Prediction interval modeling using Gaussian process quantile regression

Thesis: S.M. in Engineering and Management, Massachusetts Institute of Technology, Engineering Systems Division, System Design and Management Program, 2014.

Bibliographic Details
Main Author: Aguilar Fargas, Joan
Other Authors: Moshe E. Ben-Akiva and Francisco C. Pereira.
Format: Thesis
Language:eng
Published: Massachusetts Institute of Technology 2015
Subjects:
Online Access:http://hdl.handle.net/1721.1/100361
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author Aguilar Fargas, Joan
author2 Moshe E. Ben-Akiva and Francisco C. Pereira.
author_facet Moshe E. Ben-Akiva and Francisco C. Pereira.
Aguilar Fargas, Joan
author_sort Aguilar Fargas, Joan
collection MIT
description Thesis: S.M. in Engineering and Management, Massachusetts Institute of Technology, Engineering Systems Division, System Design and Management Program, 2014.
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spelling mit-1721.1/1003612019-04-10T15:31:56Z Prediction interval modeling using Gaussian process quantile regression Aguilar Fargas, Joan Moshe E. Ben-Akiva and Francisco C. Pereira. System Design and Management Program. Massachusetts Institute of Technology. Engineering Systems Division. System Design and Management Program. Engineering Systems Division. System Design and Management Program. Thesis: S.M. in Engineering and Management, Massachusetts Institute of Technology, Engineering Systems Division, System Design and Management Program, 2014. Cataloged from PDF version of thesis. Includes bibliographical references (pages 62-65). In this thesis a methodology to construct prediction intervals for a generic black-box point forecast model is presented. The prediction intervals are learned from the forecasts of the black-box model and the actual realizations of the forecasted variable by using quantile regression on the observed prediction error distribution, the distribution of which is not assumed. An independent meta-model that runs in parallel to the original point forecast model is responsible for learning and generating the prediction intervals, thus requiring no modification to the original setup. This meta-model uses both the inputs and output of the black-box model and calculates a lower and an upper bound for each of its forecasts with the goal that a predefined percentage of future realizations are included in the interval formed by both bounds. Metrics for the performance of the meta-model are established, paying special attention to the conditional interval coverage with respect to both time and the inputs. A series of cases studies are performed to determine the capabilities of this approach and to compare it to standard practices. by Joan Aguilar Fargas. S.M. in Engineering and Management 2015-12-16T16:34:17Z 2015-12-16T16:34:17Z 2014 2014 Thesis http://hdl.handle.net/1721.1/100361 931527266 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 65 pages application/pdf Massachusetts Institute of Technology
spellingShingle Engineering Systems Division.
System Design and Management Program.
Aguilar Fargas, Joan
Prediction interval modeling using Gaussian process quantile regression
title Prediction interval modeling using Gaussian process quantile regression
title_full Prediction interval modeling using Gaussian process quantile regression
title_fullStr Prediction interval modeling using Gaussian process quantile regression
title_full_unstemmed Prediction interval modeling using Gaussian process quantile regression
title_short Prediction interval modeling using Gaussian process quantile regression
title_sort prediction interval modeling using gaussian process quantile regression
topic Engineering Systems Division.
System Design and Management Program.
url http://hdl.handle.net/1721.1/100361
work_keys_str_mv AT aguilarfargasjoan predictionintervalmodelingusinggaussianprocessquantileregression