Veröffentlichungen (Volltext)

Forschungergebnisse zu inversen Problemen

• Comparing the ill-posedness for linear operators in Hilbert spaces
  (P. Mathé, B. Hofmann) pdf-file
• A unified concept of the degree of ill-posedness for compact and non-compact linear operator equations
  in Hilbert spaces under the auspices of the spectral theorem
  (F. Werner, B. Hofmann) pdf-file
• Curious ill-posedness phenomena in the composition of non-compact linear operators in Hilbert spaces
  (S. Kindermann, B. Hofmann) pdf-file
• The degree of ill-posedness for some composition governed by the Cesaro operator
  (Y. Deng, H.-J. Fischer, B. Hofmann) pdf-file
• Tractability of linear ill-posed problems in Hilbert space
  (P. Mathé, B. Hofmann) pdf-file
• A note on the degree of ill-posedness for mixed differentiation on the d-dimensional unit cube
  (B. Hofmann, H.-J. Fischer) pdf-file
• New results for variational regularization with oversmoothing penalty term in Banach spaces
  (B. Hofmann, C. Klinkhammer, R. Plato) pdf-file
• On uniqueness and ill-posedness for the deautoconvolution problem in the multi-dimensional case
  (B. Hofmann, F. Werner, Y. Deng) pdf-file
• Deautoconvolution in the two-dimensional case
  (Y. Deng, B. Hofmann, F. Werner) pdf-file
• Variational regularization with oversmoothing penalty term in Banach spaces
  (R. Plato, B. Hofmann) pdf-file
• The degree of ill-posedness of composite linear ill-posed problems with focus on the impact
  of the non-compact Hausdorff moment operator
  (B. Hofmann, P. Mathé) pdf-file
• A note on open questions asked to analysis and numerics concerning the Hausdorff moment problem.
  (D. Gerth, B. Hofmann) pdf-file
• The Hausdorff moment problem in the light of ill-posedness of type I
  (D. Gerth, B. Hofmann, C. Hofmann, S. Kindermann) pdf-file
• Nonlinear Tikhonov regularization in Hilbert scales with oversmoothing penalty: inspecting balancing principles
  (B. Hofmann, C. Hofmann, P. Mathé, R. Plato) pdf-file
• Oversmoothing Tikhonov regularization in Banach spaces
  (D. Chen, B. Hofmann, I. Yousept) pdf-file
• Two new non-negativity preserving iterative regularization methods for ill-posed inverse problems
  (Y. Zhang, B. Hofmann) pdf-file
• The impact of the discrepancy principle on the Tikhonov-regularized solutions with oversmoothing penalties
  (B. Hofmann, C. Hofmann) pdf-file
• Convergence results and low order rates for nonlinear Tikhonov regularization with oversmoothing penalty term
  (B. Hofmann, R. Plato) pdf-file
• Regularization of linear ill-posed problems involving multiplication operators
  (P. Mathé, M.T. Nair, B. Hofmann) pdf-file
• Convergence analysis of (statistical) inverse problems under conditional stability estimates
  (F. Werner, B. Hofmann) pdf-file
• Case studies and a pitfall for nonlinear variational regularization under conditional stability
  (D. Gerth, B. Hofmann, C. Hofmann) pdf-file
• On fractional asymptotical regularization
  (Y. Zhang, B. Hofmann) pdf-file
• Simultaneous identification of volatility and interest rate functions -- a two parameter regularization approach
  (C. Hofmann, B. Hofmann, A. Pichler) pdf-file
• A regularization approach for an inverse source problem in elliptic systems from single Cauchy data
  (M. Hinze, B. Hofmann, Tran Nhan Tam Quyen) pdf-file
• Penalty-based smoothness conditions in convex variational regularization
  (B. Hofmann, S. Kindermann, P. Mathé) pdf-file
• A priori parameter choice in Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems
  (B. Hofmann, P. Mathé) pdf-file
• Tikhonov regularization with l^0 term complementing a convex penalty: l^1 convergence under sparsity constraints
  (W. Wang, S. Lu, B. Hofmann, J. Cheng) pdf-file
• On the singular value decomposition of n-fold integration operators
  (R. Ramlau, C. Koutschan, B. Hofmann) pdf-file
• Tikhonov regularization in Hilbert scales under conditional stability estimates
  (H. Egger, B. Hofmann) pdf-file
• On the second order asymptotical regularization of linear ill-posed inverse problems
  (Y. Zhang, B. Hofmann) pdf-file
• Convergence rates of a penalized variational inequality method for nonlinear monotone ill-posed equations in Hilbert spaces
  (R. Plato, B. Hofmann) pdf-file
• Existence of variational source conditions for nonlinear inverse problems in Banach spaces
  (J. Flemming) pdf-file
• On l1-regularization under continuity of the forward operator in weaker topologies
