29 citations · 74 across the 10 of their papers we have counts for
13 papers
What Does a Discrete Diffusion Model Learn? One Reverse Process in Three Coordinates
Rodrigo Casado Noguerales, Bernhard Schölkopf, Thomas Hofmann +1
What does a discrete diffusion model actually learn? The literature trains denoisers, bridge plug-ins, and concrete scores, each deriving its own ELBO objective under different con…
Mass scaling of the near-critical 2D Ising model using random currents
Frederik Ravn Klausen, Aran Raoufi
We examine the Ising model at its critical temperature with an external magnetic field on for . A new proof of exponential decay of the…
Logarithmic variance for the height function of square-ice
Hugo Duminil-Copin, Matan Harel, Benoit Laslier +2
In this article, we prove that the height function associated with the square-ice model (i.e.~the six-vertex model with on the square lattice), or, equivalently, of the u…
Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature
Hugo Duminil-Copin, Subhajit Goswami, Aran Raoufi
The truncated two-point function of the ferromagnetic Ising model on () in its pure phases is proven to decay exponentially fast throughout the ordered regime…
Existence of phase transition for percolation using the Gaussian Free Field
Hugo Duminil-Copin, Subhajit Goswami, Aran Raoufi +2
In this paper, we prove that Bernoulli percolation on bounded degree graphs with isoperimetric dimension undergoes a non-trivial phase transition (in the sense that ).…
Subcritical phase of -dimensional Poisson-Boolean percolation and its vacant set
Hugo Duminil-Copin, Aran Raoufi, Vincent Tassion
We prove that the Poisson-Boolean percolation on undergoes a sharp phase transition in any dimension under the assumption that the radius distribution has a f…