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Foundations of Computational Mathematics

The Journal of the Society for the Foundations of Computational Mathematics

Short Title: Found. Comput. Math.
Publisher: Springer US, New York, NY
ISSN: 1615-3375; 1615-3383/e
Online: https://link.springer.com/journal/10208/volumes-and-issues
Comments: Journal; Indexed cover-to-cover
Documents Indexed: 689 Publications (since 2001)
References Indexed: 573 Publications with 22,479 References.
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Latest Issues

24, No. 2 (2024)
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11, No. 6 (2011)
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10, No. 6 (2010)
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9, No. 6 (2009)
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8, No. 6 (2008)
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8, No. 3 (2008)
8, No. 2 (2008)
8, No. 1 (2008)
7, No. 4 (2007)
7, No. 3 (2007)
...and 24 more Volumes
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Authors

11 Beltrán, Carlos E.
10 Shub, Michael
9 Bürgisser, Peter
9 Cucker, Felipe
8 Chartier, Philippe
8 Cohen, Albert
8 DeVore, Ronald A.
8 Iserles, Arieh
8 Mrozek, Marian
8 Munthe-Kaas, Hans Z.
8 Murua, Ander
8 Smale, Stephen
7 Basu, Saugata
7 McLachlan, Robert I.
7 Sturmfels, Bernd
6 Mansfield, Elizabeth Louise
6 Pardo, Luis Miguel
6 Schwab, Christoph
6 Woźniakowski, Henryk
5 Armentano, Diego
5 Candès, Emmanuel J.
5 Cohen-Steiner, David
5 Dahmen, Wolfgang A.
5 Edelsbrunner, Herbert
5 Giusti, Marc
5 Grigor’ev, Dmitriĭ Yur’evich
5 Krick, Teresa
5 Lecerf, Grégoire
5 Lubich, Christian
5 Malajovich, Gregorio
5 Mischaikow, Konstantin
5 Müller-Gronbach, Thomas
5 Nanda, Vidit
5 Nochetto, Ricardo Horacio
5 Quispel, Gilles Reinout Willem
5 Ritter, Klaus
5 Sanz-Serna, Jesús María
5 Sottile, Frank
5 Stern, Ari
5 Zgliczyński, Piotr
4 Adcock, Ben
4 Bachmayr, Markus
4 Caponnetto, Andrea
4 Demanet, Laurent
4 Drusvyatskiy, Dmitriy
4 Dyn, Nira
4 Edelman, Alan Stuart
4 Grohs, Philipp
4 Hairer, Ernst
4 Harer, John L.
4 Hauenstein, Jonathan D.
4 Hubert, Evelyne
4 Hydon, Peter Ellsworth
4 Jentzen, Arnulf
4 Landsberg, Joseph Montague
4 Leok, Melvin
4 Mémoli, Facundo
4 Nie, Jiawang
4 Olver, Sheehan Shakiban
4 Peyré, Gabriel
4 Renegar, James
4 Saff, Edward Barry
4 Strohmer, Thomas
4 Temlyakov, Vladimir Nikolaevich
4 Tropp, Joel A.
4 Yampolsky, Michael
3 Baratchart, Laurent
3 Barvinok, Alexander I.
3 Berchenko-Kogan, Yakov
3 Blumberg, Andrew J.
3 Chandrasekaran, Venkat
3 Charon, Nicolas
3 Davis, Damek Shea
3 De Loera, Jesús A.
3 Dereich, Steffen
3 Ebrahimi-Fard, Kurusch
3 Freedman, Michael Hartley
3 Gawlik, Evan S.
3 Hauser, Raphael Andreas
3 Heintz, Joos
3 Holm, Darryl Dallas
3 Huybrechs, Daan
3 Jeronimo, Gabriela
3 Landi, Claudia
3 Lerman, Gilad
3 Leviatan, Dany
3 Lewis, Adrian S.
3 Lim, Lek-Heng
3 Lotz, Martin
3 Lundervold, Alexander
3 Marsden, Jerrold Eldon
3 Matera, Guillermo
3 Meer, Klaus
3 Mérigot, Quentin
3 Mishra, Siddhartha
3 Montanari, Andrea
3 Narcowich, Francis J.
3 Nesterov, Yurii
3 Olver, Peter John
3 Oudot, Steve Yann
...and 1,016 more Authors
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Fields

334 Numerical analysis (65-XX)
176 Computer science (68-XX)
107 Partial differential equations (35-XX)
95 Algebraic geometry (14-XX)
91 Operations research, mathematical programming (90-XX)
74 Approximations and expansions (41-XX)
64 Dynamical systems and ergodic theory (37-XX)
60 Linear and multilinear algebra; matrix theory (15-XX)
57 Probability theory and stochastic processes (60-XX)
55 Statistics (62-XX)
44 Algebraic topology (55-XX)
40 Commutative algebra (13-XX)
40 Calculus of variations and optimal control; optimization (49-XX)
38 Global analysis, analysis on manifolds (58-XX)
37 Ordinary differential equations (34-XX)
36 Differential geometry (53-XX)
35 Convex and discrete geometry (52-XX)
32 Operator theory (47-XX)
31 Functional analysis (46-XX)
31 Information and communication theory, circuits (94-XX)
30 Harmonic analysis on Euclidean spaces (42-XX)
24 Number theory (11-XX)
21 Combinatorics (05-XX)
21 Manifolds and cell complexes (57-XX)
20 Mechanics of particles and systems (70-XX)
19 Field theory and polynomials (12-XX)
18 Functions of a complex variable (30-XX)
16 Associative rings and algebras (16-XX)
15 Fluid mechanics (76-XX)
13 Nonassociative rings and algebras (17-XX)
12 Systems theory; control (93-XX)
11 Mathematical logic and foundations (03-XX)
11 Topological groups, Lie groups (22-XX)
