New Trends in Parameter Identification for Mathematical Models

Posterior contraction in Bayesian inverse problems under Gaussian priors.- Convex regularization of discrete-valued inverse problems.- Algebraic reconstruction of source and attenuation in SPECT using first scattering measurements.- On l1-regularization under continuity of the forward operator in weaker topologies.- On self-regularization of ill-posed problems in Banach spaces by projection methods.- Monotonicity-based regularization for phantom experiment data in electrical impedance tomography.- An SVD in Spherical Surface Wave Tomography.- Numerical Studies of Recovery Chances for a Simplified EIT Problem.- Bayesian updating in the determination of forces in Euler-Bernoulli beams.- On nonstationary iterated Tikhonov methods for ill posed equation in Banach spaces.- The product midpoint rule for Abel-type integral equations of the first kind with perturbed data.- Heuristic parameter choice in Tikhonov method form minimizers of the quasi-optimality function.- Modification of Iterative Tikhonov Regularization Motivated by a Problem of Identification of Laser Beam Quality Parameters.- Tomographic terahertz imaging using sequential subspace optimization.- Adaptivity and Oracle Inequalities in Linear Statistical Inverse Problems: a (numerical) survey.- Relaxing Alternating Direction Method of Multipliers (ADMM) algorithm for linear inverse problems.

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• Análise funcional e transforma
• Análise numérica
• Cálculo diferencial e equações
• Optimização

parameter identification;inverse problems;ill-posed problems;regularization;tomography;partial differential equations;integral equations of the first kind;statistical regularization;bayesian approach;partial differential equations