Enstad, Ulrik Bo Rufus; Austad, Are (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Discontinuous Galerkin methods for multiphase flow 
Landet, Tormod Ravnanger (Doctoral thesis / Doktoravhandling, 2020)
This thesis describes a finite element method for simulation of free-surface flows, such as ocean waves, using the discontinuous Galerkin method. Free-surface flows where there is a large difference in density between two ...
New and extended design moment formulations for slender columns in frames with sway 
Hellesland, Jostein (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Present first-order based design code formulations for slender columns in frames with sway, employ sway magnification factors (for global second-order effects) also as moment magnifiers for the individual columns of the ...
Regularization Effects for Certain Dynamical Systems through Gaussian Noises 
Amine, Oussama (Doctoral thesis / Doktoravhandling, 2020)
It is well known that randomness can be used as an effective tool to turn a priori ill-posed problems into well-posed ones. This is useful both for answering questions at the theoretical as well as the practical levels. ...
CSM cycles of matroids 
Rincon, Felipe; Lopez de Medrano, Lucia; Shaw, Kristin (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
We define Chern–Schwartz–MacPherson (CSM) cycles of an arbitrary matroid. These are balanced weighted fans supported on the skeleta of the corresponding Bergman fan. In the case that the matroid arises from a complex ...
Extreme wave statistics of long-crested irregular waves over a shoal 
Trulsen, Karsten; Raustøl, Anne; Jorde, Stian; Rye, Lisa Bæverfjord (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
We report laboratory experiments of long-crested irregular water surface waves propagating over a shoal. For a sufficiently shallow shoal we find that the surface elevation can have a local maximum of skewness and kurtosis ...
When will a sequence of points in a Riemannian submanifold converge? 
Truong, Tuyen Trung (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Let X be a Riemannian manifold and xn a sequence of points in X. Assume that we know a priori some properties of the set A of cluster points of xn. The question is under what conditions that xn will converge. An answer to ...
Robust preconditioning for coupled Stokes–Darcy problems with the Darcy problem in primal form 
Holter, Karl Erik; Kuchta, Miroslav; Mardal, Kent-Andre (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
The coupled Darcy–Stokes problem is widely used for modeling fluid transport in physical systems consisting of a porous part and a free part. In this work we consider preconditioners for monolithic solution algorithms of ...
Time-to-Event Prediction with Neural Networks 
Kvamme, Håvard (Doctoral thesis / Doktoravhandling, 2020)
In the last decades the analytical value of data has really become apparent and the amount of data collected has vastly increased. This enables us to approach problems in more data driven manners. In the thesis, I have ...
Poincare path integrals for elasticity 
Christiansen, Snorre H; Hu, Kaibo; Sande, Espen (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
Majorization for (0,1)-matrices 
Dahl, Geir; Guterman, Alexander; Shteyner, Pavel (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Seasonal and pandemic influenza during pregnancy and risk of fetal death: A Norwegian registry‑based cohort study 
Gunnes, Nina; Gjessing, Håkon K.; Bakken, Inger Johanne Landsjøåsen; Ghaderi, Sara; Gran, Jon Michael; Hungnes, Olav; Magnus, Per; Samuelsen, Sven Ove; Skrondal, Anders; Stoltenberg, Camilla; Trogstad, Lill; Wilcox, Allen James; Håberg, Siri Eldevik (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Previous studies of fetal death with maternal influenza have been inconsistent. We explored the effect of maternal influenza-like illness (ILI) in pregnancy on the risk of fetal death, distinguishing between diagnoses ...
Alternating Sign Matrices -- Extensions, Konig-properties, and Primary Sum-Sequences 
Brualdi, R.A.; Dahl, Geir (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
This paper is concerned with properties of permutation matrices and alternating sign matrices (ASMs). An ASM is a square (0,±1)-matrix such that, ignoring 0’s, the 1’s and −1’s in each row and column alternate, beginning ...
