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Publications

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Books


  1. Theoretical Foundations and Numerical Methods for Sparse Recovery, (Massimo Fornasier Ed.) Radon Series on Computational and Applied Mathematics 9, 2010 [ link ]

Submitted preprints to refereed conferences and journals.

  1. Mean field control hierarchy (with G. Albi, Y.-P. Choi, and D. Kalise), August 2016, pp. 40 [ .pdf ]

  2. Learning and sparse control of multiagent systems, Proc. 7thECM, pp. 31 [ .pdf ]

  3. Inferring Interaction Rules from Observations of Evolutive Systems I: The Variational Approach (with M. Bongini, M. Hansen, and M. Maggioni), submitted January 2016, pp. 46 [ .pdf ]

  4. Conjugate gradient acceleration of iteratively re-weighted least squares methods (with S. Peter, H. Rauhut, S. Worm), submitted to Comp. Optim. Appl., September 2015, pp 45 [ .pdf ]

  5. Linearly constrained evolutions of critical points and an application to cohesive fractures, (with M. Artina, F. Cagnetti, and F. Solombrino), submitted, August 2015 pp. 34 [ .pdf ]

  6. Rotation Invariance in Exemplar-based Image Inpainting (with M. Eller), submitted book chapter for the Radon Series on Computational and Applied Mathematics, pp. 80 [ .pdf]

  7. Mean-field Pontryagin maximum principle (with M. Bongini, F. Rossi, and F. Solombrino) submitted, Apr. 2015, pp. 36 [ .pdf ]

  8. Consistency of probability measure quantization by means of power repulsion-attraction potentials (with J.-C. Hütter), submitted to J. Fourier Anal. Appl., Feb. 2015, pp. 50 [ .pdf ]

  9. Numerical analysis on Cucker-Smale collective behavior models (with F. Vecil), submitted to Physica D, February 2013, pp. 43 [ .pdf ]



Refereed journal papers.

  1. Mean-field sparse optimal control (with B. Piccoli and F. Rossi), Phil. Trans. Royal Soc. A, in ”Partial differential equation models in the socio-economic sciences” organised and edited by Peter Markowich, Martin Burger and Luis Caffarelli, Vol. 372, No. 2028, 2014.[ .pdf ]

  2. Anisotropic mesh adaptation for crack detection in brittle materials (with M. Artina, S. Micheletti, and S. Perotto) to appear in SIAM J. Sci. Comput., pp. 25 [ .pdf ]

  3. Multilevel preconditioning for sparse optimization of functionals with nonconvex fidelity terms (with S. Dahlke, U. Friedrich, and T. Raasch), to appear in Journal of Inverse and Ill-posed Problems, pp. 48 [ .pdf ]

  4. Sparse Control of Alignment Models in High Dimension (with M. Bongini, O. Junge, and B. Scharf) to appear Networks and Heterogeneous Media, pp. 39 [ .pdf ]

  5. Damping Noise-Folding and Enhanced Support Recovery in Compressed Sensing (with M. Artina, and S. Peter), IEEE Trans. Signal Proc., Vol 63, No. 22, pp. 5990-6002, November 2015 [ .pdf ] [ Software ]

  6. Sparse stabilization and control of alignment models (with M. Caponigro, B. Piccoli and E. Trelat), Math. Models Methods Appl. Sci., Vol. 25, No. 3, 2015, pp. 521-564 [ .pdf ]

  7. (Un)conditional consensus emergence under perturbed and decentralized feedback controls (M. Bongini and D. Kalise), Discrete and Continuous Dynamical Systems, Vol. 35, No. 5, 2015, pp. 4071 - 4094 [ .pdf ]

  8. Sparse stabilization of dynamical systems driven by attraction and avoidance forces (with M. Bongini), Networks and Heterogeneous Media, Volume 9, Issue 1, March 2014, pp. 1–31[ .pdf ]

  9. Quasi-linear compressed sensing (with M.Ehler and J. Sigl), Multiscale Modeling and Simulation, Vol. 12, No. 2, pp. 725-754, 2014 [ .pdf ] [ Software ]

