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Classification of Systems-I01:26

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Related Experiment Video

Updated: May 29, 2026

Cross-Modal Multivariate Pattern Analysis
13:51

Cross-Modal Multivariate Pattern Analysis

Published on: November 9, 2011

Minimum cross-entropy pattern classification and cluster analysis.

J E Shore1, R M Gray

  • 1SENIOR MEMBER, IEEE, Information Technology Division, Naval Research Laboratory, Washington, DC 20375.

IEEE Transactions on Pattern Analysis and Machine Intelligence
|August 27, 2011
PubMed
Summary
This summary is machine-generated.

This study introduces a novel nearest neighbor classification using a non-Euclidean distortion measure based on cross-entropy minimization. This method offers optimal classification and simplifies cluster centroid computation.

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Large-scale Reconstructions and Independent, Unbiased Clustering Based on Morphological Metrics to Classify Neurons in Selective Populations
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Published on: February 15, 2017

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Last Updated: May 29, 2026

Cross-Modal Multivariate Pattern Analysis
13:51

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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

Area of Science:

  • Information Theory
  • Machine Learning
  • Pattern Recognition

Background:

  • Nearest neighbor rules are common for classifying measurement vectors using fixed reference vectors.
  • Existing methods often rely on Euclidean metrics, which may not be optimal for all data types.
  • Vector quantization techniques are used in areas like speech coding.

Purpose of the Study:

  • To develop a computationally attractive and optimal classification method using a non-Euclidean distortion measure.
  • To refine Kullback's classification method by exploiting properties of cross-entropy.
  • To generalize existing speech coding techniques.

Main Methods:

  • Utilizing a non-Euclidean information-theoretic distortion measure, specifically cross-entropy minimization.
  • Applying a nearest neighbor rule to a fixed set of characteristic feature vectors.
  • Leveraging minimum cross-entropy densities for refinement.

Main Results:

  • The proposed method achieves optimal classification in a well-defined sense.
  • The distortion measure is computationally attractive and simplifies cluster centroid calculation.
  • The approach generalizes speech coding by vector quantization.

Conclusions:

  • Cross-entropy minimization provides an effective framework for nearest neighbor classification.
  • This method offers advantages in computational efficiency and optimality.
  • The technique has broader applications beyond speech coding, including general vector classification.