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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: http://link.springer.com/journal/volumesAndIssues/10208
Comments: Indexed cover-to-cover
Documents Indexed: 611 Publications (since 2001)
References Indexed: 495 Publications with 18,538 References.
all top 5

Latest Issues

22, No. 4 (2022)
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10, No. 6 (2010)
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9, No. 6 (2009)
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7, No. 4 (2007)
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6, No. 4 (2006)
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5, No. 4 (2005)
5, No. 3 (2005)
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4, No. 4 (2004)
...and 13 more Volumes
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Authors

10 Beltrán, Carlos
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 Murua, Ander
8 Smale, Steve
7 Munthe-Kaas, Hans Z.
7 Sturmfels, Bernd
6 Basu, Saugata
6 Mansfield, Elizabeth Louise
6 McLachlan, Robert I.
6 Pardo, Luis Miguel
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 Nochetto, Ricardo Horacio
5 Ritter, Klaus
5 Sanz-Serna, Jesús María
5 Schwab, Christoph
5 Zgliczyński, Piotr
4 Bachmayr, Markus
4 Caponnetto, Andrea
4 Demanet, Laurent
4 Drusvyatskiy, Dmitriy
4 Dyn, Nira
4 Edelman, Alan Stuart
4 Hairer, Ernst
4 Harer, John L.
4 Hauenstein, Jonathan D.
4 Hydon, Peter Ellsworth
4 Jentzen, Arnulf
4 Leok, Melvin
4 Mémoli, Facundo
4 Nie, Jiawang
4 Quispel, Gilles Reinout Willem
4 Saff, Edward Barry
4 Sottile, Frank
4 Stern, Ari
4 Temlyakov, Vladimir Nikolaevich
4 Yampolsky, Michael
3 Adcock, Ben
3 Baratchart, Laurent
3 Barvinok, Alexander I.
3 Chandrasekaran, Venkat
3 Charon, Nicolas
3 Davis, Damek
3 De Loera, Jesús A.
3 Dereich, Steffen
3 Ebrahimi-Fard, Kurusch
3 Freedman, Michael Hartley
3 Grohs, Philipp
3 Hauser, Raphael Andreas
3 Heintz, Joos
3 Holm, Darryl Dallas
3 Hubert, Evelyne
3 Huybrechs, Daan
3 Landi, Claudia
3 Landsberg, Joseph Montague
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 Nanda, Vidit
3 Nesterov, Yurii
3 Olver, Peter John
3 Olver, Sheehan Shakiban
3 Oudot, Steve Yann
3 Peyré, Gabriel
3 Pilarczyk, Paweł
3 Ranestad, Kristian
3 Recht, Benjamin
3 Renegar, James
3 Romberg, Justin K.
3 Rosasco, Lorenzo A.
3 Salvy, Bruno
3 Stevenson, Rob P.
3 Strohmer, Thomas
...and 871 more Authors
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Fields

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

Publications by Year

Citations contained in zbMATH Open

572 Publications have been cited 9,570 times in 7,314 Documents Cited by Year
Exact matrix completion via convex optimization. Zbl 1219.90124
Candès, Emmanuel J.; Recht, Benjamin
549
2009
User-friendly tail bounds for sums of random matrices. Zbl 1259.60008
Tropp, Joel A.
220
2012
Optimality of a standard adaptive finite element method. Zbl 1136.65109
Stevenson, Rob
201
2007
Optimal rates for the regularized least-squares algorithm. Zbl 1129.68058
Caponnetto, A.; De Vito, E.
148
2007
Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs. Zbl 1206.60064
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
136
2010
The convex geometry of linear inverse problems. Zbl 1280.52008
Chandrasekaran, Venkat; Recht, Benjamin; Parrilo, Pablo A.; Willsky, Alan S.
132
2012
A rigorous ODE solver and Smale’s 14th problem. Zbl 1047.37012
Tucker, Warwick
129
2002
Learning rates of least-square regularized regression. Zbl 1100.68100
Wu, Qiang; Ying, Yiming; Zhou, Ding-Xuan
121
2006
A PDE approach to fractional diffusion in general domains: a priori error analysis. Zbl 1347.65178
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
114
2015
Adaptive restart for accelerated gradient schemes. Zbl 1320.90061
O’Donoghue, Brendan; Candès, Emmanuel
104
2015
Adaptive wavelet methods. II: Beyond the elliptic case. Zbl 1025.65056
Cohen, A.; Dahmen, W.; DeVore, R.
91
2002
On the ranks and border ranks of symmetric tensors. Zbl 1196.15024
Landsberg, J. M.; Teitler, Zach
91
2010
Best choices for regularization parameters in learning theory: on the bias-variance problem. Zbl 1057.68085
Cucker, Felipe; Smale, Steve
90
2002
Nonlinear methods of approximation. Zbl 1039.41012
Temlyakov, V. N.