  10. Parameter choice strategies for multipenalty regularization. (with V. Naumova, and S. V. Pereverzyev), SIAM J. Numer. Anal., Vol. 52, No. 4, 2014, pp. 1770-1794 [ .pdf ]

  11. Mean-field optimal control (with F. Solombrino),ESAIM: Control, Optimization, and Calculus of Variations, Vol. 20, No. 4, 2014, pp. 1123-1152[ .pdf ]

  12. Asymptotic behavior of gradient flows driven by nonlocal power repulsion and attraction potentials in one dimension. (with M. Di Francesco, J.-C. Hütter, and D. Matthes), SIAM J. Math. Anal., Vol. 46, No. 6, 2014, pp. 3814-3837 [ .pdf ]

  13. Linearly constrained nonsmooth and nonconvex minimization (with M. Artina and F. Solombrino), SIAM J. OPTIM., Vol. 23, No. 3, 2013, pp. 1904–1937 [ .pdf ]

  14. Existence of minimizers of the Mumford and Shah functional with singular operators and unbounded data (with R. March and F. Solombrino), Ann. Mat. Pura Appl., Vol. 192, No. 3, 2013, pp. 361-391 [ .pdf ]

  15. Particle systems and kinetic equations modeling interacting agents in high dimension (with J. Haskovec and J. Vybiral), Multiscale Modeling and Simulation, Vol. 81, No. 277, 2012, pp. 419-446 [ .pdf ]

  16. Sparse Stabilization and Optimal Control of the Cucker-Smale Model (with M. Caponigro, B. Piccoli, and E. Trélat), Mathematical Control And Related Fields, Vol. 3, No. 4, December 2013, pp. 447-466 [ .pdf ]

  17. Consistency of variational continuous-domain quantization via kinetic theory (with J. Haskovec and G. Steidl), Applicable Analysis, Vol. 92, No. 6, 2013, pp. 1283-1298 [ .pdf ]

  18. Wavelet decomposition method for L2/TV-image deblurring (with Y. Kim, A. Langer, and C.-B. Schoenlieb), SIAM J. Imag. Sci., 5, No. 3, 2012, pp. 857-885 [ .pdf ]

  19. Learning functions of few arbitrary linear parameters in high dimensions (with K. Schnass and J.Vybiral),Found. Comput. Math., Vol. 2, No. 2, 2012, pp. 229-262 [ .pdf ]

  20. Low rank matrix recovery via iteratively reweighted least squares minimization (with H. Rauhut and R. Ward), SIAM J. Opt., Vol. 21, no. 4, 2011, pp. 1614-164 [ .pdf ]

  21. Multilevel preconditioning for adaptive sparse optimization (with S. Dalhke and T. Raasch), Math. Comput., Vol. 81, 2012, pp. 419-446, extended preprint version 48 pp. [ .pdf ]

  22. Fluid dynamic description of flocking via Povzner-Boltzmann equation (with J. Haskovec G. Toscani), Physica D (nonlinear phenomena), Vol. 240, no. 1, 2011, pp. 21-31 [ .pdf ]

  23. A convergent overlapping domain decomposition method for total variation minimization (with A. Langer and C.-B. Schoenlieb), Numer. Math., Vol. 116, no. 4, 2010, pp. 645-685[ .pdf ] [ Matlab software ]

  24. A kinetic flocking model with diffusion (with R. Duan and G. Toscani), Commun. Math. Phys., Vol. 300, no. 1, 2010, pp. 95-145 [ .pdf ]

  25. Iterative thresholding meets free-discontinuity problems (with R. Ward), Found. Comput. Math., Vol. 10, no. 5, 2010, pp. 527-567 [ .pdf ]

  26. Asymptotic flocking dynamics for the kinetic Cucker-Smale model (with J. A. Carrillo, J. Rosado, and G. Toscani), SIAM. J. Math. Anal., Vol. 42, no. 1, 2010, pp. 218-236 [ .pdf ]

  27. Optimal adaptive computation in the Jaffard algebra and localized frames (with S. Dahlke and K. Groechenig), J. Approx. Theory, Vol. 162, no. 1, 2010, pp. 153-185. [ .pdf ]

