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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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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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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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Magnetic Resonance Imaging01:24

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Magnetic resonance imaging (MRI) is a noninvasive medical imaging technique based on a phenomenon of nuclear physics discovered in the 1930s, in which matter exposed to magnetic fields and radio waves was found to emit radio signals. In 1970, a physician and researcher named Raymond Damadian noticed that malignant (cancerous) tissue gave off different signals than normal body tissue. He applied for a patent for the first MRI scanning device in clinical use by the early 1980s. The early MRI...
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Quantitative Magnetic Resonance Imaging of Skeletal Muscle Disease
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Uncertainty Quantification in Deep MRI Reconstruction.

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    This study quantifies uncertainty in deep learning (DL) MRI reconstruction using variational autoencoders (VAEs). Recurrent networks and SURE reduced uncertainty, improving diagnostic accuracy for undersampled MRI scans.

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    Area of Science:

    • Medical Imaging
    • Artificial Intelligence
    • Machine Learning

    Background:

    • Deep learning (DL) models offer potential for accelerated MRI reconstruction but introduce uncertainty.
    • Undersampled MRI scans and DL model opacity challenge diagnostic accuracy.

    Purpose of the Study:

    • To quantify uncertainty in DL-based MRI image reconstruction.
    • To develop a probabilistic framework for assessing reconstruction accuracy.

    Main Methods:

    • Utilized variational autoencoders (VAEs) for probabilistic reconstruction, encoding acquisition uncertainty.
    • Employed Monte-Carlo sampling for pixel variance maps and Stein's Unbiased Risk Estimator (SURE) for bias estimation.
    • Evaluated reconstruction performance on Knee MRI data using adversarial and pixel-wise losses with unrolled recurrent networks.

    Main Results:

    • Adversarial training losses increased reconstruction uncertainty.
    • Recurrent unrolled network architectures decreased prediction uncertainty and risk.
    • Probabilistic VAEs enabled generation of pixel variance maps for uncertainty quantification.

    Conclusions:

    • DL reconstruction uncertainty can be quantified using probabilistic VAEs and SURE.
    • Recurrent architectures show promise in reducing uncertainty for more reliable MRI.
    • Understanding and mitigating DL uncertainty is crucial for clinical diagnostic and therapeutic applications.