Bernd Hofmann

发表

On ℓ1-Regularization in Light of Nashed's Ill-Posedness Concept

Jens Flemming, Bernd Hofmann, Ivan Veselic, 2015, Comput. Methods Appl. Math..

Regularization of Deterministic Discretized Inverse Problems

Bernd Hofmann, B. Hofmann, 1986 .

Regularization of an autoconvolution problem in ultrashort laser pulse characterization

Bernd Hofmann, Daniel Gerth, Simon Birkholz, 2013, 1301.6061.

Two new non-negativity preserving iterative regularization methods for ill-posed inverse problems pdf

Ye Zhang, Bernd Hofmann, 2020, ArXiv.

Analysis of Profile Functions for General Linear Regularization Methods

Bernd Hofmann, Peter Mathé, 2007, SIAM J. Numer. Anal..

Regularization Methods in Banach Spaces

Barbara Kaltenbacher, Thomas Schuster, Bernd Hofmann, 2012, Radon Series on Computational and Applied Mathematics.

A Regularized Variational Inequality Approach for Nonlinear Monotone Ill-Posed Equations

Bernd Hofmann, Robert Plato, B. Hofmann, 2019, J. Optim. Theory Appl..

Regularization of a Volterra integral equation by linear inequalities

Ralf Wolke, Bernd Hofmann, R. Hausding, 1990, Computing.

On empirical stochastic regularization

Bernd Hofmann, 1984 .

The index function and Tikhonov regularization for ill-posed problems

Shuai Lu, Jin Cheng, Bernd Hofmann, 2014, J. Comput. Appl. Math..

Efficient Implementation of Estelle Specifications

Wolfgang Effelsberg, Bernd Hofmann, 1993 .

Direct and inverse results in variable Hilbert scales

Bernd Hofmann, Peter Mathé, 2008, J. Approx. Theory.

Generating Parallel Code from Estelle Specifications

Wolfgang Effelsberg, Bernd Hofmann, 1992 .

Convergence Analysis of (Statistical) Inverse Problems under Conditional Stability Estimates

Bernd Hofmann, Frank Werner, 2019 .

A General Optimization Approach

Bernd Hofmann, 1986 .

Nonlinear Tikhonov regularization in Hilbert scales with oversmoothing penalty: inspecting balancing principles pdf

Bernd Hofmann, Robert Plato, Christopher Hofmann, 2020, ArXiv.

Optimal rates for Lavrentiev regularization with adjoint source conditions

Bernd Hofmann, Peter Mathé, Robert Plato, 2017, Math. Comput..

Estimation of linear functionals from indirect noisy data without knowledge of the noise level

Sergei V. Pereverzev, Bernd Hofmann, B. Hofmann, 2010 .

A Multistandard Method of Network Analyzer Self-Calibration—Generalization of Multiline TRL

Bernd Hofmann, Stephan Kolb, 2018, IEEE Transactions on Microwave Theory and Techniques.

A Unified Numerical Approach to Nonlinear Inverse Problems

Bernd Hofmann, 1986 .

Convergence results and low order rates for nonlinear Tikhonov regularization with oversmoothing penalty term pdf

Bernd Hofmann, Robert Plato, 2019, ArXiv.

Regularization Methods for Ill-Posed Problems

Jin Cheng, Bernd Hofmann, 2015, Handbook of Mathematical Methods in Imaging.

The degree of ill-posedness of composite linear ill-posed problems with focus on the impact of the non-compact Hausdorff moment operator pdf

Bernd Hofmann, Peter Math'e, 2021, ArXiv.

The Hausdorff Moment Problem in the light of ill-posedness of type I pdf

Stefan Kindermann, Bernd Hofmann, Daniel Gerth, 2021, Eurasian Journal of Mathematical and Computer Applications.

An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems

Bernd Hofmann, Radu Ioan Boţ, B. Hofmann, 2010 .

Local ill-posedness and source conditions of operator equations in Hilbert spaces

Otmar Scherzer, Bernd Hofmann, O. Scherzer, 1998 .

Convergence rates for Tikhonov regularization from different kinds of smoothness conditions

Bernd Hofmann, Ulrich Tautenhahn, Albrecht Böttcher, 2006 .

Regularization by projection: Approximation theoretic aspects and distance functions

Sergei V. Pereverzev, Bernd Hofmann, Peter Mathé, 2007 .

Approximate source conditions for nonlinear ill-posed problems—chances and limitations

Bernd Hofmann, Torsten Hein, B. Hofmann, 2009 .

On the nature of ill-posedness of an inverse problem arising in option pricing

Bernd Hofmann, Torsten Hein, 2003 .

Case Studies and a Pitfall for Nonlinear Variational Regularization Under Conditional Stability

Bernd Hofmann, Daniel Gerth, Christopher Hofmann, 2018, 1905.11682.

On ill-posedness concepts, stable solvability and saturation

Bernd Hofmann, Robert Plato, B. Hofmann, 2017, 1709.01109.

