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We consider a dynamic network of individuals that may hold one of two different opinions in a two-party society. As a dynamical model, agents can endlessly create and delete links to satisfy a preferred degree, and the network is shaped by homophily, a form of social interaction. Characterized by the parameter J ∈ [−1,1], the latter plays a role similar to Ising spins: agents create links to others of the same opinion with probability (1 + J)/2, and delete them with probability (1 − J)/2. Using Monte Carlo simulations and mean field theory, we focus on the network structure in the steady state. We study the effects of J on degree distributions and the fraction of cross-party links. While the extreme cases of homophily or heterophily (J = ±1) are easily understood to result in complete polarization or anti-polarization, intermediate values of J lead to interesting features of the network. Our model exhibits the intriguing feature of an "overwhelming transition" occurring when communities of different sizes are subject to sufficient heterophily: agents of the minority group are oversubscribed and their average degree greatly exceeds that of the majority group. In addition, we introduce a novel measure of polarization which displays distinct advantages over the commonly used average edge homogeneity.

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This is a repository copy of Deep Learning Based Underwater Acoustic OFDM Communications.