Edit Profile (opens in new tab) Fornasier, Massimo Co-Author Distance Author ID: fornasier.massimo Published as: Fornasier, Massimo; Fornasier, M. External Links: MGP Documents Indexed: 99 Publications since 2003, including 14 Additional arXiv Preprints 1 Contribution as Editor Co-Authors: 95 Co-Authors with 88 Joint Publications 3,094 Co-Co-Authors all top 5 Co-Authors 12 single-authored 8 Dahlke, Stephan 8 Rauhut, Holger 7 Bongini, Mattia 6 Artina, Marco 6 Raasch, Thorsten 5 Klock, Timo 5 Solombrino, Francesco 4 Huang, Hui 4 Riedl, Konstantin 4 Schönlieb, Carola-Bibiane 4 Toscani, Giuseppe 3 Daubechies, Ingrid Chantal 3 Haskovec, Jan 3 Kalise, Dante 3 Langer, Andreas 3 Micheletti, Stefano 3 Naumova, Valeriya 3 Pareschi, Lorenzo 3 Perotto, Simona 3 Piccoli, Benedetto 3 Rauchensteiner, Michael 3 Savaré, Giuseppe 3 Sünnen, Philippe 3 Vybíral, Jan 2 Albi, Giacomo 2 Caponigro, Marco 2 Carrillo de la Plata, José Antonio 2 Charina, Maria 2 Cipriani, Cristina 2 Conti, Costanza 2 Diening, Lars 2 Gori, Laura 2 Gröchenig, Karlheinz 2 Hütter, Jan-Christian 2 March, Riccardo 2 Peter, Steffen 2 Rossi, Francesco 2 Sodini, Giacomo Enrico 2 Steidl, Gabriele 2 Sun, Lukang 2 Teschke, Gerd 2 Trélat, Emmanuel 2 Wank, Maximilian 2 Ward, Rachel A. 2 Werner, Manuel 1 Almi, Stefano 1 Ambrosio, Luigi 1 Bonafini, Mauro 1 Bonnet, Benoît 1 Cagnetti, Filippo 1 Choi, Young-Pil 1 De Vito, Ernesto 1 DeVore, Ronald A. 1 Di Francesco, Marco 1 Duan, Renjun 1 Ehler, Martin 1 Eller, Martin 1 Feichtinger, Hans Georg 1 Fiedler, Christian 1 Frcöhlich, Fabian 1 Friedrich, Ulrich 1 Geldhauser, Carina 1 Güntürk, Cemalettin Sinan 1 Haghverdi, Laleh 1 Hansen, Markus 1 Heid, Pascal 1 Hong, Danfeng 1 Huber, Richard 1 Junge, Oliver 1 Kim, Yunho 1 Lisini, Stefano 1 Loris, Ignace 1 Maggioni, Mauro 1 Maly, Johannes 1 Matthes, Daniel 1 Morandi Cecchi, Maria 1 Morandotti, Marco 1 Orrieri, Carlo 1 Palzer, Lars 1 Pereverzev, Sergei V. 1 Pitolli, Francesca 1 Primbs, Miriam 1 Ramlau, Ronny 1 Richtárik, Peter 1 Rosado, Jesús 1 Scagliotti, Alessandro 1 Scharf, Benjamin 1 Schmitzer, Bernhard 1 Schnass, Karin 1 Sigl, Juliane 1 Stevenson, Rob P. 1 Tomasi, R. 1 Vecil, Francesco 1 Worm, Stephan 1 Zhu, Xiao Xiang all top 5 Serials 4 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 SIAM Journal on Optimization 3 Applied and Computational Harmonic Analysis 3 The Journal of Fourier Analysis and Applications 2 Communications on Pure and Applied Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Computational and Applied Mathematics 2 Constructive Approximation 2 SIAM Journal on Mathematical Analysis 2 Advances in Computational Mathematics 2 Foundations of Computational Mathematics 2 Multiscale Modeling & Simulation 2 Networks and Heterogeneous Media 1 Applicable Analysis 1 Communications in Mathematical Physics 1 IMA Journal of Numerical Analysis 1 Inverse Problems 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Applied Mathematics and Optimization 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerical Functional Analysis and Optimization 1 Proceedings of the London Mathematical Society. Third Series 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Physica D 1 Numerical Methods for Partial Differential Equations 1 European Journal of Applied Mathematics 1 IEEE Transactions on Signal Processing 1 Numerical Algorithms 1 SIAM Journal on Applied Mathematics 1 Journal of Mathematical Imaging and Vision 1 Computational Optimization and Applications 1 SIAM Journal on Scientific Computing 1 Journal of Inverse and Ill-Posed Problems 1 Discrete and Continuous Dynamical Systems 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Machine Learning Research (JMLR) 1 Analysis and Applications (Singapore) 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 SIAM Journal on Imaging Sciences 1 Radon Series on Computational and Applied Mathematics 1 Mathematical Control and Related Fields 1 Information and Inference all top 5 Fields 51 Numerical analysis (65-XX) 32 Calculus of variations and optimal control; optimization (49-XX) 20 Partial differential equations (35-XX) 20 Computer science (68-XX) 19 Information and communication theory, circuits (94-XX) 15 Operations research, mathematical programming (90-XX) 14 Harmonic analysis on Euclidean spaces (42-XX) 11 Functional analysis (46-XX) 11 Systems theory; control (93-XX) 9 Operator theory (47-XX) 5 Dynamical systems and ergodic theory (37-XX) 5 Convex and discrete geometry (52-XX) 5 