A Gentle Introduction to Uncertainty Quantification

By Ilias Bilionis

Mechanical Engineering, Purdue University, West Lafayette, IN

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Researchers should cite this work as follows:

  • Ilias Bilionis (2016), "A Gentle Introduction to Uncertainty Quantification," http://nanohub.org/resources/24853.

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Discovery Learning Center, Room 228C, Purdue University, West Lafayette, IN

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A Gentle Introduction to Uncertainty Quantification
  • A Gentle Introduction to Uncertainty Quantification 1. A Gentle Introduction to Uncer… 0
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  • Objectives 2. Objectives 86.353019686353022
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  • Where is UQ needed? Building reliability 3. Where is UQ needed? Building r… 245.01167834501169
    00:00/00:00
  • Where is UQ needed? Stock/bond portfolio allocation 4. Where is UQ needed? Stock/bond… 324.59125792459128
    00:00/00:00
  • Where is UQ needed? Oil reservoir operation 5. Where is UQ needed? Oil reserv… 390.45712379045716
    00:00/00:00
  • Where is UQ needed? Prediction of extreme weather 6. Where is UQ needed? Prediction… 518.71871871871872
    00:00/00:00
  • What is Uncertainty Quantification? 7. What is Uncertainty Quantifica… 677.27727727727734
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  • What is Uncertainty Quantification? 8. What is Uncertainty Quantifica… 813.58024691358025
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  • Formal Definition of Uncertainty Quantification 9. Formal Definition of Uncertain… 971.30463797130471
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  • In plain words… 10. In plain words… 979.27927927927931
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  • Errors & Uncertainties 11. Errors & Uncertainties 1047.0804137470805
    00:00/00:00
  • Aleatory vs Epistemic Uncertainty 12. Aleatory vs Epistemic Uncertai… 1205.8391725058393
    00:00/00:00
  • Aleatory Uncertainty Example: Cosmic Microwave Background 13. Aleatory Uncertainty Example: … 1291.4247580914248
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  • Aleatory Uncertainty Example: Double Slit Experiment 14. Aleatory Uncertainty Example: … 1385.2852852852852
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  • Aleatory Uncertainty Example: Turbulence 15. Aleatory Uncertainty Example: … 1458.8922255588923
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  • How to deal with aleatory uncertainty? 16. How to deal with aleatory unce… 1474.1074407741075
    00:00/00:00
  • Epistemic Uncertainty Example: Ground Contamination from Fracking 17. Epistemic Uncertainty Example:… 1533.0663997330664
    00:00/00:00
  • Epistemic Uncertainty Example: Microstructure of a Specific Object 18. Epistemic Uncertainty Example:… 1613.6803470136804
    00:00/00:00
  • Epistemic Uncertainty Example: Unknown Physical Law 19. Epistemic Uncertainty Example:… 1679.0123456790125
    00:00/00:00
  • How to deal with epistemic uncertainty? 20. How to deal with epistemic unc… 1822.3223223223224
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  • So, what is UQ? 21. So, what is UQ? 2011.7450784117452
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  • References 22. References 2125.7257257257256
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  • Example: Extremely Important Computer Code 23. Example: Extremely Important C… 2127.9279279279281
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  • Example: Extremely Important Computer Code 24. Example: Extremely Important C… 2267.2672672672675
    00:00/00:00
  • Example: Extremely Important Computer Code 25. Example: Extremely Important C… 2381.2479145812481
    00:00/00:00
  • Example: Extremely Important Computer Code 26. Example: Extremely Important C… 2400.4671338004673
    00:00/00:00