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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

Propagation of Uncertainty from Systematic Error

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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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Uniform Depth Channel Flow: Problem Solving01:18

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To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
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Statically Indeterminate Problem Solving01:16

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Statically indeterminate problems are those where statics alone can not determine the internal forces or reactions. Consider a structure comprising two cylindrical rods made of steel and brass. These rods are joined at point B and restrained by rigid supports at points A and C. Now, the reactions at points A and C and the deflection at point B are to be determined. This rod structure is classified as statically indeterminate as the structure has more supports than are necessary for maintaining...
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Related Experiment Video

Updated: Jul 22, 2025

Swin-PSAxialNet: An Efficient Multi-Organ Segmentation Technique
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Published on: July 5, 2024

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Uncertainty-Aware Source-Free Domain Adaptive Semantic Segmentation.

Zhihe Lu, Da Li, Yi-Zhe Song

    IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society
    |July 20, 2023
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces Bayesian Neural Networks for Source-Free Domain Adaptation in semantic segmentation. By leveraging pseudo-label uncertainty, the new method significantly improves model performance on target domains.

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    Area of Science:

    • Computer Vision
    • Machine Learning
    • Deep Learning

    Background:

    • Source-Free Domain Adaptation (SFDA) addresses distribution shifts between training and deployment data without requiring source data.
    • Semantic segmentation often relies on pseudo-labeling for target domain self-training, but source model-generated pseudo-labels can be unreliable due to domain shift.

    Purpose of the Study:

    • To enhance Source-Free Domain Adaptation for semantic segmentation by improving the reliability of pseudo-labels.
    • To introduce a novel approach using Bayesian Neural Networks (BNN) to estimate and exploit pseudo-label uncertainty.

    Main Methods:

    • Utilized Bayesian Neural Networks (BNN) to quantify uncertainty in pseudo-labels generated for the target domain.
    • Developed two novel self-training components: Uncertainty-aware Online Teacher-Student Learning (UOTSL) and Uncertainty-aware FeatureMix (UFM).
    • Implemented and evaluated the proposed methods on GTA 5 → Cityscapes and SYNTHIA → Cityscapes benchmarks.

    Main Results:

    • The proposed BNN-based approach significantly improved the quality of pseudo-labels by effectively estimating their uncertainty.
    • Achieved substantial performance gains, with mIoU increases of 3.6% on GTA 5 → Cityscapes and 5.7% on SYNTHIA → Cityscapes.
    • Demonstrated superiority over existing state-of-the-art methods in Source-Free Domain Adaptation for semantic segmentation.

    Conclusions:

    • Bayesian Neural Networks offer a robust mechanism for uncertainty estimation in SFDA, leading to more reliable pseudo-labels.
    • The proposed UOTSL and UFM components effectively leverage uncertainty information to boost semantic segmentation performance.
    • This work presents a significant advancement in SFDA for semantic segmentation, particularly in scenarios with limited or no source data.