Elena Resmerita's publications
- S. KINDERMANN, E. RESMERITA and T. WOLF: Multiscale hierarchical decomposition methods for ill-posed problems, Inverse Problems 39 (2023), Paper No. 125013, 36 pp. 015009.
- J. DARBON, T. MENG and E. RESMERITA: On Hamilton-Jacobi PDEs and image denoising models with certain nonadditive noise, J. Math. Imaging Vision 64 (2022), 408–441.
- D. GHILLI, D. LORENZ and E. RESMERITA: Nonconvex flexible sparsity regularization: theory and monotone numerical schemes, Optimization, 71 (2022), no. 4, 1117–1149.
- W. LI, E. RESMERITA and L. VESE, Multiscale hierarchical image decomposition and refinements: qualitative and quantitative results, SIAM J. Imaging Sci. 14 (2021), 844–877.
2020.
- M. BURGER, E. RESMERITA and M. BENNING: An entropic Landweber method for linear ill-posed problems, Inverse Problems, 36 (2020) 015009.
- C. CLASON, B. KALTENBACHER, and E. RESMERITA: Regularization of ill-posed problems with non-negative solutions, Splitting Algorithms, Modern Operator Theory and Applications, H. Bauschke, R. Burachik, R. Luke (eds.), Springer, 2019, arXiv:1805.01722
- D. LORENZ, E. RESMERITA: Flexible sparse regularization, Inverse Problems, 33 (2017) 014002.
- K. BREDIES, B. KALTENBACHER and E. RESMERITA: The least error method for sparse solution reconstruction, Inverse Problems 32 (2016), 094001.
- B. HOFMANN, B. KALTENBACHER and E. RESMERITA: Lavrentiev's regularization method in Hilbert spaces revisited, Inverse Problems and Imaging 10 (2016), 741-764.
- B. KALTENBACHER, E. RESMERITA and F. RENDL: Computing quasisolutions of nonlinear inverse problems via efficient minimization of trust region problems, Journal of Ill-Posed Inverse Problems, published online March 2016, doi:10.1515/jiip-2015-00872016.
- U. HÄMARIK, B. KALTENBACHER, U. KANGRO and E. RESMERITA: Discretization by projection in Banach spaces, Inverse Problems 32 (2016) 035004, doi:10.1088/0266-5611/32/3/035004
- C. KIRISITS, C. PÖSCHL, E. RESMERITA and O. SCHERZER: Total variation regularization discretization using hexagonal pixels, Applicable Analysis, 94 (2015) 612–636.
- S. KINDERMANN, L. MUTIMBU and E. RESMERITA: A numerical study of heuristic parameter choice rules for total variation regularization. Journal of Ill-Posed Inverse Problems 22 (2014), no. 1, 63–94.
- E. RESMERITA: Towards using coderivatives for convergence rates in regularization. In: Optimization Theory and Related Topics, Contemporary Mathematics, 568, Amer. Math. Soc., Providence, RI, 2012, 241–249.
- M. JUNG, E. RESMERITA and L. VESE: Dual norm based iterative methods for image restoration. Journal of Mathematical Imaging and Vision (2011) DOI: 10.1007/s10851-011-0318-7 .
- K. FRICK, D. LORENZ and E. RESMERITA: Morozov's principle for the augmented Lagrangian method applied to linear inverse problems. SIAM Journal on Multiscale Modeling and Simulation 9 (2011) 1528-1548.
- M. JUNG, E. RESMERITA and L. VESE: An iterative method with general convex fidelity term for image restoration. The 11th European Conference on Computer Vision (ECCV) 2010, Crete, Greece. Lecture Notes in Computer Science, 2010, Volume 6311/2010, 185-199, DOI: 10.1007/978-3-642-15549-9_14 .
- C. POESCHL, E. RESMERITA and O. SCHERZER: Discretization of variational regularization in Banach spaces, Inverse Problems, 26 (2010) 105017.
- A. N. IUSEM and E. RESMERITA: A proximal point method in nonreflexive Banach spaces. Set-Valued and Variational Analysis 18 (2010) 109-120.
- R. RAMLAU and E. RESMERITA: Convergence rates for regularization with sparsity constraints. Electronic Transactions on Numerical Analysis, 37 (2010) 87-104.
- D. BUTNARIU, E. RESMERITA and S. SABACH: A Mosco stability theorem for generalised proximal mappings. In: Nonlinear Analysis and Optimization I, Contemporary Mathematics, 513, Amer. Math. Soc., Providence, RI, 2010, 99-110.
- M. HALTMEIER, A. LEITAO, and E. RESMERITA: On regularization methods of EM-Kaczmarz type, Inverse Problems 25, 2009, p. 075008.
- E. RESMERITA, H.W. ENGL, and A.N. IUSEM: The EM algorithm for ill-posed integral equations: a convergence analysis, Inverse Problems 23 (6):2575--2588, 2007. Corrigendum: The expectation-maximization algorithm for ill-posed integral equations: a convergence analysis. Inverse Problems 24 (5), 059801, 1 p, 2008.
- M. BURGER, E. RESMERITA and L. HE: Error estimation for Bregman iterations and inverse scale space methods in image restoration, Computing 81(2-3): 109-135, 2007.
- E. RESMERITA and R.S. ANDERSSEN: Joint additive Kullback-Leibler residual minimization and regularization for linear inverse problems, Mathematical Methods in the Applied Sciences, 30(13) (2007) 1527-1544.
- D. BUTNARIU and E. RESMERITA: Mosco stability of proximal mappings in reflexive Banach spaces, Journal of Nonlinear and Convex Analysis 8(1) (2007).
- E. RESMERITA and O. SCHERZER: Error estimates for non-quadratic regularization and the relation to enhancing, Inverse Problems 22 (2006) 801-814.
- D. BUTNARIU and E. RESMERITA: Bregman distances, totally convex functions and a method for solving operator equations, Abstract and Applied Analysis, Article ID 84919, 39 pages (2006).
- E. RESMERITA: Regularization of ill-posed problems in Banach spaces: convergence rates, Inverse Problems 21 (2005) 1303-1314.
- E. RESMERITA: On total convexity, Bregman projections and stability in Banach spaces, Journal of Convex Analysis 11(1) (2004) 1-16.
- D. BUTNARIU and E. RESMERITA: Averaged subgradient methods for constrained convex optimization and Nash equilibria computation, Optimization 51(6) (2002) 863-888.
- D. BUTNARIU and E. RESMERITA: The outer Bregman projection method for solving stochastic convex feasibility problems in Banach spaces, in: D. Butnariu, Y. Censor and S. Reich (eds.), pp.69-86, ''Inherently Parallel Algorithms in Feasibility and Optimization and their Applications'', Elsevier, Amsterdam, 2001.
- D. BUTNARIU, A.N. IUSEM and E. RESMERITA: Total convexity for powers of the norm in uniformly convex Banach spaces, Journal of Convex Analysis 7(2) (2000) 319-334.