Uncertainty quantification of diffusion maps

Hadi Meidani, Roger Ghanem

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Nonlinear dimensionality reduction is a critical procedure in data-driven analyses, where data lives in a high-dimensional space and thus imposes high computational costs. Diffusion Maps, as a newer reduction technique, has been successfully applied to various problems. In this paper, we discuss a probabilistic approach to address the errors accrued in the application of Diffusion Maps. We demonstrate how these errors originate in the reduction process and also discuss their implication on the reduced representation. Numerical results from standard examples are included.

Original languageEnglish (US)
Title of host publicationSafety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013
Pages845-848
Number of pages4
StatePublished - Dec 1 2013
Externally publishedYes
Event11th International Conference on Structural Safety and Reliability, ICOSSAR 2013 - New York, NY, United States
Duration: Jun 16 2013Jun 20 2013

Publication series

NameSafety, Reliability, Risk and Life-Cycle Performance of Structures and Infrastructures - Proceedings of the 11th International Conference on Structural Safety and Reliability, ICOSSAR 2013

Other

Other11th International Conference on Structural Safety and Reliability, ICOSSAR 2013
CountryUnited States
CityNew York, NY
Period6/16/136/20/13

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Safety, Risk, Reliability and Quality

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