More efficient time integration for Fourier pseudospectral DNS of incompressible turbulence 
Ketcheson, David I.; Mortensen, Mikael; Parsani, Matteo; Schilling, Nathanael (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
Time integration of Fourier pseudospectral DNS is usually performed using the classical fourth‐order accurate Runge‐Kutta method or other second‐ or third‐order methods, with a fixed step size. We investigate the use of ...
Online Monitoring Scheme Using PCA through Kullback-Leibler Divergence Analysis Technique for Fault Detection 
Bounoua, Wahiba; Benkara, Amina B.; Kouadri, Abdelmalek; Bakdi, Azzeddine (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
Principal component analysis (PCA) is a common tool in the literature and widely used for process monitoring and fault detection. Traditional PCA is associated with the two well-known control charts, the Hotelling’s T2 and ...
Patient-specific Modeling of the Human Brain using Magnetic Resonance Imaging 
Valnes, Lars Magnus (Doctoral thesis / Doktoravhandling, 2020)
Dementia is a growing concern for the health-care in the world and most treatment strategies are not successful. Dementia is associated with accumulation of metabolic waste in the form of protein fragments. Recent breakthroughs ...
Pricing of commodity derivatives on processes with memory 
Benth, Fred Espen; Khedher, Asma; Vanmaele, Michèle (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Spot option prices, forwards and options on forwards relevant for the commodity markets are computed when the underlying process S is modelled as an exponential of a process ξ with memory as, e.g., a Volterra equation ...
Robust active flow control over a range of Reynolds numbers using an artificial neural network trained through deep reinforcement learning 
Tang, Hongwei; Rabault, Jean; Kuhnle, Alexander; Wang, Yan; Wang, Tongguang (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
This paper focuses on the active flow control of a computational fluid dynamics simulation over a range of Reynolds numbers using deep reinforcement learning (DRL). More precisely, the proximal policy optimization (PPO) ...
Effects of rotational submarine slump dynamics on tsunami-genesis – new insight from idealized models and the 1929 Grand Banks event 
Zengaffinen, Thomas; Løvholt, Finn; Pedersen, Geir Kleivstul; Harbitz, Carl Bonnevie (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Sediment slumps are known to have generated important tsunamis such as the 1998 Papua New Guinea (PNG) and the 1929 Grand Banks events. Tsunami modellers commonly use solid blocks with short run-out distances to simulate ...
On environmental contours for marine and coastal design 
Ross, Emma; Astrup, Ole Christian; Bitner-Gregersen, Elzbieta; Bunn, Nigel; Feld, Graham; Gouldby, Ben; Huseby, Arne; Liu, Ye; Randell, David; Vanem, Erik; Jonathan, Philip (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
Environmental contours are used in structural reliability analysis of marine and coastal structures as an approximate means to locate the boundary of the distribution of environmental variables, and hence sets of environmental ...
The Braess' paradox for pendent twins 
Ciardo, Lorenzo (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Kemeny's constant κ(G) of a connected undirected graph G can be interpreted as the expected transit time between two randomly chosen vertices for the Markov chain associated with G. In certain cases, inserting a new edge ...
On very effective hermitian K-theory 
Ananyevskiy, Alexey; Röndigs, Oliver; Østvær, Paul Arne (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
We argue that the very effective cover of hermitian K-theory in the sense of motivic homotopy theory is a convenient algebro-geometric generalization of the connective real topological K-theory spectrum. This means the ...
The cure model in perinatal epidemiology 
Stoltenberg, Emil Aas; Nordeng, Hedvig Marie Egeland; Ystrøm, Eivind; Samuelsen, Sven Ove (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
In the statistical literature, the class of survival analysis models known as cure models has received much attention in recent years. Cure models seem not, however, to be part of the statistical toolbox of perinatal ...
Variance and interest rate risk in unit-linked insurance policies 
Baños, David; Lagunas, Marc; Ortiz-Latorre, Salvador (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
One of the risks derived from selling long-term policies that any insurance company has arises from interest rates. In this paper, we consider a general class of stochastic volatility models written in forward variance ...
Twenty-seven questions about the cubic surface 
Ranestad, Kristian; Sturmfels, Bernd (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
We present a collection of research questions on cubic surfaces in 3-space. These questions inspired the present collection of papers. This article serves as the introduction to the issue. The number of questions is meant ...
