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Related Concept Videos

Standard Deviation01:10

Standard Deviation

27.5K
The most commonly used measure of variation is the standard deviation. It is a numerical value measuring how far data values are from their mean. The standard deviation value is small when the data are concentrated close to the mean, exhibiting slight variation or spread. The standard deviation value is never negative, it is either positive or zero. The standard deviation is larger when the data values are more spread out from the mean, which means the data values are exhibiting more variation.
27.5K
Empirical Method to Interpret Standard Deviation01:09

Empirical Method to Interpret Standard Deviation

9.3K
The empirical rule, also known as the three-sigma rule, allows a statistician to interpret the standard deviation in a normally distributed dataset. The rule states that 68% of the data lies within one standard deviation from the mean, 95% lies within two standard deviations from the mean, and 99.7% lies within three standard deviations from the mean. Additionally, this rule is also called the 68-95-99.7 rule.
This rule is used widely in statistics to calculate the proportion of data values...
9.3K
Chebyshev's Theorem to Interpret Standard Deviation01:15

Chebyshev's Theorem to Interpret Standard Deviation

5.0K
Chebyshev’s theorem, also known as Chebyshev’s Inequality, states that the proportion of values of a dataset for K standard deviation is calculated using the equation:
5.0K
Testing a Claim about Standard Deviation01:19

Testing a Claim about Standard Deviation

2.9K
A complete procedure to test a claim about population standard deviation or population variance is explained here.
The hypothesis testing for the claim of population standard deviation (or variance) requires the data and samples to be random and unbiased. The population distribution also must be normal. There is no specific requirement on the sample size as the estimation is based on the chi-square distribution.
As a first step, the hypothesis (null and alternative) concerning the claim about...
2.9K
Downsampling01:20

Downsampling

605
When considering a sampled sequence with zero values between sampling instants, one can replace it by taking every N-th value of the sequence. At these integer multiples of N, the original and sampled sequences coincide. This process, known as decimation, involves extracting every N-th sample from a sequence, thereby creating a more efficient sequence.
The Fourier transform of the decimated sequence reveals a combination of scaled and shifted versions of the original spectrum. This...
605
Range Rule of Thumb to Interpret Standard Deviation01:13

Range Rule of Thumb to Interpret Standard Deviation

13.4K
The range rule of thumb in statistics helps us calculate a dataset's minimum and maximum values with known standard deviation. This rule is based on the concept that 95% of all values in a dataset lie within two standard deviations from the mean.
For instance, the range rule of thumb can be used to find the tallest and the shortest student in a class, given the mean student height and standard deviation. If the mean student height is 1.6 m and the standard deviation, s is 0.05 m, the height...
13.4K

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Related Experiment Video

Updated: Jan 16, 2026

Applying Hyperspectral Reflectance Imaging to Investigate the Palettes and the Techniques of Painters
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Applying Hyperspectral Reflectance Imaging to Investigate the Palettes and the Techniques of Painters

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Dimensionality reduction in hyperspectral imaging using standard deviation-based band selection for efficient

Wolfgang Kurz1, Kun Wang2, Furkan Bektas2

  • 1Department of Electrical Engineering, Institute for Measurement Systems and Sensor Technology, Technical University of Munich, Munich, 80333, Germany. w.kurz@tum.de.

Scientific Reports
|October 3, 2025
PubMed
Summary
This summary is machine-generated.

Standard deviation effectively reduces hyperspectral imaging data size by up to 97.3% for organ tissue classification. This band selection method maintains spectral features, achieving high accuracy comparable to unprocessed data.

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Area of Science:

  • Biomedical optics
  • Machine learning applications
  • Data science in healthcare

Background:

  • Hyperspectral imaging (HSI) generates large datasets with rich spatial and spectral information.
  • Dimensionality reduction is crucial for managing HSI data size while preserving key spectral features.
  • Band selection and feature extraction are primary dimensionality reduction strategies.

Purpose of the Study:

  • To evaluate the standard deviation as a band selection method for HSI data.
  • To assess the efficiency of standard deviation combined with a convolutional neural network (CNN) for organ tissue classification.
  • To compare the standard deviation method with other band selection techniques like mutual information and Shannon entropy.

Main Methods:

  • Applied standard deviation for band selection in hyperspectral imaging datasets.
  • Utilized a convolutional neural network (CNN) for classifying organ tissues.
  • Tested the method on eleven groups of diverse organ samples (100 datasets per group).
  • Compared classification accuracy and data reduction efficiency against unprocessed data and other band selection methods.

Main Results:

  • Standard deviation reduced data size by up to 97.3% while retaining essential spectral features.
  • Achieved a classification accuracy of 97.21% with the standard deviation method.
  • This accuracy is comparable to the 99.30% achieved without any dimensionality reduction.
  • Demonstrated superior stability and efficiency compared to mutual information and Shannon entropy band selection methods.

Conclusions:

  • Standard deviation is an effective and efficient band selection approach for hyperspectral imaging.
  • This method significantly reduces data size without compromising spectral feature integrity for classification.
  • The approach shows great potential for hyperspectral imaging classification tasks demanding large datasets and high processing speeds.
  • Highlights the value of dimensionality reduction in hyperspectral imaging for medical applications.