Reproduce “Approximate inference on planar graphs using Loop Calculus and Belief Propagation” on OpenResearch
Turn your favorite coding agents into research agents that review literature, develop hypotheses, and run experiments.
Universal app for Apple silicon and Intel. Requires macOS 11 or later.
About this paper
V. Gómez, H. J. Kappen, M. Chertkov
The authors use planar graph structure to improve belief propagation estimates of partition functions. They sum all 2-regular loop corrections through a matching calculation expressed as a Pfaffian, rather than enumerating loops individually. On tested radial graphs, median error can be over two orders smaller than CVM-Loop4’s and over three than BP’s; with nonzero fields, this remains an approximation.
Summary by alphaXiv.
Tip: change arxiv.org to autoarxiv.org in any arXiv abstract link to open the paper here.