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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

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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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Uncertainty in Measurement: Accuracy and Precision03:37

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Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value. 
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Interpretation of Confidence Intervals01:19

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A confidence interval is a better estimate of the population than a point estimate, as it uses a range of values from a sample instead of a single value.
Confidence intervals have confidence coefficients that are crucial for their interpretation. The most common confidence coefficients are 0.90, 0.95, and 0.99, which can be written as percentages–90%, 95%, and 99%, respectively.
Suppose a person calculates a confidence interval with a confidence coefficient of 0.95. In that case, they can...
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Quantification of Information Encoded by Gene Expression Levels During Lifespan Modulation Under Broad-range Dietary Restriction in C. elegans
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Simple Yet Effective: An Information-Theoretic Approach to Multi-LLM Uncertainty Quantification.

Maya Kruse1, Majid Afshar2, Saksham Khatwani1,3

  • 1University of Colorado Anschutz Medical Campus.

Proceedings of the Conference on Empirical Methods in Natural Language Processing. Conference on Empirical Methods in Natural Language Processing
|December 16, 2025
PubMed
Summary

This study introduces MUSE, a method using multiple large language models (LLMs) to improve uncertainty estimation. By aggregating diverse LLM outputs, MUSE enhances prediction reliability in critical applications.

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Area of Science:

  • Artificial Intelligence
  • Natural Language Processing
  • Machine Learning

Background:

  • Large language models (LLMs) exhibit input-dependent inconsistencies, highlighting the need for robust uncertainty quantification.
  • Existing methods often focus on single models, neglecting the potential benefits of leveraging model diversity for improved reliability.

Purpose of the Study:

  • To propose and evaluate MUSE (Multi-LLM Uncertainty via Subset Ensembles), a novel approach for quantifying LLM uncertainty by exploiting model diversity.
  • To demonstrate that aggregating outputs from diverse LLMs yields more reliable uncertainty estimates compared to individual models.

Main Methods:

  • MUSE employs an information-theoretic approach, specifically Jensen-Shannon Divergence, to identify and aggregate well-calibrated subsets of LLMs.
  • The method leverages hypothesized complementary predictions from LLMs due to variations in training data and the Zipfian nature of language.

Main Results:

  • Experiments on binary prediction tasks show that MUSE significantly improves calibration and predictive performance over single-model and basic ensemble approaches.
  • The study validates the hypothesis that diverse LLM outputs, when aggregated effectively, lead to superior uncertainty quantification.

Conclusions:

  • MUSE offers an effective strategy for enhancing the reliability and calibration of large language models, particularly in high-stakes scenarios.
  • The proposed method provides a foundation for further research into ensemble techniques for uncertainty quantification in AI systems.