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Effect of place coordinate randomization on the performance of the rank-distance model.

By Anastasios Noulas (321068), Salvatore Scellato (321070), Renaud Lambiotte (321072), Massimiliano Pontil (321074) and Cecilia Mascolo (321076)


<p>On the y-axis we present the KL-divergence, , between the empirically observed distribution of displacements in a city and which is the one obtained by the <i>rank-distance</i> model. On the x-axis the probability of randomization, , is depicted. In order to randomize the spatial distribution of places in a city, we iterate through the associated set of places and the coordinates of a place , are randomized with probability . A new pair of coordinates, , is assigned uniformly and within a pre-specified range, where and . corresponds to the case that the original distribution of displacements within a city is maintained, whereas the opposite extreme where equals means that all places have been randomized. The errors bars correspond to standard deviations across cities.</p

Topics: Ecology, Information and Computing Sciences, Mental Health, randomization, rank-distance
Year: 2013
DOI identifier: 10.1371/journal.pone.0037027.g012
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Provided by: FigShare
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