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Inferring Dynamic Hidden Graph Structure in Heterogeneous Correlated Time Series

2025/12/01 by Mohan, Jeshwanth, Ramsundar, Bharath, Subramanian, Sandya
#FOS: Computer and information sciences #FOS: Electrical engineering #Methodology (stat.ME) #Signal Processing (eess.SP) #electronic engineering #information engineering

paper · doi:10.48550/arxiv.2512.01301

Abstract

Modeling heterogeneous correlated time series requires the ability to learn hidden dynamic relationships between component time series with possibly varying periodicities and generative processes. To address this challenge, we formulate and evaluate a windowed variance-correlation metric (WVC) designed to quantify time-varying correlations between signals. This method directly recovers hidden relationships in an specified time interval as a weighted adjacency matrix, consequently inferring hidden dynamic graph structure. On simulated data, our method captures correlations that other methods miss. The proposed method expands the ability to learn dynamic graph structure between significantly different signals within a single cohesive dynamical graph model.

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