Markus Grasmair

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All published works

Action	Title	Year	Authors
+ PDF Chat	Maximum Discrepancy Generative Regularization and Non-Negative Matrix Factorization for Single Channel Source Separation	2024	Martin Ludvigsen Markus Grasmair
+ PDF Chat	Parameter identification in PDEs by the solution of monotone inclusion problems	2024	Pankaj Gautam Markus Grasmair
+	Multi-parameter Approaches in Image Processing	2023	Markus Grasmair Valeriya Naumova
+	Adversarial Generative NMF for Single Channel Source Separation	2023	Martin Ludvigsen Markus Grasmair
+ PDF Chat	A PDE-Based Method for Shape Registration	2022	Esten Nicolai Wøien Markus Grasmair
+	A square root velocity framework for curves of bounded variation	2022	Markus Grasmair
+	A PDE-based Method for Shape Registration	2021	Esten Nicolai Wøien Markus Grasmair
+ PDF Chat	Source Conditions for Non-Quadratic Tikhonov Regularization	2020	Markus Grasmair
+	Source Conditions for non-quadratic Tikhonov Regularisation	2020	Markus Grasmair
+	Subgradient-based Lavrentiev regularisation of monotone ill-posed problems	2020	Markus Grasmair Fredrik Hildrum
+	Source Conditions for non-quadratic Tikhonov Regularisation	2020	Markus Grasmair
+	Adaptive multi-penalty regularization based on a generalized Lasso path	2018	Markus Grasmair Timo Klock Valeriya Naumova
+ PDF Chat	Variational multiscale nonparametric regression: Smooth functions	2018	Markus Grasmair Housen Li Axel Munk
+ PDF Chat	On the Equivalence of Eulerian and Lagrangian Variables for the Two-Component Camassa–Holm System	2018	Markus Grasmair Katrin Grunert Helge Holden
+	Adaptive multi-penalty regularization based on a generalized Lasso path	2017	Markus Grasmair Timo Klock Valeriya Naumova
+ PDF Chat	Landmark-guided elastic shape analysis of human character motions	2017	Martin Bauer Markus Eslitzbichler Markus Grasmair
+	Adaptive multi-penalty regularization based on a generalized Lasso path	2017	Markus Grasmair Timo Klock Valeriya Naumova
+ PDF Chat	Conditions on optimal support recovery in unmixing problems by means of multi-penalty regularization	2016	Markus Grasmair Valeriya Naumova
+	Landmark-Guided Elastic Shape Analysis of Human Character Motions	2015	Martin Bauer Markus Eslitzbichler Markus Grasmair
+ PDF Chat	Optical Flow on Moving Manifolds	2015	Martin Bauer Markus Grasmair Clemens Kirisits
+	Sparsity in Inverse Geophysical Problems	2015	Markus Grasmair Markus Haltmeier Otmar Scherzer
+	Landmark-Guided Elastic Shape Analysis of Human Character Motions	2015	Martin Bauer Markus Eslitzbichler Markus Grasmair
+	Optical Flow on Moving Manifolds	2014	Martin Bauer Markus Grasmair Clemens Kirisits
+ PDF Chat	A variational algorithm for the detection of line segments	2014	Elena Beretta Markus Grasmair Monika Muszkieta Otmar Scherzer
+	Optical Flow on Moving Manifolds	2014	Martin Bauer Markus Grasmair Clemens Kirisits
+ PDF Chat	An approach to the minimization of the Mumford–Shah functional using $\Gamma$-convergence and topological asymptotic expansion	2013	Markus Grasmair Monika Muszkieta Otmar Scherzer
+ PDF Chat	Nonparametric instrumental regression with non-convex constraints	2013	Markus Grasmair Otmar Scherzer Anne Vanhems
+	Variational inequalities and higher order convergence rates for Tikhonov regularisation on Banach spaces	2013	Markus Grasmair
+	A variational algorithm for the detection of line segments	2013	Elena Beretta Markus Grasmair Monika Muszkieta Otmar Scherzer
+	Local uniqueness of the circular integral invariant	2013	Martin Bauer Thomas Fidler Markus Grasmair
+	Convergence Rates for Tikhonov Regularisation on Banach Spaces	2012	Markus Grasmair
+ PDF Chat	Regularization of linear ill-posed problems by the augmented Lagrangian method and variational inequalities	2012	Klaus Frick Markus Grasmair
+	An Application of Source Inequalities for Convergence Rates of Tikhonov Regularization with a Non-differentiable Operator	2012	Markus Grasmair
+	An Application of Source Inequalities for Convergence Rates of Tikhonov Regularization with a Non-differentiable Operator	2012	Markus Grasmair
+	The residual method for regularizing ill-posed problems	2011	Markus Grasmair Markus Haltmeier Otmar Scherzer
+	Local Uniqueness of the Circular Integral Invariant	2011	Martin Bauer Thomas Fidler Markus Grasmair
+	Linear convergence rates for Tikhonov regularization with positively homogeneous functionals	2011	Markus Grasmair