89
2003
Local linear convergence for alternating and averaged nonconvex projections. Zbl 1169.49030
Lewis, A. S.; Luke, D. R.; Malick, J.
89
2009
Trust-region methods on Riemannian manifolds. Zbl 1129.65045
Absil, P.-A.; Baker, C. G.; Gallivan, K. A.
87
2007
On the stability and accuracy of least squares approximations. Zbl 1276.93086
Cohen, Albert; Davenport, Mark A.; Leviatan, Dany
79
2013
The Euclidean distance degree of an algebraic variety. Zbl 1370.51020
Draisma, Jan; Horobeţ, Emil; Ottaviani, Giorgio; Sturmfels, Bernd; Thomas, Rekha R.
69
2016
High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs. Zbl 1298.65022
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
67
2014
Uniform uncertainty principle and signal recovery via regularized orthogonal matching pursuit. Zbl 1183.68739
Needell, Deanna; Vershynin, Roman
67
2009
On the rank of a binary form. Zbl 1211.14059
Comas, Gonzalo; Seiguer, Malena
66
2011
Model selection for regularized least-squares algorithm in learning theory. Zbl 1083.68106
Vito, E.; Caponnetto, A.; Rosasco, L.
65
2005
Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems. Zbl 1341.65029
Wang, Bin; Iserles, Arieh; Wu, Xinyuan
62
2016
Smooth and algebraic invariants of a group action: Local and global constructions. Zbl 1145.53006
Hubert, Evelyne; Kogan, Irina A.
62
2007
Zigzag persistence. Zbl 1204.68242
Carlsson, Gunnar; de Silva, Vin
59
2010
Random gradient-free minimization of convex functions. Zbl 1380.90220
Nesterov, Yurii; Spokoiny, Vladimir
58
2017
Hyperbolic programs, and their derivative relaxations. Zbl 1130.90363
Renegar, James
57
2006
On the ideals of secant varieties of Segre varieties. Zbl 1068.14068
Landsberg, J. M.; Manivel, L.
55
2004
Exact support recovery for sparse spikes deconvolution. Zbl 1327.65104
Duval, Vincent; Peyré, Gabriel
54
2015
On the Riemannian geometry defined by self-concordant barriers and interior-point methods. Zbl 1049.90127
Nesterov, Yu. E.; Todd, M. J.
53
2002
Quantitative robust uncertainty principles and optimally sparse decompositions. Zbl 1102.94020
Candès, Emmanuel J.; Romberg, Justin
51
2006
An interpolating distance between optimal transport and Fisher-Rao metrics. Zbl 1385.49031
Chizat, Lénaïc; Peyré, Gabriel; Schmitzer, Bernhard; Vialard, François-Xavier
51
2018
Solving quadratic equations via phaselift when there are about as many equations as unknowns. Zbl 1312.90054
Candès, Emmanuel J.; Li, Xiaodong
50
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
49
2016
Symmetric exponential integrators with an application to the cubic Schrödinger equation. Zbl 1147.65102
Celledoni, Elena; Cohen, David; Owren, Brynjulf
49
2008
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
47
2018
The theory of the interleaving distance on multidimensional persistence modules. Zbl 1335.55006
Lesnick, Michael
47
2015
The serendipity family of finite elements. Zbl 1218.65125
Arnold, Douglas N.; Awanou, Gerard
46
2011
A geometric analysis of phase retrieval. Zbl 1401.94049
Sun, Ju; Qu, Qing; Wright, John
45
2018
Geometric inference for probability measures. Zbl 1230.62074
Chazal, Frédéric; Cohen-Steiner, David; Mérigot, Quentin
45
2011
Hamilton-Pontryagin integrators on Lie groups. I: Introduction and structure-preserving properties. Zbl 1221.37166
Bou-Rabee, Nawaf; Marsden, Jerrold E.
45
2009
Metamorphoses through Lie group action. Zbl 1099.68116
Trouvé, Alain; Younes, Laurent
44
2005
Exponentials reproducing subdivision schemes. Zbl 1095.41001
Dyn, Nira; Levin, David; Luzzatto, Ariel
44
2003
Exact computation of joint spectral characteristics of linear operators. Zbl 1273.65054
Guglielmi, Nicola; Protasov, Vladimir
44
2013
Analysis of a new nonlinear subdivision scheme. Applications in image processing. Zbl 1106.41001
Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos
43
2006
Infinite-dimensional quadrature and approximation of distributions. Zbl 1177.65011
Creutzig, Jakob; Dereich, Steffen; Müller-Gronbach, Thomas; Ritter, Klaus
43
2009
Transversality and alternating projections for nonconvex sets. Zbl 1338.49057
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
42
2015
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.
