3 papers
math.CO2026
A formal framework for higher-order spin models via hypergraphs, polymatroids, and the Tutte polynomial
Khallil Berrekkal, Joanna A. Ellis-Monaghan, Merijn Moody +1
We develop a rigorous mathematical framework for statistical mechanics models on hypergraphs, and give conditions for lifting the classical connection between Potts model partition…
stat.ME2026
Modeling Discrete Data with High-Order Vector Potts Models
Aaron De Clercq, Merijn Moody, Clélia de Mulatier
Modeling high-dimensional data is challenging, yet essential to understanding many complex systems. Maximum entropy models such as Ising and Potts models have been used extensively…
cs.IT2026
Abstract Markov Random Fields
Leon Lang, Clélia de Mulatier, Rick Quax +1
Markov random fields are known to be fully characterized by properties of their information diagrams, or I-diagrams. In particular, for Markov random fields, regions in the I-diagr…