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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: 681 Publications (since 2001)
References Indexed: 565 Publications with 22,057 References.
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Latest Issues

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8, No. 1 (2008)
7, No. 4 (2007)
7, No. 3 (2007)
7, No. 2 (2007)
...and 23 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 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 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
3 Pilarczyk, Paweł
3 Ranestad, Kristian
3 Recht, Benjamin
...and 1,006 more Authors
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Fields

330 Numerical analysis (65-XX)
176 Computer science (68-XX)
106 Partial differential equations (35-XX)
94 Algebraic geometry (14-XX)
89 Operations research, mathematical programming (90-XX)
72 Approximations and expansions (41-XX)
64 Dynamical systems and ergodic theory (37-XX)
59 Linear and multilinear algebra; matrix theory (15-XX)
56 Probability theory and stochastic processes (60-XX)
53 Statistics (62-XX)
42 Algebraic topology (55-XX)
40 Commutative algebra (13-XX)
39 Calculus of variations and optimal control; optimization (49-XX)
38 Global analysis, analysis on manifolds (58-XX)
37 Ordinary differential equations (34-XX)
35 Convex and discrete geometry (52-XX)
35 Differential geometry (53-XX)
31 Functional analysis (46-XX)
31 Operator theory (47-XX)
30 Harmonic analysis on Euclidean spaces (42-XX)
30 Information and communication theory, circuits (94-XX)
23 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)
9 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)
2 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)

Publications by Year

Citations contained in zbMATH Open

637 Publications have been cited 12,390 times in 9,259 Documents Cited by Year
Exact matrix completion via convex optimization. Zbl 1219.90124
Candès, Emmanuel J.; Recht, Benjamin
708
2009
User-friendly tail bounds for sums of random matrices. Zbl 1259.60008
Tropp, Joel A.
286
2012
Optimality of a standard adaptive finite element method. Zbl 1136.65109
Stevenson, Rob
235
2007
Optimal rates for the regularized least-squares algorithm. Zbl 1129.68058
Caponnetto, A.; De Vito, E.
189
2007
Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs. Zbl 1206.60064
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
161
2010
A rigorous ODE solver and Smale’s 14th problem. Zbl 1047.37012
Tucker, Warwick
157
2002
The convex geometry of linear inverse problems. Zbl 1280.52008
Chandrasekaran, Venkat; Recht, Benjamin; Parrilo, Pablo A.; Willsky, Alan S.
152
2012
Adaptive restart for accelerated gradient schemes. Zbl 1320.90061
O’Donoghue, Brendan; Candès, Emmanuel
149
2015
A PDE approach to fractional diffusion in general domains: a priori error analysis. Zbl 1347.65178
Nochetto, Ricardo H.; Otárola, Enrique; Salgado, Abner J.
146
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.
112
2007
Random gradient-free minimization of convex functions. Zbl 1380.90220
Nesterov, Yurii; Spokoiny, Vladimir
111
2017
On the stability and accuracy of least squares approximations. Zbl 1276.93086
Cohen, Albert; Davenport, Mark A.; Leviatan, Dany
100
2013
On the ranks and border ranks of symmetric tensors. Zbl 1196.15024
Landsberg, J. M.; Teitler, Zach
99
2010
Adaptive wavelet methods. II: Beyond the elliptic case. Zbl 1025.65056
Cohen, A.; Dahmen, W.; DeVore, R.
99
2002
Local linear convergence for alternating and averaged nonconvex projections. Zbl 1169.49030
Lewis, A. S.; Luke, D. R.; Malick, J.
98
2009
Best choices for regularization parameters in learning theory: on the bias-variance problem. Zbl 1057.68085
Cucker, Felipe; Smale, Steve
94
2002
Nonlinear methods of approximation. Zbl 1039.41012
Temlyakov, V. N.
94
2003
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
89
2018
High-dimensional adaptive sparse polynomial interpolation and applications to parametric PDEs. Zbl 1298.65022
Chkifa, Abdellah; Cohen, Albert; Schwab, Christoph
85
2014
Zigzag persistence. Zbl 1204.68242
Carlsson, Gunnar; de Silva, Vin
83
2010
The Euclidean distance degree of an algebraic variety. Zbl 1370.51020
Draisma, Jan; Horobeţ, Emil; Ottaviani, Giorgio; Sturmfels, Bernd; Thomas, Rekha R.