Bayesian seismic inversion for stratigraphic horizon, lithology, and fluid prediction 
Kolbjørnsen, Odd; Buland, Arild; Hauge, Ragnar; Røe, Per; Ndingwan, Abel Onana; Aker, Eyvind (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
We have developed an efficient methodology for Bayesian prediction of lithology and pore fluid, and layer-bounding horizons, in which we include and use spatial geologic prior knowledge such as vertical ordering of ...
Backtracking Gradient Descent Method and Some Applications in Large Scale Optimisation. Part 2: Algorithms and Experiments 
Truong, Tuyen Trung; Nguyen, Hang-Tuan (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
In this paper, we provide new results and algorithms (including backtracking versions of Nesterov accelerated gradient and Momentum) which are more applicable to large scale optimisation as in Deep Neural Networks. We also ...
Pincherle's theorem in reverse mathematics and computability theory 
Normann, Dag; Sanders, Sam (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
We study the logical and computational properties of basic theorems of uncountable mathematics, in particular Pincherle's theorem, published in 1882. This theorem states that a locally bounded function is bounded on certain ...
Towards definition of the risk premium function 
Krecar, Nikola; Benth, Fred Espen; Gubina, Andrej (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
Successful trading in electricity markets relies on the market actor's ability to accurately forecast the electricity price. The fundamental electricity price models use market information, provided by various price drivers, ...
Granular viscosity from plastic yield surfaces: The role of the deformation type in granular flows 
Rauter, Matthias; Barker, T.; Fellin, W. (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Numerical simulations of granular flows with Navier–Stokes type models emerged in the last decade, challenging the well established depth-averaged models. The structure of these equations allows for extension to general ...
Measure-theoretic Uniformity and the Suslin Functional 
Normann, Dag (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
Given a set A in the unit interval and the associated Lebesgue measure λ, it is a natural question whether we may (in some sense) compute the measure λ(A) in terms of the set A. Under the moniker measure theoretic uniformity, ...
Experiments on air entrainment produced by a circular free falling jet 
Ramirez De La Torre, Reyna Guadalupe; Jensen, Atle; Kuchta, Miroslav (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
The process of a circular free falling jet entering an idle pool was studied with the objective of determining a relation between the naturally occurring disturbances on the jet surface and air entrainment. To this end the ...
Two-phase flow simulations at 0 - 4° inclination in an eccentric annulus 
Friedemann, Christopher; Mortensen, Mikael; Nossen, Jan (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Co-current two-phase simulations of gas-liquid flow with mixture velocities from 1.2 to 4.2 m/s were run in a partially eccentric annulus and compared with entirely eccentric and concentric experimental data collected at ...
Strengthened convexity of positive operator monotone decreasing functions 
Kirihata, Megumi; Yamashita, Makoto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
We prove a strengthened form of convexity for operator monotone decreasing positive functions defined on the positive real numbers. This extends Ando and Hiai's work to allow arbitrary positive maps instead of states (or ...
First-Order Concatenation Theory with Bounded Quantifiers 
Kristiansen, Lars; Murwanashyaka, Juvenal (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
We study first-order concatenation theory with bounded quantifiers. We give axiomatizations with interesting properties, and we prove some normal-form results. Finally, we prove a number of decidability and undecidability results.
DNA copy number motifs are strong and independent predictors of survival in breast cancer 
Pladsen, Arne Valebjørg; Nilsen, Gro; Rueda, Oscar M.; Aure, Miriam Ragle; Borgan, Ørnulf; Liestøl, Knut; Vitelli, Valeria; Frigessi Di Rattalma, Arnoldo; Langerød, Anita; Mathelier, Anthony; Engebråten, Olav; Kristensen, Vessela N.; Wedge, David C.; Van Loo, Peter; Caldas, Carlos; Børresen-Dale, Anne-Lise; Russnes, Hege Elisabeth Giercksky; Lingjærde, Ole Christian (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Somatic copy number alterations are a frequent sign of genome instability in cancer. A precise characterization of the genome architecture would reveal underlying instability mechanisms and provide an instrument for outcome ...
