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Related Concept Videos

Prediction Intervals01:03

Prediction Intervals

2.4K
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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Improving Translational Accuracy02:07

Improving Translational Accuracy

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Base complementarity between the three base pairs of mRNA codon and the tRNA anticodon is not a failsafe mechanism. Inaccuracies can range from a single mismatch to no correct base pairing at all. The free energy difference between the correct and nearly correct base pairs can be as small as 3 kcal/ mol. With complementarity being the only proofreading step, the estimated error frequency would be one wrong amino acid in every 100 amino acids incorporated. However, error frequencies observed in...
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Residuals and Least-Squares Property01:11

Residuals and Least-Squares Property

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The vertical distance between the actual value of y and the estimated value of y. In other words, it measures the vertical distance between the actual data point and the predicted point on the line
If the observed data point lies above the line, the residual is positive, and the line underestimates the actual data value for y. If the observed data point lies below the line, the residual is negative, and the line overestimates the actual data value for y.
The process of fitting the best-fit...
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Regression Toward the Mean01:52

Regression Toward the Mean

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Regression toward the mean (“RTM”) is a phenomenon in which extremely high or low values—for example, and individual’s blood pressure at a particular moment—appear closer to a group’s average upon remeasuring. Although this statistical peculiarity is the result of random error and chance, it has been problematic across various medical, scientific, financial and psychological applications. In particular, RTM, if not taken into account, can interfere when...
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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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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.
For potentiometric titration, the Gran plot is created by plotting...
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Related Experiment Video

Updated: Oct 9, 2025

Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine
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Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine

Published on: October 27, 2016

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History Marginalization Improves Forecasting in Variational Recurrent Neural Networks.

Chen Qiu1,2, Stephan Mandt3, Maja Rudolph4

  • 1Bosch Center for AI, 71272 Renningen, Germany.

Entropy (Basel, Switzerland)
|December 24, 2021
PubMed
Summary

Deep probabilistic time series forecasting models can predict unrealistic outcomes due to mode-averaging. Variational Dynamic Mixtures (VDM) offer a novel solution for multi-modal forecasting, improving accuracy on complex datasets.

Keywords:
sequential latent variable modelstime series forecastingvariational inference

Related Experiment Videos

Last Updated: Oct 9, 2025

Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine
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Visualization Method for Proprioceptive Drift on a 2D Plane Using Support Vector Machine

Published on: October 27, 2016

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Area of Science:

  • Machine Learning
  • Time Series Analysis
  • Probabilistic Modeling

Background:

  • Deep probabilistic models are crucial for time series forecasting.
  • Current generative models often suffer from limited inference, leading to mode-averaged predictions.
  • Mode-averaging results in unphysical forecasts for multi-modal real-world sequences.

Purpose of the Study:

  • To address the limitations of mode-averaging in deep probabilistic time series forecasting.
  • To introduce a novel variational family for inferring sequential latent variables.
  • To improve the capture of multi-modality in time series data.

Main Methods:

  • Developed Variational Dynamic Mixtures (VDM), a new variational family.
  • VDM utilizes a mixture density network for approximate posterior at each time step.
  • Employs a recurrent architecture to propagate multiple samples for posterior approximation.

Main Results:

  • VDM provides an expressive multi-modal posterior approximation.
  • Empirical studies demonstrate VDM's superior performance.
  • VDM outperforms competing methods on highly multi-modal datasets across various domains.

Conclusions:

  • VDM effectively captures multi-modal dynamics in time series forecasting.
  • The proposed method overcomes limitations of existing inference models.
  • VDM represents a significant advancement for probabilistic time series forecasting.