+	An Approach to the Minimization of the Mumford-Shah Functional using \Gamma-convergence and Topological Asymptotic Expansion	2011	Markus Grasmair Monika Muszkieta Otmar Scherzer
+	Multi-parameter Tikhonov Regularisation in Topological Spaces	2011	Markus Grasmair
+	Variational Inequalities and Improved Convergence Rates for Tikhonov Regularisation on Banach Spaces	2011	Markus Grasmair
+ PDF Chat	Well-posedness classes for sparse regularization	2011	Markus Grasmair
+	An Approach to the Minimization of the Mumford-Shah Functional using Γ-convergence and Topological Asymptotic Expansion	2011	Markus Grasmair Monika Muszkieta Otmar Scherzer
+	Local Uniqueness of the Circular Integral Invariant	2011	Martin Bauer Thomas Fidler Markus Grasmair
+	Necessary and sufficient conditions for linear convergence of ℓ1-regularization	2010	Markus Grasmair Otmar Scherzer Markus Haltmeier
+	Generalized Bregman distances and convergence rates for non-convex regularization methods	2010	Markus Grasmair
+ PDF Chat	Evolution by Non-Convex Functionals	2010	Peter Elbau Markus Grasmair Frank Lenzen Otmar Scherzer
+	Non-convex sparse regularisation	2009	Markus Grasmair
+	Well-posedness and convergence rates for sparse regularization with sublinear $l^q$ penalty term	2009	Markus Grasmair
+	Weakly Differentiable Functions	2008	Otmar Scherzer Markus Grasmair Harald Grossauer Markus Haltmeier Frank Lenzen
+	Convex Regularization Methods for Denoising	2008	Otmar Scherzer Markus Grasmair Harald Grossauer Markus Haltmeier Frank Lenzen
+	Variational Regularization Methods for the Solution of Inverse Problems	2008	Otmar Scherzer Markus Grasmair Harald Grossauer Markus Haltmeier Frank Lenzen
+	Variational Calculus for Non-convex Regularization	2008	Otmar Scherzer Markus Grasmair Harald Grossauer Markus Haltmeier Frank Lenzen
+ PDF Chat	Sparse regularization with <i> l <sup>q</sup> </i> penalty term	2008	Markus Grasmair Markus Haltmeier Otmar Scherzer
+	Generalizations of the Taut String Method	2008	Markus Grasmair Andreas Obereder
+	Identifiability and reconstruction of shapes from integral invariants	2008	Thomas Fidler Markus Grasmair Otmar Scherzer
+	Relaxation of Nonlocal Integrals with Rational Integrands	2006	Markus Grasmair
+	Relaxation of Nonlocal Singular Integrals	2005	Markus Grasmair Otmar Scherzer
+	A Non-convex PDE Scale Space	2005	Markus Grasmair Frank Lenzen Andreas Obereder Otmar Scherzer Matthias Fuchs

Common Coauthors

Coauthor	Papers Together
Otmar Scherzer	18
Markus Haltmeier	8
Martin Bauer	6
Frank Lenzen	6
Monika Muszkieta	5
Valeriya Naumova	5
Thomas Fidler	4
Harald Grossauer	4
Martin Bauer	3
Clemens Kirisits	3
Markus Eslitzbichler	3
Timo Klock	3
Elena Beretta	2
Martin Ludvigsen	2
Esten Nicolai Wøien	2
Andreas Obereder	2
Klaus Frick	1
Matthias Fuchs	1
Helge Holden	1
Fredrik Hildrum	1
Pankaj Gautam	1
Peter Elbau	1
Housen Li	1
Katrin Grunert	1
Axel Munk	1
Anne Vanhems	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A convergence rates result for Tikhonov regularization in Banach spaces with non-smooth operators	2007	Bernd Hofmann Barbara Kaltenbacher Christiane Pöschl Otmar Scherzer	16
+	Convergence rates of convex variational regularization	2004	Martin Burger Stanley Osher	13
+ PDF Chat	An iterative thresholding algorithm for linear inverse problems with a sparsity constraint	2004	Ingrid Daubechies Michel Defrise Christine De Mol	11
+ PDF Chat	Sparse regularization with <i> l <sup>q</sup> </i> penalty term	2008	Markus Grasmair Markus Haltmeier Otmar Scherzer	10
+	Regularization of Inverse Problems	1996	Heinz W. Engl Martin Hanke Andreas B. Neubauer	9
+ PDF Chat	Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information	2006	Emmanuel J. Candès Justin Romberg Terence Tao	9
+	Generalized Bregman distances and convergence rates for non-convex regularization methods	2010	Markus Grasmair	8
+ PDF Chat	An extension of the variational inequality approach for obtaining convergence rates in regularization of nonlinear ill-posed problems	2010	Radu Ioan Boţ Bernd Hofmann	7
+	The theory of Tikhonov regularization for Fredholm equations of the first kind	1984	C. W. Groetsch	7
+	Analysis of bounded variation penalty methods for ill-posed problems	1994	Rüyam Acar C. R. Vogel	7
+ PDF Chat	Minimization of Tikhonov Functionals in Banach Spaces	2008	Thomas Bonesky Kamil S. Kazimierski Peter Maaß Frank Schöpfer Thomas Schuster	6