  28. Subspace correction methods for total variation and l1-minimization, (with C. Schoenlieb), SIAM J. Numer. Anal., Vol. 47, no. 5, 2009, pp. 3397-3428 [ .pdf ] [ Matlab software ]

  29. Iteratively re-weighted least squares minimization for sparse recovery, (with I. Daubechies, R. DeVore, and C.-S. Gunturk), Commun. Pure Appl. Math., Vol. 63, no. 1, 2010, pp. 1-38 [ .pdf ], [ poster ], Matlab code [ irwls_main.m , it_min_l2_w_fast.m ]

  30. A comparison of joint sparsity and total variation minimization algorithms in a real-life art restoration problem (with G. Teschke and R. Ramlau), Adv. Comput. Math., Vol. 31, Nos 1-3, 2009, pp. 301-329[ .pdf ] [ Simulation movie ]

  31. Nonlinear and adaptive frame approximation schemes for elliptic PDEs: theory and numerical experiments (with S. Dahlke, M. Primbs, T. Raasch, M. Werner), Numerical Methods for Partial Differential Equations, Vol. 25, no. 6 ,2009, pp. 1366-1401, 2008, 43 pp. [ .pdf ]

  32. Iterative thresholding algorithms (with H. Rauhut), Appl. Comput. Harmon. Anal., Vol. 25, No. 2, 2008, pp. 187-208 [ .pdf ]

  33. Adaptive frame methods for nonlinear variational problems (with M. Charina and C. Conti), Numer. Math., Vol. 109, No. 1, 2008, pp. 45-75 [ .pdf ]

  34. Domain decomposition methods for linear inverse problems with sparsity constraints, Inverse Problems, Vol. 23, 2007, pp. 2505-2526. [ .pdf ]

  35. Accelerated projected gradient method for linear inverse problems with sparsity constraints (with I. Daubechies and I. Loris), J. Fourier Anal. Appl., Vol. 14, No. 5-6, 2008, pp. 764-792. [ .pdf ]

  36. Recovery algorithms for vector valued data with joint sparsity constraints (with H. Rauhut), SIAM J. Numer. Anal., Vol. 46, No. 2, 2008, pp. 577-613 [ .pdf ]

  37. Restoration of color images by vector valued BV functions and variational calculus (with R. March), SIAM J. Appl. Math., Vol. 68 No. 2, 2007, pp. 437-460. [ .pdf ] This article has been used for public awareness by SIAM (Society of Industrial and Applied Mathematics) [ link ], see directly [ .pdf ]

  38. Adaptive iterative thresholding algorithms for magnetoencephalography (MEG) (with F. Pitolli), J. Comput. Appl. Math., Vol. 221 No. 2, 2008, pp. 386-395 [ .pdf ] extended preprint (with more proofs and comments) [ .pdf ]

  39. Sampling theorems on bounded domains (with L. Gori), J. Comput. Appl. Math., 2007, Vol. 221 No. 2, 2008, pp. 376-385 extended preprint (with more proofs and comments) [ .pdf ]

  40. Generalized coorbit theory, Banach frames, and the relation to alpha-modulation spaces (with S. Dahlke, H. Rauhut, G. Steidl, and G. Teschke), Proc. London Math. Soc., 96, No. 2, 2008, pp. 464-506. [ .pdf ]

  41. Adaptive frame methods for elliptic operator equations: the steepest descent approach (with S. Dahlke, T. Raasch, R. Stevenson and M. Werner), IMA J. Numer. Anal., Vol. 27 No. 4, 2007, pp. 717-740 [ .pdf ]

  42. Banach frames for alpha-modulation spaces, Appl. Comp. Harmon. Anal., Vol. 22, No. 2, 2007, pp. 157-175. [ .pdf ]

  43. Adaptive frame methods for elliptic operator equations, (with S. Dahlke and T. Raasch) Adv. Comp. Math., Vol. 27 No. 1, 2007, pp. 27-63 [ .pdf ]

  44. On some stability results of localized atomic decompositions, Rend. Mat. Appl., No. 26, 2006, pp. 315-325.

  45. Nonlinear projection recovery in digital inpainting for color image restoration, J. Math. Imaging Vis. Vol. 24, No. 3, 2006, pp. 359-373.

