Challenge #10 Uncertainty Quantification

RETURN TO: Grouped Challenge: Models to Predict and Test Outcomes

 

Challenge #10:  Predictive multiscale models that strongly incorporate Uncertainty Quantification

Uncertainty Quantification – What has been accomplished?

  • Parameter uncertainty is addressable.
  • UQ in perspective - Role of Models:
    1. First, as a way to capture and communicate knowledge (Standardization important)
    2. Second, as a tool for understanding processes, building intuition, and education. (Standardization and UQ important)
    3. Third, to predict experimental observables. (UQ important)

 

How have UQ methodologies impacted each field?

  • Now that quantifying parameter uncertainty is getting easier, beginning to think about model structural uncertainty, intrinsic stochasticity, possible incomplete or inaccurate data sets.
    • Clinical Impact?
    • Antecdotal cases in which model/experiment forced reevaluation of data analysis?
    • How do we use qualitative or semi-quantitative data in UQ?
  • Have new theories resulted from this work to improve the understanding of the problems in the field?
    • Emerging
      • Physics-Informed Deep Learning, Karniadakis, et al.
      • Inferring solutions of differential equations using noisy multi-fidelity data, Karniadakis, et al.
      • Distilling the logic of behavioral dynamics using automated inference, Nemenman, et al.

 

UQ: What still needs to be done?

  • Are there methods from other fields that should be applied to your field?
    • Uncertain or semi-quantitative data: greater use/recognition of non-parametric methods in uncertainty quantitation, particularly when comparing noisy (uncertain) data to models and simulations.
    • Stochastic data: Distribution tests for comparing data from stochastic experimental processes to simulations. E.g., Kolmogrov-Smirnov statistic.
      • Neither stochastic data or uncertain data is well supported with UQ and optimization tools at the moment and we don’t have a formal way to describe them or capture this kind of observation.
    • Incompleteness/Uncertainty in models: Combined forward and inverse modeling
    • General methods to compare models with different structures (incorporating different sets of mechanisms).
    • Methods to compare experiment and simulation when the data have structure that changes with space and time rather than a concentration/count time series forms (e.g., generation of metastases in an animal or SPIM images of a developing zebrafish embyro)? How do we determine goodness of fit with an experimental movie (especially if both are stochastic)? Are there any generic approaches that can help with this?
  • What further connections need to be made to address unmet needs?
  • What questions do you want to pose to the MSM Consortium related to these challenges?

2018 IMAG Futures Meeting_UQ4.pptx

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