Modelling extreme claims via composite models and threshold selection methods 
Wang, Yinzhi; Hobæk Haff, Ingrid; Huseby, Arne (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
The existence of large and extreme claims of a non-life insurance portfolio influences the ability of (re)insurers to estimate the reserve. The excess over-threshold method provides a way to capture and model the typical ...
Fully-dynamic risk-indifference prices and no-good-deal bounds 
Bion-Nadal, Jocelyne; Di Nunno, Giulia (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
The seller's risk-indifference price evaluation is studied. We propose a dynamic risk-indifference pricing criterion derived from fully-dynamic risk measures on the $L_p$-spaces for $p\in [1,\infty]$. The concept of ...
A Bayesian Binomial Regression Model with Latent Gaussian Processes for Modelling DNA Methylation 
Hubin, Aliaksandr; Storvik, Geir Olve; Grini, Paul Eivind; Butenko, Melinka Alonso (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Epigenetic observations are represented by the total number of reads from a given pool of cells and the number of methylated reads, making it reasonable to model this data by a binomial distribution. There are numerous ...
A pencil of Enriques surfaces with non-algebraic integral Hodge classes 
Ottem, John Christian; Suzuki, Fumiaki (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
We prove that there exists a pencil of Enriques surfaces defined over Q with non-algebraic integral Hodge classes of non-torsion type. This gives the first example of a threefold with the trivial Chow group of zero-cycles ...
On deformations of quintic and septic hypersurfaces 
Ottem, John Christian; Schreieder, Stefan (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
An old question of Mori asks whether in dimension at least three, any smooth specialization of a hypersurface of prime degree is again a hypersurface. A positive answer to this question is only known in degrees two and ...
Failure of the integral Hodge conjecture for threefolds of Kodaira dimension zero 
Ottem, John Christian; Benoist, Olivier (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
We prove that the product of an Enriques surface and a very general curve of genus at least 1 does not satisfy the integral Hodge conjecture for 1-cycles. This provides the first examples of smooth projective complex ...
Poincaré-Friedrichs inequalities of complexes of discrete distributional differential forms 
Christiansen, Snorre H; Licht, Martin Werner (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
We derive bounds for the constants in Poincaré–Friedrichs inequalities with respect to mesh-dependent norms for complexes of discrete distributional differential forms. A key tool is a generalized flux reconstruction which ...
Existence of weak solutions to a certain homogeneous parabolic Neumann problem involving variable exponents and cross-diffusion 
Arumugam, Gurusamy; Erhardt, André Henrik (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
This paper deals with a homogeneous Neumann problem of a nonlinear diffusion system involving variable exponents dependent on spatial and time variables and cross-diffusion terms. We prove the existence of weak solutions ...
Modelling the joint behaviour of electricity prices in interconnected markets 
Christensen, Troels Sønderby; Benth, Fred Espen (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
The liberalization of energy markets worldwide during recent decades has introduced severe implications for the price formation in these markets. Especially within the European day-ahead electricity markets, increased ...
Some new theoretical and computational results around the Jacobian conjecture 
Truong, Tuyen Trung (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
In this paper, we study a so-called Condition C1 on square matrices with complex coefficients and a weaker Condition C2. For Druzkowski maps Condition C2 is equivalent to the Jacobian conjecture. We show that these conditions ...
Psychometrics and the modelling of publication bias 
Moss, Jonas (Doctoral thesis / Doktoravhandling, 2020)
Cross-streamer wavefield reconstruction through wavelet domain 
Greiner, Thomas Larsen; Hlebnikov, Volodya; Lie, Jan Erik; Kolbjørnsen, Odd; Kjeldsrud Evensen, Andreas; Harris Nilsen, Espen; Vinje, Vetle; Gelius, Leiv-J. (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
Seismic exploration in complex geologic settings and shallow geologic targets has led to a demand for higher spatial and temporal resolution in the final migrated image. Conventional marine seismic and wide-azimuth data ...
