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High Dimensional Data

  • Pictures like the one at right are absolutely misleading!

  • Documents are zero along almost all axes

  • Most document pairs are very far apart (i.e., not strictly orthogonal, but only share very common words and a few scattered others)

  • In classification terms: often document sets are separable, for most any classification

  • This is part of why linear classifiers are quite successful in this domain

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