42
2015
The \(\mathcal A\)-truncated \(K\)-moment problem. Zbl 1331.65172
Nie, Jiawang
42
2014
Analysis of discrete \(L^2\) projection on polynomial spaces with random evaluations. Zbl 1301.41005
Migliorati, G.; Nobile, F.; von Schwerin, E.; Tempone, R.
42
2014
A theoretical and computational framework for isometry invariant recognition of point cloud data. Zbl 1101.53022
Mémoli, Facundo; Sapiro, Guillermo
41
2005
On tensor completion via nuclear norm minimization. Zbl 1378.90066
Yuan, Ming; Zhang, Cun-Hui
41
2016
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
41
2017
A unifying local convergence result for Newton’s method in Riemannian manifolds. Zbl 1147.58008
Alvarez, F.; Bolte, J.; Munier, J.
41
2008
\(C^1\) Lohner algorithm. Zbl 1049.65038
Zgliczynski, Piotr
40
2002
Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation. Zbl 0984.65101
Zgliczyński, Piotr; Mischaikow, Konstantin
40
2001
Lipschitz functions have \(L_{p}\)-stable persistence. Zbl 1192.55007
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John; Mileyko, Yuriy
40
2010
An algorithmic approach to chain recurrence. Zbl 1099.37010
Kalies, W. D.; Mischaikow, K.; VanderVorst, R. C. A. M.
39
2005
Algebraic structures of B-series. Zbl 1201.65124
Chartier, Philippe; Hairer, Ernst; Vilmart, Gilles
39
2010
Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations. Zbl 1357.65153
Bachmayr, Markus; Schneider, Reinhold; Uschmajew, André
38
2016
Semidefinite characterization and computation of zero-dimensional real radical ideals. Zbl 1176.14010
Lasserre, Jean Bernard; Laurent, Monique; Rostalski, Philipp
38
2008
Generalized sampling and infinite-dimensional compressed sensing. Zbl 1379.94026
Adcock, Ben; Hansen, Anders C.
37
2016
Approximation methods for supervised learning. Zbl 1146.62322
DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique; Temlyakov, Vladimir
36
2006
Online learning algorithms. Zbl 1119.68098
Smale, Steve; Yao, Yuan
35
2006
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
35
2007
Metrics for generalized persistence modules. Zbl 1345.55006
Bubenik, Peter; de Silva, Vin; Scott, Jonathan
34
2015
Combinatorial sublinear-time Fourier algorithms. Zbl 1230.65145
Iwen, M. A.
34
2010
Extending persistence using Poincaré and Lefschetz duality. Zbl 1189.55002
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
34
2009
On post-Lie algebras, Lie-Butcher series and moving frames. Zbl 1327.17001
Munthe-Kaas, Hans Z.; Lundervold, Alexander
33
2013
A conjecture on exceptional orthogonal polynomials. Zbl 1282.33019
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
33
2013
Quadratic Newton iteration for systems with multiplicity. Zbl 1030.65050
Lecerf, G.
32
2002
Rigorous numerics for dissipative partial differential equations. II: Periodic orbit for the Kuramoto-Sivashinsky PDE – a computer-assisted proof. Zbl 1066.65105
Zgliczyński, Piotr
32
2004
The existence of Shilnikov homoclinic orbits in the Michelson system: A computer assisted proof. Zbl 1130.37415
Wilczak, Daniel
32
2006
Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information. Zbl 1056.42002
Tadmor, Eitan; Tanner, Jared
31
2002
A variational complex for difference equations. Zbl 1057.39013
Hydon, Peter E.; Mansfield, Elizabeth L.
31
2004
The number of singular vector tuples and uniqueness of best rank-one approximation of tensors. Zbl 1326.15036
Friedland, Shmuel; Ottaviani, Giorgio
31
2014
Joint invariant signatures. Zbl 1001.53004
Olver, Peter J.
30
2001
Improved bounds on sample size for implicit matrix trace estimators. Zbl 1323.65043
Roosta-Khorasani, Farbod; Ascher, Uri
30
2015
On the numerical stability of Fourier extensions. Zbl 1298.65198
Adcock, Ben; Huybrechs, Daan; Martín-Vaquero, Jesús
30
2014
A Riemannian view on shape optimization. Zbl 1296.49037
Schulz, Volker H.
30
2014
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
29
2020
Splitting integrators for nonlinear Schrödinger equations over long times. Zbl 1189.65301
Gauckler, Ludwig; Lubich, Christian
29
2010
Numerical analysis of a robust free energy diminishing finite volume scheme for parabolic equations with gradient structure. Zbl 1382.65267
Cancès, Clément; Guichard, Cindy
29
2017
Low regularity exponential-type integrators for semilinear Schrödinger equations. Zbl 1402.65098
Ostermann, Alexander; Schratz, Katharina
28
2018
On local convergence of the method of alternating projections. Zbl 1339.65079
Noll, Dominikus; Rondepierre, Aude
28
2016
Convergence of fixed-point continuation algorithms for matrix rank minimization. Zbl 1219.90195
Goldfarb, Donald; Ma, Shiqian
28
2011
Gromov-Wasserstein distances and the metric approach to object matching. Zbl 1244.68078
Mémoli, Facundo
28
2011
Complexity of Bezout’s theorem. VI: Geodesics in the condition (number) metric. Zbl 1175.65060
Shub, Michael
28
2009
The Hopf algebra of rooted trees, free Lie algebras, and Lie series. Zbl 1116.17004
Murua, A.
