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Related Concept Videos

Confidence Coefficient01:24

Confidence Coefficient

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The confidence coefficient is also known as the confidence level or degree of confidence. It is the percent expression for the probability, 1-α, that the confidence interval contains the true population parameter assuming that the confidence interval is obtained after sufficient unbiased sampling; for example, if the CL = 90%, then in 90 out of 100 samples the interval estimate will enclose the true population parameter. Here α is the area under the curve, distributed equally under...
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Appropriate sampling methods ensure that samples are drawn without bias and accurately represent the population. Because measuring the entire population in a study is not practical, researchers use samples to represent the population of interest.
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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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A confidence interval is a better estimate of the population than a point estimate, as it uses a range of values from a sample instead of a single value.
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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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Confidence Intervals01:21

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An unbiased point estimate is often insufficient to predict a population estimate, such as population mean or population proportion. In this scenario, a confidence interval is used. A confidence interval is an estimate similar to a  sample proportion. However, unlike the point estimate which is a single value, the confidence interval  contains a range of values. These values have lower and upper limits, known as confidence limits, and can be designated as L1 and L2, respectively.
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    This study introduces trustworthy deep credal clustering, a new method addressing overconfidence in deep clustering by integrating deep learning with the Dempster-Shafer Theory of evidence. The approach enhances robustness for uncertain data, improving clustering accuracy.

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    Area of Science:

    • Artificial Intelligence
    • Machine Learning
    • Data Science

    Background:

    • Deep clustering models often exhibit overconfidence, misclassifying ambiguous data points.
    • Existing methods struggle to quantify and manage uncertainty in cluster assignments.

    Purpose of the Study:

    • To develop a trustworthy deep credal clustering framework that quantifies uncertainty.
    • To improve the robustness and accuracy of deep clustering models.

    Main Methods:

    • Integration of deep neural networks with the Dempster-Shafer Theory of evidence (DST).
    • Leveraging credal cluster structures to handle uncertain data.
    • Derivation of closed-form solutions for cluster membership and prototype updates using coordinate descent optimization.

    Main Results:

    • The proposed method effectively refrains from assigning uncertain samples, reducing errors.
    • Demonstrated enhanced overall clustering effectiveness across various datasets.
    • Improved model trustworthiness by managing ambiguity in data.

    Conclusions:

    • Trustworthy deep credal clustering offers a robust solution for handling uncertainty in deep learning models.
    • The framework enhances data clustering by acknowledging and managing sample ambiguity.
    • This approach leads to more reliable and accurate clustering outcomes.