Research Article

The Data Big Bang and the Expanding Digital Universe: High-Dimensional, Complex and Massive Data Sets in an Inflationary Epoch

Figure 8

Testing the algorithm on synthetic data. A simulated three-dimensional set of a thousand uniformly distributed random points with a double-diamond pattern created by assigning large weights to the edges connecting the points in the pattern (while the rest of the weights are negligible). (a) and (b): two screen shots from a running animation—each point in the set oscillates (in this case in three dimensions) with its own, random frequency. (c) Synchronization of the points that are connected with high-weight edges allows to reveal the pattern visually (to avoid extra clutter, the edges are not displayed in the animation), or automatically, by selecting synchronized points and highlighting them.
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(a)
350891.fig.008b
(b)
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(c)