10 Several complex variables and analytic spaces (32-XX)
9 Quantum theory (81-XX)
9 Biology and other natural sciences (92-XX)
8 Category theory; homological algebra (18-XX)
8 Special functions (33-XX)
7 General topology (54-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Real functions (26-XX)
6 Measure and integration (28-XX)
6 Geometry (51-XX)
6 Mechanics of deformable solids (74-XX)
6 Optics, electromagnetic theory (78-XX)
5 Group theory and generalizations (20-XX)
5 Difference and functional equations (39-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 General and overarching topics; collections (00-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Potential theory (31-XX)
3 Integral transforms, operational calculus (44-XX)
2 Integral equations (45-XX)
1 History and biography (01-XX)
1 \(K\)-theory (19-XX)
1 Abstract harmonic analysis (43-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Relativity and gravitational theory (83-XX)

Publications by Year

Citations contained in zbMATH Open

643 Publications have been cited 12,994 times in 9,697 Documents Cited by Year
Exact matrix completion via convex optimization. Zbl 1219.90124
Candès, Emmanuel J.; Recht, Benjamin
744
2009
User-friendly tail bounds for sums of random matrices. Zbl 1259.60008
Tropp, Joel A.
301
2012
Optimality of a standard adaptive finite element method. Zbl 1136.65109
Stevenson, Rob
245
2007
Optimal rates for the regularized least-squares algorithm. Zbl 1129.68058
Caponnetto, A.; De Vito, E.
204
2007
Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs. Zbl 1206.60064
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
166
2010
Adaptive restart for accelerated gradient schemes. Zbl 1320.90061
O’Donoghue, Brendan; Candès, Emmanuel
161
2015
A rigorous ODE solver and Smale’s 14th problem. Zbl 1047.37012
Tucker, Warwick
160
2002
The convex geometry of linear inverse problems. Zbl 1280.52008
Chandrasekaran, Venkat; Recht, Benjamin; Parrilo, Pablo A.; Willsky, Alan S.
157
2012
A PDE approach to fractional diffusion in general domains: a priori error analysis. Zbl 1347.65178
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
152
2015
Learning rates of least-square regularized regression. Zbl 1100.68100
Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
128
2006
Trust-region methods on Riemannian manifolds. Zbl 1129.65045
Absil, P.-A.; Baker, C. G.; Gallivan, K. A.
122
2007
Random gradient-free minimization of convex functions. Zbl 1380.90220
Nesterov, Yurii; Spokoiny, Vladimir
120
2017
On the stability and accuracy of least squares approximations. Zbl 1276.93086
Cohen, Albert; Davenport, Mark A.; Leviatan, Dany
103
2013
On the ranks and border ranks of symmetric tensors. Zbl 1196.15024
Landsberg, J. M.; Teitler, Zach
101
2010
Adaptive wavelet methods. II: Beyond the elliptic case. Zbl 1025.65056
Cohen, A.; Dahmen, W.; DeVore, R.
100
2002
Local linear convergence for alternating and averaged nonconvex projections. Zbl 1169.49030
Lewis, A. S.; Luke, D. R.; Malick, J.
98
2009
Calculus of the exponent of Kurdyka-Łojasiewicz inequality and its applications to linear convergence of first-order methods. Zbl 1405.90076
Li, Guoyin; Pong, Ting Kei
96
2018
Nonlinear methods of approximation. Zbl 1039.41012
Temlyakov, V. N.
95
2003
Best choices for regularization parameters in learning theory: on the bias-variance problem. Zbl 1057.68085
Cucker, Felipe; Smale, Steve
94
2002
High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs. Zbl 1298.65022
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
86
2014
Zigzag persistence. Zbl 1204.68242
Carlsson, Gunnar; de Silva, Vin
86
2010
The Euclidean distance degree of an algebraic variety. Zbl 1370.51020
Draisma, Jan; Horobeţ, Emil; Ottaviani, Giorgio; Sturmfels, Bernd; Thomas, Rekha R.
85
2016
An interpolating distance between optimal transport and Fisher-Rao metrics. Zbl 1385.49031
Chizat, Lénaïc; Peyré, Gabriel; Schmitzer, Bernhard; Vialard, François-Xavier
81
2018
Exact support recovery for sparse spikes deconvolution. Zbl 1327.65104
Duval, Vincent; Peyré, Gabriel
78
2015
Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems. Zbl 1341.65029
Wang, Bin; Iserles, Arieh; Wu, Xinyuan
77
2016
Uniform uncertainty principle and signal recovery via regularized orthogonal matching pursuit. Zbl 1183.68739
Needell, Deanna; Vershynin, Roman
77
2009
A geometric analysis of phase retrieval. Zbl 1401.94049
Sun, Ju; Qu, Qing; Wright, John
76
2018
Model selection for regularized least-squares algorithm in learning theory. Zbl 1083.68106
Vito, E.; Caponnetto, A.; Rosasco, L.
