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Why Wavelet Transform?

  • Use hat-shape filters
    • Emphasize region where points cluster
    • Suppress weaker information in their boundaries
  • Effective removal of outliers
    • Insensitive to noise, insensitive to input order
  • Multi-resolution
    • Detect arbitrary shaped clusters at different scales
  • Efficient
    • Complexity O(N)
  • Only applicable to low dimensional data

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