Wissen, was gut ist. Studieren in Chemnitz.

Forschung - Research (full text papers)

Forschungergebnisse zu inversen Problemen - Papers on inverse problems
  • Convergence rates in l1-regularization if the sparsity assumption fails
    (M. Burger, J. Flemming, B. Hofmann) pdf-file
  • Parameter choice in Banach space regularization under variational inequalities
    (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 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) pdf-file
  • 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 - Applications in mathematical finance
  • 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