72
2005
The theory of the interleaving distance on multidimensional persistence modules. Zbl 1335.55006
Lesnick, Michael
72
2015
Hyperbolic programs, and their derivative relaxations. Zbl 1130.90363
Renegar, James
70
2006
On the rank of a binary form. Zbl 1211.14059
Comas, Gonzalo; Seiguer, Malena
68
2011
Symmetric exponential integrators with an application to the cubic Schrödinger equation. Zbl 1147.65102
Celledoni, Elena; Cohen, David; Owren, Brynjulf
67
2008
Smooth and algebraic invariants of a group action: Local and global constructions. Zbl 1145.53006
Hubert, Evelyne; Kogan, Irina A.
66
2007
The serendipity family of finite elements. Zbl 1218.65125
Arnold, Douglas N.; Awanou, Gerard
64
2011
Solving quadratic equations via phaselift when there are about as many equations as unknowns. Zbl 1312.90054
Candès, Emmanuel J.; Li, Xiaodong
64
2014
Hamilton-Pontryagin integrators on Lie groups. I: Introduction and structure-preserving properties. Zbl 1221.37166
Bou-Rabee, Nawaf; Marsden, Jerrold E.
64
2009
On tensor completion via nuclear norm minimization. Zbl 1378.90066
Yuan, Ming; Zhang, Cun-Hui
63
2016
On the Riemannian geometry defined by self-concordant barriers and interior-point methods. Zbl 1049.90127
Nesterov, Yu. E.; Todd, M. J.
61
2002
On the ideals of secant varieties of Segre varieties. Zbl 1068.14068
Landsberg, J. M.; Manivel, L.
60
2004
Exact computation of joint spectral characteristics of linear operators. Zbl 1273.65054
Guglielmi, Nicola; Protasov, Vladimir
60
2013
Gromov-Wasserstein distances and the metric approach to object matching. Zbl 1244.68078
Mémoli, Facundo
60
2011
Algebraic structures of B-series. Zbl 1201.65124
Chartier, Philippe; Hairer, Ernst; Vilmart, Gilles
58
2010
The \(\mathcal A\)-truncated \(K\)-moment problem. Zbl 1331.65172
Nie, Jiawang
57
2014
Sign conditions for injectivity of generalized polynomial maps with applications to chemical reaction networks and real algebraic geometry. Zbl 1382.92272
Müller, Stefan; Feliu, Elisenda; Regensburger, Georg; Conradi, Carsten; Shiu, Anne; Dickenstein, Alicia
57
2016
Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations. Zbl 1357.65153
Bachmayr, Markus; Schneider, Reinhold; Uschmajew, André
56
2016
Quantitative robust uncertainty principles and optimally sparse decompositions. Zbl 1102.94020
Candès, Emmanuel J.; Romberg, Justin
56
2006
Geometric inference for probability measures. Zbl 1230.62074
Chazal, Frédéric; Cohen-Steiner, David; Mérigot, Quentin
55
2011
\(C^1\) Lohner algorithm. Zbl 1049.65038
Zgliczynski, Piotr
53
2002
Multi-level quasi-Monte Carlo finite element methods for a class of elliptic PDEs with random coefficients. Zbl 1318.65006
Kuo, Frances Y.; Schwab, Christoph; Sloan, Ian H.
53
2015
Lipschitz functions have \(L_{p}\)-stable persistence. Zbl 1192.55007
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John; Mileyko, Yuriy
53
2010
Error estimates for spectral convergence of the graph Laplacian on random geometric graphs toward the Laplace-Beltrami operator. Zbl 1447.62141
García Trillos, Nicolás; Gerlach, Moritz; Hein, Matthias; Slepčev, Dejan
53
2020
Transversality and alternating projections for nonconvex sets. Zbl 1338.49057
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
52
2015
Metamorphoses through Lie group action. Zbl 1099.68116
Trouvé, Alain; Younes, Laurent
52
2005
Construction of approximate entropy measure-valued solutions for hyperbolic systems of conservation laws. Zbl 1371.65080
Fjordholm, Ulrik S.; Käppeli, Roger; Mishra, Siddhartha; Tadmor, Eitan
52
2017
Application of quasi-Monte Carlo methods to elliptic PDEs with random diffusion coefficients: a survey of analysis and implementation. Zbl 1362.65015
Kuo, Frances Y.; Nuyens, Dirk
51
2016
A theoretical and computational framework for isometry invariant recognition of point cloud data. Zbl 1101.53022
Mémoli, Facundo; Sapiro, Guillermo
51
2005
Analysis of a new nonlinear subdivision scheme. Applications in image processing. Zbl 1106.41001
Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos
49
2006
Infinite-dimensional quadrature and approximation of distributions. Zbl 1177.65011
Creutzig, Jakob; Dereich, Steffen; Müller-Gronbach, Thomas; Ritter, Klaus
47
2009
Low regularity exponential-type integrators for semilinear Schrödinger equations. Zbl 1402.65098
Ostermann, Alexander; Schratz, Katharina
47
2018
On post-Lie algebras, Lie-Butcher series and moving frames. Zbl 1327.17001
Munthe-Kaas, Hans Z.; Lundervold, Alexander
46
2013
Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation. Zbl 0984.65101
Zgliczyński, Piotr; Mischaikow, Konstantin
46
2001
Semidefinite characterization and computation of zero-dimensional real radical ideals. Zbl 1176.14010
Lasserre, Jean Bernard; Laurent, Monique; Rostalski, Philipp
46
2008
A unifying local convergence result for Newton’s method in Riemannian manifolds. Zbl 1147.58008
Alvarez, F.; Bolte, J.; Munier, J.
