Centroid estimation in discrete high-dimensional spaces with applications in biology

  1. Luis E. Carvalho and
  2. Charles E. Lawrence*
  1. Division of Applied Mathematics, Brown University, 182 George Street, Providence, RI 02912
  1. Communicated by David Mumford, Brown University, Providence, RI, December 28, 2007 (received for review May 24, 2007)

  1. Fig. 1.

    Simple probability space and two different estimators: black point L(1, 1, 1) has probability p 1 and is the ML estimate; gray points have probability p 2 as labeled, with p 2 < p 1 < 2p 2, including C(0, 0, 0), and white, unshaded points have zero probability.


  2. Fig. 2.

    Multidimensional scaled distribution (A) and histogram of distances to cluster 2 centroid (B) derived from 1,000 representative samples from Sfold for the secondary structure of Dermocarpa sp. ribonuclease P RNA.


Footnotes

  • *To whom correspondence should be addressed. E-mail: Charles_Lawrence{at}brown.edu
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