28
2006
Tractability of approximation for weighted Korobov spaces on classical and quantum computers. Zbl 1072.81014
Novak, Erich; Sloan, Ian H.; Woźniakowski, Henryk
27
2004
Finding hidden cliques of size \(\sqrt{N/e}\) in nearly linear time. Zbl 1347.05227
Deshpande, Yash; Montanari, Andrea
27
2015
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
27
2016
Fast linear homotopy to find approximate zeros of polynomial systems. Zbl 1232.65075
Beltrán, Carlos; Pardo, Luis Miguel
27
2011
A semidefinite approach for truncated \(K\)-moment problems. Zbl 1259.44005
Helton, J. William; Nie, Jiawang
27
2012
Rigorous computer-assisted application of KAM theory: a modern approach. Zbl 1383.37047
Figueras, J.-Ll.; Haro, A.; Luque, A.
27
2017
Sliding windows and persistence: an application of topological methods to signal analysis. Zbl 1325.37054
Perea, Jose A.; Harer, John
27
2015
The computational complexity of the Chow form. Zbl 1058.14075
Jeronimo, Gabriela; Krick, Teresa; Sabia, Juan; Sombra, Martín
26
2004
Parabolic molecules. Zbl 1403.42038
Grohs, Philipp; Kutyniok, Gitta
26
2014
Adaptive kernel methods using the balancing principle. Zbl 1204.68154
De Vito, E.; Pereverzyev, S.; Rosasco, L.
26
2010
Stochastic subgradient method converges on tame functions. Zbl 1433.65141
Davis, Damek; Drusvyatskiy, Dmitriy; Kakade, Sham; Lee, Jason D.
26
2020
A theoretical and empirical comparison of gradient approximations in derivative-free optimization. Zbl 07533997
Berahas, Albert S.; Cao, Liyuan; Choromanski, Krzysztof; Scheinberg, Katya
4
2022
On randomized trace estimates for indefinite matrices with an application to determinants. Zbl 07536706
Cortinovis, Alice; Kressner, Daniel
3
2022
Primal dual methods for Wasserstein gradient flows. Zbl 07533993
Carrillo, José A.; Craig, Katy; Wang, Li; Wei, Chaozhen
2
2022
A new upper bound for sampling numbers. Zbl 07533994
Nagel, Nicolas; Schäfer, Martin; Ullrich, Tino
2
2022
A counter-example to Hausmann’s conjecture. Zbl 07533995
Virk, Žiga
2
2022
Convergence of adaptive discontinuous Galerkin and \(C^0\)-interior penalty finite element methods for Hamilton-Jacobi-Bellman and Isaacs equations. Zbl 1492.65314
Kawecki, Ellya L.; Smears, Iain
1
2022
Proximal methods avoid active strict saddles of weakly convex functions. Zbl 07533998
Davis, Damek; Drusvyatskiy, Dmitriy
1
2022
Optimal stable nonlinear approximation. Zbl 07536699
Cohen, Albert; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
1
2022
Cumulant-cumulant relations in free probability theory from Magnus’ expansion. Zbl 07536702
Celestino, Adrian; Ebrahimi-Fard, Kurusch; Patras, Frédéric; Perales, Daniel
1
2022
Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations with gradient-dependent nonlinearities. Zbl 07568620
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
1
2022
Kurdyka-Łojasiewicz exponent via inf-projection. Zbl 07568625
Yu, Peiran; Li, Guoyin; Pong, Ting Kei
1
2022
Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity. Zbl 1486.65208
Ostermann, Alexander; Rousset, Frédéric; Schratz, Katharina
14
2021
Function values are enough for \(L_2\)-approximation. Zbl 1481.41014
Krieg, David; Ullrich, Mario
10
2021
Topological properties of the set of functions generated by neural networks of fixed size. Zbl 07356508
Petersen, Philipp; Raslan, Mones; Voigtlaender, Felix
7
2021
Newton polytopes and relative entropy optimization. Zbl 1483.90121
Murray, Riley; Chandrasekaran, Venkat; Wierman, Adam
5
2021
Complexes from complexes. Zbl 07458824
Arnold, Douglas N.; Hu, Kaibo
5
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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
4
2021
Primary ideals and their differential equations. Zbl 07434418
Cid-Ruiz, Yairon; Homs, Roser; Sturmfels, Bernd
4
2021
The Reeb graph edit distance is universal. Zbl 1485.55006
Bauer, Ulrich; Landi, Claudia; Mémoli, Facundo
4
2021
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
4
2021
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
3
2021
Weak convergence rates for Euler-type approximations of semilinear stochastic evolution equations with nonlinear diffusion coefficients. Zbl 1482.65143
Jentzen, Arnulf; Kurniawan, Ryan
3
2021
Wavenumber-explicit hp-FEM analysis for Maxwell’s equations with transparent boundary conditions. Zbl 1460.35085
Melenk, Jens M.; Sauter, Stefan A.
