Sökning: "Markov Chain Monte Carlo MCMC"

Visar resultat 1 - 5 av 24 uppsatser innehållade orden Markov Chain Monte Carlo MCMC.

  1. 1. Simuleringsdriven inferens av stokastiska dynamiska system

    Kandidat-uppsats, Göteborgs universitet/Institutionen för matematiska vetenskaper

    Författare :Alfred Andersson; Vilgot Jansson; Noah Trädgårdh; Jacob Welander; Victor Wellsmo; [2023-11-28]
    Nyckelord :;

    Sammanfattning : Stokastiska modeller, som ger tillförlitlig och användbar information om ett systems beteende, består ofta av stokastiska differentialekvationer (SDE) vars likelihoodfunktion inte är analytiskt tillgänglig. Mer traditionella Markov Chain Monte Carlo-metoder (MCMC) samt relativt nyligen utvecklade likelihood-fria Approximate Bayesian Computation-metoder (ABC) utgör populära angrepssätt för att utföra inferens på dessa typer av problem. LÄS MER

  2. 2. Branching Out with Mixtures: Phylogenetic Inference That’s Not Afraid of a Little Uncertainty

    Master-uppsats, KTH/Matematisk statistik

    Författare :Ricky Molén; [2023]
    Nyckelord :Phylogeny; Bayesian analysis; Markov chain Monte Carlo; Variational inference; Mixture of proposal distributions; Fylogeni; Bayesiansk analys; Markov Chain Monte Carlo; Variationsinferens; Mixturer av förslagsfördelningar;

    Sammanfattning : Phylogeny, the study of evolutionary relationships among species and other taxa, plays a crucial role in understanding the history of life. Bayesian analysis using Markov chain Monte Carlo (MCMC) is a widely used approach for inferring phylogenetic trees, but it suffers from slow convergence in higher dimensions and is slow to converge. LÄS MER

  3. 3. Optimization and Bayesian Modeling of Road Distance for Inventory of Potholes in Gävle Municipality

    Kandidat-uppsats, Stockholms universitet/Statistiska institutionen

    Författare :Timothy Rafael Lindblom; Oskar Tollin; [2022]
    Nyckelord :Traveling salesman problem; Bayesian inference; Simulated annealing; Nearest neighbour algorithm; Markov Chain Monte Carlo; MCMC; Potholes; Haversine formula; Metropolis-Hastings; Posterior predictive distribution; Handelsresande problemet; bayesiansk inferens; simulerad anlöpning; nearest neighbour algorithm; Markov Chain Monte Carlo; MCMC; potthål; storcirkelavstånd; Metropolis-Hastings; posterior predictive distribution;

    Sammanfattning : Time management and distance evaluation have long been a difficult task for workers and companies. This thesis studies 6712 pothole coordinates in Gävle municipality, and evaluates the minimal total road distance needed to visit each pothole once, and return to an initial pothole. LÄS MER

  4. 4. Spatial Statistical Modelling of Insurance Claim Frequency

    Master-uppsats, Lunds universitet/Matematisk statistik

    Författare :Daniel Faller; [2022]
    Nyckelord :Insurance risk; claim frequency; Markov chain Monte Carlo MCMC ; Riemann manifold Metropolis adjusted Langevin algorithm MMALA ; spatial statistics; Gaussian Markov random field GMRF ; preconditioned Crank Nicolson Langevin algorithm pCNL ; Gibbs sampling; Bayesian hierarchical modelling; high dimensional; shrinkage prior; horseshoe prior; regularisation.; Mathematics and Statistics;

    Sammanfattning : In this thesis a fully Bayesian hierarchical model that estimates the number of aggregated insurance claims per year for non-life insurances is constructed using Markov chain Monte Carlo based inference with Riemannian Langevin diffusion. Some versions of the model incorporate a spatial effect, viewed as the relative spatial insurance risk that originates from a policyholder's geographical location and where the relative spatial insurance risk is modelled as a continuous spatial field. LÄS MER

  5. 5. Markov Chain Monte Carlo (MCMC) and Bayesian Inference for Gravitational Waves

    Kandidat-uppsats, Lunds universitet/Astronomi - Genomgår omorganisation

    Författare :Christine Andersson; [2021]
    Nyckelord :Gravitational Waves; LISA; LISA mission; Bayesian Inference; Markov Chain Monte Carlo; MCMC; Bayes’ Theorem; stochastic sampling; Metropolis Hastings; histograms; Physics and Astronomy;

    Sammanfattning : The Laser Interferometer Space Antenna (LISA) is a space borne gravitational wave detec- tor set to launch in 2034, with the objective of detecting and studying the Gravitational Waves (GWs) of our universe. So far, ground-based detectors such as the Laser Interferometer Gravitational-Wave Observatory (LIGO) have been successful in detecting GWs, but the limitations of ground based detectors is what makes LISA so special. LÄS MER