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The paper presents a method for sampling SU(N) gauge theory on a two‑dimensional lattice by independently generating plaquette holonomies and then reweighting configurations to satisfy consistency at lattice corners. By reformulating the Wilson action in terms of holonomy variables, the authors reduce the problem to sampling pairs of SU(N) matrices conditioned on their commutator, for which they derive closed‑form densities for SU(2) and SU(3). They demonstrate high per‑plaquette acceptance rates (>99%) and moderate effective sample sizes on both small (2×2) and large (32×32) lattices using normalizing flows and closed‑form samplers.
arXiv:2510.06848v3 Announce Type: replace-cross Abstract: Bell sampling is a simple yet powerful tool based on measuring two copies of a quantum state in the Bell basis, and has found applications in...
arXiv:2605. 27770v2 Announce Type: cross Abstract: We introduce `dualGNN', an autoregressive message-passing GNN for sampling fine, regular triangulations (FRTs) of convex polytopes.
The paper presents numerical evidence that topological freezing in SU(3) Yang‑Mills theory can be reduced using a flow‑based method. By combining open boundary conditions with Stochastic Normalizing Flows, the authors analyze how computational costs scale at lattice spacings as fine as 0.03 fm. They find that both the integrated autocorrelation time of the squared topological charge and the statistical uncertainty on the topological susceptibility stay under control across the explored parameter range with current computational resources.
arXiv:2609.08873v1 Announce Type: cross Abstract: Sparsity is a powerful structural resource in optimization and statistics. We develop frameworks for leveraging sparsity in sampling problems over th...
arXiv:2606. 03003v1 Announce Type: cross Abstract: A latent world model built from an equivariant encoder $E$ and an equivariant predictor $f$ inherits a provable symmetry of its training loss: when the world's dynamics genuinely carries a group $G$ acting on latents by an orthogonal representation $\rho(g)$, the one-step prediction relMSE is exactly invariant across the whole group, so fitting the dynamics on a restricted slice of orientations mathematically determines it on the entire orbit (j\v{u} y\=i f\v{a}n s\=an).