Statistically calibrating comparison metrics of star formation simulations.
department or school: Graduate Studies, College of (Okanagan)
data provider: DSpace
degree campus: UBCO
creator: Yeremi, Miayan
issued: 2013-08-01T21:21:35Z
issued: 2013
related degree: Master of Science - MSc
degree grantor: University of British Columbia
description: We have developed an experimentally designed statistical framework, which allows for observation and simulation position-position-velocity cubes to be compared in a systematic manner. The comparison between cubes can be performed using a multitude of metric measures, in particular we have used the following metrics: principal component analysis (PCA), spectral correlation function (SCF), Cramer, and maximum mean discrepancy (MMD). We ran a suite of carefully chosen simulations, and performed a simulation-to-simulation comparison to test the framework in a controlled environment. We have tested the effects of four physical parameters, Mach number, magnetic field, driving scale, and temperature. The developed framework extracted key physics from the optimally designed experiment. In addition, merits of the different measures were highlighted in a standardized manner. After all four metrics were analyzed, we have concluded that PCA, Cramer and MMD respond in a linear manner to changes in factor settings, where as SCF displayed signs of curvature. Furthermore, all four statistics picked out a consistent physical trend, predicting that Mach num- ber, temperature, and Mach-number-temperature interaction are significant dissimilarity drivers. Finally, we propose that this framework will be used in future work for the calibration of simulations to observational data.
aggregated CHO: https://circle.library.ubc.ca/rest/handle/2429/44799
note: Statistically Calibrating ComparisonMetrics of Star Formation SimulationsbyMiayan YeremiB.Sc., The University of British Columbia, 2011A THESIS SUBMITTED IN PARTIAL FULFILLMENT OFTHE REQUIREMENTS FOR THE DEGREE OFMASTER OF SCIENCEinThe Faculty of Graduate Studies(IGS)THE UNIVERSITY OF BRITISH COLUMBIA(Okanagan)July 2013c? Miayan Yeremi, 2013AbstractWe have developed an experimentally designed statistical framework,which allows for observation and simulation position-position-velocity cubesto be compared in a systematic manner. The comparison between cubescan be performed using a multitude of metric measures, in particular wehave used the following metrics: principal component analysis (PCA), spec-tral correlation function (SCF), Cramer, and maximum mean discrepancy(MMD). We ran a suite of carefully chosen simulations, and performed asimulation-to-simulation comparison to test the framework in a controlledenvironment. We have tested the effects of four physical parameters, Machnumber, magnetic field, driving scale, and temperature. The developedframework extracted key physics from the optimally designed experiment.In addition, merits of the different measures were highlighted in a standard-ized manner. After all four metrics were analyzed, we have concluded thatPCA, Cramer and MMD respond in a linear manner to changes in factorsettings, where as SCF displayed signs of curvature. Furthermore, all fourstatistics picked out a consistent physical trend, predicting that Mach num-ber, temperature, and Mach-number-temperature interaction are significantdissimilarity drivers. Finally, we propose that this framework will be usedin future work for the calibration of simulations to observational data.iiTable of ContentsAbstract . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . iiTable of Contents . . . . . . . . . . . . . . . . . . . . . . . . . . . iiiList of Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . vList of Figures . . . . . . . . . . . .…
has type: Thesis/Dissertation
date issued: 2013-11
is shown at: 10.14288/1.0074063
language: eng
degree discipline: Interdisciplinary Studies
provider: Vancouver : University of British Columbia Library
publisher: University of British Columbia
rights: Attribution-NonCommercial-NoDerivatives 4.0 International
rights URI: http://creativecommons.org/licenses/by-nc-nd/4.0/
scholar level: Graduate
type: Text
identifier URI: http://hdl.handle.net/2429/44799