Mechanics of deformable solids (74-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 Ordinary differential equations (34-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Measure and integration (28-XX) 3 Approximations and expansions (41-XX) 3 Probability theory and stochastic processes (60-XX) 3 Biology and other natural sciences (92-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Integral equations (45-XX) 2 Fluid mechanics (76-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Mechanics of particles and systems (70-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 78 Publications have been cited 2,133 times in 1,381 Documents Cited by ▼ Year ▼ Asymptotic flocking dynamics for the kinetic Cucker-Smale model. Zbl 1223.35058 Carrillo, J. A.; Fornasier, M.; Rosado, J.; Toscani, G. 261 2010 Particle, kinetic, and hydrodynamic models of swarming. Zbl 1211.91213 Carrillo, José A.; Fornasier, Massimo; Toscani, Giuseppe; Vecil, Francesco 189 2010 Iteratively reweighted least squares minimization for sparse recovery. Zbl 1202.65046 Daubechies, Ingrid; DeVore, Ronald; Fornasier, Massimo; Güntürk, C. Sinan 170 2010 A kinetic flocking model with diffusion. Zbl 1213.35395 Duan, Renjun; Fornasier, Massimo; Toscani, Giuseppe 85 2010 Continuous frames, function spaces, and the discretization problem. Zbl 1093.42020 Fornasier, Massimo; Rauhut, Holger 76 2005 Quasi-orthogonal decompositions of structured frames. Zbl 1058.46009 Fornasier, Massimo 68 2004 Mean-field optimal control. Zbl 1305.49004 Fornasier, Massimo; Solombrino, Francesco 60 2014 Fluid dynamic description of flocking via the Povzner-Boltzmann equation. Zbl 1213.37121 Fornasier, Massimo; Haskovec, Jan; Toscani, Giuseppe 59 2011 Sparse stabilization and control of alignment models. Zbl 1331.49003 Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel 57 2015 Mean-field sparse optimal control. Zbl 1353.49014 Fornasier, Massimo; Piccoli, Benedetto; Rossi, Francesco 55 2014 Intrinsic localization of frames. Zbl 1130.41304 Fornasier, Massimo; Gröchenig, Karlheinz 54 2005 Low-rank matrix recovery via iteratively reweighted least squares minimization. Zbl 1236.65044 Fornasier, Massimo; Rauhut, Holger; Ward, Rachel 49 2011 Sparse stabilization and optimal control of the Cucker-Smale model. Zbl 1275.49003 Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel 48 2013 Anisotropic mesh adaptation for crack detection in brittle materials. Zbl 1325.74134 Artina, Marco; Fornasier, Massimo; Micheletti, Stefano; Perotto, Simona 45 2015 Adaptive frame methods for elliptic operator equations. Zbl 1122.65103 Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten 43 2007 Mean field control hierarchy. Zbl 1378.49024 Albi, Giacomo; Choi, Young-Pil; Fornasier, Massimo; Kalise, Dante 40 2017 Recovery algorithms for vector-valued data with joint sparsity constraints. Zbl 1211.65066 Fornasier, Massimo; Rauhut, Holger 39 2008 Accelerated projected gradient method for linear inverse problems with sparsity constraints. Zbl 1175.65062 Daubechies, Ingrid; Fornasier, Massimo; Loris, Ignace 37 2008 Generalized coorbit theory, Banach frames, and the relation to \({\alpha}\)-modulation spaces. Zbl 1215.42035 Dahlke, Stephan; Fornasier, Massimo; Rauhut, Holger; Steidl, Gabriele; Teschke, Gerd 36 2008 Adaptive frame methods for elliptic operator equations: The steepest descent approach. Zbl 1153.65050 Dahlke, Stephan; Raasch, Thorsten; Werner, Manuel; Fornasier, Massimo; Stevenson, Rob 35 2007 Mean-field Pontryagin maximum principle. Zbl 1386.49003 Bongini, Mattia; Fornasier, Massimo; Rossi, Francesco; Solombrino, Francesco 35 2017 Learning functions of few arbitrary linear parameters in high dimensions. Zbl 1252.65036 Fornasier, Massimo; Schnass, Karin; Vybiral, Jan 32 2012 Banach frames for \(\alpha\)-modulation spaces. Zbl 1203.42039 Fornasier, Massimo 31 2007 Subspace correction methods for total variation and \(\ell_1\)-minimization. Zbl 1203.65098 Fornasier, Massimo; Schönlieb, Carola-Bibiane 29 2009 Mean-field optimal control as gamma-limit of finite agent controls. Zbl 1427.35302 Fornasier, M.; Lisini, S.; Orrieri, C.; Savaré, G. 28 2019 A convergent overlapping domain decomposition method for total variation minimization. Zbl 1206.65170 Fornasier, Massimo; Langer, Andreas; Schönlieb, Carola-Bibiane 26 2010 Consensus-based optimization on hypersurfaces: well-posedness and mean-field limit. Zbl 1467.90039 Fornasier, Massimo; Huang, Hui; Pareschi, Lorenzo; Sünnen, Philippe 