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20142020
most citedOptimal quasi-Monte Carlo rules on order 2 digital nets for the numerical integration of multivariate periodic functions

25 citations · 25 across the 5 of their papers we have counts for

collaborators

7 papers

stat.ME2020

Sparse tensor product approximation for a class of generalized method of moments estimators

Alexandros Gilch, Michael Griebel, Jens Oettershagen

Generalized Method of Moments (GMM) estimators in their various forms, including the popular Maximum Likelihood (ML) estimator, are frequently applied for the evaluation of complex…

econ.EM2019

Maximum Approximated Likelihood Estimation

Michael Griebel, Florian Heiss, Jens Oettershagen +1

Empirical economic research frequently applies maximum likelihood estimation in cases where the likelihood function is analytically intractable. Most of the theoretical literature…

cs.LG2018

Optimally rotated coordinate systems for adaptive least-squares regression on sparse grids

Bastian Bohn, Michael Griebel, Jens Oettershagen

For low-dimensional data sets with a large amount of data points, standard kernel methods are usually not feasible for regression anymore. Besides simple linear models or involved…

math.NA2018

Numerical performance of optimized Frolov lattices in tensor product reproducing kernel Sobolev spaces

Christopher Kacwin, Jens Oettershagen, Mario Ullrich +1

In this paper, we deal with several aspects of the universal Frolov cubature method, that is known to achieve optimal asymptotic convergence rates in a broad range of function spac…

math.NA2016

On the orthogonality of the Chebyshev-Frolov lattice and applications

Christopher Kacwin, Jens Oettershagen, Tino Ullrich

We deal with lattices that are generated by the Vandermonde matrices associated to the roots of Chebyshev-polynomials. If the dimension of the lattice is a power of two, i.e. $…

math.NA2015★ 25 cited

Optimal quasi-Monte Carlo rules on order 2 digital nets for the numerical integration of multivariate periodic functions

Aicke Hinrichs, Lev Markhasin, Jens Oettershagen +1

We investigate quasi-Monte Carlo rules for the numerical integration of multivariate periodic functions from Besov spaces with dominating mixed smoothnes…

math.NA2014

Optimal point sets for quasi-Monte Carlo integration of bivariate periodic functions with bounded mixed derivatives

Aicke Hinrichs, Jens Oettershagen

We investigate quasi-Monte Carlo (QMC) integration of bivariate periodic functions with dominating mixed smoothness of order one. While there exist several QMC constructions which…