3
2021
Data analysis from empirical moments and the Christoffel function. Zbl 1461.62234
Pauwels, Edouard; Putinar, Mihai; Lasserre, Jean-Bernard
3
2021
Towards massively parallel computations in algebraic geometry. Zbl 1485.14109
Böhm, Janko; Decker, Wolfram; Frühbis-Krüger, Anne; Pfreundt, Franz-Josef; Rahn, Mirko; Ristau, Lukas
3
2021
On the complexity exponent of polynomial system solving. Zbl 1457.14002
van der Hoeven, Joris; Lecerf, Grégoire
2
2021
Perturbations of Christoffel-Darboux kernels: detection of outliers. Zbl 1470.42049
Beckermann, Bernhard; Putinar, Mihai; Saff, Edward B.; Stylianopoulos, Nikos
2
2021
On the convergence of time splitting methods for quantum dynamics in the semiclassical regime. Zbl 1471.65038
Golse, François; Jin, Shi; Paul, Thierry
2
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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
2
2021
A variational finite element discretization of compressible flow. Zbl 07404750
Gawlik, Evan S.; Gay-Balmaz, François
2
2021
Convergence rates for discretized Monge-Ampère equations and quantitative stability of optimal transport. Zbl 1475.35151
Berman, Robert J.
2
2021
Computing the homology of semialgebraic sets. II: General formulas. Zbl 1492.14103
Bürgisser, Peter; Cucker, Felipe; Tonelli-Cueto, Josué
2
2021
Metrics, quantization and registration in varifold spaces. Zbl 1477.49066
Hsieh, Hsi-Wei; Charon, Nicolas
2
2021
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
2
2021
The Grassmannian of affine subspaces. Zbl 1485.14096
Lim, Lek-Heng; Wong, Ken Sze-Wai; Ye, Ke
1
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Noncommutative polynomials describing convex sets. Zbl 1471.14120
Helton, J. William; Klep, Igor; McCullough, Scott; Volčič, Jurij
1
2021
Real quadratic Julia sets can have arbitrarily high complexity. Zbl 07326846
Rojas, Cristobal; Yampolsky, Michael
1
2021
A unifying representer theorem for inverse problems and machine learning. Zbl 1479.46088
Unser, Michael
1
2021
Computing higher Leray-Serre spectral sequences of towers of fibrations. Zbl 1483.18027
Guidolin, Andrea; Romero, Ana
1
2021
Curve based approximation of measures on manifolds by discrepancy minimization. Zbl 1491.65048
Ehler, Martin; Gräf, Manuel; Neumayer, Sebastian; Steidl, Gabriele
1
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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
29
2020
Stochastic subgradient method converges on tame functions. Zbl 1433.65141
Davis, Damek; Drusvyatskiy, Dmitriy; Kakade, Sham; Lee, Jason D.
26
2020
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
20
2020
On the sample complexity of the linear quadratic regulator. Zbl 1447.49052
Dean, Sarah; Mania, Horia; Matni, Nikolai; Recht, Benjamin; Tu, Stephen
11
2020
Operator scaling: theory and applications. Zbl 1432.68617
Garg, Ankit; Gurvits, Leonid; Oliveira, Rafael; Wigderson, Avi
9
2020
A new class of uniformly accurate numerical schemes for highly oscillatory evolution equations. Zbl 07161200
Chartier, Philippe; Lemou, Mohammed; Méhats, Florian; Vilmart, Gilles
8
2020
Stability of low-rank tensor representations and structured multilevel preconditioning for elliptic PDEs. Zbl 1454.65160
Bachmayr, Markus; Kazeev, Vladimir
8
2020
Convergence analysis of deterministic kernel-based quadrature rules in misspecified settings. Zbl 07161204
Kanagawa, Motonobu; Sriperumbudur, Bharath K.; Fukumizu, Kenji
7
2020
Computing the interleaving distance is NP-hard. Zbl 1460.55006
Bjerkevik, Håvard Bakke; Botnan, Magnus Bakke; Kerber, Michael
6
2020
Computing tropical varieties over fields with valuation. Zbl 1445.14085
Markwig, Thomas; Ren, Yue
5
2020
Convergence of finite volume schemes for the Euler equations via dissipative measure-valued solutions. Zbl 1447.65050
Feireisl, Eduard; Lukáčová-Medvid’ová, Mária; Mizerová, Hana
5
2020