  46. Flexible Gabor-wavelet atomic decompositions for L2 Sobolev spaces (with H. G. Feichtinger), Ann. Mat. Pura Appl. Vol. 185(4), No. 1, 2006, pp. 105-131. [ .pdf ]

  47. Continuous frames, function spaces, and the discretization problem (with H. Rauhut), J. Fourier Anal. Appl., Vol. 11, No. 3, 2005, pp. 245-287. [ .pdf ]

  48. Intrinsic localization of frames (with K. Groechenig), Constr. Approx., Vol. 22, 2005, pp. 395-415. [ .pdf ]

  49. Fast homogenization algorithm based on asymptotic theory and multiscale schemes (with M. Morandi Cecchi), Numer. Algorithms, Vol. 40, No. 2, 2005, pp. 171-186

  50. Fast, robust, and efficient 2D pattern recognition for re-assembling fragmented images (with D. Toniolo), Pattern Recognition, Vol. 38, 2005, pp. 2074-2087. [ .pdf ] [ Simulation movie ] (by Rocco Cazzato [ link ])

  51. Quasi-orthogonal decompositions of structured frames, J. Math. Anal. Appl. Vol. 289, No. 1, 2004, pp. 180-199.

  52. Function spaces inclusions and rate of convergence of Riemann-type sums in numerical integration, Numer. Funct. Anal. Opt., Vol. 24, Nos. 1 & 2, 2003, pp. 45-57.

Conference papers

  1. Anisotropic adaptive meshes for brittle fractures: parameter sensitivity (with M. Artina, S. Micheletti, and S. Perotto), ENUMATH conference proceeding, November 2013, pp. 8 [ .pdf ]

  2. Sparse control of force field dynamics (with M. Bongini, F. Fröhlich, and L. Haghverdi), Proceedings of the International Conference on NETwork Games COntrol and oPtimization 2014, ISBN: 978-88-
8443-574-3, November 2014, pp. 6 [ .pdf ]
  1. Mathematical methods for spectral image reconstruction (with W. Baatz and J. Haskovec), Proceedings of the workshop Scientific Computing for Cultural Heritage, Heidelberg Germany, November 2009.

  2. Binary based fresco restoration (with W. Baatz, P. Markowich, and C.-B. Schönlieb), Proceedings of the conference Bridge 2009: Mathematics, Music, Art, Architecture, Culture, 337-338 pp. [ .pdf ]

  3. Compressive Algorithms. Adaptive Solutions of PDE's and Variational Problems, Proceedings of the IMA Mathematics of Surfaces XIII conference, 2009 [ .pdf ]

  4. Domain decomposition methods for compressed sensing (with A. Langer and C.-B. Schönlieb), Proc. Int. Conf. SampTA09, Marseilles, 2009 [ .pdf ]

  5. Electric current density imaging via an accelerated iterative algorithm with joint sparsity constraints (with G. Bretti and F. Pitolli), Proc. SPARS'09 - Signal Processing with Adaptive Sparse Structured Representations, 2009 [ .pdf ]

  6. Mathematics enters the picture, Proceedings of the conference Mathknow 2008 [ .pdf ]

  7. Iteratively Re-weighted Least Squares Minimization: Proof of Faster than Linear Rate for Sparse Recovery (with I. Daubechies, R. DeVore, and S. Gunturk), Information Sciences and Systems, 2008. CISS 2008. 42nd Annual Conference on Volume , Issue , 19-21 March 2008 pp. 26-29 [ .pdf ]

  8. Inpainting of ancient Austrian frescoes (with W. Baatz, C.-B. Schoenlieb, and P. Markowich), International Conference Bridges: Mathematical Connections in Art, Music, and Science, 2008.

  9. Faithful recovery of vector valued functions from incomplete data. Recolorization and art restoration, Lecture Notes in Computer Science, Volume 4485/2007, Proceedings of the First International Conference on Scale Space Methods and Variational Methods in Computer Vision (Sgallari, Fiorella; Murli, Almerico; Paragios, Nikos Eds.), 2007, pp. 116-127.

  10. On elementary sampling theorems on bounded domains (with L. Gori), Proc. Int. Conf. ICNAAM 2005 (Ed. Simos Theodore S. et al.), Weinheim: Wiley-VHC, pp. 619-623.

