Signal detection for inverse problems in a multidimensional framework

[1]  Lea Fleischer,et al.  Regularization of Inverse Problems , 1996 .

[2]  C. Marteau,et al.  General regularization schemes for signal detection in inverse problems , 2013, 1304.0943.

[3]  D. Picard,et al.  Blockwise SVD with error in the operator and application to blind deconvolution , 2012, 1204.2964.

[4]  C. Lacour,et al.  Goodness-of-fit test for noisy directional data , 2012, 1203.2008.

[5]  Yu. I. Ingster,et al.  Minimax signal detection in ill-posed inverse problems , 2010, 1001.1853.

[6]  B. Laurent,et al.  Non asymptotic minimax rates of testing in signal detection with heterogeneous variances , 2009, 0912.2423.

[7]  B. Laurent,et al.  Testing inverse problems: A direct or an indirect problem? , 2011 .

[8]  Yu. I. Ingster,et al.  Minimax nonparametric testing in a problem related to the radon transform , 2011, 1103.3442.

[9]  Gilles Stoltz,et al.  Inverse problems and high dimensional estimation , 2011 .

[10]  Yu. I. Ingster,et al.  Estimation and detection of functions from anisotropic Sobolev classes , 2011 .

[11]  Laurent Cavalier,et al.  Inverse Problems in Statistics , 2011 .

[12]  Nicolai Bissantz,et al.  Convergence Rates of General Regularization Methods for Statistical Inverse Problems and Applications , 2007, SIAM J. Numer. Anal..

[13]  C. Butucea Goodness-of-fit testing and quadratic functional estimation from indirect observations , 2006, math/0612361.

[14]  N. Hengartner,et al.  Adaptive estimation for inverse problems with noisy operators , 2005 .

[15]  B. Laurent,et al.  ADAPTIVE TESTS OF LINEAR HYPOTHESES BY MODEL SELECTION , 2003 .

[16]  Y. Baraud Non-asymptotic minimax rates of testing in signal detection , 2002 .

[17]  Peter Mathé,et al.  Optimal Discretization of Inverse Problems in Hilbert Scales. Regularization and Self-Regularization of Projection Methods , 2000, SIAM J. Numer. Anal..