Approximating Expected Value of an Option with Non-Lipschitz Payoff in Fractional Heston-Type Model 
Mishura, Yuliya; Yurchenko-Tytarenko, Anton (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
In this paper, we consider option pricing in a framework of the fractional Heston-type model with [Formula: see text]. As it is impossible to obtain an explicit formula for the expectation [Formula: see text] in this case, ...
Towards the degree of the PGL(4)-orbit of a cubic surface 
Cazzador, Elisa; Skauli, Bjørn (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
We study the action of the group PGL(4) on the parameter space P 19 of complex cubic surfaces. Specifically, we look at how the techniques used by Aluffi and Faber in [1] can be extended to compute the degree of the orbit ...
Dynamics of a neuron-glia system: the occurrence of seizures and the influence of electroconvulsive stimuli 
Erhardt, André Henrik; Mardal, Kent-Andre; Schreiner, Jakob Emil (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
In this paper, we investigate the dynamics of a neuron–glia cell system and the underlying mechanism for the occurrence of seizures. For our mathematical and numerical investigation of the cell model we will use bifurcation ...
Real algebraic curves on real del Pezzo surfaces 
Manzaroli, Matilde (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
Abstract The study of the topology of real algebraic varieties dates back to the work of Harnack, Klein, and Hilbert in the 19th century; in particular, the isotopy-type classification of real algebraic curves ...
The homological projective dual of Sym2 P(V) 
Rennemo, Jørgen Vold (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
We study the derived category of a complete intersection X of bilinear divisors in the orbifold Sym2P(V) . Our results are in the spirit of Kuznetsov’s theory of homological projective duality, and we describe a homological ...
Confidence in confidence distributions! 
Cunen, Celine; Hjort, Nils Lid; Schweder, Tore (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
The recent article ‘Satellite conjunction analysis and the false confidence theorem’ (Balch et al. 2019, Satellite conjunction analysis and the false confidence theorem. Proc. R. Soc. A475, 20180565) points to certain ...
Statistical sightings of better angels: Analysing the distribution of battle-deaths in interstate conflict over time 
Cunen, Celine Marie Løken; Hjort, Nils Lid; Nygård, Håvard Mokleiv (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Have great wars become less violent over time, and is there something we might identify as the long peace? We investigate statistical versions of such questions, by examining the number of battle-deaths in the Correlates ...
Membrane budding dynamics by diffusion and kinetic recruitment of proteins 
Rojas Molina, Rossana (Doctoral thesis / Doktoravhandling, 2020)
Biological membranes have fundamental implications in a large number of processes in the cell. As such, membranes possess important properties: they can change their shape as an elastic surface, and they are fluid, which ...
On Interpretability between some weak essential undecidable theories. 
Kristiansen, Lars; Murwanashyaka, Juvenal (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
We introduce two essentially undecidable first-order theories WT and T. The intended model for the theories is a term model. We prove that WT is mutually interpretable with Robinson’s R. Moreover, we prove that Robinson’s ...
Comparative effectiveness of dopamine agonists and monoamine oxidase type-B inhibitors for Parkinson’s disease: a multiple treatment comparison meta-analysis 
Binde, Caroline Ditlev; Tvete, Ingunn Fride; Gåsemyr, Jørund Inge; Natvig, Bent; Klemp, Marianne (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Abstract Purpose To investigate the comparative effectiveness of dopamine agonists and monoamine oxidase type-B (MAO-B) inhibitors available for treatment of Parkinson’s disease. ...
Experimental evidence for a universal threshold characterizingwave-induced sea ice break-up 
Voermans, Joey; Rabault, Jean; Filchuk, Kirill V.; Ryzhov, Ivan; Heil, Petra; Marchenko, Aleksey; Collins, Clarence O.; dabboor, mohammed; Sutherland, Graig J.; Babanin, Alexander V. (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Waves can drastically transform a sea ice cover by inducing break-up over vast distances in the course of a few hours. However, relatively few detailed studies have described this phenomenon in a quantitative manner, and ...