82
2016
An interpolating distance between optimal transport and Fisher-Rao metrics. Zbl 1385.49031
Chizat, Lénaïc; Peyré, Gabriel; Schmitzer, Bernhard; Vialard, François-Xavier
76
2018
Uniform uncertainty principle and signal recovery via regularized orthogonal matching pursuit. Zbl 1183.68739
Needell, Deanna; Vershynin, Roman
75
2009
Exact support recovery for sparse spikes deconvolution. Zbl 1327.65104
Duval, Vincent; Peyré, Gabriel
75
2015
Arbitrary-order trigonometric Fourier collocation methods for multi-frequency oscillatory systems. Zbl 1341.65029
Wang, Bin; Iserles, Arieh; Wu, Xinyuan
74
2016
Model selection for regularized least-squares algorithm in learning theory. Zbl 1083.68106
Vito, E.; Caponnetto, A.; Rosasco, L.
72
2005
A geometric analysis of phase retrieval. Zbl 1401.94049
Sun, Ju; Qu, Qing; Wright, John
71
2018
Hyperbolic programs, and their derivative relaxations. Zbl 1130.90363
Renegar, James
69
2006
The theory of the interleaving distance on multidimensional persistence modules. Zbl 1335.55006
Lesnick, Michael
69
2015
On the rank of a binary form. Zbl 1211.14059
Comas, Gonzalo; Seiguer, Malena
68
2011
Solving quadratic equations via phaselift when there are about as many equations as unknowns. Zbl 1312.90054
Candès, Emmanuel J.; Li, Xiaodong
65
2014
Smooth and algebraic invariants of a group action: Local and global constructions. Zbl 1145.53006
Hubert, Evelyne; Kogan, Irina A.
64
2007
The serendipity family of finite elements. Zbl 1218.65125
Arnold, Douglas N.; Awanou, Gerard
63
2011
Hamilton-Pontryagin integrators on Lie groups. I: Introduction and structure-preserving properties. Zbl 1221.37166
Bou-Rabee, Nawaf; Marsden, Jerrold E.
63
2009
Symmetric exponential integrators with an application to the cubic Schrödinger equation. Zbl 1147.65102
Celledoni, Elena; Cohen, David; Owren, Brynjulf
63
2008
On the ideals of secant varieties of Segre varieties. Zbl 1068.14068
Landsberg, J. M.; Manivel, L.
60
2004
On the Riemannian geometry defined by self-concordant barriers and interior-point methods. Zbl 1049.90127
Nesterov, Yu. E.; Todd, M. J.
59
2002
Exact computation of joint spectral characteristics of linear operators. Zbl 1273.65054
Guglielmi, Nicola; Protasov, Vladimir
59
2013
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
56
2016
Gromov-Wasserstein distances and the metric approach to object matching. Zbl 1244.68078
Mémoli, Facundo
55
2011
Quantitative robust uncertainty principles and optimally sparse decompositions. Zbl 1102.94020
Candès, Emmanuel J.; Romberg, Justin
55
2006
On tensor completion via nuclear norm minimization. Zbl 1378.90066
Yuan, Ming; Zhang, Cun-Hui
55
2016
The \(\mathcal A\)-truncated \(K\)-moment problem. Zbl 1331.65172
Nie, Jiawang
55
2014
Algebraic structures of B-series. Zbl 1201.65124
Chartier, Philippe; Hairer, Ernst; Vilmart, Gilles
54
2010
Geometric inference for probability measures. Zbl 1230.62074
Chazal, Frédéric; Cohen-Steiner, David; Mérigot, Quentin
53
2011
Tensor networks and hierarchical tensors for the solution of high-dimensional partial differential equations. Zbl 1357.65153
Bachmayr, Markus; Schneider, Reinhold; Uschmajew, André
53
2016
Lipschitz functions have \(L_{p}\)-stable persistence. Zbl 1192.55007
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John; Mileyko, Yuriy
52
2010
\(C^1\) Lohner algorithm. Zbl 1049.65038
Zgliczynski, Piotr
52
2002
Metamorphoses through Lie group action. Zbl 1099.68116
Trouvé, Alain; Younes, Laurent
51
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
51
2017
A theoretical and computational framework for isometry invariant recognition of point cloud data. Zbl 1101.53022
Mémoli, Facundo; Sapiro, Guillermo
50
2005
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.
