[11] Peter Mathé and Ulrich Tautenhahn, Regularization under general noise assumptions, Inverse Problems 27 (2011), no. 3,

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1 Literatur [1] Radu Boţ, Bernd Hofmann, and Peter Mathé, Regularizability of illposed problems and the modulus of continuity, Zeitschrift für Analysis und ihre Anwendungen. Journal of Analysis and its Applications (2013), to appear. [2] Clément Marteau and Peter Mathé, General regularization schemes for signal detection in inverse problems, arxiv: v1 [math.st], [3] Saskia Becker and Peter Mathé, A new perspective on the propagationseparation approach: Taking advantage of the propagation condition, Tech. Report 1766, WIAS, Berlin, 2013, [4] Stephan Anzengruber, Bernd Hofmann, and Peter Mathé, Regularization properties of the sequential discrepancy principle for tikhonov regularization in banach spaces, Applic. Analysis (2013), to appear. [5] Alexander Wilms, Deniz Breddermann, and Peter Mathé, Theory of direct capture from two-and three-dimensional reservoirs to quantum dot states, Phys. Status Solidi C9 (2012), no. 5, [6] Shuai Lu and Peter Mathé, Varying discrepancy principle as an adaptive parameter selection in statistical inverse problems, submitted (2012). [7] Qinian Jin and Peter Mathé, Oracle inequality for a statistical Raus Gfrerer type rule, arxiv: v1 [math.na], pdf/ , [8] Bernd Hofmann and Peter Mathé, Parameter choice in Banach space regularization under variational inequalities, Inverse Problems 28 (2012), no. 10, [9], A note on the modulus of continuity for ill-posed problems in Hilbert space, Trudy Inst. Mat. i Mekh. UrO RAN 18 (2012), no. 1, [10] Gilles Blanchard and Peter Mathé, Discrepancy principle for statistical inverse problems with application to conjugate gradient regularization, Inverse Problems 28 (2012), no. 11, pp

2 [11] Peter Mathé and Ulrich Tautenhahn, Regularization under general noise assumptions, Inverse Problems 27 (2011), no. 3, [12] Peter Mathé and Ulrich Tautenhahn, Enhancing linear regularization to treat large noise, J. Inverse Ill-Posed Probl. 19 (2011), no. 6, [13] Bernd Hofmann and Peter Mathé, Some note on the modulus of continuity for ill-posed problems in Hilbert space, Tech. Report , TU Chemnitz, [14] Jens Flemming, Bernd Hofmann, and Peter Mathé, Sharp converse results for the regularization error using distance functions, Inverse Problems 27 (2011), no. 2, [15] F. Bauer and P. Mathé, Parameter choice methods using minimization schemes, Journal of Complexity 27 (2011), no. 1, [16] Gilles Blanchard and Peter Mathé, Conjugate gradient regularization under general smoothness and noise assumptions, J. Inverse Ill-Posed Probl. 18 (2010), no. 6, [17] Peter Mathé and Sergei V. Pereverzev, The use of higher order finite difference schemes is not dangerous, J. Complexity 25 (2009), no. 1, [18] Shuai Lu and Peter Mathé, Heuristic parameter choice based on functional minimization: optimality and model function approach, preprint 1413, Weierstrass Institute, Berlin, [19] Bernd Hofmann, Peter Mathé, and Heinrich von Weizsäcker, Regularization in Hilbert space under unbounded operators and general source conditions, Inverse Problems 25 (2009), no. 11, , 15. [20] Peter Mathé and Nadine Schöne, Regularization by projection in variable Hilbert scales, Appl. Anal. 87 (2008), no. 2, [21] Peter Mathé and Bernd Hofmann, How general are general source conditions?, Inverse Problems 24 (2008), no. 1, , 5. [22], Direct and inverse results in variable Hilbert scales, J. Approx. Theory 154 (2008), no. 2,