Linking combinatorial and classical dynamics: Conley index and Morse decompositions. Zbl 1456.37040
Batko, Bogdan; Kaczynski, Tomasz; Mrozek, Marian; Wanner, Thomas
5
2020
Multisymplecticity of hybridizable discontinuous Galerkin methods. Zbl 1472.65147
Mclachlan, Robert I.; Stern, Ari
4
2020
Computing the homology of semialgebraic sets. I: Lax formulas. Zbl 1440.14264
Bürgisser, Peter; Cucker, Felipe; Tonelli-Cueto, Josué
4
2020
Local cohomology and stratification. Zbl 1439.55005
Nanda, Vidit
4
2020
The real polynomial eigenvalue problem is well conditioned on the average. Zbl 1472.14068
Beltrán, Carlos; Kozhasov, Khazhgali
3
2020
Certifying global optimality of graph cuts via semidefinite relaxation: a performance guarantee for spectral clustering. Zbl 1445.90109
Ling, Shuyang; Strohmer, Thomas
3
2020
On the convergence of the spectral viscosity method for the two-dimensional incompressible Euler equations with rough initial data. Zbl 1454.65125
Lanthaler, Samuel; Mishra, Siddhartha
3
2020
Effective models and numerical homogenization for wave propagation in heterogeneous media on arbitrary timescales. Zbl 1456.35015
Abdulle, Assyr; Pouchon, Timothée
3
2020
Mathematics of smoothed particle hydrodynamics: a study via nonlocal Stokes equations. Zbl 1448.76112
Du, Qiang; Tian, Xiaochuan
2
2020
Lie-Poisson methods for isospectral flows. Zbl 1450.37073
Modin, Klas; Viviani, Milo
2
2020
Geometry of matrix polynomial spaces. Zbl 1444.15007
Dmytryshyn, Andrii; Johansson, Stefan; Kågström, Bo; Van Dooren, Paul
2
2020
Reconstruction and interpolation of manifolds. I: The geometric Whitney problem. Zbl 1470.53045
Fefferman, Charles; Ivanov, Sergei; Kurylev, Yaroslav; Lassas, Matti; Narayanan, Hariharan
2
2020
Inverse potential problems for divergence of measures with total variation regularization. Zbl 1460.35077
Baratchart, L.; Villalobos Guillén, C.; Hardin, D. P.; Northington, M. C.; Saff, E. B.
2
2020
Wilkinson’s bus: weak condition numbers, with an application to singular polynomial eigenproblems. Zbl 1455.65056
Lotz, Martin; Noferini, Vanni
2
2020
On the minimal displacement vector of compositions and convex combinations of nonexpansive mappings. Zbl 07290668
Bauschke, Heinz H.; Moursi, Walaa M.
2
2020
Symbolic computations of first integrals for polynomial vector fields. Zbl 1485.34006
Chèze, Guillaume; Combot, Thierry
1
2020
Tropical combinatorial Nullstellensatz and sparse polynomials. Zbl 1455.14126
Grigoriev, Dima; Podolskii, Vladimir V.
1
2020
Are two given maps homotopic? An algorithmic viewpoint. Zbl 1436.55020
Filakovský, M.; Vokřínek, L.
1
2020
Projective geometry of Wachspress coordinates. Zbl 1451.14131
Kohn, Kathlén; Ranestad, Kristian
1
2020
Preservation of bifurcations of Hamiltonian boundary value problems under discretisation. Zbl 1455.65114
McLachlan, Robert I.; Offen, Christian
1
2020
Propagation of one- and two-dimensional discrete waves under finite difference approximation. Zbl 1457.35009
Biccari, Umberto; Marica, Aurora; Zuazua, Enrique
1
2020
Analysis of artifacts in shell-based image inpainting: why they occur and how to eliminate them. Zbl 07290667
Hocking, L. Robert; Holding, Thomas; Schönlieb, Carola-Bibiane
1
2020
Correction to: “The complexity of factors of multivariate polynomials”. Zbl 1470.68046
Bürgisser, Peter
1
2020
Stable phase retrieval in infinite dimensions. Zbl 1440.94010
Alaifari, Rima; Daubechies, Ingrid; Grohs, Philipp; Yin, Rujie
16
2019
Mean estimation and regression under heavy-tailed distributions: A survey. Zbl 1431.62123
Lugosi, Gábor; Mendelson, Shahar
13
2019
Stable extrapolation of analytic functions. Zbl 1410.41001
Demanet, Laurent; Townsend, Alex
12
2019
Tensor FEM for spectral fractional diffusion. Zbl 1429.65272
Banjai, Lehel; Melenk, Jens M.; Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.; Schwab, Christoph
11
2019
Efficient methods for the estimation of homogenized coefficients. Zbl 1411.82021
Mourrat, J.-C.
