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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.
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Suppose one wants to test independence between the two variables of a contingency table. The values in the table constitute the observed frequencies of the dataset. But how does one determine the expected frequency of the dataset? One of the important assumptions is that the two variables are independent, which means the variables do not influence each other. For independent variables, the statistical probability of any event involving both variables is calculated by multiplying the individual...
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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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A probability histogram is a visual representation of a probability distribution. Similar a typical histogram, the probability histogram consists of contiguous (adjoining) boxes. It has both a horizontal axis and a vertical axis. The horizontal axis is labeled with what the data represents. The vertical axis is labeled with probability. Each rectangular bar in the histogram is 1 unit wide, which suggests that the area under each bar equals the probability, P(x), where x is 1, 2, 3, and so on.
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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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End Point Prediction: Gran Plot01:07

End Point Prediction: Gran Plot

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A Gran plot is used to predict the equivalence volume or endpoint of a potentiometric or acid-base titration without reaching the endpoint. Typically, titration data is collected as a function of the titrant's volume up to a point less than the equivalence volume and then transformed into a linear format. The straight line is extended to the x-axis, indicating the necessary titrant volume to achieve the equivalence point.
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Probabilistic Forecasting With Modified N-BEATS Networks.

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    This study enhances the N-BEATS deep learning model for time series forecasting, improving forecast stability and accuracy. The modified model offers better probabilistic forecasts for applications like supply chain planning.

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    Area of Science:

    • Machine Learning
    • Time Series Analysis
    • Deep Learning

    Background:

    • Univariate time series forecasting often requires probabilistic outputs.
    • Existing deep learning models may lack stability or struggle with cumulative forecasts.

    Purpose of the Study:

    • To modify the N-BEATS architecture for parametric probabilistic time series forecasting.
    • To introduce extensions for optimizing forecast stability and jointly forecasting marginal and cumulative values.
    • To evaluate the enhanced model's performance in a supply chain context.

    Main Methods:

    • Modification of the state-of-the-art N-BEATS deep learning architecture.
    • Development of extensions to optimize for forecast accuracy and stability.
    • Joint optimization of single-period marginal and multiperiod cumulative probabilistic forecasts.
    • Empirical evaluation on the M4 monthly dataset.

    Main Results:

    • The enhanced N-BEATS model provides more stable forecast distributions.
    • Minimal loss in forecast accuracy was observed with improved stability.
    • The second extension demonstrated improved accuracy for probabilistic cumulative forecasts.
    • The model shows utility in supply chain planning.

    Conclusions:

    • The proposed probabilistic N-BEATS network and its extensions offer significant improvements for time series forecasting.
    • The enhancements address forecast stability and cumulative forecasting challenges.
    • The model is a valuable tool for practical applications such as supply chain management.