45
2008
Analysis of discrete \(L^2\) projection on polynomial spaces with random evaluations. Zbl 1301.41005
Migliorati, G.; Nobile, F.; von Schwerin, E.; Tempone, R.
45
2014
Exponentials reproducing subdivision schemes. Zbl 1095.41001
Dyn, Nira; Levin, David; Luzzatto, Ariel
44
2003
An algorithmic approach to chain recurrence. Zbl 1099.37010
Kalies, W. D.; Mischaikow, K.; VanderVorst, R. C. A. M.
43
2005
Approximation methods for supervised learning. Zbl 1146.62322
DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique; Temlyakov, Vladimir
43
2006
Stochastic subgradient method converges on tame functions. Zbl 1433.65141
Davis, Damek; Drusvyatskiy, Dmitriy; Kakade, Sham; Lee, Jason D.
43
2020
Extending persistence using Poincaré and Lefschetz duality. Zbl 1189.55002
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
42
2009
Direct and inverse Sobolev error estimates for scattered data interpolation via spherical basis functions. Zbl 1348.41010
Narcowich, Francis J.; Sun, Xingping; Ward, Joseph D.; Wendland, Holger
41
2007
Online learning algorithms. Zbl 1119.68098
Smale, Steve; Yao, Yuan
41
2006
Metrics for generalized persistence modules. Zbl 1345.55006
Bubenik, Peter; de Silva, Vin; Scott, Jonathan
40
2015
Numerical analysis of a robust free energy diminishing finite volume scheme for parabolic equations with gradient structure. Zbl 1382.65267
Cancès, Clément; Guichard, Cindy
40
2017
A variational complex for difference equations. Zbl 1057.39013
Hydon, Peter E.; Mansfield, Elizabeth L.
39
2004
Generalized sampling and infinite-dimensional compressed sensing. Zbl 1379.94026
Adcock, Ben; Hansen, Anders C.
39
2016
Sliding windows and persistence: an application of topological methods to signal analysis. Zbl 1325.37054
Perea, Jose A.; Harer, John
39
2015
Random projections of smooth manifolds. Zbl 1172.53005
Baraniuk, Richard G.; Wakin, Michael B.
39
2009
Rigorous numerics for dissipative partial differential equations. II: Periodic orbit for the Kuramoto-Sivashinsky PDE – a computer-assisted proof. Zbl 1066.65105
Zgliczyński, Piotr
38
2004
Joint invariant signatures. Zbl 1001.53004
Olver, Peter J.
38
2001
Combinatorial sublinear-time Fourier algorithms. Zbl 1230.65145
Iwen, M. A.
38
2010
Splitting integrators for nonlinear Schrödinger equations over long times. Zbl 1189.65301
Gauckler, Ludwig; Lubich, Christian
38
2010
A conjecture on exceptional orthogonal polynomials. Zbl 1282.33019
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
37
2013
Optimal rates for regularization of statistical inverse learning problems. Zbl 1412.62042
Blanchard, Gilles; Mücke, Nicole
37
2018
On the numerical stability of Fourier extensions. Zbl 1298.65198
Adcock, Ben; Huybrechs, Daan; Martín-Vaquero, Jesús
37
2014
Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information. Zbl 1056.42002
Tadmor, Eitan; Tanner, Jared
36
2002
The Hopf algebra of rooted trees, free Lie algebras, and Lie series. Zbl 1116.17004
Murua, A.
36
2006
A Milstein scheme for SPDEs. Zbl 1318.60072
Jentzen, Arnulf; Röckner, Michael
36
2015
A Riemannian view on shape optimization. Zbl 1296.49037
Schulz, Volker H.
36
2014
Energy-preserving integrators and the structure of B-series. Zbl 1205.65325
Celledoni, Elena; McLachlan, Robert I.; Owren, Brynjulf; Quispel, G. R. W.
36
2010
The existence of Shilnikov homoclinic orbits in the Michelson system: A computer assisted proof. Zbl 1130.37415
Wilczak, Daniel
35
2006
ENO reconstruction and ENO interpolation are stable. Zbl 1273.65120
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
35
2013
Improved bounds on sample size for implicit matrix trace estimators. Zbl 1323.65043
Roosta-Khorasani, Farbod; Ascher, Uri
35
2015
Implicit regularization in nonconvex statistical estimation: gradient descent converges linearly for phase retrieval, matrix completion, and blind deconvolution. Zbl 1445.90089
Ma, Cong; Wang, Kaizheng; Chi, Yuejie; Chen, Yuxin
35
2020
Quadratic Newton iteration for systems with multiplicity. Zbl 1030.65050
Lecerf, G.
34
2002
On the Hopf algebraic structure of Lie group integrators. Zbl 1147.16028
Munthe-Kaas, H. Z.; Wright, W. M.
34
2008
On local convergence of the method of alternating projections. Zbl 1339.65079
Noll, Dominikus; Rondepierre, Aude
34
2016
Rigorous computer-assisted application of KAM theory: a modern approach. Zbl 1383.37047
Figueras, J.-Ll.; Haro, A.; Luque, A.
34
2017
Learning functions of few arbitrary linear parameters in high dimensions. Zbl 1252.65036
Fornasier, Massimo; Schnass, Karin; Vybiral, Jan
33
2012
Isosingular sets and deflation. Zbl 1276.65029
Hauenstein, Jonathan D.; Wampler, Charles W.
