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math.PR2025
Reconstructing the Probability Measure of a Curie-Weiss Model Observing the Realisations of a Subset of Spins
Miguel Ballesteros, Ivan Naumkin, Gabor Toth
We study the problem of reconstructing the probability measure of the Curie-Weiss model from a sample of the voting behaviour of a subset of the population. While originally used t…
math.PR2025
Reconstruction of the Probability Measure and the Coupling Parameters in a Curie-Weiss Model
Miguel Ballesteros, Ramsés H. Mena, Arno Siri-Jégousse +1
The Curie-Weiss model is used to study phase transitions in statistical mechanics and has been the object of rigorous analysis in mathematical physics. We analyse the problem of re…
math.PR2023
Detection of an Arbitrary Number of Communities in a Block Spin Ising Model
Miguel Ballesteros, Ramsés H. Mena, José Luis Pérez +1
We study the problem of community detection in a general version of the block spin Ising model featuring M groups, a model inspired by the Curie-Weiss model of ferromagnetism in st…