Found 34 Documents (Results 1–34)
Nonlinear Tikhonov regularization in Hilbert scales with oversmoothing penalty: inspecting balancing principles. (English) Zbl 1523.65046
Jadamba, Baasansuren (ed.) et al., Deterministic and stochastic optimal control and inverse problems. Boca Raton, FL: CRC Press/Science Publishers. 79-111 (2022).
Stochastic gradient descent for linear inverse problems in Hilbert spaces. (English) Zbl 1504.47027
Reviewer: Akhtar Khan (Rochester)
The degree of ill-posedness of composite linear ill-posed problems with focus on the impact of the non-compact Hausdorff moment operator. (English) Zbl 1543.47031
Reviewer: Akhtar Khan (Rochester)
Regularization of linear ill-posed problems involving multiplication operators. (English) Zbl 07495666
Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems in Hilbert scales. (English) Zbl 1396.65097
Reviewer: Xiaolong Qin (Chengdu)
Optimal rates for Lavrentiev regularization with adjoint source conditions. (English) Zbl 1380.65096
Regularizability of ill-posed problems and the modulus of continuity. (English) Zbl 1288.47015
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
Heuristic parameter selection based on functional minimization: optimality and model function approach. (English) Zbl 1278.65083
Reviewer: Robert Plato (Siegen)
Regularization under general noise assumptions. (English) Zbl 1220.47016
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
Sharp converse results for the regularization error using distance functions. (English) Zbl 1229.65091
Reviewer: Mahmoud Annaby (Doha)
Parameter choice methods using minimization schemes. (English) Zbl 1216.65061
Reviewer: Robert Plato (Siegen)
Conjugate gradient regularization under general smoothness and noise assumptions. (English) Zbl 1279.65068
Regularization in Hilbert space under unbounded operators and general source conditions. (English) Zbl 1178.47006
Modulus of continuity for conditionally stable ill-posed problems in Hilbert space. (English) Zbl 1156.47013
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
How general are general source conditions? (English) Zbl 1140.47006
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
Regularization by projection in variable Hilbert scales. (English) Zbl 1141.65033
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
Error bounds for regularization methods in Hilbert scales by using operator monotonicity. (English) Zbl 1121.65060
Reviewer: Teresa Regińska (Warszawa)
Local solutions to inverse problems in geodesy. The impact of the noise covariance structure upon the accuracy of estimation. (English) Zbl 1138.86006
Error bounds for regularization methods in Hilbert scales by using operator monotonicity. (English) Zbl 1192.65062
What do we learn from the discrepancy principle? (English) Zbl 1120.65071
Reviewer: Vladimir Gorbunov (Ul’yanovsk)
Interpolation in variable Hilbert scales with application to inverse problems. (English) Zbl 1116.47014
Reviewer: Martín Argerami (Regina)
The Lepskii principle revisited. (English) Zbl 1095.65045
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
The discretized discrepancy principle under general source conditions. (English) Zbl 1095.65046
Reviewer: Mikhail Yu. Kokurin (Yoshkar-Ola)
Saturation of regularization methods for linear ill-posed problems in Hilbert spaces. (English) Zbl 1080.47016
Reviewer: Bernd Hofmann (Chemnitz)
Discretization strategy for linear ill-posed problems in variable Hilbert scales. (English) Zbl 1045.65048
Filter Results by …
Document Type
- Journal Articles (33)
- Collection Articles (1)
all
top 5
Author
- Mathé, Peter (34)
- Hofmann, Bernd (12)
- Pereverzev, Sergei V. (5)
- Tautenhahn, Ulrich (5)
- Bauer, Frank (2)
- Lu, Shuai (2)
- Plato, Robert (2)
- Blanchard, Gilles (1)
- Boţ, Radu Ioan (1)
- Burger, Steven K. (1)
- Flemming, Jens (1)
- Hofmann, Christopher (1)
- Jin, Qinian (1)
- Kindermann, Stefan (1)
- Rastogi, Abhishake (1)
- Schieck, M. (1)
- Schöne, Nadine (1)
- von Weizsäcker, Heinrich (1)
all
top 5
Serial
- Inverse Probl. (9)
- Math. Comput. (4)
- J. Inverse Ill-Posed Probl. (4)
- Appl. Anal. (3)
- J. Complexity (3)
- SIAM J. Numer. Anal. (2)
- Z. Anal. Anwend. (2)
- Mach. Learn. (1)
- J. Anal. (1)
- ETNA, Electron. Trans. Numer. Anal. (1)
- J. Geod. (1)
- Far East J. Math. Sci. (FJMS) (1)
- SIAM/ASA J. Uncertain. Quantif. (1)