Predicting time to graduation at a large enrollment American university 
Aiken, John Mark; De Bin, Riccardo; Hjorth-Jensen, Morten; Caballero, Marcos Daniel (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
The time it takes a student to graduate with a university degree is mitigated by a variety of factors such as their background, the academic performance at university, and their integration into the social communities of ...
Forward-backward stochastic differential equation games with delay and noisy memory 
Dahl, Kristina Rognlien (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
The goal of this paper is to study a stochastic game connected to a system of forward-backward stochastic differential equations (FBSDEs) involving delay and noisy memory. We derive sufficient and necessary maximum principles ...
Automorphisms of Hilbert schemes of points on surfaces 
Belmans, Pieter; Oberdieck, Georg; Rennemo, Jørgen Vold (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
We show that every automorphism of the Hilbert scheme of n points on a weak Fano or general type surface is natural, i.e., induced by an automorphism of the surface, unless the surface is a product of curves and n=2. In ...
Focused model selection for linear mixed models with an application to whale ecology 
Cunen, Celine; Hjort, Nils Lid; Walløe, Lars (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
A central point of disagreement, in certain long-standing discussions about a particular whaling dataset in the Scientific Committee of the International Whaling Commission, has directly involved model selection issues for ...
Experimental investigations of two-phase flows. Dynamics of stratified and particle-laden flows in pipes and flumes 
Vollestad, Petter (Doctoral thesis / Doktoravhandling, 2020)
Airflow above water waves represents a challenging problem, relevant both in air-sea interactions and for multiphase pipe flows. Understanding this interaction is important to accurately predict the exchange of heat, ...
Confidence Distributions for FIC Scores 
Cunen, Celine; Hjort, Nils Lid (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
When using the Focused Information Criterion (FIC) for assessing and ranking candidate models with respect to how well they do for a given estimation task, it is customary to produce a so-called FIC plot. This plot has the ...
Strong submeasures and applications to non-compact dynamical systems 
Truong, Tuyen Trung (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
BayesMallows: An R Package for the Bayesian Mallows Model 
Sørensen, Øystein; Crispino, Marta; Liu, Qinghua; Vitelli, Valeria (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Abstract BayesMallows is an R package for analyzing preference data in the form of rankings with the Mallows rank model, and its finite mixture extension, in a Bayesian framework. The model is grounded on the idea that the ...
Air Traffic Flow Management with Layered Workload Constraints 
Mannino, Carlo; Nakkerud, Andreas; Sartor, Giorgio (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Many regions of the world are currently struggling with congested airspace, and Europe is no exception. Motivated by our collaboration with relevant European authorities and companies in the Single European Sky ATM Research ...
Coupling rheology and segregation in granular flows 
Barker, T.; Rauter, Matthias; Maguire, E. S. F.; Johnson, C. G.; Gray, J. M. N. T. (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
During the last fifteen years there has been a paradigm shift in the continuum modelling of granular materials; most notably with the development of rheological models, such as the μ(I) μ(I) -rheology (where μ μ is the ...
Birnbaum criticality and importance measures for multistate systems with repairable components 
Huseby, Arne; Kalinowska, Martyna; Abrahamsen, Tobias (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
We suggest four new measures of importance for repairable multistate systems based on the classical Birnbaum measure. Periodic component life cycles and general semi-Markov processes are considered. Similar to the Birnbaum ...
A second-order numerical method for the aggregation equations 
Solem, Susanne; Fjordholm, Ulrik Skre; Carrillo, José A (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
Inspired by so-called TVD limiter-based second-order schemes for hyperbolic conservation laws, we develop a formally second-order accurate numerical method for multi-dimensional aggregation equations. The method allows for ...
CARMA Approximations and Estimation 
Lavagnini, Silvia (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
CARMA(p, q) processes are compactly defined through a stochastic differential equation (SDE) involving q + 1 derivatives of the Lévy process driving the noise, despite this latter having in general no differentiable paths. ...
