Transactions on Computational Collective Intelligence XI by Barbara Dunin-Kęplicz, Andrzej Szałas (auth.), Ngoc Thanh

By Barbara Dunin-Kęplicz, Andrzej Szałas (auth.), Ngoc Thanh Nguyen (eds.)

These transactions submit study in computer-based tools of computational collective intelligence (CCI) and their purposes in a variety of fields comparable to the semantic net, social networks, and multi-agent platforms. TCCI strives to hide new methodological, theoretical and sensible points of CCI understood because the type of intelligence that emerges from the collaboration and pageant of many people (artificial and/or natural). the appliance of a number of computational intelligence applied sciences, equivalent to fuzzy platforms, evolutionary computation, neural structures, consensus thought, etc., goals to help human and different collective intelligence and to create new types of CCI in typical and/or synthetic structures. This 11th factor comprises nine rigorously chosen and carefully revised contributions.

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2 State of the Art The AdNN and Its Variants: The AdNN is a network of neurons with weights associated with the edges, a well-defined Present-State/Next-State function, and a well-defined State/Output function. It is composed of N neurons which are topologically arranged as a completely connected graph. N ) at time t, whose values are defined by Equations (1) and (2) respectively. The output of the ith neuron, xi (t), is given by Equation (3), which specifies the so-called Logistic Function. N ηi (t + 1) = kf ηi (t) + wij xj (t), (1) ξi (t + 1) = kr ξi (t) − αxi (t) + ai .

When the Ideal-M-AdNN is presented with a trained pattern (or its noisy version) at the input, it resonates and yields only this pattern at the output periodically. We emphasize that, in this case, no other trained pattern is observed at the output. – When the Ideal-M-AdNN is presented with an untrained pattern at the input, it continues to behave chaotically. In this case, none of the trained patterns is observed at the output - thus yielding the gold standard of chaotic PR. 26 K. Qin and B.

Similarly, we can see that Equation (16) does not have any negative fixed points either. In other words, we conclude that Equation (16) does not have any fixed point. 2. If the system has period-2 points, say y1 and y2 (where y1 = y2 ), we see that these points must satisfy: y2 = ky1 − αf (y1 ) + a y1 = ky2 − αf (y2 ) + a. (17) – If 0 is one of the period-2 points (without loss of generality, y1 = 0, y2 = 0), then we can solve the above equations to yield the two solutions as: 3 Historically, the original form of this equation initially appeared in the paper by Nagumo and Sato [19].

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