Don't shed tears over breaks

zbMath1175.93232MaRDI QIDQ1038670

Volkmar Liebscher, Angela Kempe, Gerhard Winkler, Olaf Wittich

Publication date: 19 November 2009

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

Mathematics Subject Classification ID

Nonparametric regression and quantile regression (62G08) Time series, auto-correlation, regression, etc. in statistics (GARCH) (62M10) Data smoothing in stochastic control theory (93E14) Signal theory (characterization, reconstruction, filtering, etc.) (94A12) Numerical methods of relaxation type (49M20)

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Reconstruction of noisy signals by minimization of non-convex functionals ⋮ Generalized Pareto processes and fund liquidity risk ⋮ Recursive reconstruction of piecewise constant signals by minimization of an energy function ⋮ Complexity \(L^0\)-penalized \(M\)-estimation: consistency in more dimensions ⋮ Jump-penalized least absolute values estimation of scalar or circle-valued signals ⋮ Localization of subsets of discontinuity points of a noisy function ⋮ Investigation of methods of localization of \(q\)-jumps and discontinuities of first kind of noisy function ⋮ Consistencies and rates of convergence of jump-penalized least squares estimators ⋮ Estimates of Characteristics of Localization Methods for Discontinuities of the First Kind of a Noisy Function ⋮ Smoothing for signals with discontinuities using higher order Mumford-Shah models ⋮ The $L^1$-Potts Functional for Robust Jump-Sparse Reconstruction

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