Existence and uniqueness of weak solutions to parabolic problems with nonstandard growth and cross diffusion 
Arumugam, Gurusamy; Erhardt, André Henrik (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
A Novel Method for Circuits of Perfect Electric Conductors in Unstructured Particle-in-Cell Plasma–Object Interaction Simulations 
Marholm, Sigvald; Darian, Diako; Mortensen, Mikael; Miloch, Wojciech Jacek; Marchand, Richard (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
A novel numerical method has been developed that incorporates electrically conducting objects into particle-in-cell simulations of electrostatic plasma. The method allows multiple objects connected by voltage and current ...
On instabilities of deep learning in image reconstruction and the potential costs of AI 
Antun, Vegard; Renna, Francesco; Poon, Clarice; Adcock, Ben; Hansen, Anders Christian (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
Deep learning, due to its unprecedented success in tasks such as image classification, has emerged as a new tool in image reconstruction with potential to change the field. In this paper we demonstrate a crucial phenomenon: ...
Partial identification of latent correlations with binary data 
Grønneberg, Steffen; Moss, Jonas; Foldnes, Njål (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
The tetrachoric correlation is a popular measure of association for binary data and estimates the correlation of an underlying normal latent vector. However, when the underlying vector is not normal, the tetrachoric ...
Remarks on the positivity of the cotangent bundle of a K3 surface 
Ottem, John Christian; Gounelas, Frank (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
Using recent results of Bayer–Macrì, we compute in many cases the pseudoeffective and nef cones of the projectivised cotangent bundle of a smooth projective K3 surface. We then use these results to construct explicit ...
AIS-Based Multiple Vessel Collision and Grounding Risk Identification based on Adaptive Safety Domain 
Bakdi, Azzeddine; Glad, Ingrid Kristine; Vanem, Erik; Engelhardtsen, Øystein (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
The continuous growth in maritime traffic and recent developments towards autonomous navigation have directed increasing attention to navigational safety in which new tools are required to identify real-time risk and complex ...
Existence of weak solutions to the Keller-Segel chemotaxis system with additional cross-diffusion 
Arumugam, Gurusamy; Erhardt, André Henrik; Eswaramoorthy, Indurekha; Krishnan, Balachandran (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2020)
In this paper, we consider the Keller–Segel chemotaxis system with additional cross-diffusion term in the second equation. This system is consisting of a fully nonlinear reaction–diffusion equations with additional ...
The Fourier-Stieltjes algebra of a C*-dynamical system II 
Bedos, Erik Christopher; Conti, Roberto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)
We continue our study of the Fourier–Stieltjes algebra associated to a twisted (unital, discrete) C*-dynamical system and discuss how the various notions of equivalence of such systems are reflected at the algebra level. ...
Stability and accuracy in compressive sensing and deep learning 
Antun, Vegard (Doctoral thesis / Doktoravhandling, 2020)
There are currently two paradigm shifts happening in society and scientific computing: (1) Artificial Intelligence (AI) is replacing humans in problem solving, and, (2) AI is replacing the standard algorithms in computational ...
Digital superresolution in seismic AVO inversion 
Kolbjørnsen, Odd; Evensen, Andreas Kjelsrud; Nilsen, Espen Harris; Lie, Jan Erik (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)
The sparseness promoted by the total variation norm is utilized to achieve superresolution amplitude-variation-with-offset (AVO) inversion. The total variation norm promotes solutions that have constant values within ...
Combinatorial Perron Parameters for Trees 
Andrade, Enide; Ciardo, Lorenzo; Dahl, Geir (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)
Time-to-Event Prediction with Neural Networks and Cox Regression 
Kvamme, Håvard; Borgan, Ørnulf; Scheel, Ida (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)
New methods for time-to-event prediction are proposed by extending the Cox proportional hazards model with neural networks. Building on methodology from nested case-control studies, we propose a loss function that scales ...
Digital superresolution in seismic amplitude processing 
Kolbjørnsen, Odd; Evensen, Andreas Kjelsrud (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2019)
We describe a method for geophysical inversion of seismic amplitude data, we argue that this type of inversion is a natural extension of the processing flow. The methodology is related to digital image-video restoration ...
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