+ PDF Chat	Approximate source conditions in Tikhonov–Phillips regularization and consequences for inverse problems with multiplication operators	2005	Bernd Hofmann	6
+ PDF Chat	Convergence rates and source conditions for Tikhonov regularization with sparsity constraints	2008	Dirk A. Lorenz	6
+	Regularization of ill-posed problems in Banach spaces: convergence rates	2005	Elena Resmerita	6
+	Convergence rates for regularization of ill-posed problems in Banach spaces by approximate source conditions	2008	Torsten Hein	5
+ PDF Chat	Optimal approximations by piecewise smooth functions and associated variational problems	1989	David Mumford Jayant Shah	5
+	Necessary and sufficient conditions for linear convergence of ℓ1-regularization	2010	Markus Grasmair Otmar Scherzer Markus Haltmeier	5
+	The residual method for regularizing ill-posed problems	2011	Markus Grasmair Markus Haltmeier Otmar Scherzer	5
+	Necessary and sufficient conditions for linear convergence of ℓ1-regularization	2011	M. Grasmaier Markus Haltmeier Otmar Scherzer	5
+	A New Approach to Source Conditions in Regularization with General Residual Term	2010	Jens Flemming Bernd Hofmann	5
+	Tikhonov regularization in Banach spaces—improved convergence rates results	2009	Torsten Hein	5
+ PDF Chat	Shape Analysis of Elastic Curves in Euclidean Spaces	2010	Anuj Srivastava Eric Klassen S. K. Joshi Ian H. Jermyn	5
+	Linear convergence rates for Tikhonov regularization with positively homogeneous functionals	2011	Markus Grasmair	5
+	Improved and extended results for enhanced convergence rates of Tikhonov regularization in Banach spaces	2010	Andreas B. Neubauer Torsten Hein Bernd Hofmann Stefan Kindermann Ulrich Tautenhahn	4
+	On Tikhonov regularization with non-convex sparsity constraints	2009	Clemens A Zarzer	4
+	Non-convex sparse regularisation	2009	Markus Grasmair	4
+	Theory of Linear Ill-Posed Problems and its Applications	2002	В. К. Иванов В. В. Васин Vitalii P. Tanana	4
+	A posteriori error estimates for the solution of nonlinear ill-posed operator equations	2001	Otmar Scherzer	4
+	Well-posedness and convergence rates for sparse regularization with sublinear $l^q$ penalty term	2009	Markus Grasmair	4
+ PDF Chat	Locally adaptive regression splines	1997	Enno Mammen Sara van de Geer	4
+	Regularization with non-convex separable constraints	2009	Kristian Bredies Dirk A. Lorenz	4
+ PDF Chat	Local Extremes, Runs, Strings and Multiresolution	2001	P. L. Davies A. Kovac	4
+ PDF Chat	Decoding by Linear Programming	2005	Emmanuel J. Candès Terence Tao	3
+	The inverse function theorem of Nash and Moser	1982	Richard S. Hamilton	3
+	On Shape of Plane Elastic Curves	2006	Washington Mio Anuj Srivastava Shantanu H. Joshi	3
+	Signal Recovery by Proximal Forward-Backward Splitting	2005	Patrick L. Combettes Valérie R. Wajs	3
+	On enhanced convergence rates for Tikhonov regularization of nonlinear ill-posed problems in Banach spaces	2009	Andreas B. Neubauer	3
+ PDF Chat	Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter	2000	Michael Vogelius Darko Volkov	3
+	Approximation of functional depending on jumps by elliptic functional via t‐convergence	1990	Luigi Ambrosio Vincenzo Maria Tortorelli	3
+	Approximate source conditions for nonlinear ill-posed problems—chances and limitations	2009	Torsten Hein Bernd Hofmann	3
+ PDF Chat	Multi-parameter regularization and its numerical realization	2010	Shuai Lu Sergei V. Pereverzev	3
+ PDF Chat	Damping Noise-Folding and Enhanced Support Recovery in Compressed Sensing	2015	Steffen Peter Marco Artina Massimo Fornasier	3
+ PDF Chat	A Study in the BV Space of a Denoising—Deblurring Variational Problem	2001	Luminita A. Vese	3
+	Solution smoothness of ill-posed equations in Hilbert spaces: four concepts and their cross connections	2011	Jens Flemming	3
+	On Converse and Saturation Results for Tikhonov Regularization of Linear Ill-Posed Problems	1997	Andreas B. Neubauer	3
+ PDF Chat	Integral Invariant Signatures	2004	Siddharth Manay Byung‐Woo Hong Anthony Yezzi Stefano Soatto	3
+	Geometric Measure Theory	1988	Herbert Fédérer	3
+ PDF Chat	Least angle regression	2004	Bradley Efron Trevor Hastie Iain M. Johnstone Robert Tibshirani	3
+	Error estimates for non-quadratic regularization and the relation to enhancement	2006	Elena Resmerita Otmar Scherzer	3
+	Convex Analysis and Monotone Operator Theory in Hilbert Spaces	2017	Heinz H. Bauschke Patrick L. Combettes	3