74 citations · 136 across the 21 of their papers we have counts for
26 papers
A Sharp Signal-to-Noise Threshold for Quasi-Maximum Likelihood Breakpoint Estimation
Hubeyb Gurdogan, Georg Menz
We establish a sharp pathwise signal-to-noise criterion for quasi-maximum-likelihood (QML) estimation of a dominant breakpoint in the second-moment structure of a multivariate time…
Non-conservative optimal transport
Gabriela Kováčová, Georg Menz, Niket Patel
Motivated by optimal re-balancing of a portfolio, we formalize an optimal transport problem in which the transported mass is scaled by a mass-change factor depending on the source…
Applications of Online Nonnegative Matrix Factorization to Image and Time-Series Data
Hanbaek Lyu, Georg Menz, Deanna Needell +1
Online nonnegative matrix factorization (ONMF) is a matrix factorization technique in the online setting where data are acquired in a streaming fashion and the matrix factors are u…
Hydrodynamic limit of the Kawasaki dynamics on the 1D-lattice with strong, finite-range interaction
Younghak Kwon, Georg Menz, Kyeongsik Nam
We derive the hydrodynamic limit of the Kawasaki dynamics for the one-dimensional conservative system of unbounded real-valued spins with arbitrary strong, quadratic and finite-ran…
COVID-19 Time-series Prediction by Joint Dictionary Learning and Online NMF
Hanbaek Lyu, Christopher Strohmeier, Georg Menz +1
Predicting the spread and containment of COVID-19 is a challenge of utmost importance that the broader scientific community is currently facing. One of the main sources of difficul…
Equivalence of the grand canonical ensemble and the canonical ensemble on 1d-lattice systems
Younghak Kwon, Jaehun Lee, Georg Menz
We consider a one-dimensional lattice system of unbounded, real-valued spins with arbitrary strong, quadratic, finite-range interaction. We show the equivalence of the grand canoni…
Deducing a variational principle with minimal a priori assumptions
Andrew Krieger, Georg Menz, Martin Tassy
We study the well-known variational and large deviation principle for graph homomorphisms from to . We provide a robust method to deduce those principles…
Metastability in a continuous mean-field model at low temperature and strong interaction
Kaveh Bashiri, Georg Menz
We consider a system of mean-field interacting stochastic differential equations that are driven by a single-site potential of double-well form and by Brownian…
Ergodicity of the infinite swapping algorithm at low temperature
Georg Menz, André Schlichting, Wenpin Tang +1
Sampling Gibbs measures at low temperatures is an important task but computationally challenging. Numerical evidence suggests that the infinite-swapping algorithm (isa) is a promis…
Toward a quantitative theory of the hydrodynamic limit
Deniz Dizdar, Georg Menz, Felix Otto +1
This article provides non-trivial technical ingredients for the article "The quantitative hydrodynamic limit of the Kawasaki dynamics" by the same authors. In that work a quantitat…
The quantitative hydrodynamic limit of the Kawasaki dynamics
Deniz Dizdar, Georg Menz, Felix Otto +1
We derive for the first time in the literature a rate of convergence in the hydrodynamic limit of the Kawasaki dynamics for a one-dimensional lattice system. We use an adaptation o…
Uniform LSI for the canonical ensemble on the 1d-lattice with strong, finite-range interaction
Younghak Kwon, Georg Menz
We consider a one-dimensional lattice system of unbounded, real-valued spins with arbitrary strong, quadratic, finite-range interaction. We show that the canonical ensemble (ce) sa…
Decay of correlations and uniqueness of the infinite-volume Gibbs measure of the canonical ensemble of 1d-lattice systems
Younghak Kwon, Georg Menz
We consider a one-dimensional lattice system of unbounded, real-valued spins with arbitrary strong, quadratic, finite-range interaction. We show the equivalence of correlations of…
Homogenization of the variational principle for discrete random maps
Andrew Krieger, Georg Menz, Martin Tassy
We consider homogenization of random surfaces and study the variational principle for graph homomorphisms from subsets of into , where the underlying uni…
Strict convexity of the free energy of the canonical ensemble under decay of correlations
Younghak Kwon, Georg Menz
We consider a one-dimensional lattice system of unbounded, real-valued spins. We allow arbitrary strong, attractive, nearest-neighbor interaction. We show that the free energy of t…
A robust quantitative local central limit theorem with applications to enumerative combinatorics and random combinatorial structures
Stephen DeSalvo, Georg Menz
A useful heuristic in the understanding of large random combinatorial structures is the Arratia-Tavare principle, which describes an approximation to the joint distribution of comp…
A variational principle for a non-integrable model
Georg Menz, Martin Tassy
We develop a new robust technique to deduce variance principles for non-integrable discrete systems. To illustrate this technique, we show the existence of a variational principle…
Ricci curvature bounds for weakly interacting Markov chains
Matthias Erbar, Christopher Henderson, Georg Menz +1
We establish a general perturbative method to prove entropic Ricci curvature bounds for interacting stochastic particle systems. We apply this method to obtain curvature bounds in…
Equivalence of a mixing condition and the LSI in spin systems with infinite range interaction
Christopher Henderson, Georg Menz
We investigate unbounded continuous spin-systems with infinite-range interactions. We develop a new technique for deducing decay of correlations from a uniform Poincaré inequality…
Hydrodynamic limit for conservative spin systems with super-quadratic, partially inhomogeneous single-site potential
Max Fathi, Georg Menz
We consider an interacting unbounded spin system, with conservation of the mean spin. We derive quantitative rates of convergence to the hydrodynamic limit provided the single-site…
Approximate tensorization of entropy at high temperature
Pietro Caputo, Georg Menz, Prasad Tetali
We show that for weakly dependent random variables the relative entropy functional satisfies an approximate version of the standard tensorization property which holds in the indepe…
A Brascamp-Lieb type covariance estimate
Georg Menz
In this article, we derive a new covariance estimate. The estimate has a similar structure as the Brascamp-Lieb inequality and is optimal for ferromagnetic Gaussian measures. It ca…
Decay of correlations in 1D lattice systems of continuous spins and long-range interaction
Georg Menz, Robin Nittka
We consider an one-dimensional lattice system of unbounded and continuous spins. The Hamiltonian consists of a perturbed strictly-convex single-site potential and with longe-range…
The approach of Otto-Reznikoff revisited
Georg Menz
In this article we consider a lattice system of unbounded continuos spins. Otto & Reznikoff used the two-scale approach to show that exponential decay of correlations yields a loga…