25 2020 A relaxed Kačanov iteration for the \(p\)-Poisson problem. Zbl 1442.65362 Diening, L.; Fornasier, M.; Tomasi, R.; Wank, M. 25 2020 Iterative thresholding algorithms. Zbl 1149.65038 Fornasier, Massimo; Rauhut, Holger 24 2008 Compressive sensing. Zbl 1259.94017 Fornasier, Massimo; Rauhut, Holger 24 2011 (Un)conditional consensus emergence under perturbed and decentralized feedback controls. Zbl 1335.93006 Bongini, Mattia; Fornasier, Massimo; Kalise, Dante 23 2015 Inferring interaction rules from observations of evolutive systems. I: The variational approach. Zbl 1368.37017 Bongini, Mattia; Fornasier, Massimo; Hansen, Markus; Maggioni, Mauro 23 2017 Linearly constrained evolutions of critical points and an application to cohesive fractures. Zbl 1358.74053 Artina, Marco; Cagnetti, Filippo; Fornasier, Massimo; Solombrino, Francesco 18 2017 Decompositions of Hilbert spaces: Local construction of global frames. Zbl 1031.42035 Fornasier, Massimo 18 2003 Domain decomposition methods for linear inverse problems with sparsity constraints. Zbl 1131.65042 Fornasier, Massimo 15 2007 Linearly constrained nonsmooth and nonconvex minimization. Zbl 1277.49039 Artina, Marco; Fornasier, Massimo; Solombrino, Francesco 15 2013 Iterative thresholding meets free-discontinuity problems. Zbl 1202.65070 Fornasier, Massimo; Ward, Rachel 15 2010 Sparse stabilization of dynamical systems driven by attraction and avoidance forces. Zbl 1333.93112 Bongini, Mattia; Fornasier, Massimo 14 2014 Parameter choice strategies for multipenalty regularization. Zbl 1304.47012 Fornasier, Massimo; Naumova, Valeriya; Pereverzyev, Sergei V. 12 2014 Consensus-based optimization on the sphere: convergence to global minimizers and machine learning. Zbl 07626752 Fornasier, Massimo; Pareschi, Lorenzo; Huang, Hui; Sünnen, Philippe 12 2021 Spatially inhomogeneous evolutionary games. Zbl 1470.91038 Ambrosio, Luigi; Fornasier, Massimo; Morandotti, Marco; Savaré, Giuseppe 12 2021 Nonlinear and adaptive frame approximation schemes for elliptic PDEs: theory and numerical experiments. Zbl 1181.65137 Dahlke, Stephan; Fornasier, Massimo; Primbs, Miriam; Raasch, Thorsten; Werner, Manuel 11 2009 Anisotropic adaptive meshes for brittle fractures: parameter sensitivity. Zbl 1321.74060 Artina, Marco; Fornasier, Massimo; Micheletti, Stefano; Perotto, Simona 10 2015 Theoretical foundations and numerical methods for sparse recovery. Papers based on the presentations of the summer school “Theoretical foundations and numerical methods for sparse recovery”, Vienna, Austria, August 31 – September 4, 2009. Zbl 1195.94005 10 2010 Restoration of color images by vector valued BV functions and variational calculus. Zbl 1147.68796 Fornasier, Massimo; March, Riccardo 9 2007 Optimal adaptive computations in the Jaffard algebra and localized frames. Zbl 1184.42029 Dahlke, Stephan; Fornasier, Massimo; Gröchenig, Karlheinz 8 2010 Flexible Gabor-wavelet atomic decompositions for \(L^2\) -Sobolev spaces. Zbl 1105.42027 Fornasier, Massimo; Feichtinger, Hans G. 8 2006 Nonlinear projection recovery in digital inpainting for color image restoration. Zbl 1478.94039 Fornasier, Massimo 8 2006 Adaptive iterative thresholding algorithms for magnetoencephalography (MEG). Zbl 1146.92022 Fornasier, Massimo; Pitolli, Francesca 8 2008 Quasi-linear compressed sensing. Zbl 1380.94050 Ehler, Martin; Fornasier, Massimo; Sigl, Juliane 8 2014 Existence of minimizers of the Mumford-Shah functional with singular operators and unbounded data. Zbl 1266.49071 Fornasier, Massimo; March, Riccardo; Solombrino, Francesco 7 2013 Wavelet decomposition method for \(L_2\)/TV-image deblurring. Zbl 1259.65101 Fornasier, M.; Kim, Y.; Langer, A.; Schönlieb, C.-B. 7 2012 Numerical methods for sparse recovery. Zbl 1208.65089 Fornasier, Massimo 6 2010 Conjugate gradient acceleration of iteratively re-weighted least squares methods. Zbl 1353.90115 Fornasier, Massimo; Peter, Steffen; Rauhut, Holger; Worm, Stephan 6 2016 The benefits of anisotropic mesh adaptation for brittle fractures under plane-strain conditions. Zbl 1325.74135 Artina, Marco; Fornasier, Massimo; Micheletti, Stefano; Perotto, Simona 5 2015 Sparse control of alignment models in high dimension. Zbl 1336.93013 Bongini, Mattia; Fornasier, Massimo; Junge, Oliver; Scharf, Benjamin 5 2015 Anisotropic diffusion in consensus-based optimization on the sphere. Zbl 1509.65047 