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Generative Model for Change Point Detection in Dynamic Weighted Graphs

Abstract

Existing methods for graph change point detection focus on binary graphs, limiting their ability to capture the richer information available in weighted graphs. This work introduces a novel algorithm for detecting change points in weighted graphs by combining generative modeling with Group-Fused Lasso. Graphs are represented through low-dimensionallatent vectors, with neural networks modeling their underlying distributions. Specifically, change points are identified as shifts n the distributions of latent vectors, with GroupFused Lasso optimized using the Alternating Direction Method of Multipliers (ADMM). Simulation experiments and real-world applications demonstrate the effectiveness of the proposed method, highlighting the advantages of incorporating edge weights for a deeper understanding of temporal graph dynamics.

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