33
2013
Parabolic molecules. Zbl 1403.42038
Grohs, Philipp; Kutyniok, Gitta
33
2014
Sharp bounds on the approximation rates, metric entropy, and \(n\)-widths of shallow neural networks. Zbl 07835553
Siegel, Jonathan W.; Xu, Jinchao
2
2024
Functional equivariance and conservation laws in numerical integration. Zbl 07808384
McLachlan, Robert I.; Stern, Ari
1
2024
Most probable paths for anisotropic Brownian motions on manifolds. Zbl 07808388
Grong, Erlend; Sommer, Stefan
1
2024
Convergence analysis under consistent error bounds. Zbl 07835552
Liu, Tianxiang; Lourenço, Bruno F.
1
2024
Finite element approximation of the Levi-Civita connection and its curvature in two dimensions. Zbl 07835555
Berchenko-Kogan, Yakov; Gawlik, Evan S.
1
2024
Orthogonal polynomials on planar cubic curves. Zbl 1523.33005
Fasondini, Marco; Olver, Sheehan; Xu, Yuan
8
2023
An arbitrary-order discrete de Rham complex on polyhedral meshes: exactness, Poincaré inequalities, and consistency. Zbl 1512.65263
Di Pietro, Daniele A.; Droniou, Jérôme
8
2023
A generalized conditional gradient method for dynamic inverse problems with optimal transport regularization. Zbl 07698612
Bredies, Kristian; Carioni, Marcello; Fanzon, Silvio; Romero, Francisco
7
2023
Analysis of tensor approximation schemes for continuous functions. Zbl 1531.41026
Griebel, Michael; Harbrecht, Helmut
7
2023
Finite element systems for vector bundles: elasticity and curvature. Zbl 1512.65262
Christiansen, Snorre H.; Hu, Kaibo
5
2023
Spectral graph matching and regularized quadratic relaxations. II: Erdős-Rényi graphs and universality. Zbl 1522.90092
Fan, Zhou; Mao, Cheng; Wu, Yihong; Xu, Jiaming
3
2023
Principal components along quiver representations. Zbl 07735209
Seigal, Anna; Harrington, Heather A.; Nanda, Vidit
3
2023
An accelerated first-order method for non-convex optimization on manifolds. Zbl 07735215
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3
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Exponential ReLU neural network approximation rates for point and edge singularities. Zbl 1519.35253
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Analysis and convergence of Hermite subdivision schemes. Zbl 07654470
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Conormal spaces and Whitney stratifications. Zbl 07749824
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2
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Sparse multi-reference alignment: phase retrieval, uniform uncertainty principles and the beltway problem. Zbl 07749827
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2
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On numerical approximations of fractional and nonlocal mean field games. Zbl 1527.35428
Chowdhury, Indranil; Ersland, Olav; Jakobsen, Espen R.
2
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Continuum limit of Lipschitz learning on graphs. Zbl 1512.35206
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2
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Affine-invariant ensemble transform methods for logistic regression. Zbl 07673617
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2
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Learning elliptic partial differential equations with randomized linear algebra. Zbl 1514.65194
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2
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The geometry of off-the-grid compressed sensing. Zbl 07654472
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2
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Potentially singular behavior of the 3D Navier-Stokes equations. Zbl 1529.35334
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2
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Potential singularity of the 3D Euler equations in the interior domain. Zbl 1529.35354
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2
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Spectral graph matching and regularized quadratic relaxations. I: Algorithm and Gaussian analysis. Zbl 1522.90091
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1
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Approximating continuous functions on persistence diagrams using template functions. Zbl 07735211
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1
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Retraction maps: a seed of geometric integrators. Zbl 1528.37070
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1
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A common variable minimax theorem for graphs. Zbl 1517.05098
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1
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Explicit computation of a Galois representation attached to an eigenform over \(\mathrm{SL}_3\) from the \(\mathrm{H}_{\text{ét}}^2\) of a surface. Zbl 1518.11091
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1
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Halting time is predictable for large models: a universality property and average-case analysis. Zbl 07673616
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1
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Drift estimation of multiscale diffusions based on filtered data. Zbl 07654468
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1
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A theoretical and empirical comparison of gradient approximations in derivative-free optimization. Zbl 1493.90233
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19
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A new upper bound for sampling numbers. Zbl 07533994
Nagel, Nicolas; Schäfer, Martin; Ullrich, Tino
16
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Kurdyka-Łojasiewicz exponent via inf-projection. Zbl 1501.90047
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15
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Primal dual methods for Wasserstein gradient flows. Zbl 07533993
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14
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On randomized trace estimates for indefinite matrices with an application to determinants. Zbl 1493.65009
Cortinovis, Alice; Kressner, Daniel
11
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Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations with gradient-dependent nonlinearities. Zbl 1501.65084
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10
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A simple nearly optimal restart scheme for speeding up first-order methods. Zbl 1516.90054
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9
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Zeroth-order nonconvex stochastic optimization: handling constraints, high dimensionality, and saddle points. Zbl 1516.90056
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8
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Deep composition of tensor-trains using squared inverse Rosenblatt transports. Zbl 1505.65191
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7