10
2019
Fundamental limits of weak recovery with applications to phase retrieval. Zbl 1464.62296
Mondelli, Marco; Montanari, Andrea
9
2019
On polynomial time methods for exact low-rank tensor completion. Zbl 1436.15031
Xia, Dong; Yuan, Ming
8
2019
Tropical coordinates on the space of persistence barcodes. Zbl 1423.55007
Kališnik, Sara
8
2019
Correction to: “On the stability and accuracy of least squares approximations”. Zbl 1407.93436
Cohen, Albert; Davenport, Mark A.; Leviatan, Dany
8
2019
Random bit quadrature and approximation of distributions on Hilbert spaces. Zbl 1432.60044
Giles, Michael B.; Hefter, Mario; Mayer, Lukas; Ritter, Klaus
7
2019
The geometry of gaussoids. Zbl 1453.13076
Boege, Tobias; D’Alì, Alessio; Kahle, Thomas; Sturmfels, Bernd
6
2019
On the Dirac-Frenkel variational principle on tensor Banach spaces. Zbl 1427.46013
Falcó, Antonio; Hackbusch, Wolfgang; Nouy, Anthony
6
2019
Lower bounds on matrix factorization ranks via noncommutative polynomial optimization. Zbl 07118503
Gribling, Sander; de Laat, David; Laurent, Monique
5
2019
Orthogonal systems with a skew-symmetric differentiation matrix. Zbl 1428.42048
Iserles, Arieh; Webb, Marcus
5
2019
Rational invariants of even ternary forms under the orthogonal group. Zbl 1439.13019
Görlach, Paul; Hubert, Evelyne; Papadopoulo, Théo
5
2019
A geometric framework for stochastic shape analysis. Zbl 1422.60089
Arnaudon, Alexis; Holm, Darryl D.; Sommer, Stefan
5
2019
Probabilistic condition number estimates for real polynomial systems. I: A broader family of distributions. Zbl 1409.65033
Ergür, Alperen A.; Paouris, Grigoris; Rojas, J. Maurice
5
2019
Semidefinite approximations of the matrix logarithm. Zbl 1411.90254
Fawzi, Hamza; Saunderson, James; Parrilo, Pablo A.
4
2019
Improved complexity bounds for counting points on hyperelliptic curves. Zbl 1470.11170
Abelard, Simon; Gaudry, Pierrick; Spaenlehauer, Pierre-Jean
4
2019
Unified convergence analysis of numerical schemes for a miscible displacement problem. Zbl 1411.65109
Droniou, Jérôme; Eymard, Robert; Prignet, Alain; Talbot, Kyle S.
3
2019
On a randomized backward Euler method for nonlinear evolution equations with time-irregular coefficients. Zbl 07135262
Eisenmann, Monika; Kovács, Mihály; Kruse, Raphael; Larsson, Stig
3
2019
Complexity of sparse polynomial solving: homotopy on toric varieties and the condition metric. Zbl 1408.65032
Malajovich, Gregorio
3
2019
A polynomial rate of asymptotic regularity for compositions of projections in Hilbert space. Zbl 07027311
Kohlenbach, Ulrich
3
2019
Complexity classes and completeness in algebraic geometry. Zbl 1422.14065
Umut Isik, M.
2
2019
Solving equations of random convex functions via anchored regression. Zbl 1422.62235
Bahmani, Sohail; Romberg, Justin
2
2019
Variational discretizations of gauge field theories using group-equivariant interpolation. Zbl 1437.37110
Leok, Melvin
2
2019
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Cited by 8,878 Authors

