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Related Concept Videos

Entropy02:39

Entropy

Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)01:20

¹³C NMR: Distortionless Enhancement by Polarization Transfer (DEPT)

When proton-coupled carbon-13 spectra are simplified by a broadband proton decoupling technique, structural information about the coupled protons is lost. Distortionless enhancement by polarization transfer (DEPT) is a technique that provides information on the number of hydrogens attached to each carbon in a molecule. While the DEPT experiment utilizes complex pulse sequences, the pulse delay and flip angle are specifically manipulated. The resulting signals have different phases depending on...
Entropy and the Second Law of Thermodynamics01:20

Entropy and the Second Law of Thermodynamics

The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
The relation  between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
Cluster Sampling Method01:20

Cluster Sampling Method

Appropriate sampling methods ensure 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.
To choose a cluster sample, divide the population into clusters (groups) and then randomly select some of the clusters. All the members from these clusters are in the cluster sample. For example, if you randomly sample four departments from your...
Chebyshev's Theorem to Interpret Standard Deviation01:15

Chebyshev's Theorem to Interpret Standard Deviation

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:
Extraction: Partition and Distribution Coefficients01:14

Extraction: Partition and Distribution Coefficients

The distribution law or Nernst's distribution law is the law that governs the distribution of a solute between two immiscible solvents. This law, also known as the partition law, states that if a solute is added to the mixture of two immiscible solvents at a constant temperature, the solute is distributed between the two solvents in such a way that the ratio of solute concentrations in the solvents remains constant at equilibrium.
For extracting a solute from an aqueous phase into an organic...

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Related Experiment Video

Updated: Jul 13, 2026

Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations
12:27

Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations

Published on: February 15, 2017

Partial distortion entropy maximization for online data clustering.

Hiroyuki Takizawa1, Hiroaki Kobayashi

  • 1Graduate School of Information Sciences, Tohoku University, 6-3 Aramaki-aza-aoba, Aoba, Sendai 980-8578, Japan. tacky@isc.tohoku.ac.jp

Neural Networks : the Official Journal of the International Neural Network Society
|August 9, 2007
PubMed
Summary

This study introduces a new criterion for competitive learning neural networks, eliminating the need for predetermined thresholds. This method enhances both adaptation speed and error minimization in online data clustering.

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Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
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Last Updated: Jul 13, 2026

Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations
12:27

Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations

Published on: February 15, 2017

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Computational Neuroscience

Background:

  • Competitive learning neural networks (CLNNs) are effective for online data clustering and modeling non-stationary distributions.
  • A key challenge in CLNNs is the need for heuristic threshold parameters to balance adaptation speed and convergence accuracy.
  • Existing methods struggle to optimize this trade-off, as excessive node relocation can hinder error minimization.

Purpose of the Study:

  • To propose a novel criterion for node relocation in CLNNs that removes the dependency on predetermined thresholds.
  • To achieve simultaneous improvement in adaptation speed and error minimization performance.
  • To enhance the practical applicability of CLNNs in dynamic environments.

Main Methods:

  • Introduced a new criterion for deciding node relocation based on improving partial distortion entropy.
  • This criterion serves as an online optimality metric for error minimization.
  • Node relocation is performed only when it benefits the partial distortion entropy, thus preserving error minimization.

Main Results:

  • The proposed criterion enables node relocation without disturbing error minimization.
  • Simultaneous achievement of quick adaptation and high error minimization performance is demonstrated.
  • Experimental results validate the superiority of the proposed criterion over existing representative algorithms.

Conclusions:

  • The novel criterion effectively addresses the limitations of heuristic thresholds in CLNNs.
  • This approach offers a robust solution for online data clustering with improved performance.
  • The method facilitates more reliable and efficient application of competitive learning in dynamic data scenarios.