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Bibliographic Details
Main Authors: Kim, Seongmin, Kirkley, Alec
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2510.19231
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Table of Contents:
  • Belief Propagation (BP) is an efficient message-passing algorithm widely used for inference in graphical models and for solving various problems in statistical physics. However, BP often yields inaccurate estimates of order parameters and their susceptibilities in finite systems, particularly in sparse networks with few loops. Here, we show for both percolation and Ising models that fixing the state of a single well-connected "source" node to break global symmetry substantially improves inference accuracy and captures finite-size effects across a broad range of networks, especially tree-like ones, at no additional computational cost.