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The coevolutionary interactions predicted by our algorithm show a strong correlation with physical structure, namely coevolving pairs of residues tend to be in close proximity to each other.

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The figure of compression achieved by our algorithm shows good sensitivity in telling apart veritable families of proteins from spurious blends.

The top feature combinations selected by our algorithm are shown in the last column, in ranked order from more important to less as ''Region:feature type" pairs, where the region and feature types are listed using the code letters defined above.

Those nodes from the AS which were not detected by our algorithm are shown in white in the upper left picture.

Some examples of embryo outlines extracted by our algorithm are shown in Figure 4. Embryo extraction works well in presence of varying illumination (Fig. 4a), when the background is lighter than the foreground (Fig. 4b), in the absence of stain in the embryo (Fig. 4c), and when there are multiple embryos touching each other (Fig. 4d).

The even smaller number of samples for Oberthuer et al. (2006) makes it difficult to obtain good generalized results (Table 2); however, the single interaction validated on the test subset (out of four interactions in total selected by our algorithm) not only shows strong predicting power on both subsets, but also involves two sequences strongly tied to breast cancer in literature.

Extensive tests verify that the states generated by our algorithm are stable states and show the exponential storage capacity of a HNN.

Further, by implementing our algorithm, simulations show successful recovery of signals with sparsity levels similar to those possible by matching pursuit with random measurements.

Furthermore, the GD values obtained by the algorithm show that its Pareto frontiers have better convergence to the optimal Pareto frontier (represented by the P F reference).

We demonstrate our algorithm by showing three inversion results for synthetic data.

Images produced by their algorithm, shown in the center column, are much closer to high-resolution scans shown in the right column.

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