3 [23] R. Krämer and P. Mathé, Modulus of continuity of Nemytskiĭ operators with application to the problem of option pricing, J. Inverse Ill-Posed Probl. 16 (2008), no. 5, [24] B. Hofmann, P. Mathé, and M. Schieck, Modulus of continuity for conditionally stable ill-posed problems in Hilbert space, J. Inverse Ill-Posed Probl. 16 (2008), no. 6, [25] Peter Mathé and Ulrich Tautenhahn, Error bounds for regularization methods in Hilbert scales by using operator monotonicity, Far East J. Math. Sci. (FJMS) 24 (2007), no. 1, [26] Peter Mathé and Erich Novak, Simple Monte Carlo and the Metropolis algorithm, J. Complexity 23 (2007), no. 4-6, [27] Peter Mathé, Local analysis of inverse problems in Hilbert space, unpublished, [28] Bernd Hofmann and Peter Mathé, Analysis of profile functions for general linear regularization methods, SIAM J. Numer. Anal. 45 (2007), no. 3, (electronic). [29] B. Hofmann, P. Mathé, and S. V. Pereverzev, Regularization by projection: approximation theoretic aspects and distance functions, J. Inverse Ill-Posed Probl. 15 (2007), no. 5, [30] Peter Mathé and Ulrich Tautenhahn, Interpolation in variable Hilbert scales with application to inverse problems, Inverse Problems 22 (2006), no. 6, [31] Peter Mathé and Sergei V. Pereverzev, Regularization of some linear ill-posed problems with discretized random noisy data, Math. Comp. 75 (2006), no. 256, [32], The discretized discrepancy principle under general source conditions, J. Complexity 22 (2006), no. 3, [33] Peter Mathé and Bernd Hofmann, Direct and inverse results in variable Hilbert scales, preprint , TU Chemnitz, [34] Peter Mathé, What do we learn from the discrepancy principle?, Z. Anal. Anwend. 25 (2006), no. 4,

4 [35], The Lepskiĭ principle revisited, Inverse Problems 22 (2006), no. 3, L11 L15. [36] Frank Bauer, Peter Mathé, and Sergei V. Pereverzev, Local solutions to inverse problems in geodesy. the impact of the noise covariance structure upon the accuracy of estimation, Journal of Geodesy 81 (2006), 39 51, publ. electr. as DOI /s [37] Peter Mathé and Gang Wei, Quasi-Monte Carlo integration over R d, Math. Comp. 73 (2004), no. 246, [38] Peter Mathé, Saturation of regularization methods for linear ill-posed problems in Hilbert spaces, SIAM J. Numer. Anal. 42 (2004), no. 3, (electronic). [39], Numerical integration using V -uniformly ergodic Markov chains, J. Appl. Probab. 41 (2004), no. 4, [40], Degree of ill-posedness of statistical inverse problems, Preprint 954, WIAS, August [41] Stefan Jaschke and Peter Mathé, Stratified sampling for risk management, submitted, [42] Peter Mathé and Johann Hinrich Zacharias-Langhans, On scattering of ultrasonic waves, Mathematics key technology for the future, Springer, Berlin, 2003, pp [43] Peter Mathé and Sergei V. Pereverzev, Geometry of linear ill-posed problems in variable Hilbert scales, Inverse Problems 19 (2003), no. 3, [44], Discretization strategy for linear ill-posed problems in variable Hilbert scales, Inverse Problems 19 (2003), no. 6, [45] Peter Mathé, Asymptotic constants for multivariate Bernstein polynomials, Studia Sci. Math. Hungar. 40 (2003), no. 1-2, [46] Peter Mathé and Sergei V. Pereverzev, Stable summation of orthogonal series with noisy coefficients, J. Approx. Theory 118 (2002), no. 1,

