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- W3126758066 abstract "The issue of opinion sharing and formation has received considerable attention in the academic literature, and a few models have been proposed to study this problem. However, existing models are limited to the interactions among nearest neighbors, ignoring those second, third, and higher-order neighbors, despite the fact that higher-order interactions occur frequently in real social networks. In this paper, we develop a new model for opinion dynamics by incorporating long-range interactions based on higher-order random walks. We prove that the model converges to a fixed opinion vector, which may differ greatly from those models without higher-order interactions. Since direct computation of the equilibrium opinion is computationally expensive, which involves the operations of huge-scale matrix multiplication and inversion, we design a theoretically convergence-guaranteed estimation algorithm that approximates the equilibrium opinion vector nearly linearly in both space and time with respect to the number of edges in the graph. We conduct extensive experiments on various social networks, demonstrating that the new algorithm is both highly efficient and effective." @default.
- W3126758066 created "2021-02-15" @default.
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- W3126758066 date "2021-02-06" @default.
- W3126758066 modified "2023-09-27" @default.
- W3126758066 title "Opinion Dynamics Incorporating Higher-Order Interactions" @default.
- W3126758066 cites W3129003155 @default.
- W3126758066 doi "https://doi.org/10.48550/arxiv.2102.03569" @default.
- W3126758066 hasPublicationYear "2021" @default.
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