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Related Concept Videos

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

Propagation of Uncertainty from Random Error

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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: 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

1.6K
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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Prediction Intervals01:03

Prediction Intervals

3.5K
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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Uncertainty in Measurement: Accuracy and Precision03:37

Uncertainty in Measurement: Accuracy and Precision

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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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Related Experiment Videos

Landslide Displacement Prediction With Uncertainty Based on Neural Networks With Random Hidden Weights.

Cheng Lian, Zhigang Zeng, Wei Yao

    IEEE Transactions on Neural Networks and Learning Systems
    |January 14, 2016
    PubMed
    Summary
    This summary is machine-generated.

    This study introduces a novel artificial neural network (ANN) approach for landslide displacement forecasting, focusing on probabilistic prediction intervals (PIs) rather than single-point estimates. The method enhances accuracy by optimizing ANNs with random hidden weights using a hybrid algorithm.

    Related Experiment Videos

    Area of Science:

    • Geotechnical Engineering
    • Artificial Intelligence
    • Data Science

    Background:

    • Landslide displacement forecasting is crucial for hazard mitigation.
    • Deterministic models often fail to capture prediction uncertainty.
    • Probabilistic forecasting offers a more robust approach to quantifying uncertainty.

    Purpose of the Study:

    • To develop a probabilistic landslide displacement forecasting model using artificial neural networks (ANNs).
    • To construct accurate prediction intervals (PIs) for landslide displacement.
    • To propose a novel ANN architecture with random hidden weights for uncertainty quantification.

    Main Methods:

    • A new single hidden layer feedforward ANN with random hidden weights was designed for the lower-upper bound estimation (LUBE) method.
    • Input weights and hidden biases were randomly initialized, requiring only output weight optimization.
    • A hybrid particle swarm optimization (PSO) and gravitational search algorithm (GSA), termed PSOGSA, was employed for output weight optimization.
    • A novel ANN objective function combining a modified combinational coverage width-based criterion with one-norm regularization was introduced.

    Main Results:

    • The proposed method successfully constructed high-quality prediction intervals (PIs) for landslide displacement.
    • Experimental results on benchmark and real-world landslide datasets validated the method's capability.
    • The approach effectively quantifies uncertainty in landslide displacement predictions.

    Conclusions:

    • The novel ANN-based probabilistic forecasting framework with random hidden weights provides a significant advancement in landslide displacement prediction.
    • The integration of PSOGSA optimization and the new objective function enhances the quality of prediction intervals.
    • This method offers a reliable tool for geotechnical engineers and researchers involved in landslide hazard assessment.