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Low-degree approximation of random polynomials. Zbl 1514.14072
Diatta, Daouda Niang; Lerario, Antonio
7
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Convergence rates of first- and higher-order dynamics for solving linear ill-posed problems. Zbl 07605400
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6
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A counter-example to Hausmann’s conjecture. Zbl 07533995
Virk, Žiga
5
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A new technique for preserving conservation laws. Zbl 1492.65235
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5
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Cumulant-cumulant relations in free probability theory from Magnus’ expansion. Zbl 1501.46055
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Optimal stable nonlinear approximation. Zbl 1507.41010
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Order conditions for sampling the invariant measure of ergodic stochastic differential equations on manifolds. Zbl 1487.60112
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Vandermonde varieties, mirrored spaces, and the cohomology of symmetric semi-algebraic sets. Zbl 1497.14117
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Learning interaction kernels in stochastic systems of interacting particles from multiple trajectories. Zbl 07568622
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4
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Convergence of adaptive discontinuous Galerkin and \(C^0\)-interior penalty finite element methods for Hamilton-Jacobi-Bellman and Isaacs equations. Zbl 1492.65314
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4
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Computing the sound of the sea in a seashell. Zbl 1491.35026
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4
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The saddle point problem of polynomials. Zbl 1496.90052
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Construction of \(C^2\) cubic splines on arbitrary triangulations. Zbl 1522.41004
Lyche, Tom; Manni, Carla; Speleers, Hendrik
3
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A geometric integration approach to nonsmooth, nonconvex optimisation. Zbl 1500.65033
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3
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Robust group synchronization via cycle-edge message passing. Zbl 07619460
Lerman, Gilad; Shi, Yunpeng
3
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Low-rank perturbation of regular matrix pencils with symmetry structures. Zbl 1514.15020
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3
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The topological correctness of PL approximations of isomanifolds. Zbl 1506.57015
Boissonnat, Jean-Daniel; Wintraecken, Mathijs
2
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A framework for differential calculus on persistence barcodes. Zbl 1507.55008
Leygonie, Jacob; Oudot, Steve; Tillmann, Ulrike
2
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Optimization over the Boolean hypercube via sums of nonnegative circuit polynomials. Zbl 07533992
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Proximal methods avoid active strict saddles of weakly convex functions. Zbl 1494.65041
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2
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Numerical accuracy of ladder schemes for parallel transport on manifolds. Zbl 1496.53019
Guigui, Nicolas; Pennec, Xavier
2
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Efficient and reliable algorithms for the computation of non-twist invariant circles. Zbl 1501.37064
González, Alejandra; Haro, Àlex; de la Llave, Rafael
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Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and \(H^{1+r}, r>0\), regularity. Zbl 1501.35156
Ern, Alexandre; Guermond, Jean-Luc
2
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Stationary points at infinity for analytic combinatorics. Zbl 1500.05008
Baryshnikov, Yuliy; Melczer, Stephen; Pemantle, Robin
2
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Euclidean distance degree and mixed volume. Zbl 1505.14124
Breiding, P.; Sottile, F.; Woodcock, J.
2
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Matrix concentration for products. Zbl 1505.60013
Huang, De; Niles-Weed, Jonathan; Tropp, Joel A.; Ward, Rachel
2
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Tropical bisectors and Voronoi diagrams. Zbl 1511.14106
Criado, Francisco; Joswig, Michael; Santos, Francisco
2
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Exploiting sparsity for semi-algebraic set volume computation. Zbl 1512.14033
Tacchi, Matteo; Weisser, Tillmann; Lasserre, Jean Bernard; Henrion, Didier
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Do log factors matter? On optimal wavelet approximation and the foundations of compressed sensing. Zbl 1517.94038
Adcock, Ben; Brugiapaglia, Simone; King-Roskamp, Matthew
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Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity. Zbl 1486.65208
Ostermann, Alexander; Rousset, Frédéric; Schratz, Katharina
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Function values are enough for \(L_2\)-approximation. Zbl 1481.41014
Krieg, David; Ullrich, Mario
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Topological properties of the set of functions generated by neural networks of fixed size. Zbl 1516.68082
Petersen, Philipp; Raslan, Mones; Voigtlaender, Felix
22
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A unifying representer theorem for inverse problems and machine learning. Zbl 1479.46088
Unser, Michael
19
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Complexes from complexes. Zbl 1520.58011
Arnold, Douglas N.; Hu, Kaibo
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Primary ideals and their differential equations. Zbl 1511.13027
Cid-Ruiz, Yairon; Homs, Roser; Sturmfels, Bernd
13
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On the convergence of time splitting methods for quantum dynamics in the semiclassical regime. Zbl 1471.65038
Golse, François; Jin, Shi; Paul, Thierry
12
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Low-rank matrix recovery with composite optimization: good conditioning and rapid convergence. Zbl 1480.65100
Charisopoulos, Vasileios; Chen, Yudong; Davis, Damek; Díaz, Mateo; Ding, Lijun; Drusvyatskiy, Dmitriy
12
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Newton polytopes and relative entropy optimization. Zbl 1483.90121
Murray, Riley; Chandrasekaran, Venkat; Wierman, Adam
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Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Zbl 1460.35085
Melenk, Jens M.; Sauter, Stefan A.
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Convergence rates for discretized Monge-Ampère equations and quantitative stability of optimal transport. Zbl 1475.35151
Berman, Robert J.
