| G |
Undirected graph of social network topology |
| n |
Amount of agents in social network and the amount of inputs for k-WTA model |
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\begin{document}$$a_i$$\end{document}
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Agents set and its elements |
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\begin{document}$$\mathscr {E}$$\end{document} |
Edges set |
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\begin{document}$$m_{i,j}$$\end{document}
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Adjacent matrix and its elements |
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\begin{document}$$w_{i,j}$$\end{document} |
Weight of edge |
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\begin{document}$${N}_i$$\end{document} |
Neighbor set of ith agent |
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\begin{document}$$h_{i,j}$$\end{document}
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The Laplacian matrix and its elements |
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The estimation of state of whole network and its derivative |
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\begin{document}$$\alpha , \gamma , \lambda , \beta, \rho$$\end{document} |
Coefficients |
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\begin{document}$$u_i(t)$$\end{document} |
External input in consensus protocol and the output of the k-WTA model |
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Scalar state of ith agent and its derivative |
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\begin{document}$$o_i(t)$$\end{document} |
Opinion of ith agent |
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Expected state of target problem |
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\begin{document}$$e(\cdot )$$\end{document} |
Function of fitness |
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\begin{document}$$v_i(t)$$\end{document} |
Input of the k-WTA model |
| k |
Amount of winners in social network |
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\begin{document}$$\hat{v}_k(t)$$\end{document} |
The kth largest input |
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\begin{document}$$q_i(t)$$\end{document} |
Auxiliary variable in the k-WTA model |
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\begin{document}$$\Phi _\Omega (\cdot )$$\end{document} |
Output function of the k-WTA model |
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\begin{document}$$\theta (t)$$\end{document} |
Variable coefficient in MGNN model |
