Sparse Bayesian Learning for Sequential Inference of Network Connectivity From Small Data

Wan, Jinming

doi:10.1109/TNSE.2024.3471852

Sparse Bayesian Learning for Sequential Inference of Network Connectivity From Small Data

2024-11-01

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DOI：10.1109/TNSE.2024.3471852

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While significant efforts have been attempted in the design, control, and optimization of complex networks, most existing works assume the network structure is known or readily available. However, the network topology can be radically recast after an adversarial attack and may remain unknown for subsequent analysis. In this work, we propose a novel Bayesian sequential learning approach to reconstruct network connectivity adaptively: A sparse Spike and Slab prior is placed on connectivity for all edges, and the connectivity learned from reconstructed nodes will be used to select the next node and update the prior knowledge. Central to our approach is that most realistic networks are sparse, in that the connectivity degree of each node is much smaller compared to the number of nodes in the network. Sequential selection of the most informative nodes is realized via the between-node expected improvement. We corroborate this sequential Bayesian approach in connectivity recovery for a synthetic ultimatum game network and the IEEE-118 power grid system. Results indicate that only a fraction (similar to 50%) of the nodes need to be interrogated to reveal the network topology.

Keyword:

Network reconstruction

inverse problem

network inference

spike and slab

sequential node selection

Network reconstruction

inverse problem

network inference

spike and slab

sequential node selection

Sparse Bayesian Learning for Sequential Inference of Network Connectivity From Small Data

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