Fornasier, Massimo; Huang, Hui; Pareschi, Lorenzo; Sünnen, Philippe 5 2022 The application of joint sparsity and total variation minimization algorithms to a real-life art restoration problem. Zbl 1169.94004 Fornasier, Massimo; Ramlau, Ronny; Teschke, Gerd 4 2009 Consistency of variational continuous-domain quantization via kinetic theory. Zbl 1273.82030 Fornasier, Massimo; Haškovec, Jan; Steidl, Gabriele 4 2013 A measure theoretical approach to the mean-field maximum principle for training NeurODEs. Zbl 1503.49005 Bonnet, Benoît; Cipriani, Cristina; Fornasier, Massimo; Huang, Hui 4 2023 Robust and resource-efficient identification of two hidden layer neural networks. Zbl 1504.65042 Fornasier, Massimo; Klock, Timo; Rauchensteiner, Michael 4 2022 Damping noise-folding and enhanced support recovery in compressed sensing. Zbl 1394.94457 Peter, Steffen; Artina, Marco; Fornasier, Massimo 4 2015 Robust and resource efficient identification of shallow neural networks by fewest samples. Zbl 1524.68274 Fornasier, Massimo; Vybíral, Jan; Daubechies, Ingrid 4 2021 Adaptive frame methods for nonlinear variational problems. Zbl 1148.65049 Charina, Maria; Conti, Costanza; Fornasier, Massimo 3 2008 Particle systems and kinetic equations modeling interacting agents in high dimension. Zbl 1244.93010 Fornasier, Massimo; Haškovec, Jan; Vybíral, Jan 3 2011 Consistency of probability measure quantization by means of power repulsion-attraction potentials. Zbl 1351.60020 Fornasier, Massimo; Hütter, Jan-Christian 3 2016 Robust recovery of low-rank matrices with non-orthogonal sparse decomposition from incomplete measurements. Zbl 1508.65041 Fornasier, Massimo; Maly, Johannes; Naumova, Valeriya 3 2021 Multilevel preconditioning and adaptive sparse solution of inverse problems. Zbl 1239.65037 Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten 2 2012 Sampling theorems on bounded domains. Zbl 1155.65015 Fornasier, Massimo; Gori, Laura 2 2008 Compressive sensing. 2nd edition. Zbl 1331.94019 Fornasier, Massimo; Rauhut, Holger 2 2015 On some stability results of localized atomic decompositions. Zbl 1134.42334 Fornasier, Massimo 1 2006 Asymptotic behavior of gradient flows driven by nonlocal power repulsion and attraction potentials in one dimension. Zbl 1328.49043 Di Francesco, Marco; Fornasier, Massimo; Hütter, Jan-Christian; Matthes, Daniel 1 2014 Function spaces inclusions and rate of convergence of Riemann-type sums in numerical integration. Zbl 1035.46020 Fornasier, Massimo 1 2003 A machine learning approach to optimal Tikhonov regularization. I: Affine manifolds. Zbl 1493.62438 De Vito, Ernesto; Fornasier, Massimo; Naumova, Valeriya 1 2022 Stable recovery of entangled weights: towards robust identification of deep neural networks from minimal samples. Zbl 07628776 Fiedler, Christian; Fornasier, Massimo; Klock, Timo; Rauchensteiner, Michael 1 2023 Mathematics enters the picture. Zbl 1397.00036 Fornasier, Massimo 1 2009 Learning and sparse control of multiagent systems. Zbl 1401.93014 Fornasier, Massimo 1 2018 Rotation invariance in exemplar-based image inpainting. Zbl 1403.68323 Eller, Martin; Fornasier, Massimo 1 2017 A measure theoretical approach to the mean-field maximum principle for training NeurODEs. Zbl 1503.49005 Bonnet, Benoît; Cipriani, Cristina; Fornasier, Massimo; Huang, Hui 4 2023 Stable recovery of entangled weights: towards robust identification of deep neural networks from minimal samples. Zbl 07628776 Fiedler, Christian; Fornasier, Massimo; Klock, Timo; Rauchensteiner, Michael 1 2023 Anisotropic diffusion in consensus-based optimization on the sphere. Zbl 1509.65047 Fornasier, Massimo; Huang, Hui; Pareschi, Lorenzo; Sünnen, Philippe 5 2022 Robust and resource-efficient identification of two hidden layer neural networks. Zbl 1504.65042 Fornasier, Massimo; Klock, Timo; Rauchensteiner, Michael 4 2022 A machine learning approach to optimal Tikhonov regularization. I: Affine manifolds. Zbl 1493.62438 De Vito, Ernesto; Fornasier, Massimo; Naumova, Valeriya 1 2022 Consensus-based optimization on the sphere: convergence to global minimizers and machine learning. Zbl 07626752 Fornasier, Massimo; Pareschi, Lorenzo; Huang, Hui; Sünnen, Philippe 12 2021 Spatially inhomogeneous evolutionary games. Zbl 1470.91038 Ambrosio, Luigi; Fornasier, Massimo; Morandotti, Marco; Savaré, Giuseppe 12 2021 Robust and resource efficient identification of shallow neural networks by fewest samples. Zbl 1524.68274 Fornasier, Massimo; Vybíral, Jan; Daubechies, Ingrid 