9
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A neural network-based policy iteration algorithm with global \(H^2\)-superlinear convergence for stochastic games on domains. Zbl 1472.82030
Ito, Kazufumi; Reisinger, Christoph; Zhang, Yufei
9
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Weak convergence rates for Euler-type approximations of semilinear stochastic evolution equations with nonlinear diffusion coefficients. Zbl 1482.65143
Jentzen, Arnulf; Kurniawan, Ryan
9
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Sparse harmonic transforms: a new class of sublinear-time algorithms for learning functions of many variables. Zbl 1472.65171
Choi, Bosu; Iwen, Mark A.; Krahmer, Felix
8
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Fenchel duality theory and a primal-dual algorithm on Riemannian manifolds. Zbl 07458819
Bergmann, Ronny; Herzog, Roland; Silva Louzeiro, Maurício; Tenbrinck, Daniel; Vidal-Núñez, José
8
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A variational finite element discretization of compressible flow. Zbl 1506.65153
Gawlik, Evan S.; Gay-Balmaz, François
7
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Towards massively parallel computations in algebraic geometry. Zbl 1485.14109
Böhm, Janko; Decker, Wolfram; Frühbis-Krüger, Anne; Pfreundt, Franz-Josef; Rahn, Mirko; Ristau, Lukas
7
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On the complexity exponent of polynomial system solving. Zbl 1457.14002
van der Hoeven, Joris; Lecerf, Grégoire
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Data analysis from empirical moments and the Christoffel function. Zbl 1461.62234
Pauwels, Edouard; Putinar, Mihai; Lasserre, Jean-Bernard
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Computing the homology of semialgebraic sets. II: General formulas. Zbl 1492.14103
Bürgisser, Peter; Cucker, Felipe; Tonelli-Cueto, Josué
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Numerical performance of optimized Frolov lattices in tensor product reproducing kernel Sobolev spaces. Zbl 1480.46037
Kacwin, Christopher; Oettershagen, Jens; Ullrich, Mario; Ullrich, Tino
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Curve based approximation of measures on manifolds by discrepancy minimization. Zbl 1491.65048
Ehler, Martin; Gräf, Manuel; Neumayer, Sebastian; Steidl, Gabriele
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The Reeb graph edit distance is universal. Zbl 1485.55006
Bauer, Ulrich; Landi, Claudia; Mémoli, Facundo
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Homological algebra for persistence modules. Zbl 1487.55008
Bubenik, Peter; Milićević, Nikola
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Perturbations of Christoffel-Darboux kernels: detection of outliers. Zbl 1470.42049
Beckermann, Bernhard; Putinar, Mihai; Saff, Edward B.; Stylianopoulos, Nikos
4
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Noncommutative polynomials describing convex sets. Zbl 1471.14120
Helton, J. William; Klep, Igor; McCullough, Scott; Volčič, Jurij
4
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Iterative Potts minimization for the recovery of signals with discontinuities from indirect measurements: the multivariate case. Zbl 1468.94019
Kiefer, Lukas; Storath, Martin; Weinmann, Andreas
4
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Constraint-preserving hybrid finite element methods for Maxwell’s equations. Zbl 1478.78069
Berchenko-Kogan, Yakov; Stern, Ari
3
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The Grassmannian of affine subspaces. Zbl 1485.14096
Lim, Lek-Heng; Wong, Ken Sze-Wai; Ye, Ke
3
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Tensor-free proximal methods for lifted bilinear/quadratic inverse problems with applications to phase retrieval. Zbl 1484.65133
Beinert, Robert; Bredies, Kristian
2
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Metrics, quantization and registration in varifold spaces. Zbl 1477.49066
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2
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Cited by 11,466 Authors