  (D. Gerth, B. Hofmann) pdf-file
• On ill-posedness concepts, stable solvability and saturation
  (B. Hofmann, R. Plato) pdf-file
• Tikhonov regularization with oversmoothing penalty for non-linear ill-posed problems in Hilbert scales
  (B. Hofmann, P. Mathé) pdf-file
• Convergence rates for l1-regularization without the help of a variational inequality
  (D. Gerth) pdf-file
• Injectivity and weak*-to-weak continuity suffice for convergence rates in l1-regularization
  (J. Flemming, D. Gerth) pdf-file
• On the lifting of deterministic convergence rates for inverse problems with stochastic noise
  (D. Gerth, A. Hofinger, R. Ramlau) pdf-file
• Optimal rates for Lavrentiev regularization with adjoint source conditions
  (R. Plato, P. Mathé, B. Hofmann) pdf-file
• Discretized Lavrenti'ev regularization for the autoconvolution equation
  (S. Bürger, P. Mathé) pdf-file
• Conditional stability versus ill-posedness for operator equations with monotone operators in Hilbert space
  (R. Bot, B. Hofmann) pdf-file
• Elastic-net regularization versus l1-regularization for linear inverse problems with quasi-sparse solutions
  (D. Chen, B. Hofmann, J. Zou) pdf-file
• On complex-valued deautoconvolution of compactly supported functions with sparse Fourier representation
  (S. Bürger, J. Flemming, B. Hofmann) pdf-file
• Convergence rates for l¹-regularization without injectivity-type assumptions
  (J. Flemming) pdf-file
• Variational regularization of complex deautoconvolution and phase retrieval in ultrashort laser pulse characterization
  (S.W. Anzengeruber, S. Bürger, B. Hofmann, G. Steinmeyer) pdf-file
• Lavrentiev's regularization method in Hilbert spaces revisited
  (B. Hofmann, B. Kaltenbacher, E. Resmerita) pdf-file
• About a deficit in low-order convergence rates on the example of autoconvolution
  (S. Bürger, B. Hofmann) pdf-file
• A unified approach to convergence rates for l1 regularization and lacking sparsity
  (J. Flemming, B. Hofmann, I. Veselic) pdf-file
• On l1- regularization in light of Nashed's ill-posedness concept
  (J. Flemming, B. Hofmann, I. Veselic) pdf-file
• Phase retrieval via regularization in self-diffraction based spectral interferometry
  (S. Birkholz, G. Steinmeyer, S. Koke, D. Gerth, S. Bürger, B. Hofmann) pdf-file
• Deautoconvolution: A new decomposition approach versus TIGRA and local regularization
  (S. Bürger, J. Flemming) pdf-file
• Regularization of autoconvolution and other ill-posed quadratic equations by decomposition
  (J. Flemming) pdf-file
• Convergence rates in l¹-regularization when the basis is not smooth enough
  (J. Flemming, M. Hegland) pdf-file
• Regularization properties of the sequential discrepancy principle for Tikhonov regularization in Banach spaces
  (S.W. Anzengruber, B. Hofmann, P. Mathé) pdf-file
• The impact of a curious type of smoothness conditions on convergence rates in l1-regularization
  (R. Bot, B. Hofmann) pdf-file
• Variational smoothness assumptions in convergence rate theory - an overview
  (J. Flemming) pdf-file
• Convergence rates in l1-regularization if the sparsity assumption fails
  (M. Burger, J. Flemming, B. Hofmann) pdf-file
• Regularization of an autoconvolution problem in ultrashort laser pulse characterization
  (D. Gerth, B. Hofmann, S. Birkholz, S. Koke, G. Steinmeyer) pdf-file
• Parameter choice in Banach space regularization under variational inequalities
  (B. Hofmann, P. Mathé) pdf-file
• Regularizability of ill-posed problems and the modulus of continuity
  (R. Bot, B. Hofmann, P.Mathé) pdf-file
• A note on the modulus of continuity for ill-posed problems in Hilbert space
  (B. Hofmann, P. Mathé) pdf-file
• Solution smoothness of ill-posed equations in Hilbert spaces: four concepts and their cross connections
  (J. Flemming) pdf-file
• Convergence rate analysis of Tikhonov regularization for nonlinear ill-posed problems with noisy operators
  (S. Lu, J. Flemming) pdf-file
• Convergence rates in constrained Tikhonov regularization: equivalence of projected source conditions and variational inequalities
  (J. Flemming, B. Hofmann) pdf-file
• Errors of regularisation under range inclusions using variable Hilbert scales
  (M. Hegland, B. Hofmann) pdf-file
• Sharp converse results for the regularization error using distance functions
  (J. Flemming, B. Hofmann, P. Mathé) pdf-file
• On the degree of ill-posedness for linear problems with non-compact operators.
