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Author ID: fornasier.massimo Recent zbMATH articles by "Fornasier, Massimo"
Published as: Fornasier, Massimo; Fornasier, M.
External Links: MGP
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

Publications by Year

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
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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
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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
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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