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Related Concept Videos

Uncertainty: Overview00:59

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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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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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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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Super-resolution fluorescence microscopy (SRFM) provides a better resolution than conventional fluorescence microscopy by reducing the point spread function (PSF). PSF is the light intensity distribution from a point that causes it to appear blurred. Due to PSF, each fluorescing point appears bigger than its actual size, and it is the PSF interference of nearby fluorophores that causes the blurred image. Various approaches to achieving higher resolution through SRFM have recently been...
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Application of Deep Learning-Based Medical Image Segmentation via Orbital Computed Tomography
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Super-Resolved q-Space deep learning with uncertainty quantification.

Yu Qin1, Zhiwen Liu1, Chenghao Liu1

  • 1School of Information and Electronics, Beijing Institute of Technology, 5 Zhongguancun South Street, Beijing, China.

Medical Image Analysis
|November 23, 2020
PubMed
Summary
This summary is machine-generated.

Super-resolved q-Space deep learning (SR-q-DL) enhances diffusion MRI by improving brain tissue microstructure estimation. This novel method achieves higher accuracy and quantifies uncertainty, outperforming existing techniques.

Keywords:
-Space deep learningDiffusion MRISuper-resolved tissue microstructure estimationUncertainty quantification

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Area of Science:

  • Neuroimaging
  • Medical Physics
  • Machine Learning

Background:

  • Diffusion magnetic resonance imaging (dMRI) noninvasively measures brain tissue microstructure.
  • Existing q-Space deep learning (q-DL) methods estimate microstructure from reduced dMRI data.
  • Limitations in dMRI include reduced gradient numbers and low spatial resolution, impacting microstructure estimation quality.

Purpose of the Study:

  • To extend q-DL for super-resolved tissue microstructure estimation using low-resolution dMRI signals.
  • To introduce super-resolved q-DL (SR-q-DL) for mapping low-resolution signals to high-resolution microstructure.
  • To develop probabilistic SR-q-DL for quantifying estimation uncertainty and improving accuracy.

Main Methods:

  • Developed SR-q-DL using deep networks for patch-based mapping from low-resolution to high-resolution microstructure.
  • Integrated diffusion signal sparsity into network design with sparse representation and mapping components.
  • Proposed probabilistic SR-q-DL using a deep ensemble strategy for uncertainty quantification and improved accuracy.

Main Results:

  • SR-q-DL demonstrated superior estimation accuracy compared to competing methods on two independent dMRI datasets.
  • Probabilistic SR-q-DL successfully quantified estimation uncertainty.
  • Uncertainty measures correlated with estimation errors, indicating potential for brain studies.

Conclusions:

  • SR-q-DL effectively enhances dMRI-based tissue microstructure estimation by increasing spatial resolution.
  • Probabilistic SR-q-DL provides reliable uncertainty quantification alongside accurate microstructure mapping.
  • The proposed methods offer significant advancements for quantitative analysis in brain imaging research.