Blar i Institutt for matematiske fag på tittel
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Bayesian Calibration and Inference for Multiple Machines
(Master thesis, 2019)I denne oppgaven, blir simuleringsmodeller, også kalt simulatorer, brukt til utføre prediksjon på maskiner. En av utfordringene med å gjøre prediksjon med simuleringsmodeller, er at de ikke fullt beskriver den sanne prosessen ... -
Bayesian Calibration for Modelling the Cardiovascular System Using the Two Element Windkessel Model
(Master thesis, 2022)Denne oppgaven utforsker egenskapene til Windkessel-modellene basert på syntetiske simuleringsstudier, og er en del av det tverrfaglige prosjektet "My Medical Digital Twin" ved NTNU. Windkessel-modellene estimerer de globale ... -
Bayesian Calibration of Imperfect Computer Models using Physics-Informed Priors
(Peer reviewed; Journal article, 2023)We introduce a computational e_cient data-driven framework suitable for quantifying the uncertainty in physical parameters and model formulation of computer models, represented by di_erential equations. We construct ... -
Bayesian Computing with INLA: A Review
(Journal article; Peer reviewed, 2017)The key operation in Bayesian inference is to compute high-dimensional integrals. An old approximate technique is the Laplace method or approximation, which dates back to Pierre-Simon Laplace (1774). This simple idea ... -
Bayesian ensemble filtering for a model with categorical and continuous variables
(Master thesis, 2021)Det Bayesianske ensemble filteret er presentert i Loe og Tjelmeland (2021). Det er en generalisering av det tradisjonelle ensemble Kalmanfilteret (EnKF) og er en løsning på filtreringsproblemet i statistikk. Ensemble ... -
Bayesian Gaussian Inversion of Time-Lapse Seismic AVO Data
(Master thesis, 2017)The goal of this study is to characterize an oil reservoir along a depth profile at two different points in time, based on seismic AVO data gathered at these times. We apply Bayesian methodology to the inversion problem. ... -
Bayesian geostatistical two field models for combining data sources and exploiting short records: Applied to annual runoff interpolation in Norway
(Doctoral theses at NTNU;2020:268, Doctoral thesis, 2020) -
Bayesian Inference for Disease Mapping: Comparing INLA and MCMC
(Master thesis, 2016)Using maps to illustrate the distribution of a particular disease in geographical regions of interest is disease mapping. Disease mapping data falls within the framework of hierarchical model with counts in regions which ... -
Bayesian inference for Markov mesh models – applied to inversion of seismic data
(Doctoral theses at NTNU;2019:16, Doctoral thesis, 2018)To characterize a petroleum reservoir there are different types of data available, for example, seismic data and observations in wells. In this scenario, it is natural to adopt a Bayesian framework to incorporate observations ... -
Bayesian Inversion and Inference of Categorical Markov Models with Likelihood Functions Including Dependence and Convolution
(Master thesis, 2015)A convolutional two-level Markov model is studied in this thesis. The bottom level contains a latent Markov chain, and given the variables, the middle contains a latent Gaussian random field. We observe the second level ... -
Bayesian Inversion of Convolved Hidden Markov Models With Applications in Reservoir Prediction
(Peer reviewed; Journal article, 2019)The efficient assessment of convolved hidden Markov models is discussed. The bottom layer is defined as an unobservable categorical first-order Markov chain, whereas the middle layer is assumed to be a Gaussian spatial ... -
Bayesian inversion of seismic data using multimodal selection Gaussian prior models
(Doctoral theses at NTNU;2021:395, Doctoral thesis, 2021) -
Bayesian Inversion of Time-Lapse Seismic AVO Data for Multimodal Reservoir Properties
(Peer reviewed; Journal article, 2021)We consider time-lapse seismic amplitude versus offset (AVO) inversion for the reservoir properties porosity and water saturation, with a focus on monitoring the evolution of water saturation in a dynamic setting of ongoing ... -
Bayesian Inversion of Time-lapse Seismic Data using Bimodal Prior Models
(Master thesis, 2014)The objective of the current study is to make inference about reservoir properties from seismic reflection data. The inversion problem is cast in a Bayesian framework, and we compare and contrast three prior model settings; ... -
Bayesian Inversion of Well Log Data into Facies Units based on a Spatially Coupled Model
(Master thesis, 2006)Through a study of cored wells from the Statfjord Formation in the Tampen Area, we derive a spatially coupled classification model for facies units. We consider a Bayesian framework for the problem. A likelihood model is ... -
Bayesian Meta-analysis
(Doctoral theses at NTNU;2016:342, Doctoral thesis, 2016) -
Bayesian Model Averaging for Wind Speed Ensemble Forecasts Using Wind Speed and Direction
(Journal article; Peer reviewed, 2017)In this paper, probabilistic wind speed forecasts are constructed based on ensemble numerical weather prediction (NWP) forecasts for both wind speed and wind direction. Including other NWP variables in addition to the one ... -
Bayesian Model Averaging Using Varying Coefficient Regression and Climatology Cumulative Probability Regression - A Case Study of Postprocessing Hydrological Ensembles from Osali
(Master thesis, 2017)Bayesian Model Averaging Using Varying Coefficient Regression and Climatology Cumulative Probability Regression. -
Bayesian Mortality Modeling with Linearized Integrated Nested Laplace Approximations
(Master thesis, 2022)Prediksjon av dødelighet er et viktig verktøy innen for eksempel aktuarviten- skap og demografi. Mange populære dødelighetsmodeller inneholder multiplikative ledd som gjør at de ikke inkluderes i gruppen av modeller der ... -
Bayesian multiresolution modeling of georeferenced data: An extension of ‘LatticeKrig’
(Peer reviewed; Journal article, 2022)‘LatticeKrig’ (LK) is a spatial model that is often used for modeling multiresolution spatial data with flexible covariance structures. An extension to LK under a Bayesian framework is proposed that uses integrated nested ...