88 citations · 96 across the 13 of their papers we have counts for
Showing math.PRShow all
2 papers · 1 filter
math.PR2024
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…
math.PR2024
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…