activity
20042023
most citedEmpirical Bernstein Bounds and Sample Variance Penalization

221 citations · 609 across the 22 of their papers we have counts for

collaborators

24 papers

cs.LG2023

Generalization for slowly mixing processes

Andreas Maurer

A bound uniform over various loss-classes is given for data generated by stationary and phi-mixing processes, where the mixing time (the time needed to obtain approximate independe…

math.ST2022★ 2 cited

Exponential finite sample bounds for incomplete U-statistics

Andreas Maurer

Incomplete U-statistics have been proposed to accelerate computation. They use only a subset of the subsamples required for kernel evaluations by complete U-statistics. This paper…

math.ST2022

Concentration of the missing mass in metric spaces

Andreas Maurer

We study the estimation and concentration on its expectation of the probability to observe data further than a specified distance from a given iid sample in a metric space. The pro…

cs.LG2022★ 16 cited

Learning Dynamical Systems via Koopman Operator Regression in Reproducing Kernel Hilbert Spaces

Vladimir Kostic, Pietro Novelli, Andreas Maurer +3

We study a class of dynamical systems modelled as Markov chains that admit an invariant distribution via the corresponding transfer, or Koopman, operator. While data-driven algorit…

math.PR2021

Some Hoeffding- and Bernstein-type Concentration Inequalities

Andreas Maurer, Massimiliano Pontil

We prove concentration inequalities for functions of independent random variables {under} sub-gaussian and sub-exponential conditions. The utility of the inequalities is demonstrat…

cs.LG2020★ 1 cited

Robust Unsupervised Learning via L-Statistic Minimization

Andreas Maurer, Daniela A. Parletta, Andrea Paudice +1

Designing learning algorithms that are resistant to perturbations of the underlying data distribution is a problem of wide practical and theoretical importance. We present a genera…