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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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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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Random Error01:04

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Random or indeterminate errors originate from various uncontrollable variables, such as variations in environmental conditions, instrument imperfections, or the inherent variability of the phenomena being measured. Usually, these errors cannot be predicted, estimated, or characterized because their direction and magnitude often vary in magnitude and direction even during consecutive measurements. As a result, they are difficult to eliminate. However, the aggregate effect of these errors can be...
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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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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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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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Estimation of Contact Regions Between Hands and Objects During Human Multi-Digit Grasping
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Uncertainty Estimation for Heatmap-Based Landmark Localization.

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    Quantile Binning quantifies uncertainty in deep learning anatomical landmark localization. This method filters erroneous predictions, improving accuracy and clinical adoption for medical imaging analysis.

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    Area of Science:

    • Medical Imaging
    • Machine Learning
    • Computer Vision

    Background:

    • Deep learning advances automatic anatomical landmark localization.
    • Quantifying prediction uncertainty is crucial for clinical adoption and error detection.

    Purpose of the Study:

    • To introduce Quantile Binning, a data-driven method for categorizing predictions by uncertainty with error bounds.
    • To enable comparison of different uncertainty measures and improve prediction reliability.

    Main Methods:

    • Developed Quantile Binning to categorize predictions based on continuous uncertainty measures.
    • Evaluated three epistemic uncertainty measures using U-Net and patch-based models.
    • Tested on three datasets, including a public Cephalometric dataset.

    Main Results:

    • Filtering gross mispredictions using Quantile Bins significantly improves the proportion of accurate predictions.
    • Quantile Binning effectively handles landmarks with high aleatoric uncertainty due to ambiguity.
    • Demonstrated improved prediction accuracy by identifying and excluding uncertain localizations.

    Conclusions:

    • Quantile Binning is an effective framework for uncertainty quantification in anatomical landmark localization.
    • The method enhances the reliability and clinical applicability of deep learning models.
    • Provides guidance on selecting and utilizing uncertainty measures for improved medical image analysis.