4 2021 Robust recovery of low-rank matrices with non-orthogonal sparse decomposition from incomplete measurements. Zbl 1508.65041 Fornasier, Massimo; Maly, Johannes; Naumova, Valeriya 3 2021 Consensus-based optimization on hypersurfaces: well-posedness and mean-field limit. Zbl 1467.90039 Fornasier, Massimo; Huang, Hui; Pareschi, Lorenzo; Sünnen, Philippe 25 2020 A relaxed Kačanov iteration for the \(p\)-Poisson problem. Zbl 1442.65362 Diening, L.; Fornasier, M.; Tomasi, R.; Wank, M. 25 2020 Mean-field optimal control as gamma-limit of finite agent controls. Zbl 1427.35302 Fornasier, M.; Lisini, S.; Orrieri, C.; Savaré, G. 28 2019 Learning and sparse control of multiagent systems. Zbl 1401.93014 Fornasier, Massimo 1 2018 Mean field control hierarchy. Zbl 1378.49024 Albi, Giacomo; Choi, Young-Pil; Fornasier, Massimo; Kalise, Dante 40 2017 Mean-field Pontryagin maximum principle. Zbl 1386.49003 Bongini, Mattia; Fornasier, Massimo; Rossi, Francesco; Solombrino, Francesco 35 2017 Inferring interaction rules from observations of evolutive systems. I: The variational approach. Zbl 1368.37017 Bongini, Mattia; Fornasier, Massimo; Hansen, Markus; Maggioni, Mauro 23 2017 Linearly constrained evolutions of critical points and an application to cohesive fractures. Zbl 1358.74053 Artina, Marco; Cagnetti, Filippo; Fornasier, Massimo; Solombrino, Francesco 18 2017 Rotation invariance in exemplar-based image inpainting. Zbl 1403.68323 Eller, Martin; Fornasier, Massimo 1 2017 Conjugate gradient acceleration of iteratively re-weighted least squares methods. Zbl 1353.90115 Fornasier, Massimo; Peter, Steffen; Rauhut, Holger; Worm, Stephan 6 2016 Consistency of probability measure quantization by means of power repulsion-attraction potentials. Zbl 1351.60020 Fornasier, Massimo; Hütter, Jan-Christian 3 2016 Sparse stabilization and control of alignment models. Zbl 1331.49003 Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel 57 2015 Anisotropic mesh adaptation for crack detection in brittle materials. Zbl 1325.74134 Artina, Marco; Fornasier, Massimo; Micheletti, Stefano; Perotto, Simona 45 2015 (Un)conditional consensus emergence under perturbed and decentralized feedback controls. Zbl 1335.93006 Bongini, Mattia; Fornasier, Massimo; Kalise, Dante 23 2015 Anisotropic adaptive meshes for brittle fractures: parameter sensitivity. Zbl 1321.74060 Artina, Marco; Fornasier, Massimo; Micheletti, Stefano; Perotto, Simona 10 2015 The benefits of anisotropic mesh adaptation for brittle fractures under plane-strain conditions. Zbl 1325.74135 Artina, Marco; Fornasier, Massimo; Micheletti, Stefano; Perotto, Simona 5 2015 Sparse control of alignment models in high dimension. Zbl 1336.93013 Bongini, Mattia; Fornasier, Massimo; Junge, Oliver; Scharf, Benjamin 5 2015 Damping noise-folding and enhanced support recovery in compressed sensing. Zbl 1394.94457 Peter, Steffen; Artina, Marco; Fornasier, Massimo 4 2015 Compressive sensing. 2nd edition. Zbl 1331.94019 Fornasier, Massimo; Rauhut, Holger 2 2015 Mean-field optimal control. Zbl 1305.49004 Fornasier, Massimo; Solombrino, Francesco 60 2014 Mean-field sparse optimal control. Zbl 1353.49014 Fornasier, Massimo; Piccoli, Benedetto; Rossi, Francesco 55 2014 Sparse stabilization of dynamical systems driven by attraction and avoidance forces. Zbl 1333.93112 Bongini, Mattia; Fornasier, Massimo 14 2014 Parameter choice strategies for multipenalty regularization. Zbl 1304.47012 Fornasier, Massimo; Naumova, Valeriya; Pereverzyev, Sergei V. 12 2014 Quasi-linear compressed sensing. Zbl 1380.94050 Ehler, Martin; Fornasier, Massimo; Sigl, Juliane 8 2014 Asymptotic behavior of gradient flows driven by nonlocal power repulsion and attraction potentials in one dimension. Zbl 1328.49043 Di Francesco, Marco; Fornasier, Massimo; Hütter, Jan-Christian; Matthes, Daniel 1 2014 Sparse stabilization and optimal control of the Cucker-Smale model. Zbl 1275.49003 Caponigro, Marco; Fornasier, Massimo; Piccoli, Benedetto; Trélat, Emmanuel 48 2013 Linearly constrained nonsmooth and nonconvex minimization. Zbl 1277.49039 Artina, Marco; Fornasier, Massimo; Solombrino, Francesco 15 2013 Existence of minimizers of the Mumford-Shah functional with singular operators and unbounded data. Zbl 1266.49071 Fornasier, Massimo; March, Riccardo; Solombrino, Francesco 7 2013 Consistency of variational continuous-domain quantization via kinetic theory. Zbl 1273.82030 Fornasier, Massimo; Haškovec, Jan; Steidl, Gabriele 4 2013 Learning functions of few arbitrary linear parameters in high dimensions. Zbl 1252.65036 Fornasier, Massimo; Schnass, Karin; Vybiral, Jan 32 2012 Wavelet decomposition method for \(L_2\)/TV-image deblurring. Zbl 1259.65101 Fornasier, M.; Kim, Y.; Langer, A.; Schönlieb, C.