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The global minima of the communicative energy of natural communication systems

Ramon Ferrer i Cancho and Albert Díaz-Guilera

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Figure 1

Figure 1. Some mappings between signals (white circles) and stimuli (black circles) that are minima of H(S) and H(S|R) with n = 3 signals and m = 9 stimuli. (a)–(c) are minima of model A while (c) is the only valid minima of model B.



Figure 2

Figure 2. Some mappings between signals (white circles) and stimuli (black circles) that achieve maximum I(SR) with n = 3 signals and m = 9 stimuli. This mappings also achieve minimum H(S|R).



Figure 3

Figure 3. A one-to-one mapping between n = 6 signals (white circles) and m = 6 stimuli (black circles). This configuration achieves maximum I(SR).




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