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Related Concept Videos

Uncertainty: Overview00:59

Uncertainty: Overview

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In analytical chemistry, we often perform repetitive measurements to detect and minimize inaccuracies caused by both determinate and indeterminate errors. Despite the cares we take, the presence of random errors means that repeated measurements almost never have exactly the same magnitude. The collective difference between these measurements - observed values - and the estimated or expected value is called uncertainty. Uncertainty is conventionally written after the estimated or expected value.
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Propagation of Uncertainty from Random Error00:59

Propagation of Uncertainty from Random Error

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An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
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Propagation of Uncertainty from Systematic Error01:10

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The atomic mass of an element varies due to the relative ratio of its isotopes. A sample's relative proportion of oxygen isotopes influences its average atomic mass. For instance, if we were to measure the atomic mass of oxygen from a sample, the mass would be a weighted average of the isotopic masses of oxygen in that sample. Since a single sample is not likely to perfectly reflect the true atomic mass of oxygen for all the molecules of oxygen on Earth, the mass we obtain from this...
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Uncertainty: Confidence Intervals00:54

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The confidence interval is the range of values around the mean that contains the true mean. It is expressed as a probability percentage. The interpretation of a 95% confidence interval, for instance, is that the statistician is 95% confident that the true mean falls within the interval. The upper and lower limits of this range are known as confidence limits. The confidence limits for the true mean are estimated from the sample's mean, the standard deviation, and the statistical factor...
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Combustion Energy: A Measure of Stability in Alkanes and Cycloalkanes02:14

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The low reactivity in alkanes can be attributed to the non-polar nature of C–C and C–H σ bonds. Alkanes, therefore, were  initially termed as “paraffins,” derived from the Latin words: parum, meaning “too little,” and affinis, meaning “affinity.”
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On many occasions, physicists, other scientists, and engineers need to make estimates of a particular quantity. These are sometimes referred to as guesstimates, order-of-magnitude approximations, back-of-the-envelope calculations, or Fermi calculations. The physicist Enrico Fermi was famous for his ability to estimate various kinds of data with surprising precision. Estimating does not mean guessing a number or a formula at random. Instead, estimation means using prior experience and sound...
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Updated: Jun 4, 2025

Combustion Chemistry of Fuels: Quantitative Speciation Data Obtained from an Atmospheric High-temperature Flow Reactor with Coupled Molecular-beam Mass Spectrometer
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Uncertainty quantification in coupled wildfire-atmosphere simulations at scale.

Paul Schwerdtner1, Frederick Law1, Qing Wang2

  • 1Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, New York, NY 10012, USA.

PNAS Nexus
|December 23, 2024
PubMed
Summary
This summary is machine-generated.

Leveraging surrogate models trained on related data significantly accelerates wildfire simulations for better uncertainty quantification. This approach drastically reduces computational time and improves accuracy in predicting wildfire impacts.

Keywords:
multifidelity methodsneural networkssurrogate modelinguncertainty quantificationwildfire simulations

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Area of Science:

  • Computational science
  • Environmental modeling
  • Wildfire dynamics

Background:

  • Wildfire simulations are crucial for fire management and evacuation planning.
  • Quantifying uncertainties in high-fidelity wildfire models is computationally expensive.
  • Current methods struggle with the scale and intensity of modern wildfires.

Purpose of the Study:

  • To develop a scalable multifidelity approach for uncertainty quantification in wildfire simulations.
  • To demonstrate the effectiveness of surrogate models trained on related data.
  • To reduce the computational cost of wildfire uncertainty quantification.

Main Methods:

  • Utilized surrogate models trained on biased but correlated data.
  • Implemented multifidelity approaches combining surrogate and high-fidelity models.
  • Applied the method to large-scale wildfire simulations with billions of degrees of freedom.

Main Results:

  • Reduced training time for uncertainty quantification by several orders of magnitude (from 3 months to under 3 hours).
  • Achieved at least twice the accuracy in burned area prediction compared to high-fidelity simulations alone within a fixed budget.
  • Demonstrated the practicality of multifidelity uncertainty quantification for large-scale wildfire scenarios.

Conclusions:

  • Surrogate models trained on related data are effective for computationally expensive simulations.
  • Correlation, not bias, is key for accelerating uncertainty quantification in multifidelity approaches.
  • This method offers a scalable solution for wildfire simulation uncertainty and has broader applications in scientific computing.