50
2015
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
50
2020
Transversality and alternating projections for nonconvex sets. Zbl 1338.49057
Drusvyatskiy, D.; Ioffe, A. D.; Lewis, A. S.
49
2015
Infinite-dimensional quadrature and approximation of distributions. Zbl 1177.65011
Creutzig, Jakob; Dereich, Steffen; Müller-Gronbach, Thomas; Ritter, Klaus
47
2009
Analysis of a new nonlinear subdivision scheme. Applications in image processing. Zbl 1106.41001
Amat, Sergio; Donat, Rosa; Liandrat, Jacques; Trillo, J. Carlos
46
2006
Semidefinite characterization and computation of zero-dimensional real radical ideals. Zbl 1176.14010
Lasserre, Jean Bernard; Laurent, Monique; Rostalski, Philipp
46
2008
Rigorous numerics for partial differential equations: The Kuramoto-Sivashinsky equation. Zbl 0984.65101
Zgliczyński, Piotr; Mischaikow, Konstantin
45
2001
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
A unifying local convergence result for Newton’s method in Riemannian manifolds. Zbl 1147.58008
Alvarez, F.; Bolte, J.; Munier, J.
45
2008
Exponentials reproducing subdivision schemes. Zbl 1095.41001
Dyn, Nira; Levin, David; Luzzatto, Ariel
44
2003
Low regularity exponential-type integrators for semilinear Schrödinger equations. Zbl 1402.65098
Ostermann, Alexander; Schratz, Katharina
44
2018
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
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
43
2016
Extending persistence using Poincaré and Lefschetz duality. Zbl 1189.55002
Cohen-Steiner, David; Edelsbrunner, Herbert; Harer, John
42
2009
On post-Lie algebras, Lie-Butcher series and moving frames. Zbl 1327.17001
Munthe-Kaas, Hans Z.; Lundervold, Alexander
42
2013
Stochastic subgradient method converges on tame functions. Zbl 1433.65141
Davis, Damek; Drusvyatskiy, Dmitriy; Kakade, Sham; Lee, Jason D.
41
2020
Online learning algorithms. Zbl 1119.68098
Smale, Steve; Yao, Yuan
40
2006
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
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
39
2007
Metrics for generalized persistence modules. Zbl 1345.55006
Bubenik, Peter; de Silva, Vin; Scott, Jonathan
39
2015
Generalized sampling and infinite-dimensional compressed sensing. Zbl 1379.94026
Adcock, Ben; Hansen, Anders C.
39
2016
Combinatorial sublinear-time Fourier algorithms. Zbl 1230.65145
Iwen, M. A.
38
2010
Sliding windows and persistence: an application of topological methods to signal analysis. Zbl 1325.37054
Perea, Jose A.; Harer, John
38
2015
A variational complex for difference equations. Zbl 1057.39013
Hydon, Peter E.; Mansfield, Elizabeth L.
37
2004
Joint invariant signatures. Zbl 1001.53004
Olver, Peter J.
36
2001
Rigorous numerics for dissipative partial differential equations. II: Periodic orbit for the Kuramoto-Sivashinsky PDE – a computer-assisted proof. Zbl 1066.65105
Zgliczyński, Piotr
36
2004
On the numerical stability of Fourier extensions. Zbl 1298.65198
Adcock, Ben; Huybrechs, Daan; Martín-Vaquero, Jesús
36
2014
A Riemannian view on shape optimization. Zbl 1296.49037
Schulz, Volker H.
36
2014
Random projections of smooth manifolds. Zbl 1172.53005
Baraniuk, Richard G.; Wakin, Michael B.
36
2009
The existence of Shilnikov homoclinic orbits in the Michelson system: A computer assisted proof. Zbl 1130.37415
Wilczak, Daniel
35
2006
Splitting integrators for nonlinear Schrödinger equations over long times. Zbl 1189.65301
Gauckler, Ludwig; Lubich, Christian
35
2010
A Milstein scheme for SPDEs. Zbl 1318.60072
Jentzen, Arnulf; Röckner, Michael
35
2015
Adaptive mollifiers for high resolution recovery of piecewise smooth data from its spectral information. Zbl 1056.42002
Tadmor, Eitan; Tanner, Jared
35
2002
Quadratic Newton iteration for systems with multiplicity. Zbl 1030.65050
Lecerf, G.
