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Robust Statistical Methods for Model Selection and Land Cover Change Monitoring.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
Robust Statistical Methods for Model Selection and Land Cover Change Monitoring./
作者:
Wendelberger, Laura Jean.
面頁冊數:
1 online resource (131 pages)
附註:
Source: Dissertations Abstracts International, Volume: 84-04, Section: B.
Contained By:
Dissertations Abstracts International84-04B.
標題:
Remote sensing. -
電子資源:
http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=29342802click for full text (PQDT)
ISBN:
9798352601945
Robust Statistical Methods for Model Selection and Land Cover Change Monitoring.
Wendelberger, Laura Jean.
Robust Statistical Methods for Model Selection and Land Cover Change Monitoring.
- 1 online resource (131 pages)
Source: Dissertations Abstracts International, Volume: 84-04, Section: B.
Thesis (Ph.D.)--North Carolina State University, 2022.
Includes bibliographical references
Interpretable statistical models are valuable collaborative tools that make incorporating expert knowledge, gleaning insights from analyses, and iterating on hypotheses easier. Robust model selection should not be sensitive to a particular sample, and studying model ensembles instead of a single model mitigates the sometimes restrictive form of an interpretable model while acknowledging uncertainty about the exact form of the model. Bayesian methods are a natural setting to incorporate model uncertainty because they weight model contributions based on the data. In this dissertation, we explore robust methods for model selection and change detection using penalized regression and exact Bayesian models to acknowledge model uncertainty.In the first project, we consider model uncertainty in the context of model selection, which often aims to choose a single model, assuming that the form of the model is correct. However, there may be multiple possible underlying explanatory patterns in a set of predictors that could explain a response. Model selection without regard for model uncertainty can fail to bring these patterns to light. We explore multi-model penalized regression (MMPR) to acknowledge model uncertainty in the context of penalized regression. We examine how different penalty settings can promote either shrinkage or sparsity of coefficients in separate models. The method is tuned to explicitly limit model similarity. A choice of penalty form that enforces variable selection is applied to predict stacking fault energy (SFE) from steel alloy composition. The aim is to identify multiple models with different subsets of covariates that explain a single type of response.In the second and third projects, we consider near real time change detection in the context of Earth monitoring applications using remote sensing data. We introduce Robust Online Bayesian Monitoring (roboBayes), which extends Bayesian Online Changepoint Detection (BOCPD; Adams and MacKay, 2007) to be robust against occasional outliers without compromising the computational efficiency of an exact posterior change distribution nor the detection latency. Without this robustness feature, the change detection algorithm cannot be employed autonomously without an inflated false positive rate. We show via simulations that the method effectively detects change in the presence of outliers. The method is then applied to monitor deforestation in Myanmar where we show competitive performance compared to current online changepoint detection methods with fewer limitations on when it can be applied.In the third project, we propose MultiResolution roboBayes (MR roboBayes) to incorporate spatial information into image monitoring. Instead of analyzing pixel intensities, we propose representing images using multiresolution, spatially localized basis functions calculated by a Discrete Wavelet Transform (DWT; Mallat, 1989). We posit several ways to recombine change information from wavelet space into real space. MR roboBayes supplies an opportunity for computational speedup while still incorporating information from each pixel in different resolutions. We show via simulation that redundancy of detection in multiple components is useful for differentiating true from false detections. We demonstrate MR roboBayes for heavy construction detection in two different regions.
Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2023
Mode of access: World Wide Web
ISBN: 9798352601945Subjects--Topical Terms:
535394
Remote sensing.
Index Terms--Genre/Form:
542853
Electronic books.
Robust Statistical Methods for Model Selection and Land Cover Change Monitoring.
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Interpretable statistical models are valuable collaborative tools that make incorporating expert knowledge, gleaning insights from analyses, and iterating on hypotheses easier. Robust model selection should not be sensitive to a particular sample, and studying model ensembles instead of a single model mitigates the sometimes restrictive form of an interpretable model while acknowledging uncertainty about the exact form of the model. Bayesian methods are a natural setting to incorporate model uncertainty because they weight model contributions based on the data. In this dissertation, we explore robust methods for model selection and change detection using penalized regression and exact Bayesian models to acknowledge model uncertainty.In the first project, we consider model uncertainty in the context of model selection, which often aims to choose a single model, assuming that the form of the model is correct. However, there may be multiple possible underlying explanatory patterns in a set of predictors that could explain a response. Model selection without regard for model uncertainty can fail to bring these patterns to light. We explore multi-model penalized regression (MMPR) to acknowledge model uncertainty in the context of penalized regression. We examine how different penalty settings can promote either shrinkage or sparsity of coefficients in separate models. The method is tuned to explicitly limit model similarity. A choice of penalty form that enforces variable selection is applied to predict stacking fault energy (SFE) from steel alloy composition. The aim is to identify multiple models with different subsets of covariates that explain a single type of response.In the second and third projects, we consider near real time change detection in the context of Earth monitoring applications using remote sensing data. We introduce Robust Online Bayesian Monitoring (roboBayes), which extends Bayesian Online Changepoint Detection (BOCPD; Adams and MacKay, 2007) to be robust against occasional outliers without compromising the computational efficiency of an exact posterior change distribution nor the detection latency. Without this robustness feature, the change detection algorithm cannot be employed autonomously without an inflated false positive rate. We show via simulations that the method effectively detects change in the presence of outliers. The method is then applied to monitor deforestation in Myanmar where we show competitive performance compared to current online changepoint detection methods with fewer limitations on when it can be applied.In the third project, we propose MultiResolution roboBayes (MR roboBayes) to incorporate spatial information into image monitoring. Instead of analyzing pixel intensities, we propose representing images using multiresolution, spatially localized basis functions calculated by a Discrete Wavelet Transform (DWT; Mallat, 1989). We posit several ways to recombine change information from wavelet space into real space. MR roboBayes supplies an opportunity for computational speedup while still incorporating information from each pixel in different resolutions. We show via simulation that redundancy of detection in multiple components is useful for differentiating true from false detections. We demonstrate MR roboBayes for heavy construction detection in two different regions.
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