  (B. Hofmann, S. Kindermann)
• An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems
  (R. Bot, B. Hofmann) pdf-file
• On the interplay of source conditions and variational inequalities for nonlinear ill-posed problems
  (B. Hofmann, M. Yamamoto) pdf-file
• Theory and examples of variational regularization with non-metric fitting functionals
  (J. Flemming) pdf-file
• Improved and extended results for enhanced convergence rates of Tikhonov regularization in Banach spaces
  (A. Neubauer, T. Hein, B. Hofmann, S. Kindermann, U. Tautenhahn) pdf-file
• A new approach to source conditions in regularization with general residual term
  (J. Flemming, B. Hofmann) pdf-file
• Convergence rates for the iteratively regularized Gauss-Newton method in Banach spaces
  (B. Kaltenbacher, B. Hofmann) pdf-file
• Regularization in Hilbert space under unbounded operators and general source conditions
  (B. Hofmann, P.Mathé, H. von Weizsäcker) pdf-file
• Approximate source conditions for nonlinear il-posed problems - chances and limitations
  (T.Hein, B.Hofmann) pdf-file
• A new result on the singular value asymptotics of integration operators with weights
  (B. Hofmann, L. von Wolfersdorf) pdf-file
• Modulus of continuity for conditionally stable ill-posed problems in Hilbert space
  (B.Hofmann, P.Mathé, M.Schieck) pdf-file
• How general are general source conditions?
  (P.Mathé, B.Hofmann) pdf-file
• A convergence rates result in Banach spaces with non-smooth operators.
  (B. Hofmann, B. Kaltenbacher, C. Pöschl, O. Scherzer) pdf-file
• Direct and inverse results in variable Hilbert scales
  (P.Mathé, B. Hofmann) pdf-file
• Regularization by projection: Approximation theoretic aspects and distance functions.
  (B.Hofmann, P.Mathé, S.V.Pereverzev) pdf-file
• On the analysis of distance functions for linear ill-posed problems with an application to the integration operator in L^2
  (B. Hofmann, M. Schieck, L. von Wolfersdorf) pdf-file
• Analysis of profile functions for general linear regularization methods
  (B. Hofmann, P.Mathé) pdf-file
• Range inclusions and approximate source conditions with general benchmark functions
  (D. Düvelmeyer, B. Hofmann, M. Yamamoto) pdf-file
• Numerical analysis of a calibration problem for simulating electric fault arc tests
  (T. Hein, B. Hofmann, A. Meyer, P. Steinhorst) pdf-file
• Approximate source conditions in Tikhonov-Phillips regularization and consequences for inverse problems with multiplication operators
  (B. Hofmann) pdf-file
• Approximate source conditions in regularization - new analytical results and numerical studies
  (B. Hofmann, D. Düvelmeyer, K. Krumbiegel) pdf-file
• Convergence rates for Tikhonov regularization from different kinds of smoothness conditions
  (A. Böttcher, B. Hofmann, U. Tautenhahn, M. Yamamoto) pdf-file
• Convergence rates for Tikhonov regularization based on range inclusions
  (B. Hofmann, M.Yamamoto) pdf-file
• Some results and a conjecture on the degree of ill-posedness for integration operators
  (B. Hofmann, L. von Wolfersdorf) pdf-file

Beiträge zur Finanzmathematik

• On decoupling of volatility smile and term structure in inverse option pricing
  (H. Egger, T. Hein, B. Hofmann) pdf-file
• A multi-parameter regularization approach for estimating parameters in jump diffusion processes
  (D. Düvelmeyer, B. Hofmann) pdf-file
• Der Cost Average Effekt in der Anlagenberatung - Einsatzmöglichkeiten und Grenzen sowie deren mathematische Hintergründe
  (B. Hofmann, M. Richter, F. Thiessen, R. Wunderlich) pdf-file
• Vermögensaufteilung für die Altersvorsorge: Wie fundiert sind langfristige Allokationsregeln?
  (B. Hofmann, F. Thiessen, V. Weber, R. Wunderlich) pdf-file
• On maximum entropy regularization for a specific inverse problem of option pricing
  (B. Hofmann, R. Krämer) pdf-file
• On the nature of ill-posedness of an inverse problem arising in option pricing
  (T. Hein, B. Hofmann) pdf-file