132 citations · 898 across the 50 of their papers we have counts for
50 papers
Partition function zeros of zeta-urns
P. Bialas, Z. Burda, D. A. Johnston
We discuss the distribution of partition function zeros for the grand-canonical ensemble of the zeta-urn model, where tuning a single parameter can give a first or any higher order…
Training normalizing flows with computationally intensive target probability distributions
Piotr Bialas, Piotr Korcyl, Tomasz Stebel
Machine learning techniques, in particular the so-called normalizing flows, are becoming increasingly popular in the context of Monte Carlo simulations as they can effectively appr…
Rényi Entropy of Zeta-Urns
Piotr Bialas, Zdzislaw Burda, Desmond A. Johnston
We calculate analytically the Renyi entropy for the zeta-urn model with a Gibbs measure definition of the micro-state probabilities. This allows us to obtain the singularities in t…
On Random Allocation Models in the Thermodynamic Limit
Piotr Bialas, Zdzislaw Burda, Desmond A. Johnston
We discuss the phase transition and critical exponents in the random allocation model (urn model) for different statistical ensembles. We provide a unified presentation of the stat…
Mutual information of spin systems from autoregressive neural networks
Piotr Białas, Piotr Korcyl, Tomasz Stebel
We describe a new direct method to estimate bipartite mutual information of a classical spin system based on Monte Carlo sampling enhanced by autoregressive neural networks. It all…
Simulating first-order phase transition with hierarchical autoregressive networks
Piotr Białas, Paulina Czarnota, Piotr Korcyl +1
We apply the Hierarchical Autoregressive Neural (HAN) network sampling algorithm to the two-dimensional -state Potts model and perform simulations around the phase transition at…