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K-nearest neighbor finding using MaxNearestDist.

Hanan Samet1

  • 1Computer Science Department, Center for Automation Research, University of Maryland, College Park, MD 20742-3275, USA. hjs@cs.umd.edu

IEEE Transactions on Pattern Analysis and Machine Intelligence
|December 18, 2007
PubMed
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This study introduces MaxNearestDist, an upper bound pruning technique for k-nearest neighbor search. It enhances both depth-first and best-first algorithms, potentially reducing execution time and storage needs in hierarchical clustering.

Area of Science:

  • Computer Science
  • Data Mining
  • Machine Learning

Background:

  • Similarity searching is crucial for data analysis, often involving finding k-nearest neighbors.
  • Existing k-nearest neighbor algorithms use hierarchical clustering and a MinDist lower bound for pruning.
  • MinDist pruning can be inefficient, leading to suboptimal search performance.

Purpose of the Study:

  • To introduce and adapt the MaxNearestDist upper bound for k-nearest neighbor search.
  • To enhance the efficiency of depth-first and best-first k-nearest neighbor algorithms.
  • To overcome the limitations of traditional MinDist pruning techniques.

Main Methods:

  • Developed an adaptation of the MaxNearestDist upper bound for k-nearest neighbor (k>1) search.
  • Modified both depth-first and best-first k-nearest neighbor algorithms to incorporate MaxNearestDist.

Related Experiment Videos

  • Evaluated the impact of MaxNearestDist on cluster examination and priority queue storage.
  • Main Results:

    • MaxNearestDist enhances both depth-first and best-first k-nearest neighbor algorithms.
    • For depth-first search, MaxNearestDist does not increase the number of examined clusters, potentially reducing execution time.
    • For best-first search, MaxNearestDist does not increase priority queue size, potentially reducing storage requirements.

    Conclusions:

    • The MaxNearestDist upper bound offers a significant improvement for k-nearest neighbor search in hierarchical clustering.
    • This technique provides a valuable alternative to MinDist pruning, enhancing algorithm efficiency.
    • The adapted MaxNearestDist is effective in optimizing both time and space complexity for nearest neighbor queries.