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2020 – today
- 2024
[j32]Peter Mathé, Bernd Hofmann:
Tractability of linear ill-posed problems in Hilbert space. J. Complex. 84: 101867 (2024)- [j31]Yuanyuan Li, Shuai Lu, Peter Mathé, Sergei V. Pereverzev
:
Two-layer networks with the ReLUk activation function: Barron spaces and derivative approximation. Numerische Mathematik 156(1): 319-344 (2024) - [i4]Peter Mathé, Bernd Hofmann:
Tractability of linear ill-posed problems in Hilbert space. CoRR abs/2401.09919 (2024) - 2023
- [j30]Abhishake Rastogi, Peter Mathé:
Inverse learning in Hilbert scales. Mach. Learn. 112(7): 2469-2499 (2023) - 2022
- [j29]Shuai Lu, Peter Mathé:
Stochastic gradient descent for linear inverse problems in Hilbert spaces. Math. Comput. 91(336): 1763-1788 (2022) - 2021
- [i3]Bernd Hofmann, Peter Mathé:
The degree of ill-posedness of composite linear ill-posed problems with focus on the impact of the non-compact Hausdorff moment operator. CoRR abs/2111.01036 (2021) - 2020
- [i2]Bernd Hofmann, Christopher Hofmann, Peter Mathé, Robert Plato:
Nonlinear Tikhonov regularization in Hilbert scales with oversmoothing penalty: inspecting balancing principles. CoRR abs/2012.11216 (2020)
2010 – 2019
- 2019
- [j28]Peter Mathé:
Bayesian inverse problems with non-commuting operators. Math. Comput. 88(320): 2897-2912 (2019) - 2018
- [j27]Litao Ding, Peter Mathé:
Minimax Rates for Statistical Inverse Problems Under General Source Conditions. Comput. Methods Appl. Math. 18(4): 603-608 (2018) - [j26]Robert Plato, Peter Mathé, Bernd Hofmann:
Optimal rates for Lavrentiev regularization with adjoint source conditions. Math. Comput. 87(310): 785-801 (2018) - [i1]Shuai Lu, Peter Mathé, Sergiy Pereverzyev Jr.:
Analysis of regularized Nyström subsampling for regression functions of low smoothness. CoRR abs/1806.00826 (2018) - 2017
- [j25]Peter Mathé, Sergei V. Pereverzev:
Complexity of linear ill-posed problems in Hilbert space. J. Complex. 38: 50-67 (2017) - 2014
- [j24]Shuai Lu, Peter Mathé:
Discrepancy based model selection in statistical inverse problems. J. Complex. 30(3): 290-308 (2014) - 2013
- [j23]Qinian Jin, Peter Mathé:
Oracle Inequality for a Statistical Raus-Gfrerer-Type Rule. SIAM/ASA J. Uncertain. Quantification 1(1): 386-407 (2013) - [j22]Shuai Lu, Peter Mathé:
Heuristic parameter selection based on functional minimization: Optimality and model function approach. Math. Comput. 82(283): 1609-1630 (2013) - 2011
- [j21]Frank Bauer, Peter Mathé:
Parameter choice methods using minimization schemes. J. Complex. 27(1): 68-85 (2011)
2000 – 2009
- 2009
- [j20]Peter Mathé, Sergei V. Pereverzev:
The use of higher order finite difference schemes is not dangerous. J. Complex. 25(1): 3-10 (2009) - 2008
- [j19]Peter Mathé, Bernd Hofmann:
Direct and inverse results in variable Hilbert scales. J. Approx. Theory 154(2): 77-89 (2008) - 2007
- [j18]Peter Mathé, Erich Novak:
Simple Monte Carlo and the Metropolis algorithm. J. Complex. 23(4-6): 673-696 (2007) - [j17]Bernd Hofmann, Peter Mathé:
Analysis of Profile Functions for General Linear Regularization Methods. SIAM J. Numer. Anal. 45(3): 1122-1141 (2007) - 2006
- [j16]Peter Mathé, Sergei V. Pereverzev:
The discretized discrepancy principle under general source conditions. J. Complex. 22(3): 371-381 (2006) - [j15]Peter Mathé, Sergei V. Pereverzev:
Regularization of some linear ill-posed problems with discretized random noisy data. Math. Comput. 75(256): 1913-1929 (2006) - 2004
- [j14]Peter Mathé, Gang Wei:
Quasi-Monte Carlo integration over Reald. Math. Comput. 73(246): 827-841 (2004) - [j13]Peter Mathé:
Saturation of Regularization Methods for Linear Ill-Posed Problems in Hilbert Spaces. SIAM J. Numer. Anal. 42(3): 968-973 (2004) - 2002
- [j12]Peter Mathé, Sergei V. Pereverzev:
Stable Summation of Orthogonal Series with Noisy Coefficients. J. Approx. Theory 118(1): 66-80 (2002) - [j11]Peter Mathé, Sergei V. Pereverzev:
Direct Estimation of Linear Functionals from Indirect Noisy Observations. J. Complex. 18(2): 500-516 (2002) - [j10]Fred J. Hickernell, Peter Mathé:
2002 Best Paper Award Committee. J. Complex. 18(3): 681- (2002) - 2001
- [j9]Peter Mathé, Sergei V. Pereverzev:
Optimal Discretization of Inverse Problems in Hilbert Scales. Regularization and Self-Regularization of Projection Methods. SIAM J. Numer. Anal. 38(6): 1999-2021 (2001)
1990 – 1999
- 1999
- [j8]Peter Mathé:
Numerical Integration using Markov Chains. Monte Carlo Methods Appl. 5(4): 325-344 (1999) - 1998
- [j7]Peter Mathé:
Asymptotically Optimal Weighted Numerical Integration. J. Complex. 14(1): 34-48 (1998) - [j6]Peter Mathé:
Relaxation of Product Markov Chains on Product Spaces. J. Complex. 14(3): 319-332 (1998) - 1997
- [j5]Norbert Hofmann, Peter Mathé:
On quasi-Monte Carlo simulation of stochastic differential equations. Math. Comput. 66(218): 573-589 (1997) - 1995
- [j4]Peter Mathé:
The Optimal Error of Monte Carlo Integration. J. Complex. 11(4): 394-415 (1995) - 1993
- [j3]Peter Mathé:
On Optimal Random Nets. J. Complex. 9(1): 171-180 (1993) - 1991
- [j2]Peter Mathé:
Random approximation of Sobolev embeddings. J. Complex. 7(3): 261-281 (1991) - 1990
- [j1]Peter Mathé:
s-Numbers in information-based complexity. J. Complex. 6(1): 41-66 (1990)
Coauthor Index
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