5 [47], Moduli of continuity for operator valued functions, Numer. Funct. Anal. Optim. 23 (2002), no. 5-6, [48], Direct estimation of linear functionals from indirect noisy observations, J. Complexity 18 (2002), no. 2, [49] Peter Mathé and Sergei V. Pereverzev, Optimal discretization of inverse problems in Hilbert scales. Regularization and self-regularization of projection methods, SIAM J. Numer. Anal. 38 (2001), no. 6, [50] Peter Mathé, Hilbert space analysis of Latin hypercube sampling, Proc. Amer. Math. Soc. 129 (2001), no. 5, [51] Peter Mathé and Bernd Schmidt, Interpolation of Gauss Markov processes, Preprint Nr. A/20/2000 FU Berlin, October [52] Peter Mathé and Sergei V. Pereverzev, Optimal discretization and degrees of ill posedness for inverse estimation in Hilbert scales in the presence of random noise, preprint WIAS, January [53] Peter Mathé, Numerical integration using Markov chains, Monte Carlo Methods Appl. 5 (1999), no. 4, [54], Approximation of Hölder continuous functions by Bernstein polynomials, Amer. Math. Monthly 106 (1999), no. 6, [55], Relaxation of product Markov chains on product spaces, J. Complexity 14 (1998), no. 3, [56], Asymptotically optimal weighted numerical integration, J. Complexity 14 (1998), no. 1, [57] Norbert Hofmann and Peter Mathé, On quasi-monte Carlo simulation of stochastic differential equations, Math. Comp. 66 (1997), no. 218, [58] Peter Mathé, Optimal reconstruction of stochastic evolutions, The Mathematics of Numerical Analysis: Proc AMS SIAM Summer Seminar in Appl. Math., Park City, Utah (Providence, RI) (S. Smale et al., ed.), Lect. Applied Math., vol. 32, AMS, 1996, pp

6 [59], On the existence of unbiased Monte Carlo estimators, J. Approx. Theory 85 (1996), no. 1, [60], Efficient mixing of product walks on product groups, preprint WIAS, December [61], The optimal error of Monte Carlo integration, J. Complexity 11 (1995), no. 4, [62], Approximation theory of stochastic numerical methods, Habilitation thesis, [63], On optimal random nets, J. Complexity 9 (1993), no. 1, , Festschrift for Joseph F. Traub, Part I. [64], A minimax principle for the optimal error of Monte Carlo methods, Constr. Approx. 9 (1993), no. 1, [65] Stefan Heinrich and Peter Mathé, The Monte Carlo complexity of Fredholm integral equations, Math. Comp. 60 (1993), no. 201, [66] Peter Mathé, Random approximation of finite sums, Preprint No. 11, Institute for Applied Analysis and Stochastics, September [67], Random approximation of Sobolev embeddings, J. Complexity 7 (1991), no. 3, [68] P. Mathé, s-numbers in information-based complexity, J. Complexity 6 (1990), no. 1, [69] Peter Mathé, A note on classes of Banach spaces related to stable measures, Math. Nachr. 115 (1984), [70], The Laplace transform on linear spaces, Proc. Conf. Topology and Measure, IV (Greifswald), Wiss. Beiträge der Ernst Moritz Arndt Universität, 1984, pp [71] Werner Linde and Peter Mathé, Inequalities between integrals of p-stable symmetric measures on Banach spaces, Probab. Math. Statist. 3 (1984), no. 2,

7 [72], Conditional symmetries of stable measures on R n, Ann. Inst. H. Poincaré Sect. B (N.S.) 19 (1983), no. 1, [73] Peter Mathé, Poisson and Lévy measures in Banach spaces of type and cotype, Proc. Conf. Topology and Measure, III (Greifswald), Wiss. Beiträge der Ernst Moritz Arndt Universität,

Canberra Symposium on Regularization and Chemnitz Symposium on Inverse Problems on Tour

Canberra Symposium on Regularization and Chemnitz Symposium on Inverse Problems on Tour Monday, 19 th November 2012 8:00 Registration 8:45 Welcome and Opening Remarks Chair: Bob Anderssen Jin Cheng (Fudan University Shanghai, China) Ill-posedness and Tikhonov regularization in the study of