34
2002
Improved bounds on sample size for implicit matrix trace estimators. Zbl 1323.65043
Roosta-Khorasani, Farbod; Ascher, Uri
34
2015
The number of singular vector tuples and uniqueness of best rank-one approximation of tensors. Zbl 1326.15036
Friedland, Shmuel; Ottaviani, Giorgio
34
2014
On local convergence of the method of alternating projections. Zbl 1339.65079
Noll, Dominikus; Rondepierre, Aude
34
2016
ENO reconstruction and ENO interpolation are stable. Zbl 1273.65120
Fjordholm, Ulrik S.; Mishra, Siddhartha; Tadmor, Eitan
34
2013
A conjecture on exceptional orthogonal polynomials. Zbl 1282.33019
Gómez-Ullate, David; Kamran, Niky; Milson, Robert
34
2013
The Hopf algebra of rooted trees, free Lie algebras, and Lie series. Zbl 1116.17004
Murua, A.
33
2006
Rigorous computer-assisted application of KAM theory: a modern approach. Zbl 1383.37047
Figueras, J.-Ll.; Haro, A.; Luque, A.
33
2017
Optimal rates for regularization of statistical inverse learning problems. Zbl 1412.62042
Blanchard, Gilles; Mücke, Nicole
33
2018
Learning functions of few arbitrary linear parameters in high dimensions. Zbl 1252.65036
Fornasier, Massimo; Schnass, Karin; Vybiral, Jan
32
2012
A semidefinite approach for truncated \(K\)-moment problems. Zbl 1259.44005
Helton, J. William; Nie, Jiawang
32
2012
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
32
2020
Fast linear homotopy to find approximate zeros of polynomial systems. Zbl 1232.65075
Beltrán, Carlos; Pardo, Luis Miguel
31
2011
Parabolic molecules. Zbl 1403.42038
Grohs, Philipp; Kutyniok, Gitta
31
2014
Functional equivariance and conservation laws in numerical integration. Zbl 07808384
McLachlan, Robert I.; Stern, Ari
1
2024
Orthogonal polynomials on planar cubic curves. Zbl 1523.33005
Fasondini, Marco; Olver, Sheehan; Xu, Yuan
7
2023
Analysis of tensor approximation schemes for continuous functions. Zbl 07654471
Griebel, Michael; Harbrecht, Helmut
7
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
6
2023
Finite element systems for vector bundles: elasticity and curvature. Zbl 1512.65262
Christiansen, Snorre H.; Hu, Kaibo
4
2023
Principal components along quiver representations. Zbl 07735209
Seigal, Anna; Harrington, Heather A.; Nanda, Vidit
3
2023
Analysis and convergence of Hermite subdivision schemes. Zbl 07654470
Han, Bin
3
2023
A generalized conditional gradient method for dynamic inverse problems with optimal transport regularization. Zbl 07698612
Bredies, Kristian; Carioni, Marcello; Fanzon, Silvio; Romero, Francisco
3
2023
Exponential ReLU neural network approximation rates for point and edge singularities. Zbl 1519.35253
Marcati, Carlo; Opschoor, Joost A. A.; Petersen, Philipp C.; Schwab, Christoph
3
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
2
2023
On numerical approximations of fractional and nonlocal mean field games. Zbl 1527.35428
Chowdhury, Indranil; Ersland, Olav; Jakobsen, Espen R.