-B. 7 2012 Multilevel preconditioning and adaptive sparse solution of inverse problems. Zbl 1239.65037 Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten 2 2012 Fluid dynamic description of flocking via the Povzner-Boltzmann equation. Zbl 1213.37121 Fornasier, Massimo; Haskovec, Jan; Toscani, Giuseppe 59 2011 Low-rank matrix recovery via iteratively reweighted least squares minimization. Zbl 1236.65044 Fornasier, Massimo; Rauhut, Holger; Ward, Rachel 49 2011 Compressive sensing. Zbl 1259.94017 Fornasier, Massimo; Rauhut, Holger 24 2011 Particle systems and kinetic equations modeling interacting agents in high dimension. Zbl 1244.93010 Fornasier, Massimo; Haškovec, Jan; Vybíral, Jan 3 2011 Asymptotic flocking dynamics for the kinetic Cucker-Smale model. Zbl 1223.35058 Carrillo, J. A.; Fornasier, M.; Rosado, J.; Toscani, G. 261 2010 Particle, kinetic, and hydrodynamic models of swarming. Zbl 1211.91213 Carrillo, José A.; Fornasier, Massimo; Toscani, Giuseppe; Vecil, Francesco 189 2010 Iteratively reweighted least squares minimization for sparse recovery. Zbl 1202.65046 Daubechies, Ingrid; DeVore, Ronald; Fornasier, Massimo; Güntürk, C. Sinan 170 2010 A kinetic flocking model with diffusion. Zbl 1213.35395 Duan, Renjun; Fornasier, Massimo; Toscani, Giuseppe 85 2010 A convergent overlapping domain decomposition method for total variation minimization. Zbl 1206.65170 Fornasier, Massimo; Langer, Andreas; Schönlieb, Carola-Bibiane 26 2010 Iterative thresholding meets free-discontinuity problems. Zbl 1202.65070 Fornasier, Massimo; Ward, Rachel 15 2010 Theoretical foundations and numerical methods for sparse recovery. Papers based on the presentations of the summer school “Theoretical foundations and numerical methods for sparse recovery”, Vienna, Austria, August 31 – September 4, 2009. Zbl 1195.94005 10 2010 Optimal adaptive computations in the Jaffard algebra and localized frames. Zbl 1184.42029 Dahlke, Stephan; Fornasier, Massimo; Gröchenig, Karlheinz 8 2010 Numerical methods for sparse recovery. Zbl 1208.65089 Fornasier, Massimo 6 2010 Subspace correction methods for total variation and \(\ell_1\)-minimization. Zbl 1203.65098 Fornasier, Massimo; Schönlieb, Carola-Bibiane 29 2009 Nonlinear and adaptive frame approximation schemes for elliptic PDEs: theory and numerical experiments. Zbl 1181.65137 Dahlke, Stephan; Fornasier, Massimo; Primbs, Miriam; Raasch, Thorsten; Werner, Manuel 11 2009 The application of joint sparsity and total variation minimization algorithms to a real-life art restoration problem. Zbl 1169.94004 Fornasier, Massimo; Ramlau, Ronny; Teschke, Gerd 4 2009 Mathematics enters the picture. Zbl 1397.00036 Fornasier, Massimo 1 2009 Recovery algorithms for vector-valued data with joint sparsity constraints. Zbl 1211.65066 Fornasier, Massimo; Rauhut, Holger 39 2008 Accelerated projected gradient method for linear inverse problems with sparsity constraints. Zbl 1175.65062 Daubechies, Ingrid; Fornasier, Massimo; Loris, Ignace 37 2008 Generalized coorbit theory, Banach frames, and the relation to \({\alpha}\)-modulation spaces. Zbl 1215.42035 Dahlke, Stephan; Fornasier, Massimo; Rauhut, Holger; Steidl, Gabriele; Teschke, Gerd 36 2008 Iterative thresholding algorithms. Zbl 1149.65038 Fornasier, Massimo; Rauhut, Holger 24 2008 Adaptive iterative thresholding algorithms for magnetoencephalography (MEG). Zbl 1146.92022 Fornasier, Massimo; Pitolli, Francesca 8 2008 Adaptive frame methods for nonlinear variational problems. Zbl 1148.65049 Charina, Maria; Conti, Costanza; Fornasier, Massimo 3 2008 Sampling theorems on bounded domains. Zbl 1155.65015 Fornasier, Massimo; Gori, Laura 2 2008 Adaptive frame methods for elliptic operator equations. Zbl 1122.65103 Dahlke, Stephan; Fornasier, Massimo; Raasch, Thorsten 43 2007 Adaptive frame methods for elliptic operator equations: The steepest descent approach. Zbl 1153.65050 Dahlke, Stephan; Raasch, Thorsten; Werner, Manuel; Fornasier, Massimo; Stevenson, Rob 35 2007 Banach frames for \(\alpha\)-modulation spaces. Zbl 1203.42039 Fornasier, Massimo 31 2007 Domain decomposition methods for linear inverse problems with