On decoupling of volatility smile and term structure in inverse option pricing

Herbert Egger, Bernd Hofmann, Torsten Hein, 2006 .

On fractional asymptotical regularization of linear ill-posed problems in hilbert spaces

Bernd Hofmann, Ye Zhang, 2019, Fractional Calculus and Applied Analysis.

A Convergence Rates Result in Banach Spaces with Non-Smooth Operators

Barbara Kaltenbacher, Otmar Scherzer, Bernd Hofmann, 2006 .

On maximum entropy regularization for a specific inverse problem of option pricing

Bernd Hofmann, B. Hofmann, R. Krämer, 2005 .

On the Degree of Ill-posedness for Linear Problems with Noncompact Operators

Stefan Kindermann, Bernd Hofmann, B. Hofmann, 2010 .

Modulus of continuity for conditionally stable ill-posed problems in Hilbert space

Bernd Hofmann, Peter Mathé, B. Hofmann, 2008 .

A regularization approach for the determination of remission curves

Bernd Hofmann, B. Hofmann, C. Radehaus, 2001 .

On complex-valued deautoconvolution of compactly supported functions with sparse Fourier representation

Jens Flemming, Bernd Hofmann, Steven Bürger, 2016 .

Elastic-net regularization versus ℓ1-regularization for linear inverse problems with quasi-sparse solutions

Jun Zou, De-Han Chen, Bernd Hofmann, 2016, 1604.03364.

On the interplay of source conditions and variational inequalities for nonlinear ill-posed problems

Bernd Hofmann, Masahiro Yamamoto, B. Hofmann, 2010 .

Variational regularization of complex deautoconvolution and phase retrieval in ultrashort laser pulse characterization

Bernd Hofmann, Stephan W. Anzengruber, Steven Buerger, 2016 .

A unified approach to convergence rates for ℓ1-regularization and lacking sparsity

Jens Flemming, Bernd Hofmann, Ivan Veselic, 2015 .

Convergence rates in constrained Tikhonov regularization: equivalence of projected source conditions and variational inequalities

Jens Flemming, Bernd Hofmann, B. Hofmann, 2011 .

Factors influencing the ill-posedness of nonlinear problems

Otmar Scherzer, Bernd Hofmann, O. Scherzer, 1994 .

A New Approach to Source Conditions in Regularization with General Residual Term

Jens Flemming, Bernd Hofmann, B. Hofmann, 2009 .

How general are general source conditions?

Bernd Hofmann, Peter Mathé, B. Hofmann, 2008 .

On the Autoconvolution Equation and Total Variation Constraints

Bernd Hofmann, Rudolf Gorenflo, R. Gorenflo, 1999 .

The local degree of ill-posedness and the autoconvolution equation

Bernd Hofmann, B. Hofmann, G. Fleischer, 1997 .

Regularization properties of the sequential discrepancy principle for Tikhonov regularization in Banach spaces

Bernd Hofmann, Peter Mathé, Stephan W Anzengruber, 2014 .

Convergence rates for Tikhonov regularization based on range inclusions

Bernd Hofmann, Masahiro Yamamoto, B. Hofmann, 2005 .

On autoconvolution and regularization

Bernd Hofmann, R. Gorenflo, B. Hofmann, 1994 .

On the Singular Value Decomposition of n-Fold Integration Operators

Christoph Koutschan, Ronny Ramlau, Bernd Hofmann, 2020 .

About a deficit in low-order convergence rates on the example of autoconvolution

Bernd Hofmann, B. Hofmann, Steven Bürger, 2015 .

An extension of the variational inequality approach for nonlinear ill-posed problems

Radu Ioan Bot, Bernd Hofmann, 2009 .

Approximate source conditions in Tikhonov regularization‐new analytical results and some numerical studies

Bernd Hofmann, Dana Düvelmeyer, B. Hofmann, 2006 .

Regularization for applied inverse and ill-posed problems : a numerical approach

Bernd Hofmann, B. Hofmann, 1986 .

On inversion rates for the autoconvolution equation

Bernd Hofmann, B. Hofmann, G. Fleischer, 1996 .

On the second-order asymptotical regularization of linear ill-posed inverse problems

Ye Zhang, Bernd Hofmann, 2018, Applicable Analysis.

Parameter choice in Banach space regularization under variational inequalities

Bernd Hofmann, Peter Mathé, B. Hofmann, 2012 .

Sharp converse results for the regularization error using distance functions

Jens Flemming, Bernd Hofmann, Peter Mathé, 2011 .

A multi-parameter regularization approach for estimating parameters in jump diffusion processes

Bernd Hofmann, Dana Düvelmeyer, B. Hofmann, 2006 .

Convergence rates in $\mathbf{\ell^1}$-regularization if the sparsity assumption fails

Martin Burger, Jens Flemming, Bernd Hofmann, 2012 .