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(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 ...
(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 ...
(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 ...
(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 ...
(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, ...
(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 / 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, ...
(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 ...
(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 / 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.
(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 ...
(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 ...
(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 ...
(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. ...
(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)
(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 ...
(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 ...
(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 ...
(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)
Variability in sea ice conditions, combined with strong couplings to the atmosphere and the ocean, lead to a broad range of complex sea ice dynamics. More in-situ measurements are needed to better identify the phenomena ...
(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. ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
Adjustment Coefficients and Exact Rational Expectations in Cointegrated Vector Autoregressive Models
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
In this article, we consider the cointegrated vector autoregressive model with adjustment parameters 𝛼 and cointegration vectors 𝛽.We discuss estimation of the model under the exact linear rational expectations, when we ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
Inspired by Bhatt–Morrow–Scholze’s work on THH, we define Nygaard-completed log prismatic cohomology based on log topological Hochschild homology via filtrations on log THH and its variants. Moreover, of independent ...
(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 ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
We prove constructively the existence of surjective morphisms from affine space onto certain open subvarieties of affine space of the same dimension. For any algebraic set [Formula: see text], we construct an endomorphism ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Abstract There are three contributions to the literature in this note. Firstly, we point out that under some weak conditions the result in Swensen (1986) on the remaining loads in a GI/M/ c queue with impatient customers, ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We consider a nonlinear stochastic partial differential equation (SPDE) that takes the form of the Camassa–Holm equation perturbed by a convective, position-dependent, noise term. We establish the first global-in-time ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
The problem of structure from motion is concerned with recovering the 3-dimensional structure of an object from a set of 2-dimensional images taken by unknown cameras. Generally, all information can be uniquely recovered ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
The vascular tree is crucial for the survival and function of large living tissues. Despite breakthroughs in 3D bioprinting to endow engineered tissues with large blood vessels, there is currently no approach to engineer ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Background Occupational exposures constitute the second leading cause of urinary bladder cancer after tobacco smoking. Increased risks have been found in the petroleum industry, but high-quality exposure data are needed ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Abstract We prove that the comparison map from ‐fixed points to ‐homotopy fixed points, for the ‐fold smash power of a bounded below spectrum , becomes an equivalence after ‐completion if is a finite ‐group and is of finite ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
This paper studies the problem of recovering cameras from a set of fundamental matrices. A set of fundamental matrices is said to be compatible if a set of cameras exists for which they are the fundamental matrices. We ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We study experimentally the dynamics of a water droplet on a tilted and vertically oscillating rigid fibre. As we vary the frequency and amplitude of the oscillations the droplet transitions between different modes: harmonic ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Abstract We establish motivic versions of the theorems of Lin and Gunawardena, thereby confirming the motivic Segal conjecture for the algebraic group of th roots of unity, where is any prime. To achieve this we develop ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
A new approach to quantum theory is proposed in this paper. The basis is taken to be theoretical variables, variables that may be accessible or inaccessible, i.e., it may be possible or impossible for an observer to assign ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
This paper incorporates the theory of Hochschild homology into our program on log motives. We discuss a geometric definition of logarithmic Hochschild homology of animated pre-log rings and construct an André-Quillen type ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
The guaranteed minimum maturity benefit (GMMB) is quite a popular feature embedded in several unit-linked policies offered by insurance companies. The value of this benefit depends on several processes assumed to describe ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Perivascular spaces are important highways for fluid and solute transport in the brain enabling efficient waste clearance during sleep. However, the underlying mechanisms augmenting perivascular flow in sleep are unknown. ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
The paper paper examines columns of elastic frames that are able to displace laterally under axial load. Columns on the same level (story) of such frames may contribute to lateral support (stability) or require lateral ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