sparsity constraints. Zbl 1131.65042 Fornasier, Massimo 15 2007 Restoration of color images by vector valued BV functions and variational calculus. Zbl 1147.68796 Fornasier, Massimo; March, Riccardo 9 2007 Flexible Gabor-wavelet atomic decompositions for \(L^2\) -Sobolev spaces. Zbl 1105.42027 Fornasier, Massimo; Feichtinger, Hans G. 8 2006 Nonlinear projection recovery in digital inpainting for color image restoration. Zbl 1478.94039 Fornasier, Massimo 8 2006 On some stability results of localized atomic decompositions. Zbl 1134.42334 Fornasier, Massimo 1 2006 Continuous frames, function spaces, and the discretization problem. Zbl 1093.42020 Fornasier, Massimo; Rauhut, Holger 76 2005 Intrinsic localization of frames. Zbl 1130.41304 Fornasier, Massimo; Gröchenig, Karlheinz 54 2005 Quasi-orthogonal decompositions of structured frames. Zbl 1058.46009 Fornasier, Massimo 68 2004 Decompositions of Hilbert spaces: Local construction of global frames. Zbl 1031.42035 Fornasier, Massimo 18 2003 Function spaces inclusions and rate of convergence of Riemann-type sums in numerical integration. Zbl 1035.46020 Fornasier, Massimo 1 2003 all cited Publications top 5 cited Publications all top 5 Cited by 1,948 Authors 76 Ha, Seung-Yeal 49 Fornasier, Massimo 43 Carrillo de la Plata, José Antonio 29 Choi, Young-Pil 22 Pareschi, Lorenzo 22 Zanella, Mattia 21 Kim, Jeongho 20 Piccoli, Benedetto 17 Herty, Michael Matthias 16 Rauhut, Holger 16 Zhang, Xiongtao 15 Albi, Giacomo 14 Gröchenig, Karlheinz 14 Kalise, Dante 14 Ko, Dongnam 14 Rossi, Francesco 13 Dahlke, Stephan 12 Balazs, Peter 12 Tosin, Andrea 11 Ahn, Hyunjin 11 Degond, Pierre 11 Dong, Jiu-Gang 11 Solombrino, Francesco 11 Totzeck, Claudia 11 Wick, Thomas 10 Burger, Martin 10 Huang, Hui 10 Kim, Doheon 10 Peszek, Jan 9 Bonnet, Benoît 9 Jin, Chunyin 9 Kunisch, Karl 9 Perotto, Simona 9 Sun, Qiyu 9 Tadmor, Eitan 9 Wu, Chunlin 8 Almi, Stefano 8 Bellomo, Nicola 8 Bongini, Mattia 8 Diening, Lars 8 Gelb, Anne 8 Grohs, Philipp 8 Jin, Shi 8 Kutyniok, Gitta 8 Lee, Chang-Ock 8 Li, Song 8 Micheletti, Stefano 8 Park, Jinyeong 8 Romero, José Luis 8 Shim, Woojoo 8 Tan, Changhui 8 Toscani, Giuseppe 8 Weinmann, Andreas 8 Xue, Xiaoping 7 Chang, Huibin 7 Colombi, Annachiara 7 Fetecau, Razvan C. 7 Harbrecht, Helmut 7 Haskovec, Jan 7 Jung, Jinwook 7 Li, Zhuchun 7 Liu, Yicheng 7 Malinowska, Agnieszka Barbara 7 Park, Jongho 7 Raasch, Thorsten 7 Schönlieb, Carola-Bibiane 7 Shvydkoy, Roman V. 7 Steidl, Gabriele 7 Storath, Martin 7 Trélat, Emmanuel 7 Visconti, Giuseppe 7 Zhao, Yunbin 6 Bae, Hyeong-Ohk 6 Balci, Anna Kh. 6 Kang, Moon-Jin 6 Krahmer, Felix 6 Lachowicz, Mirosław 6 Maggioni, Mauro 6 Marigonda, Antonio 6 Motsch, Sébastien 6 Mucha, Piotr Bogusław 6 Odzijewicz, Tatiana 6 Pogodaev, Nikolaĭ Il’ich 6 Rahimi, Asghar 6 Scianna, Marco 6 Staritsyn, Maksim Vladimirovich 6 Teschke, Gerd 6 Tse, Oliver 6 Zhang, Yinglong 6 Zhu, Yucan 6 Zuazua, Enrique 5 Cai, Yun 5 Constantine, Paul G. 5 de Lorenzis, Laura 5 Ding, Liang 5 Heid, Pascal 5 Kang, Sung Ha 5 Kim, Dohyun 5 Li, Pengtong 5 Li, Shidong ...and 1,848 more Authors all top 5 Cited in 282 Serials 81 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 57 Applied and Computational Harmonic Analysis 30 Journal of Differential Equations 25 Journal of Mathematical Analysis and Applications 25 The Journal of Fourier Analysis and Applications 25 Kinetic and Related Models 23 SIAM Journal on Scientific Computing 22 SIAM Journal on Mathematical Analysis 21 Computer Methods in Applied Mechanics and Engineering 21 Journal of Scientific Computing 21 SIAM Journal on Imaging Sciences 19 Inverse Problems 19 Journal of Computational and Applied Mathematics 17 SIAM Journal on Control and Optimization 17 Advances in Computational Mathematics 15 Physica D 15 Journal of Mathematical Imaging and Vision 15 International Journal of Wavelets, Multiresolution and Information Processing 14 Journal of Statistical Physics 14 Journal of Functional Analysis 14 Networks and Heterogeneous Media 13 Applied Mathematics and Optimization 13 Journal of Approximation Theory 13 Numerische Mathematik 13 Computational Optimization and Applications 13 Analysis and Applications (Singapore) 12 Archive for Rational Mechanics and Analysis 12 Journal of Computational Physics 12 Discrete and Continuous Dynamical Systems 12 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 12 SIAM Journal on Applied Dynamical Systems 11 Journal of Mathematical Physics 11 Foundations