High-Dimensional Density Estimation via SCA: An Example in the Modelling of Hurricane Tracks ✩
We present nonparametric techniques for constructing and verifying density estimates from high-dimensional data whose irregular dependence structure cannot be modelled by parametric multivariate distributions. A low-dimensional representation of the data is critical in such situations because of the...
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ftciteseerx:oai:CiteSeerX.psu:10.1.1.206.3179 2023-05-15T17:33:07+02:00 High-Dimensional Density Estimation via SCA: An Example in the Modelling of Hurricane Tracks ✩ Susan M. Buchman Ann B. Lee Chad M. Schafer The Pennsylvania State University CiteSeerX Archives 907 application/pdf http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.206.3179 http://www.stat.cmu.edu/%7Eannlee/0907.pdf en eng http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.206.3179 http://www.stat.cmu.edu/%7Eannlee/0907.pdf Metadata may be used without restrictions as long as the oai identifier remains attached to it. http://www.stat.cmu.edu/%7Eannlee/0907.pdf text ftciteseerx 2016-01-07T17:39:08Z We present nonparametric techniques for constructing and verifying density estimates from high-dimensional data whose irregular dependence structure cannot be modelled by parametric multivariate distributions. A low-dimensional representation of the data is critical in such situations because of the curse of dimensionality. Our proposed methodology consists of three main parts: (1) data reparameterization via dimensionality reduction, wherein the data are mapped into a space where standard techniques can be used for density estimation and simulation; (2) inverse mapping, in which simulated points are mapped back to the high-dimensional input space; and (3) verification, in which the quality of the estimate is assessed by comparing simulated samples with the observed data. These approaches are illustrated via an exploration of the spatial variability of tropical cyclones in the North Atlantic; each datum in this case is an entire hurricane trajectory. We conclude the paper with a discussion of extending the methods to model the relationship between TC variability and climatic variables. Key words: dimension reduction, nonparametric density estimation, application to physical sciences 1. Text North Atlantic Unknown |
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We present nonparametric techniques for constructing and verifying density estimates from high-dimensional data whose irregular dependence structure cannot be modelled by parametric multivariate distributions. A low-dimensional representation of the data is critical in such situations because of the curse of dimensionality. Our proposed methodology consists of three main parts: (1) data reparameterization via dimensionality reduction, wherein the data are mapped into a space where standard techniques can be used for density estimation and simulation; (2) inverse mapping, in which simulated points are mapped back to the high-dimensional input space; and (3) verification, in which the quality of the estimate is assessed by comparing simulated samples with the observed data. These approaches are illustrated via an exploration of the spatial variability of tropical cyclones in the North Atlantic; each datum in this case is an entire hurricane trajectory. We conclude the paper with a discussion of extending the methods to model the relationship between TC variability and climatic variables. Key words: dimension reduction, nonparametric density estimation, application to physical sciences 1. |
author2 |
The Pennsylvania State University CiteSeerX Archives |
format |
Text |
author |
Susan M. Buchman Ann B. Lee Chad M. Schafer |
spellingShingle |
Susan M. Buchman Ann B. Lee Chad M. Schafer High-Dimensional Density Estimation via SCA: An Example in the Modelling of Hurricane Tracks ✩ |
author_facet |
Susan M. Buchman Ann B. Lee Chad M. Schafer |
author_sort |
Susan M. Buchman |
title |
High-Dimensional Density Estimation via SCA: An Example in the Modelling of Hurricane Tracks ✩ |
title_short |
High-Dimensional Density Estimation via SCA: An Example in the Modelling of Hurricane Tracks ✩ |
title_full |
High-Dimensional Density Estimation via SCA: An Example in the Modelling of Hurricane Tracks ✩ |
title_fullStr |
High-Dimensional Density Estimation via SCA: An Example in the Modelling of Hurricane Tracks ✩ |
title_full_unstemmed |
High-Dimensional Density Estimation via SCA: An Example in the Modelling of Hurricane Tracks ✩ |
title_sort |
high-dimensional density estimation via sca: an example in the modelling of hurricane tracks ✩ |
publishDate |
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url |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.206.3179 http://www.stat.cmu.edu/%7Eannlee/0907.pdf |
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North Atlantic |
genre_facet |
North Atlantic |
op_source |
http://www.stat.cmu.edu/%7Eannlee/0907.pdf |
op_relation |
http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.206.3179 http://www.stat.cmu.edu/%7Eannlee/0907.pdf |
op_rights |
Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
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1766131504812916736 |