53 Schwab, Christoph
46 Zhou, Dingxuan
38 Ballico, Edoardo
36 Praetorius, Dirk
32 Amat, Sergio P.
31 Wu, Xinyuan
28 Hauenstein, Jonathan D.
28 Lessard, Jean-Philippe
28 Temlyakov, Vladimir Nikolaevich
27 Ferreira, Orizon Pereira
27 Jentzen, Arnulf
25 Dahlke, Stephan
25 Mrozek, Marian
25 Nobile, Fabio
25 Wang, Bin
24 Chartier, Philippe
24 Nie, Jiawang
24 Stevenson, Rob P.
23 Rauhut, Holger
23 Woźniakowski, Henryk
22 Mireles-James, Jason D.
22 Mischaikow, Konstantin
22 Sturmfels, Bernd
22 Trillo, Juan Carlos
21 Carstensen, Carsten
21 Chen, Dirong
21 Cucker, Felipe
21 Kuo, Frances Y.
21 Mémoli, Facundo
21 Ullrich, Tino
21 Wasilkowski, Grzegorz W.
20 Adcock, Ben
20 Bernardi, Alessandra
20 Tropp, Joel A.
19 Lin, Shaobo
19 Nochetto, Ricardo Horacio
19 Sun, Hongwei
19 Xu, Zongben
18 Cai, Jian-Feng
18 Cao, Feilong
18 Fornasier, Massimo
17 Beltrán, Carlos
17 Bürgisser, Peter
17 Dick, Josef
17 Dinh Dũng
17 Fan, Jinyan
17 Grohs, Philipp
17 Krahmer, Felix
17 Landsberg, Joseph Montague
17 Leok, Melvin
17 Peyré, Gabriel
17 Rosasco, Lorenzo A.
17 Zgliczyński, Piotr
16 Cohen, Albert
16 Drusvyatskiy, Dmitriy
16 Ebrahimi-Fard, Kurusch
16 Harbrecht, Helmut
16 Iserles, Arieh
16 Iwen, Mark A.
16 Kutyniok, Gitta
16 Luke, David Russell
16 Manchon, Dominique
16 Narayan, Akil C.
16 Oliveira, Paulo Roberto
16 Pardo, Luis Miguel
16 Romani, Lucia
16 Schneider, Reinhold
16 Sloan, Ian Hugh
15 Dahmen, Wolfgang A.
15 Dyn, Nira
15 Hu, Ting
15 Huybrechs, Daan
15 Liandrat, Jacques
15 Michałek, Mateusz
15 Murua, Ander
15 Pilarczyk, Paweł
15 Ritter, Klaus
15 Schratz, Katharina
15 Tempone, Raúl F.
15 Wen, Zaiwen
15 Zou, Bin
14 Absil, Pierre-Antoine
14 Cevher, Volkan
14 Conti, Costanza
14 Fadili, Jalal M.
14 Feireisl, Eduard
14 Guo, Zheng-Chu
14 Kruger, Alexander Y.
14 Li, Song
14 Lim, Lek-Heng
14 Méhats, Florian
14 Mourrain, Bernard
14 Otárola, Enrique
14 Pong, Ting Kei
14 Protasov, Vladimir Yu.
14 Sickel, Winfried
14 van den Berg, Jan Bouwe
14 Wei, Ke
14 Wu, Qiang
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Cited in 656 Journals

261 Foundations of Computational Mathematics
173 Applied and Computational Harmonic Analysis
167 Mathematics of Computation
146 Numerische Mathematik
136 SIAM Journal on Numerical Analysis
136 Journal of Complexity
131 SIAM Journal on Scientific Computing
125 Linear Algebra and its Applications
124 SIAM Journal on Optimization
121 Mathematical Programming. Series A. Series B
120 Journal of Computational Physics
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115 Journal of Scientific Computing
106 Journal of Symbolic Computation
91 The Annals of Statistics
91 Applied Mathematics and Computation
91 Advances in Computational Mathematics
87 Journal of Approximation Theory
72 Journal of Machine Learning Research (JMLR)
71 Computational Optimization and Applications
71 SIAM Journal on Imaging Sciences
68 Journal of Optimization Theory and Applications
68 Numerical Algorithms
65 Computers & Mathematics with Applications
63 Applied Numerical Mathematics
60 Discrete & Computational Geometry
59 Journal of Mathematical Analysis and Applications
57 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
56 Constructive Approximation
54 SIAM Journal on Matrix Analysis and Applications
51 Electronic Journal of Statistics
50 Inverse Problems
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48 Journal of Mathematical Imaging and Vision
48 The Journal of Fourier Analysis and Applications
47 SIAM Journal on Applied Dynamical Systems
45 Advances in Mathematics
45 BIT
44 SIAM Journal on Applied Algebra and Geometry
43 Analysis and Applications (Singapore)
42 SIAM Journal on Mathematics of Data Science
40 SIAM/ASA Journal on Uncertainty Quantification
40 Journal of Applied and Computational Topology
39 Journal of Mathematical Physics
39 Physica D
38 Journal of Global Optimization
36 International Journal of Wavelets, Multiresolution and Information Processing
34 Journal of Differential Equations
33 Science China. Mathematics
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31 Bernoulli
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29 Automatica
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23 Multiscale Modeling & Simulation
22 Linear and Multilinear Algebra
22 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
22 Abstract and Applied Analysis
21 Acta Applicandae Mathematicae
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20 Optimization Letters
19 Bulletin of Mathematical Biology
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19 Information and Inference
18 Information Sciences
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18 SIAM Journal on Control and Optimization
18 Japan Journal of Industrial and Applied Mathematics
18 Vietnam Journal of Mathematics
17 Journal of Geometry and Physics
17 Mathematics of Operations Research
17 Neural Networks
17 Communications in Nonlinear Science and Numerical Simulation
17 Inverse Problems and Imaging
16 Archive for Rational Mechanics and Analysis
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16 SIAM Journal on Computing
16 Journal of Nonlinear Science
16 Mathematics in Computer Science
16 Statistics and Computing
15 Mathematische Zeitschrift
15 Optimization
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Transactions of the American Mathematical Society
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