of Computational Mathematics 10 Automatica 10 Numerical Functional Analysis and Optimization 10 SIAM Journal on Applied Mathematics 10 Calculus of Variations and Partial Differential Equations 10 Multiscale Modeling & Simulation 10 Inverse Problems and Imaging 9 Mathematics of Computation 9 Journal of Complexity 9 Mathematical Programming. Series A. Series B 9 Mediterranean Journal of Mathematics 9 Science China. Mathematics 9 SIAM/ASA Journal on Uncertainty Quantification 8 Computers & Mathematics with Applications 8 Quarterly of Applied Mathematics 8 Constructive Approximation 8 Journal of Inequalities and Applications 8 Discrete and Continuous Dynamical Systems. Series B 8 Communications on Pure and Applied Analysis 7 Applicable Analysis 7 Journal of the Franklin Institute 7 Journal of Optimization Theory and Applications 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Results in Mathematics 7 Linear Algebra and its Applications 7 SIAM Journal on Optimization 6 Journal of Mathematical Biology 6 Nonlinearity 6 Applied Mathematics and Computation 6 Systems & Control Letters 6 Applied Mathematics Letters 6 Journal of Nonlinear Science 6 Mathematical Problems in Engineering 6 Communications in Nonlinear Science and Numerical Simulation 6 Nonlinear Analysis. Real World Applications 6 Mathematical Biosciences and Engineering 6 Banach Journal of Mathematical Analysis 6 SIAM Journal on Mathematics of Data Science 5 Mathematical Methods in the Applied Sciences 5 SIAM Journal on Numerical Analysis 5 Transactions of the American Mathematical Society 5 Computational Mechanics 5 Journal of Global Optimization 5 Journal of Inverse and Ill-Posed Problems 5 Journal of Machine Learning Research (JMLR) 5 Journal of the Operations Research Society of China 5 Sahand Communications in Mathematical Analysis 4 Linear and Multilinear Algebra 4 Information Sciences 4 Monatshefte für Mathematik 4 Numerical Algorithms 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Complex Analysis and Operator Theory 4 Mathematical Control and Related Fields 4 Communications in Applied and Industrial Mathematics 4 Foundations of Data Science 3 Mathematical Notes 3 Bulletin of Mathematical Biology 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 BIT 3 Calcolo 3 Mathematics and Computers in Simulation 3 Proceedings of the American Mathematical Society 3 Neural Networks 3 European Journal of Applied Mathematics ...and 182 more Serials all top 5 Cited in 55 Fields 409 Numerical analysis (65-XX) 353 Partial differential equations (35-XX) 263 Harmonic analysis on Euclidean spaces (42-XX) 222 Biology and other natural sciences (92-XX) 208 Information and communication theory, circuits (94-XX) 204 Calculus of variations and optimal control; optimization (49-XX) 201 Operations research, mathematical programming (90-XX) 139 Statistical mechanics, structure of matter (82-XX) 134 Systems theory; control (93-XX) 129 Functional analysis (46-XX) 123 Computer science (68-XX) 93 Ordinary differential equations (34-XX) 92 Operator theory (47-XX) 92 Probability theory and stochastic processes (60-XX) 73 Fluid mechanics (76-XX) 72 Mechanics of deformable solids (74-XX) 69 Approximations and expansions (41-XX) 69 Statistics (62-XX) 66 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 51 Linear and multilinear algebra; matrix theory (15-XX) 40 Mechanics of particles and systems (70-XX) 35 Dynamical systems and ergodic theory (37-XX) 21 Abstract harmonic analysis (43-XX) 18 Integral equations (45-XX) 17 Real functions (26-XX) 17 Global analysis, analysis on manifolds (58-XX) 11 Topological groups, Lie groups (22-XX) 11 Measure and integration (28-XX) 11 Quantum theory (81-XX) 8 Combinatorics (05-XX) 8 Difference and functional equations (39-XX) 8 Optics, electromagnetic theory (78-XX) 6 Special functions (33-XX) 5 Functions of a complex variable (30-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 General and overarching topics; collections (00-XX) 4 Convex and discrete geometry (52-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Integral transforms, operational calculus (44-XX) 3 Differential geometry (53-XX) 3 Mathematics education (97-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Algebraic geometry (14-XX) 2 Manifolds and cell complexes (57-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Commutative algebra (13-XX) 1 Potential theory (31-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year