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Related Concept Videos

Prediction Intervals01:03

Prediction Intervals

2.5K
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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Randomized Experiments01:13

Randomized Experiments

8.2K
The randomization process involves assigning study participants randomly to experimental or control groups based on their probability of being equally assigned. Randomization is meant to eliminate selection bias and balance known and unknown confounding factors so that the control group is similar to the treatment group as much as possible. A computer program and a random number generator can be used to assign participants to groups in a way that minimizes bias.
Simple randomization
Simple...
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Random Variables01:09

Random Variables

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A random variable is a single numerical value that indicates the outcome of a procedure. The concept of random variables is fundamental to the probability theory and was introduced by a Russian mathematician, Pafnuty Chebyshev, in the mid-nineteenth century.
Uppercase letters such as X or Y denote a random variable. Lowercase letters like x or y denote the value of a random variable. If X is a random variable, then X is written in words, and x is given as a number.
For example, let X = the...
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End Point Prediction: Gran Plot01:07

End Point Prediction: Gran Plot

738
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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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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Random Sampling Method01:09

Random Sampling Method

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Sampling is a technique to select a portion (or subset) of the larger population and study that portion (the sample) to gain information about the population. Data are the result of sampling from a population. The sampling method ensures 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. Among the various sampling methods used by...
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Related Experiment Video

Updated: Oct 21, 2025

Closed-loop Neuro-robotic Experiments to Test Computational Properties of Neuronal Networks
11:18

Closed-loop Neuro-robotic Experiments to Test Computational Properties of Neuronal Networks

Published on: March 2, 2015

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Extremely randomized neural networks for constructing prediction intervals.

Tullio Mancini1, Hector Calvo-Pardo2, Jose Olmo3

  • 1University of Southampton, United Kingdom.

Neural Networks : the Official Journal of the International Neural Network Society
|September 6, 2021
PubMed
Summary

This study introduces a new deep neural network ensemble model that enhances prediction accuracy and uncertainty estimation. The novel method improves upon existing techniques, offering better performance in various settings.

Keywords:
DropoutEnsemble methodsNeural networksPrediction intervalUncertainty quantification

Related Experiment Videos

Last Updated: Oct 21, 2025

Closed-loop Neuro-robotic Experiments to Test Computational Properties of Neuronal Networks
11:18

Closed-loop Neuro-robotic Experiments to Test Computational Properties of Neuronal Networks

Published on: March 2, 2015

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Area of Science:

  • Machine Learning
  • Statistical Modeling
  • Artificial Intelligence

Background:

  • Traditional prediction models often struggle with variance and out-of-sample accuracy.
  • Bootstrap-based algorithms have limitations, especially in low-dimensional or non-i.i.d. settings.

Purpose of the Study:

  • To propose a novel prediction model using an ensemble of deep neural networks.
  • To adapt the extremely randomized trees method for improved prediction and uncertainty quantification.
  • To overcome limitations of existing resampling-based algorithms.

Main Methods:

  • Ensemble of deep neural networks.
  • Adaptation of the extremely randomized trees algorithm.
  • No data resampling, suitable for low/mid-dimensional and non-i.i.d. data.

Main Results:

  • Reduced prediction variance and improved out-of-sample accuracy.
  • Capability to compute prediction uncertainty and construct interval forecasts.
  • Superior performance compared to MC dropout and bootstrap procedures in simulations.

Conclusions:

  • The novel ensemble deep neural network model offers enhanced prediction accuracy and reliable uncertainty estimation.
  • The method is robust in various data settings, including those where the i.i.d. assumption does not hold.
  • This approach represents an advancement over current state-of-the-art prediction techniques.