Blar i Institutt for matematiske fag på tittel
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Neural networks in Fréchet spaces
(Peer reviewed; Journal article, 2022)We propose a neural network architecture in infinite dimensional spaces for which we can show the universal approximation property. Indeed, we derive approximation results for continuous functions from a Fréchet space X ... -
Neural Networks on Low-Rank and Stiefel Manifolds
(Master thesis, 2022)I denne oppgaven ser vi på effekten av dyp læring som optimal kontroll på mangfoldigheter. Vi utvikler og trener flere nettverk som bevarer lav-rang og ortogonalitet i treningsprosessen. Bibetingelsen til optimal kontroll ... -
New development of sprayed concrete with improved waterproofing, durability and sustainability performance
(Chapter, 2023)Sprayed concrete in combination with rock bolts is successfully being used for permanent rock support in tunnels. The main shortcoming is that sprayed concrete alone is unable to function as the permanent waterproofing ... -
New tests for trend in time censored recurrent event data
(Journal article; Peer reviewed, 2024)We consider testing for trend in recurrent event data. More precisely, for such data we consider testing of the null hypothesis of data coming from a renewal process. The new tests are essentially obtained by considering ... -
Newtons metode for komplekse polynomer: Hvordan finne røttene på en effektiv måte?
(Master thesis, 2010)Oppgaven omhandler bruk av Newtons metode på komplekse polynomer. Det gis et resultat som sier hvor mange startpunkter man trenger for å finne alle røttene til et polynom av grad d. Det gis også en øvre grense for hvor ... -
Next generation geophysical sensing: exploring a new wave of geophysical technologies for the energy transition
(Peer reviewed; Journal article, 2021) -
Next Generation Multiscale Methods for Reservoir Simulation
(Doctoral theses at NTNU;2016:374, Doctoral thesis, 2016)In this thesis, we discuss multiscale simulation techniques for flow and transport in porous media, discretized on unstructured grids. The model equations considered are taken from the field of reservoir simulation, where ... -
NIME Prototyping in Teams: A Participatory Approach to Teaching Physical Computing
(Chapter, 2019)In this paper, we present a workshop of physical computing applied to NIME design based on science, technology, engineering, arts, and mathematics (STEAM) education. The workshop is designed for master students with ... -
Nodal Geometry and Growth of Solutions to Elliptic Partial Differential Equations
(Doctoral theses at NTNU;2022:216, Doctoral thesis, 2022)In this thesis we will study zeros and growth properties of solutions to elliptic PDEs. In particular, we first study zeros of linear combination of Laplace-Beltrami eigenfunctions via a growth estimate for positive solutions ... -
Noise removal in synthetically generated diffusion tensor imaging data using a denoising autoencoder
(Bachelor thesis, 2020)Diffusjonstensor avbildning (DTI) er en populær medisinsk avbildningsteknikk som kartlegger diffusjonen av vannmolekyler i biologisk vev. Målte DTI-data er forurenset av støy, og temaet for dette prosjektet var å utforske ... -
Noise-driven bifurcations in a neural field system modelling networks of grid cells
(Peer reviewed; Journal article, 2022)The activity generated by an ensemble of neurons is affected by various noise sources. It is a well-recognised challenge to understand the effects of noise on the stability of such networks. We demonstrate that the patterns ... -
Non-existence of Classical Solutions with Finite Energy to the Cauchy Problem of the Compressible Navier–Stokes Equations
(Journal article; Peer reviewed, 2018)The well-posedness of classical solutions with finite energy to the compressible Navier–Stokes equations (CNS) subject to arbitrarily large and smooth initial data is a challenging problem. In the case when the fluid density ... -
Non-Interactive Zero-Knowledge Proofs with Fine-Grained Security
(Peer reviewed; Journal article, 2022)We construct the first non-interactive zero-knowledge (NIZK) proof systems in the fine-grained setting where adversaries’ resources are bounded and honest users have no more resources than an adversary. More concretely, ... -
Non-linear Newton Solver for a Polymer Two-phase System Using Interface-localized Trust Regions
(Chapter, 2017)Models of polymer flooding account for several processes such as concentration dependent viscosity, adsorption, incomplete mixing, inaccessible pore space, and reduced permeability effects, which altogether gives strongly ... -
Non-parametric Regression in Machine Learning: A Comparison of the Probabilistic and Algorithmic Approach
(Bachelor thesis, 2022)Termen ikke-parametrisk regresjon omhandler et stort antall maskinlærings teknikker som spår fremtidige hendelser av naturlige prosesser ved å bruke funksjoner som er mer fleksible enn deres parametriske motparter. Man kan ... -
Non-uniform dependence on initial data for equations of Whitham type
(Journal article, 2019)We consider the Cauchy problem ∂tu + u∂xu + L(∂xu) = 0, u(0, x) = u0(x) for a class of Fourier multiplier operators L, and prove that the solution map u0 7→ u(t) is not uniformly continuous in Hs on the real line or on the ... -
Noncommutative Geometry in Wireless Communication Applications
(Master thesis, 2018)The theory of time-frequency analysis is introduced, and basic results on modulation spaces are proved. We describe Gabor frames and prove results which are relevant to application in wireless communication. We outline a ... -
Noncommutative Gröbner bases in Polly Cracker cryptosystems
(Master thesis, 2009)We present the noncommutative version of the Polly Cracker cryptosystem, which is more promising than the commutative version. This is partly because many of the ideals in a free (noncommutative) algebra have an infinite ... -
Nonhomogeneous Poisson process with nonparametric frailty and covariates
(Journal article; Peer reviewed, 2017)The nonhomogeneous Poisson process is commonly used in the modeling of failure times of complex repairable systems. In practice there may be a substantial heterogeneity in the failure behavior among apparently identical ... -
Nonlinear Acoustic Waves in Heterogeneous Materials
(Master thesis, 2015)This thesis concerns the partial differential equations governing acoustic wave propagation in heterogeneous materials. We start with an investigation of the standard Eulerian formulation of the equations, and point out ...