The Brier score is commonly used for evaluating probability predictions. In survival analysis, with right-censored observations of the event times, this score can be weighted by the inverse probability of censoring (IPCW) ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Rayleigh–Bénard convection (RBC) is a recurrent phenomenon in a number of industrial and geoscience flows and a well-studied system from a fundamental fluid-mechanics viewpoint. In the present work, we conduct numerical ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
We study deformation of algebras with coaction symmetry of reduced algebras of discrete groups, where the deformation parameter is givenby a continuous family of group 2-cocycles. When the group satisfies the Baum–Connes ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We study the SAM (Sharpness-Aware Minimization) optimizer which has recently attracted a lot of interest due to its increased performance over more classical variants of stochastic gradient descent. Our main contribution ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
We look at the Poisson structure on the total space of the dual bundle to the Lie algebroid arising from a matched pair of Lie groups. This dual bundle, with the natural semidirect product group structure, becomes a ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We present a sampling-free probabilistic inversion of latent target property based on the principles of expectation propagation where we estimate the joint distribution of the target variable in a local region. The prior ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
Abstract
The Covid-19 pandemic has required most countries to implement complex sequences of non-pharmaceutical interventions, with the aim of controlling the transmission of the virus in the population. To be ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
Innovative ways of harnessing sustainable energy are needed to meet the world’s ever-increasing energy demands. Supercapacitors may contribute, as they can convert waste heat to electricity through cyclic charging and ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
In this study, we present a formal defnition of the probabilistic digital twin (PDT). Digital twins are emerging in many industries, typically consisting of simulation models and data associated with a specifc physical ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We prove that any null-homotopic holomorphic map from a Stein space X to the symplectic group Sp4(C) can be written as a finite product of elementary symplectic matrices with holomorphic entries.
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Abstract
The tropical fundamental class of a rational balanced polyhedral fan induces cap products between tropical cohomology and tropical Borel–Moore homology. When all these cap products are isomorphisms, the ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
In this paper, we present a comprehensive survey of continuous stochastic volatility models, discussing their historical development and the key stylized facts that have driven the field. Special attention is dedicated to ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Circulating vitamin B12 concentrations during pregnancy are associated with offspring health. Foetal DNA methylation changes could underlie these associations. Within the Pregnancy And Childhood Epigenetics Consortium, we ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Data simulation is fundamental for machine learning and causal inference, as it allows exploration of scenarios and assessment of methods in settings with full control of ground truth. Directed acyclic graphs (DAGs) are ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Abstract
We classify the singularities in the unframed Nakajima quiver varieties associated with extended Dynkin quivers and the corresponding minimal imaginary root with a small restriction on the parameters and ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Lithium-ion batteries are a prominent technology for the electrification of the transport sector, which itself is a key measure towards the departure from fossil fuels. The “green shift” is taking place in the marine ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
The glymphatic system is the subject of numerous pieces of research in biology. Mathematical modelling plays a considerable role in this field since it can indicate the possible physical effects of this system and validate ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We develop an approach for two-player constraint zero-sum and nonzero-sum stochastic differential games, which are modeled by Markov regime-switching jump-diffusion processes. We provide the relations between a usual ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Internal solitary waves (ISWs) of large amplitude moving in the coastal ocean induce sizeable horizontal velocities above the sea bed. In turn, these give rise to instability and vortex formation in the bottom boundary ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Abstract We formulate a hybridizable discontinuous Galerkin method for parabolic equations with non-linear tensor-valued coefficients and jump conditions (Henry’s law). The analysis of the proposed scheme indicates the ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
We prove a version of Pedersen’s outer conjugacy theorem for coactions of compact groups, which characterizes outer conjugate coactions of a compact group in terms of properties of the dual actions. In fact, we show that ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
In this paper, we construct consistent statistical estimators of the Hurst index, volatility coefficient, and drift parameter for Bessel processes driven by fractional Brownian motion with H<1/2. As an auxiliary result, ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
We prove cancellation theorems for reciprocity sheaves and cube-invariant modulus sheaves with transfers of Kahn–Miyazaki–Saito–Yamazaki. This generalizes a cancella- tion theorem for A1-invariant sheaves with transfers, ...
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)
Abstract In this paper we aim at generalizing the results of A. K. Zvonkin ( That removes the drift , 22 , 129, 41) and A. Y. Veretennikov ( Theory Probab. Appl. , 24 , 354, 39) on the construction of unique strong solutions ...
(Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2023)
(Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2023)