A temperature-conditioned diffusion model trained on small XY lattices produces accurate larger-lattice samples and cuts MCMC thermalization time by roughly 10x.
Some generalized order-disorder transformations
4 Pith papers cite this work. Polarity classification is still indexing.
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Generalizes exponential slow mixing of Glauber dynamics from Ising to multi-state Potts models and gives a polymer-model based deterministic approximation algorithm for the partition function on random regular bipartite graphs in the low-temperature non-uniqueness regime.
A minimal explicit-solvent lattice model with quenched disorder produces UCST, closed-loop, and reentrant phase transitions plus complex morphologies in protein solutions and binary mixtures, modulated by interaction parameters.
Thesis uses statistical mechanics to study DAM and RBM models for understanding memorization, low-dimensional learning, and adversarial robustness in neural networks.
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Counting and Sampling Anti-Ferromagnetic Potts Models on Random Regular Bipartite Graphs in the Non-uniqueness Regime
Generalizes exponential slow mixing of Glauber dynamics from Ising to multi-state Potts models and gives a polymer-model based deterministic approximation algorithm for the partition function on random regular bipartite graphs in the low-temperature non-uniqueness regime.