2
2023
The geometry of off-the-grid compressed sensing. Zbl 07654472
Poon, Clarice; Keriven, Nicolas; Peyré, Gabriel
2
2023
Continuum limit of Lipschitz learning on graphs. Zbl 1512.35206
Roith, Tim; Bungert, Leon
2
2023
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Retraction maps: a seed of geometric integrators. Zbl 1528.37070
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An accelerated first-order method for non-convex optimization on manifolds. Zbl 07735215
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Drift estimation of multiscale diffusions based on filtered data. Zbl 07654468
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A common variable minimax theorem for graphs. Zbl 1517.05098
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1
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Learning elliptic partial differential equations with randomized linear algebra. Zbl 1514.65194
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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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15
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14
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Primal dual methods for Wasserstein gradient flows. Zbl 07533993
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Kurdyka-Łojasiewicz exponent via inf-projection. Zbl 1501.90047
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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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7
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Deep composition of tensor-trains using squared inverse Rosenblatt transports. Zbl 1505.65191
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6
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A counter-example to Hausmann’s conjecture. Zbl 07533995
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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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5
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Vandermonde varieties, mirrored spaces, and the cohomology of symmetric semi-algebraic sets. Zbl 1497.14117
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Convergence rates of first- and higher-order dynamics for solving linear ill-posed problems. Zbl 07605400
Boţ, Radu; Dong, Guozhi; Elbau, Peter; Scherzer, Otmar
5
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Low-degree approximation of random polynomials. Zbl 1514.14072
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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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A new technique for preserving conservation laws. Zbl 1492.65235
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Learning interaction kernels in stochastic systems of interacting particles from multiple trajectories. Zbl 07568622
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Robust group synchronization via cycle-edge message passing. Zbl 07619460
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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
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Low-rank perturbation of regular matrix pencils with symmetry structures. Zbl 1514.15020
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Proximal methods avoid active strict saddles of weakly convex functions. Zbl 1494.65041
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Numerical accuracy of ladder schemes for parallel transport on manifolds. Zbl 1496.53019
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2
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Matrix concentration for products. Zbl 1505.60013
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Tropical bisectors and Voronoi diagrams. Zbl 1511.14106
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Quasi-optimal nonconforming approximation of elliptic PDEs with contrasted coefficients and \(H^{1+r}, r>0\), regularity. Zbl 1501.35156
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A geometric integration approach to nonsmooth, nonconvex optimisation. Zbl 1500.65033
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Optimization over the Boolean hypercube via sums of nonnegative circuit polynomials. Zbl 07533992
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The topological correctness of PL approximations of isomanifolds. Zbl 1506.57015
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Stationary points at infinity for analytic combinatorics. Zbl 1500.05008
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Do log factors matter? On optimal wavelet approximation and the foundations of compressed sensing. Zbl 1517.94038
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Error estimates of a Fourier integrator for the cubic Schrödinger equation at low regularity. Zbl 1486.65208
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Function values are enough for \(L_2\)-approximation. Zbl 1481.41014
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Topological properties of the set of functions generated by neural networks of fixed size. Zbl 1516.68082
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19
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A unifying representer theorem for inverse problems and machine learning. Zbl 1479.46088
Unser, Michael
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Complexes from complexes. Zbl 1520.58011
Arnold, Douglas N.; Hu, Kaibo
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Low-rank matrix recovery with composite optimization: good conditioning and rapid convergence. Zbl 1480.65100
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Primary ideals and their differential equations. Zbl 1511.13027
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Newton polytopes and relative entropy optimization. Zbl 1483.90121
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On the convergence of time splitting methods for quantum dynamics in the semiclassical regime. Zbl 1471.65038
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10
