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The divergence of a vector field at a point is the net outward flow of the flux out of a small volume through a closed surface enclosing the volume, as the volume tends to zero. More practically, divergence measures how much a vector field spreads out or diverges from a given point. For an outgoing flux, conventionally, the divergence is positive. The diverging point is often called the "source" of the field. Meanwhile, the negative divergence of a vector field at a point means that the vector...
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Deep divergence-based approach to clustering.

Michael Kampffmeyer1, Sigurd Løkse1, Filippo M Bianchi1

  • 1Machine Learning Group, UiT the Arctic University of Norway, Norway (1).

Neural Networks : the Official Journal of the International Neural Network Society
|February 25, 2019
PubMed
Summary
This summary is machine-generated.

This study introduces a novel deep clustering network that learns data representations and cluster structures simultaneously using an information-theoretic loss function. The method achieves competitive performance on various datasets without requiring pre-training.

Keywords:
ClusteringDeep learningDivergenceInformation-theoretic learningUnsupervised learning

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Area of Science:

  • Artificial Intelligence
  • Machine Learning
  • Data Mining

Background:

  • Deep learning for clustering is an emerging field, with challenges in designing effective loss functions for unsupervised representation learning.
  • Traditional clustering methods often struggle with high-dimensional data and scalability.

Purpose of the Study:

  • To develop a novel deep clustering network capable of learning representations and cluster structures simultaneously.
  • To introduce a new loss function incorporating information-theoretic divergence and geometric regularization for improved clustering performance.

Main Methods:

  • Proposed a deep clustering network architecture.
  • Developed a novel loss function combining information-theoretic divergence measures with geometric regularization constraints.
  • Evaluated the network on synthetic and real-world datasets.

Main Results:

  • The proposed network achieved competitive performance compared to state-of-the-art deep clustering methods.
  • The method demonstrated good scalability for large datasets.
  • The approach effectively avoids degenerate clustering structures through geometric regularization.

Conclusions:

  • The novel deep clustering network offers a promising approach for unsupervised learning tasks.
  • The proposed information-theoretic loss function with geometric regularization enhances clustering quality and stability.
  • This method provides an effective, pre-training-free solution for deep clustering.