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Related Concept Videos

Prediction Intervals01:03

Prediction Intervals

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The interval estimate of any variable is known as the prediction interval. It helps decide if a point estimate is dependable.
However, the point estimate is most likely not the exact value of the population parameter, but close to it. After calculating point estimates, we construct interval estimates, called confidence intervals or prediction intervals. This prediction interval comprises a range of values unlike the point estimate and is a better predictor of the observed sample value, y. 
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Confidence Intervals01:21

Confidence Intervals

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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.
A...
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Interpretation of Confidence Intervals01:19

Interpretation of Confidence Intervals

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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.
Confidence intervals have confidence coefficients that are crucial for their interpretation. The most common confidence coefficients are 0.90, 0.95, and 0.99, which can be written as percentages–90%, 95%, and 99%, respectively.
Suppose a person calculates a confidence interval with a confidence coefficient of 0.95. In that case, they can...
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Hazard Rate01:11

Hazard Rate

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The hazard rate, also known as the hazard function or failure rate, is a statistical measure used to describe the instantaneous rate at which an event occurs, given that the event has not yet happened. From a probabilistic perspective, it represents the likelihood that a subject will experience the event in a very small time interval, conditional on surviving up to the beginning of that interval. In terms of frequency, the hazard rate can be viewed as the ratio of the number of events to the...
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Uncertainty: Confidence Intervals00:54

Uncertainty: Confidence Intervals

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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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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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Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
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Revisiting Confidence Estimation: Towards Reliable Failure Prediction.

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    Most deep learning confidence methods hinder error detection. This study reveals they worsen confidence separation for misclassified data. We propose finding flat minima to enlarge this gap, improving failure prediction for reliable AI.

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    Area of Science:

    • Artificial Intelligence
    • Machine Learning
    • Deep Neural Networks

    Background:

    • Reliable confidence estimation is crucial for risk-sensitive AI applications.
    • Deep neural networks often exhibit overconfidence in incorrect predictions and for out-of-distribution (OOD) samples.
    • Existing confidence calibration and OOD detection methods have limitations.

    Purpose of the Study:

    • To identify and address the detrimental effect of common confidence estimation methods on misclassification error detection.
    • To improve the confidence separation between correctly classified and misclassified samples.
    • To enhance the reliability of deep learning models in real-world scenarios.

    Main Methods:

    • Investigated the phenomenon where confidence estimation methods harm failure prediction.
    • Analyzed how popular calibration and OOD detection techniques affect confidence separation.
    • Proposed a novel approach of finding flat minima to enlarge the confidence gap.

    Main Results:

    • Demonstrated that most confidence estimation methods negatively impact misclassification detection.
    • Showcased that popular methods reduce confidence separation between correct and incorrect predictions.
    • Achieved state-of-the-art failure prediction performance using the flat minima approach across various classification settings.

    Conclusions:

    • The proposed method of finding flat minima significantly improves failure prediction.
    • This work provides a strong baseline for reliable confidence estimation in deep learning.
    • The study bridges the understanding between model calibration, OOD detection, and failure prediction.