Blar i Institutt for matematiske fag på tittel
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Support varieties for finite tensor categories: Complexity, realization, and connectedness
(Journal article; Peer reviewed, 2021)We advance support variety theory for finite tensor categories. First we show that the dimension of the support variety of an object equals the rate of growth of a minimal projective resolution as measured by the ... -
Support varieties—an axiomatic approach
(Journal article; Peer reviewed, 2019)We provide an axiomatic approach for studying support varieties of objects in a triangulated category via the action of a tensor triangulated category, where the tensor product is not necessarily symmetric. This is illustrated ... -
Support Vector Machines on Riemannian Manifolds
(Master thesis, 2022)Støttevektormaskiner er nyttige verktøy brukt til binærklassifikasjon av datasett på Hilbertrom. I noen applikasjoner derimot, slik som å klassifisere hippocampuser til mennesker med schizofreni eller separare hjernesignaler ... -
Surface wave predictions in weakly nonlinear directional seas
(Journal article; Peer reviewed, 2017)We have employed laboratory and numerical experiments in order to investigate propagation of waves in both long and short-crested wave fields in deep water. For long-crested waves with steepness, ϵ = kcac = 0.1 (a fairly ... -
Surfaces moving by Mean Curvature.
(Master thesis, 2016)We use a level-set method to describe surfaces moving by mean curvature. The interesting partial differential equation $u_t=|\nabla u| \text{div}\left(\frac{\nabla u}{|\nabla u|}\right)$ arises. In this thesis, we prove ... -
Surrogatbasert optimering ved bruk av kunstige nevrale nettverk - Identifikasjon av lønnsomme O&M strategier for offshore vindfarmer gjennom stokastiske simuleringer
(Master thesis, 2016)Kostnader tilknyttet drift- og vedlikeholdsoperasjoner utgjør en stor andel av kostnadene for offshore vindparker. Reduksjon av slike kostnader er essensielt for å gjøre energikilden mer konkurransedyktig. Strategier for ... -
Survey of numerical methods for the Korteweg de Vries equation.
(Master thesis, 2009)Numerical methods for solving The Korteweg-de Vries (KdV) equation are studied. Four main classes of numerical methods were implemented and tested; a semi-discretized finite difference method, an iterating finite difference ... -
Survival Analysis with Deep Recurrent Neural Network Model for Prediction of Credit Card Defaults
(Master thesis, 2021)I denne oppgaven brukes en dyp nevral nettverksmodell kombinert med konsepter fra levetidsanalyse på sekvensielle kredittkortdata med det formål å predikere tid til mislighold for kredittkortkunder. Personlige økonomiske ... -
Sustainable strategies for harvesting predators and prey in a fluctuating environment
(Peer reviewed; Journal article, 2021)The effects of harvest and fluctuating environment on inter-dependent predators and prey are complex and not well-known. We define a stochastic model where the predators and prey dynamically interact. The novelty of the ... -
Symmetric solutions of evolutionary partial differential equations
(Journal article; Peer reviewed, 2017)We show that for a large class of evolutionary nonlinear and nonlocal partial differential equations, symmetry of solutions implies very restrictive properties of the solutions and symmetry axes. These restrictions are ... -
Symmetries and multipeakon solutions for the modified two-component Camassa-Holm system
(Chapter, 2018)Compared with the two-component Camassa–Holm system, the modified two-component Camassa–Holm system introduces a regularized density which makes possible the existence of solutions of lower regularity, and in particular ... -
Symmetry and decay of traveling wave solutions to the Whitham equation
(Journal article, 2017)This paper is concerned with decay and symmetry properties of solitary-wave solutions to a nonlocal shallow-water wave model. An exponential decay result for supercritical solitary-wave solutions is given. Moreover, it is ... -
Symplectic integration of PDEs using Clebsch variables
(Journal article, 2019)Many PDEs (Burgers' equation, KdV, Camassa-Holm, Euler's fluid equations, …) can be formulated as infinite-dimensional Lie-Poisson systems. These are Hamiltonian systems on manifolds equipped with Poisson brackets. The ... -
Szemerédi-Trotter-teoremet og dets anvendelser i forbindelsesgeometri
(Master thesis, 2021)Vi gir en innføring i utvalgte temaer innen additiv kombinatorikk. Vi presenterer Szemerédi-Trotter-teoremet med bevis og viser hvordan dette sentrale verktøyet fra forbindelsesgeometrien kan brukes til å løse problemer ... -
T-Koszul algebras, resolutions and derived equivalences of endomorphism rings
(Doktoravhandlinger ved NTNU, 1503-8181; 2011:56, Doctoral thesis, 2011) -
tabGAN: A Framework for Utilizing Tabular GAN for Data Synthesizing and Generation of Counterfactual Explanations
(Master thesis, 2022)Kontrafaktiske forklaringer er en metode for å forklare prediksjoner fra black-box modeller gjennom henvising til alternative lignende virkeligheter der et annet utfall skjer. Denne eksempel-baserte forklaringsmetoden er ... -
Target Depth Estimation Using Hull Mounted Active Sonar
(Master thesis, 2014)High false alarm rates are a problem in anti-submarine warfare in littoral waters using active broadband sonar. Automatic classification algorithms may help combat this problem by filtering out detections due to non-threatening ... -
Tau-exceptional sequences
(Journal article; Peer reviewed, 2021)We introduce the notions of τ-exceptional and signed τ-exceptional sequences for any finite dimensional algebra. We prove that for a fixed algebra of rank n, and for any positive integer , there is a bijection between ... -
Tau-tilting Theory in Representation Theory of Finite Dimensional Algebras
(Master thesis, 2016)Tau-tilting theory was recently introduced by Adachi, Iyama and Reiten. Their main aim was to develop a generalization of classical tilting theory where mutation is always possible. The inspiration for this came mainly ... -
Tau-tilting Theory in Representation Theory of Finite Dimensional Algebras
(Master thesis, 2016)Tau-tilting theory was recently introduced by Adachi, Iyama and Reiten. Their main aim was to develop a generalization of classical tilting theory where mutation is always possible. The inspiration for this came mainly ...