  11. Building a bridge between Gabor and wavelet worlds, Mini-Workshop: Wavelets and Frames, Feb. 15-21 2004, Oberwolfach Reports, 1(1), 2004, pp. 490-494.

  12. Decompositions of Hilbert spaces: local construction of global frames, Proc. Int. Conf. Constructive Function theory 2002, Varna, DARBA, Sofia, 2003, pp. 275-281. [ .pdf ]


Book Chapters

  1. An Overview on Algorithms for Sparse Recovery (with S. Peter), chapter in Sparse Reconstruction and Compressive Sensing in Remote Sensing, ed. X. Zhu and R. Bamler, Springer, June 2015, pp 76 [ .pdf ]

  2. Sparse control of multiagent systems (with M. Bongini), N. Bellomo P. Degond and E. Tadmor (ed.), Birkhäuser-Springer, to appear. [ .pdf ]

  3. Particle, kinetic, hydrodynamic models of swarming (with J. A. Carrillo, G. Toscani, and F. Vecil), within the book “Mathematical modeling of collective behavior in socio-economic and life-sciences”, Birkhäuser (in preparation, Eds. Lorenzo Pareschi, Giovanni Naldi, and Giuseppe Toscani), 2010. [ .pdf ]

  4. Numerical methods for sparse recovery within the book “Theoretical Foundations and Numerical Methods for Sparse Recovery”, (Massimo Fornasier Ed.) Radon Series in Applied and Computational Mathematics 9, de Gruyter, 2010 [ .pdf ]

  5. Compressive Sensing (with Holger Rauhut), book chapter in the "Handbook of Mathematical Methods in Imaging" which will be published by
    Springer, Science+Business Media. [ .pdf ]

  6. Il Progetto Mantegna: storia e risultati (Italian) (with R. Cazzato, G. Costa, A. Dal Farra, D. Toniolo, D. Tosato, C. Zanuso), in "Andrea Mantegna. La Cappella Ovetari a Padova" (Anna Maria Spiazzi, Alberta De Nicolo' Salmazo, Domenico Toniolo eds.), Skira, 2006. [ .pdf ] Buy the book [ link ]

  7. Computer-based re-composition of the frescoes in the Ovetari Chapel in the Church of the Eremitani in Padua. Methodology and initial results, (Italian/English) (with D. Toniolo), in "Mantegna nella chiesa degli Eremitani a Padova. Il recupero possibile" Ed. Skira, May 2003, pp. 15-23.


    Miscellaneous

  8. Compressive Algorithms. Adaptive Solutions of PDE's and Variational Problems, Habilitationsschrift, Faculty of Mathematics, University of Vienna, January 2008, pp. 426. [ .pdf ]

  9. Introduzione all'analisi armonica numerica (Italian), Lecture notes, 2003, second edition, 2007 112 pp. [ .pdf ]

  10. Constructive Methods for Numerical Applications in Signal Processing and Homogenization Problems, PhD thesis, University of Padua, Dec. 2002.

  11. Un metodo per la rappresentazione e il confronto di immagini a meno di rotazioni. Un contributo alla ricostruzione virtuale degli affreschi della Chiesa degli Eremitani in Padova (Italian), Laurea thesis, Department of Pure and Applied Mathematics, University of Padua, Oct. 1999.

  12. Proposta per una anastilosi informatica degli affreschi della Capella Ovetari nella Chiesa degli Eremitani in Padova (Italian) (with C. Fanin and D. Toniolo), technical report DFPD 02/EI/31, Department of Physics "G. Galilei", University of Padua.

  13. Compactly supported circular harmonics: fast, robust and efficient 2D pattern recognition, (with D. Toniolo), technical report DFPD 02/EI/32, Department of Physics "G. Galilei", University of Padua.

  14. Una discussione matematica sulla rappresentazione ed il confronto di immagini a meno di rotazioni. Un contributo alla ricostruzione informatica degli affreschi nella Chiesa degli Eremitani in Padova (Italian), nota interna DFPD 99/EI/24, Department of Physics "G. Galilei", University of Padua.