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Flow-based methods represent a promising approach to accelerating Monte Carlo calculations in lattice field theory. The first part of this talk reviews the formulation of Stochastic Normalizing Flows within the framework of non-equilibrium Monte Carlo simulations, in particular as a strategy to address critical slowing down. We outline a method to mitigate topological freezing in SU(3) pure gauge theory and present preliminary results at fine lattice spacings. The second part instead focuses on a novel variance reduction technique: we introduce a flow-based framework that recasts the notorious signal-to-noise ratio problem in terms of infinitesimal flows, together with some early results in $\phi^4$ scalar field theory.
BicQCD