88 citations · 96 across the 13 of their papers we have counts for
6 papers · 1 filter
Designing Mechanical Meta-Materials by Learning Equivariant Flows
Mehran Mirramezani, Anne S. Meeussen, Katia Bertoldi +2
Mechanical meta-materials are solids whose geometric structure results in exotic nonlinear behaviors that are not typically achievable via homogeneous materials. We show how to dra…
Slow rates of approximation of U-statistics and V-statistics by quadratic forms of Gaussians
Kevin Han Huang, Peter Orbanz
We construct examples of degree-two U- and V-statistics of i.i.d.~heavy-tailed random vectors in , whose -th moments exist for , and provide tight…
Gaussian universality for approximately polynomial functions of high-dimensional data
Kevin Han Huang, Morgane Austern, Peter Orbanz
Gaussian universality results assert that the properties of many estimators remain unchanged when the input data are replaced by Gaussians. Such results have gained popularity in h…
Global optimality under amenable symmetry constraints
Peter Orbanz
Consider a convex function that is invariant under an group of transformations. If it has a minimizer, does it also have an invariant minimizer? Variants of this problem appear in…
The Graph Pencil Method: Mapping Subgraph Densities to Stochastic Block Models
Lee M Gunderson, Gecia Bravo-Hermsdorff, Peter Orbanz
In this work, we describe a method that determines an exact map from a finite set of subgraph densities to the parameters of a stochastic block model (SBM) matching these densities…
Poisson approximation for stochastic processes summed over amenable groups
Haoyu Ye, Peter Orbanz, Morgane Austern
We generalize the Poisson limit theorem to binary functions of random objects whose law is invariant under the action of an amenable group. Examples include stationary random field…