65 Schwab, Christoph
52 Zhou, Dingxuan
41 Praetorius, Dirk
39 Ballico, Edoardo
39 Wang, Bin
38 Amat Plata, Sergio
36 Wu, Xinyuan
34 Hauenstein, Jonathan D.
33 Jentzen, Arnulf
33 Lessard, Jean-Philippe
31 Nie, Jiawang
31 Temlyakov, Vladimir Nikolaevich
30 Mémoli, Facundo
29 Ferreira, Orizon Pereira
28 Nobile, Fabio
28 Stevenson, Rob P.
27 Mrozek, Marian
27 Sturmfels, Bernd
26 Adcock, Ben
26 Dahlke, Stephan
26 Trillo, Juan Carlos
26 Ullrich, Tino
25 Chartier, Philippe
25 Rauhut, Holger
25 Tropp, Joel A.
24 Mireles-James, Jason D.
24 Mischaikow, Konstantin
24 Woźniakowski, Henryk
23 Cucker, Felipe
23 Kuo, Frances Y.
23 Lin, Shaobo
23 Schratz, Katharina
23 Wasilkowski, Grzegorz W.
22 Cai, Jian-Feng
22 Carstensen, Carsten
22 Ebrahimi-Fard, Kurusch
22 Leok, Melvin
22 Nochetto, Ricardo Horacio
22 Rosasco, Lorenzo A.
21 Bernardi, Alessandra
21 Chen, Dirong
21 Cohen, Albert
21 Fornasier, Massimo
21 Grohs, Philipp
21 Iwen, Mark A.
21 Krahmer, Felix
21 Landsberg, Joseph Montague
21 Manchon, Dominique
21 Peyré, Gabriel
21 Schneider, Reinhold
20 Basu, Saugata
20 Cao, Feilong
20 Dinh Dũng
20 Guo, Zheng-Chu
20 Iserles, Arieh
20 Ng, Michael Kwok-Po
20 Sun, Hongwei
20 Xu, Zongben
19 Bürgisser, Peter
19 Dick, Josef
19 Fan, Jinyan
19 Gasnikov, Aleksandr V.
19 Harbrecht, Helmut
19 Hu, Ting
19 Pong, Ting Kei
19 Protasov, Vladimir Yu.
19 Shi, Lei
18 Beltrán, Carlos E.
18 Dahmen, Wolfgang A.
18 Feireisl, Eduard
18 Kutyniok, Gitta
18 Narayan, Akil C.
18 Wen, Zaiwen
17 Huybrechs, Daan
17 Lim, Lek-Heng
17 Luke, David Russell
17 Murua, Ander
17 Otárola, Enrique
17 Pardo, Luis Miguel
17 Ritter, Klaus
17 Rodriguez, Jose Israel
17 Sloan, Ian Hugh
17 Tempone, Raúl F.
17 Wu, Qiang
17 Xu, Fei
17 Zgliczyński, Piotr
16 Drusvyatskiy, Dmitriy
16 Fadili, Jalal M.
16 Li, Buyang
16 Liandrat, Jacques
16 Michałek, Mateusz
16 Nanda, Vidit
16 Oliveira, Paulo Roberto
16 Olver, Peter John
16 Pan, Shaohua
16 Parrilo, Pablo A.
16 Pilarczyk, Paweł
16 Qi, Liqun
16 Romani, Lucia
16 Sanz-Serna, Jesús María
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Cited in 756 Journals

310 Foundations of Computational Mathematics
198 Applied and Computational Harmonic Analysis
194 Mathematics of Computation
173 Numerische Mathematik
173 SIAM Journal on Optimization
169 SIAM Journal on Numerical Analysis
167 Mathematical Programming. Series A. Series B
164 Journal of Complexity
164 SIAM Journal on Scientific Computing
159 Journal of Computational Physics
158 Journal of Scientific Computing
150 Journal of Computational and Applied Mathematics
141 Linear Algebra and its Applications
132 Journal of Machine Learning Research (JMLR)
131 Journal of Symbolic Computation
121 Advances in Computational Mathematics
113 The Annals of Statistics
108 Applied Mathematics and Computation
97 Computational Optimization and Applications
91 Journal of Approximation Theory
89 SIAM Journal on Imaging Sciences
87 Journal of Optimization Theory and Applications
84 Discrete & Computational Geometry
83 Computers & Mathematics with Applications
82 Inverse Problems
79 Numerical Algorithms
79 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
78 SIAM Journal on Matrix Analysis and Applications
76 Applied Numerical Mathematics
73 Computer Methods in Applied Mechanics and Engineering
71 Constructive Approximation
70 Journal of Mathematical Analysis and Applications
64 SIAM Journal on Applied Algebra and Geometry
60 BIT
58 SIAM Journal on Mathematics of Data Science
57 Journal of Mathematical Imaging and Vision
57 Journal of Applied and Computational Topology
56 The Journal of Fourier Analysis and Applications
56 SIAM Journal on Applied Dynamical Systems
53 Electronic Journal of Statistics
52 Physica D
51 Advances in Mathematics
51 Analysis and Applications (Singapore)
50 Journal of Global Optimization
50 SIAM/ASA Journal on Uncertainty Quantification
47 Journal of Mathematical Physics
41 Journal of Differential Equations
41 Machine Learning
40 Communications in Mathematical Physics
40 Automatica
40 Calcolo
39 Nonlinearity
39 SIAM Journal on Mathematical Analysis
38 Bernoulli
38 International Journal of Wavelets, Multiresolution and Information Processing
37 Optimization Letters
37 Science China. Mathematics
34 Discrete and Continuous Dynamical Systems
34 Oberwolfach Reports
33 Information Sciences
32 Communications in Nonlinear Science and Numerical Simulation
32 Computational Methods in Applied Mathematics
31 Numerical Linear Algebra with Applications
31 Acta Numerica
31 Journal of Computational Dynamics
30 Communications on Pure and Applied Mathematics
30 Optimization Methods & Software
29 SIAM Journal on Control and Optimization
29 Journal of Physics A: Mathematical and Theoretical
28 Linear and Multilinear Algebra
28 Theoretical Computer Science
28 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
27 Journal of Pure and Applied Algebra
27 Studies in Applied Mathematics
27 Neural Computation
27 International Journal of Computer Vision
26 Advances in Applied Mathematics
25 Mathematical Methods in the Applied Sciences
25 Journal of Algebra
25 Neural Networks
25 International Journal of Computer Mathematics
25 SIAM Review
25 Multiscale Modeling & Simulation
24 Computer Physics Communications
23 Journal of the American Statistical Association
23 Mathematics of Operations Research
23 Computer Aided Geometric Design
23 Discrete and Continuous Dynamical Systems. Series B
23 Set-Valued and Variational Analysis
22 Journal of Functional Analysis
22 Journal of Nonlinear Science
22 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
22 Abstract and Applied Analysis
22 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
22 Statistics and Computing
21 Bulletin of Mathematical Biology
21 SIAM Journal on Computing
21 Acta Applicandae Mathematicae
21 Japan Journal of Industrial and Applied Mathematics
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Cited in 62 Fields

4,122 Numerical analysis (65-XX)
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643 Algebraic geometry (14-XX)
633 Calculus of variations and optimal control; optimization (49-XX)
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431 Harmonic analysis on Euclidean spaces (42-XX)
422 Ordinary differential equations (34-XX)
353 Algebraic topology (55-XX)
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