Institutt for matematiske fag
Recent Submissions
-
Analysis of a university student's construction of a praxeology for integration tasks
(Peer reviewed; Journal article, 2024)This study utilizes the model of didactic moments from the Anthropological Theory of the Didactic to examine a university student’s praxeological work pertaining to a set of four integration tasks. The research focuses on ... -
Integrating data from different taxonomic resolutions to better estimate community alpha diversity
(Peer reviewed; Journal article, 2024)Integrated distribution models (IDMs), in which datasets with different properties are analysed together, are becoming widely used to model species distributions and abundance in space and time. To date, the IDM literature ... -
makemyprior: Intuitive Construction of Joint Priors for Variance Parameters in R
(Peer reviewed; Journal article, 2024)Priors allow us to robustify inference and to incorporate expert knowledge in Bayesian hierarchical models. This is particularly important when there are random effects that are hard to identify based on observed data. The ... -
Uncovering 2-D toroidal representations in grid cell ensemble activity during 1-D behavior
(Peer reviewed; Journal article, 2024)Minimal experiments, such as head-fixed wheel-running and sleep, offer experimental advantages but restrict the amount of observable behavior, making it difficult to classify functional cell types. Arguably, the grid cell, ... -
Upper bounds on chromatic number of En in low dimensions
(Peer reviewed; Journal article, 2024)Let χ(En) denote the chromatic number of the Euclidean space En, i.e., the smallest number of colors that can be used to color En so that no two points unit distance apart are of the same color. We present explicit ... -
Grid codes vs. multi-scale, multi-field place codes for space
(Peer reviewed; Journal article, 2024)Introduction: Recent work on bats flying over long distances has revealed that single hippocampal cells have multiple place fields of different sizes. At the network level, a multi-scale, multi-field place cell code ... -
Efficiency of SIDH-based signatures (yes, SIDH)
(Peer reviewed; Journal article, 2024)In this note, we assess the efficiency of a supersingular isogeny Diffie-Hellman (SIDH)-based digital signature built on a weaker variant of a recent identification protocol proposed by Basso et al. Despite the devastating ... -
On Gaussian decay rates of harmonic oscillators and equivalences of related Fourier uncertainty principles
(Peer reviewed; Journal article, 2024)We make progress on a question posed by Vemuri on the optimal Gaussian decay of harmonic oscillators, proving the original conjecture up to an arithmetic progression of times. The techniques used are a suitable translation ... -
Predicting niche overlap with model-based ordination
(Peer reviewed; Journal article, 2024)The ecological niche is a fundamental concept in ecology that can be used in order better understand species relationships. The overlap in species niches provides a measure of the likelihood for species to co-occur. Most ... -
Spatio-temporal occupancy models with INLA
(Peer reviewed; Journal article, 2024)1. Modern methods for quantifying, predicting and mapping species distributions have played a crucial part in biodiversity conservation. Occupancy models have become a popular choice for analysing species occurrence data ... -
A comparison of joint species distribution models for percent cover data
(Peer reviewed; Journal article, 2024)1. Joint species distribution models (JSDMs) have gained considerable traction among ecologists over the past decade, due to their capacity to answer a wide range of questions at both the species- and the community-level. ... -
The Riemannnian LTMADS to solve the Spectral Procrustes problem in Manopt.jl
(Master thesis, 2025)Prokrustes problemet, som søker en optimal ortogonal transformasjon mellom to matriser, har ulike anvendelser innen matematikk. Forskning har i stor grad fokusert på det ortogonale Prokrustes- problemet, der målfunksjonen ... -
On the Frame Property of Hermite Functions and Exploration of their Frame Sets
(Peer reviewed; Journal article, 2025)We study Gabor frames with Hermite window functions. Gröchenig and Lyubarskii provided a sufficient density condition for their frame sets, which leads to what we call the “safety region". For rectangular lattices and ... -
Ungdomsskoleelevers matematiske kyndighet knyttet til likninger
(Master thesis, 2025)I denne studien har jeg intervjuet lærere for å få et innblikk i hvilke styrker og svakheter de opplever at ungdomsskoleelever har i arbeid med likninger. Jeg har i tillegg spurt lærerne om hvilke strategier de bruker i ... -
Towards Universel TIme Series Modeling: Deep Generative Modelling and Self-Supervised Learning for TIme Series and Beyond
(Doctoral theses at NTNU;2025:157, Doctoral thesis, 2025)Time series data are found in many parts of our daily lives and across various industries. These data are crucial for important tasks such as time series classification, clustering, generation, anomaly detection, imputation, ... -
Advances and Applications of Integrated Species Distribution Models in Large-Scale Ecological Analyses
(Doctoral theses at NTNU;2025:148, Doctoral thesis, 2025)The data revolution of the 21st century has provided statistical ecologists with a wealth of data, required to estimate species distribution models. While these data are certainly necessary in estimating large-scale models, ... -
On a two-scale phasefield model for topology optimization
(Journal article; Peer reviewed, 2024)In this article, we consider a gradient flow stemming from a problem in two-scale topology optimization. We use the phase-field method, where a Ginzburg–Landau term with obstacle potential is added to the cost functional, ... -
Local area cooling versus broad area cooling for boil-off reduction in large-scale liquid hydrogen storage tanks
(Peer reviewed; Journal article, 2025)Future use of liquid hydrogen (Image 1 ) as an effective energy carrier will require elimination or minimization of hydrogen boil-off that is not utilized by demands in the value chain. The present work promotes local area ... -
Numerical methods and convergence rates for the Hunter-Saxton equation
(Doctoral theses at NTNU;2025:147, Doctoral thesis, 2025) -
Critical Exponents of the Riesz Projection
(Peer reviewed; Journal article, 2024)
RSS 2.0