s-Numbers in information-based complexity. - Peter Mathé (J. Complex., 1990)

Random approximation of Sobolev embeddings. - Peter Mathé (J. Complex., 1991)

On Optimal Random Nets. - Peter Mathé (J. Complex., 1993)

The Optimal Error of Monte Carlo Integration. - Peter Mathé (J. Complex., 1995)

On quasi-Monte Carlo simulation of stochastic differential equations. - Norbert Hofmann; Peter Mathé (Math. Comput., 1997)

Asymptotically Optimal Weighted Numerical Integration. - Peter Mathé (J. Complex., 1998)

Relaxation of Product Markov Chains on Product Spaces. - Peter Mathé (J. Complex., 1998)

Numerical Integration using Markov Chains. - Peter Mathé (Monte Carlo Methods Appl., 1999)

Optimal Discretization of Inverse Problems in Hilbert Scales. Regularization and Self-Regularization of Projection Methods. - Peter Mathé; Sergei V. Pereverzev (SIAM J. Numer. Anal., 2001)

Stable Summation of Orthogonal Series with Noisy Coefficients. - Peter Mathé; Sergei V. Pereverzev (J. Approx. Theory, 2002)

2002 Best Paper Award Committee. - Fred J. Hickernell; Peter Mathé (J. Complex., 2002)

Direct Estimation of Linear Functionals from Indirect Noisy Observations. - Peter Mathé; Sergei V. Pereverzev (J. Complex., 2002)

Quasi-Monte Carlo integration over Reald. - Peter Mathé; Gang Wei (Math. Comput., 2004)

Saturation of Regularization Methods for Linear Ill-Posed Problems in Hilbert Spaces. - Peter Mathé (SIAM J. Numer. Anal., 2004)

The discretized discrepancy principle under general source conditions. - Peter Mathé; Sergei V. Pereverzev (J. Complex., 2006)

Regularization of some linear ill-posed problems with discretized random noisy data. - Peter Mathé; Sergei V. Pereverzev (Math. Comput., 2006)

Simple Monte Carlo and the Metropolis algorithm. - Peter Mathé; Erich Novak (J. Complex., 2007)

Analysis of Profile Functions for General Linear Regularization Methods. - Bernd Hofmann 001; Peter Mathé (SIAM J. Numer. Anal., 2007)

Direct and inverse results in variable Hilbert scales. - Peter Mathé; Bernd Hofmann 001 (J. Approx. Theory, 2008)

The use of higher order finite difference schemes is not dangerous. - Peter Mathé; Sergei V. Pereverzev (J. Complex., 2009)

Parameter choice methods using minimization schemes. - Frank Bauer; Peter Mathé (J. Complex., 2011)

Oracle Inequality for a Statistical Raus-Gfrerer-Type Rule. - Qinian Jin; Peter Mathé (SIAM/ASA J. Uncertain. Quantification, 2013)

Heuristic parameter selection based on functional minimization: Optimality and model function approach. - Shuai Lu; Peter Mathé (Math. Comput., 2013)

Discrepancy based model selection in statistical inverse problems. - Shuai Lu; Peter Mathé (J. Complex., 2014)

Complexity of linear ill-posed problems in Hilbert space. - Peter Mathé; Sergei V. Pereverzev (J. Complex., 2017)

Minimax Rates for Statistical Inverse Problems Under General Source Conditions. - Litao Ding; Peter Mathé (Comput. Methods Appl. Math., 2018)

Analysis of regularized Nyström subsampling for regression functions of low smoothness. - Shuai Lu; Peter Mathé; Sergiy Pereverzyev Jr. (CoRR, 2018)

Optimal rates for Lavrentiev regularization with adjoint source conditions. - Robert Plato; Peter Mathé; Bernd Hofmann 001 (Math. Comput., 2018)

Bayesian inverse problems with non-commuting operators. - Peter Mathé (Math. Comput., 2019)

Nonlinear Tikhonov regularization in Hilbert scales with oversmoothing penalty: inspecting balancing principles. - Bernd Hofmann 001; Christopher Hofmann; Peter Mathé; Robert Plato (CoRR, 2020)

The degree of ill-posedness of composite linear ill-posed problems with focus on the impact of the non-compact Hausdorff moment operator. - Bernd Hofmann 001; Peter Mathé (CoRR, 2021)

Stochastic gradient descent for linear inverse problems in Hilbert spaces. - Shuai Lu; Peter Mathé (Math. Comput., 2022)

Inverse learning in Hilbert scales. - Abhishake Rastogi; Peter Mathé (Mach. Learn., 2023)

Comparing the ill-posedness for linear operators in Hilbert spaces. - Peter Mathé; Bernd Hofmann 001 (CoRR, 2024)

Tractability of linear ill-posed problems in Hilbert space. - Peter Mathé; Bernd Hofmann 001 (J. Complex., 2024)

Two-layer networks with the ReLUk activation function: Barron spaces and derivative approximation. - Yuanyuan Li; Shuai Lu; Peter Mathé; Sergei V. Pereverzev (Numerische Mathematik, 2024)

Interpolation and inverse problems in spectral Barron spaces. - Shuai Lu; Peter Mathé (CoRR, 2025)