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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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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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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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The vertical distance between the actual value of y and the estimated value of y. In other words, it measures the vertical distance between the actual data point and the predicted point on the line
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Digging Into Uncertainty-Based Pseudo-Label for Robust Stereo Matching.

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    Summary
    This summary is machine-generated.

    This study introduces uncertainty estimation for robust stereo matching, improving generalization across datasets. It uses uncertainty-based pseudo-labels to adapt models without extensive ground truth data.

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    Area of Science:

    • Computer Vision
    • Machine Learning

    Background:

    • Stereo matching methods struggle with domain shift and imbalanced disparity, limiting dataset generalization.
    • Adapting to new domains typically requires costly ground-truth data, which is often impractical.

    Purpose of the Study:

    • To develop a robust stereo matching approach that addresses domain shift and limited ground truth data.
    • To leverage uncertainty estimation for improved disparity distribution and model adaptation.

    Main Methods:

    • Employed pixel-level uncertainty estimation to dynamically adjust disparity search spaces, pruning unlikely correspondences.
    • Introduced uncertainty-based pseudo-labeling (pixel-level and area-level) to adapt pre-trained models to new domains using sparse, reliable labels.
    • Validated the method's effectiveness in cross-domain, adaptation, and joint generalization scenarios.

    Main Results:

    • Achieved 1st place in the stereo task at the Robust Vision Challenge 2020.
    • Demonstrated strong cross-domain, adaptation, and joint generalization capabilities.
    • Extended uncertainty-based pseudo-labels to unsupervised monocular depth estimation, achieving performance comparable to supervised methods.

    Conclusions:

    • Uncertainty estimation offers a robust solution for stereo matching challenges, particularly domain shift and data scarcity.
    • The proposed uncertainty-based pseudo-labeling technique effectively bridges domain gaps and enables unsupervised learning for depth estimation.