280 citations · 298 across the 6 of their papers we have counts for
6 papers
Bucket Renormalization for Approximate Inference
Sungsoo Ahn, Michael Chertkov, Adrian Weller +1
Probabilistic graphical models are a key tool in machine learning applications. Computing the partition function, i.e., normalizing constant, is a fundamental task of statistical i…
Geometric Universality of Currents
V. Y. Chernyak, M. Chertkov, N. A. Sinitsyn
We discuss a non-equilibrium statistical system on a graph or network. Identical particles are injected, interact with each other, traverse, and leave the graph in a stochastic man…
Planar Graphical Models which are Easy
Vladimir Y. Chernyak, Michael Chertkov
We describe a rich family of binary variables statistical mechanics models on a given planar graph which are equivalent to Gaussian Grassmann Graphical models (free fermions) defin…
Statistics of Polymer Extension in a Random Flow with Mean Shear
M. Chertkov, I. Kolokolov, V. Lebedev +1
Considering the dynamics of a polymer with finite extensibility placed in a chaotic flow with large mean shear, we explain how the statistics of polymer extension changes with Weis…
Tumbling of Polymers in a Random Flow with Mean Shear
M. Chertkov, I. Kolokolov, V. Lebedev +1
A polymer placed in chaotic flow with large mean shear tumbles, making a-periodic flips. We describe the statistics of angular orientation, as well as of tumbling time (separating…
Normal and Anomalous Scaling of the Fourth-Order Correlation Function of a Randomly Advected Passive Scalar
M. Chertkov, G. Falkovich, I. Kolokolov +1
For a delta-correlated velocity field, simultaneous correlation functions of a passive scalar satisfy closed equations. We analyze the equation for the four-point function. To desc…