5 papers
Path convergence in diffusion models
Roi Holtzman, Roman Beauvallet, Werner Krauth
We discuss diffusion-model paths interpolating between a target distribution known only through p patterns and a reference distribution that can be sampled. These interpolating pat…
Lifting the fog - a case for non-reversible "lifted" Markov chains
Gabriele Tartero, Sora Shiratani, Werner Krauth
Phase transitions appear all over science, and are familiar from everyday life, as water boiling, sugar melting into caramel or as nematic molecules turning smectic in liquid-cryst…
Thermodynamic integration, fermion sign problem, and real-space renormalization
Koka Sathwik, Werner Krauth
We reconsider real-space renormalization for the two-dimensional Ising model, following the path traced out by Wilson in Sect. VI of his 1975 Reviews of Modern Physics. In that ref…
Velocity trapping in the lifted TASEP and the true self-avoiding random walk
Brune Massoulié, Clément Erignoux, Cristina Toninelli +1
We discuss non-reversible Markov-chain Monte Carlo algorithms that, for particle systems, rigorously sample the positional Boltzmann distribution and that have faster than physical…
Lifted TASEP: long-time dynamics,generalizations, and continuum limit
Fabian H. L. Essler, Jeanne Gipouloux, Werner Krauth
We investigate the lifted TASEP and its generalization, the GL-TASEP. We analyze the spectral properties of the transition matrix of the lifted TASEP using its Bethe ansatz solutio…