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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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Weak convergence rates for Euler-type approximations of semilinear stochastic evolution equations with nonlinear diffusion coefficients. Zbl 1482.65143
Jentzen, Arnulf; Kurniawan, Ryan
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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
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A variational finite element discretization of compressible flow. Zbl 1506.65153
Gawlik, Evan S.; Gay-Balmaz, François
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Convergence rates for discretized Monge-Ampère equations and quantitative stability of optimal transport. Zbl 1475.35151
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Towards massively parallel computations in algebraic geometry. Zbl 1485.14109
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Computing the homology of semialgebraic sets. II: General formulas. Zbl 1492.14103
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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
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On the complexity exponent of polynomial system solving. Zbl 1457.14002
van der Hoeven, Joris; Lecerf, Grégoire
6
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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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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
6
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Homological algebra for persistence modules. Zbl 1487.55008
Bubenik, Peter; Milićević, Nikola
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The Reeb graph edit distance is universal. Zbl 1485.55006
Bauer, Ulrich; Landi, Claudia; Mémoli, Facundo
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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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Noncommutative polynomials describing convex sets. Zbl 1471.14120
Helton, J. William; Klep, Igor; McCullough, Scott; Volčič, Jurij
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Perturbations of Christoffel-Darboux kernels: detection of outliers. Zbl 1470.42049
Beckermann, Bernhard; Putinar, Mihai; Saff, Edward B.; Stylianopoulos, Nikos
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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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Constraint-preserving hybrid finite element methods for Maxwell’s equations. Zbl 1478.78069
Berchenko-Kogan, Yakov; Stern, Ari
3
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Metrics, quantization and registration in varifold spaces. Zbl 1477.49066
Hsieh, Hsi-Wei; Charon, Nicolas
2
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Iterative Potts minimization for the recovery of signals with discontinuities from indirect measurements: the multivariate case. Zbl 1468.94019
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2
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Tensor-free proximal methods for lifted bilinear/quadratic inverse problems with applications to phase retrieval. Zbl 1484.65133
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1
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Exact splitting methods for semigroups generated by inhomogeneous quadratic differential operators. Zbl 1484.65331
Bernier, Joackim
1
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Optimal artificial boundary condition for random elliptic media. Zbl 1481.35035
Lu, Jianfeng; Otto, Felix
1
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Real quadratic Julia sets can have arbitrarily high complexity. Zbl 1512.37049
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1
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Stable rank-one matrix completion is solved by the level \(2\) Lasserre relaxation. Zbl 1478.90076
Cosse, Augustin; Demanet, Laurent
1
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Computing higher Leray-Serre spectral sequences of towers of fibrations. Zbl 1483.18027
Guidolin, Andrea; Romero, Ana
1
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Moment identifiability of homoscedastic Gaussian mixtures. Zbl 1469.62419
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1
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Cited by 11,043 Authors

65 Schwab, Christoph
50 Zhou, Dingxuan
40 Praetorius, Dirk
39 Ballico, Edoardo
36 Amat Plata, Sergio
35 Wu, Xinyuan
33 Hauenstein, Jonathan D.
33 Jentzen, Arnulf
32 Lessard, Jean-Philippe
31 Nie, Jiawang
31 Temlyakov, Vladimir Nikolaevich
31 Wang, Bin
28 Ferreira, Orizon Pereira
28 Nobile, Fabio
28 Stevenson, Rob P.
27 Mémoli, Facundo
27 Mrozek, Marian
26 Adcock, Ben
26 Dahlke, Stephan
25 Chartier, Philippe
25 Rauhut, Holger
25 Sturmfels, Bernd
25 Tropp, Joel A.
25 Ullrich, Tino
24 Mireles-James, Jason D.
24 Mischaikow, Konstantin
24 Woźniakowski, Henryk
23 Cucker, Felipe
23 Trillo, Juan Carlos
22 Cai, Jian-Feng
22 Carstensen, Carsten
22 Kuo, Frances Y.
22 Leok, Melvin
22 Lin, Shaobo
22 Nochetto, Ricardo Horacio
22 Rosasco, Lorenzo A.
22 Wasilkowski, Grzegorz W.
21 Bernardi, Alessandra
21 Chen, Dirong
21 Cohen, Albert
21 Ebrahimi-Fard, Kurusch
21 Fornasier, Massimo
21 Grohs, Philipp
21 Iwen, Mark A.
21 Schratz, Katharina
20 Cao, Feilong
20 Dinh Dũng
20 Krahmer, Felix
20 Landsberg, Joseph Montague
20 Peyré, Gabriel
20 Schneider, Reinhold
20 Sun, Hongwei
19 Fan, Jinyan
19 Harbrecht, Helmut
19 Iserles, Arieh
19 Manchon, Dominique
19 Protasov, Vladimir Yu.
19 Shi, Lei
19 Xu, Zongben
18 Basu, Saugata
18 Beltrán, Carlos E.
18 Bürgisser, Peter
18 Dahmen, Wolfgang A.
18 Dick, Josef
18 Gasnikov, Aleksandr V.
18 Guo, Zheng-Chu
18 Kutyniok, Gitta
18 Narayan, Akil C.
18 Ng, Michael Kwok-Po
18 Pong, Ting Kei
18 Wen, Zaiwen
17 Feireisl, Eduard
17 Huybrechs, Daan
17 Luke, David Russell
17 Otárola, Enrique
17 Rodriguez, Jose Israel
17 Tempone, Raúl F.
17 Zgliczyński, Piotr
16 Drusvyatskiy, Dmitriy
16 Fadili, Jalal M.
16 Hu, Ting
16 Lim, Lek-Heng
16 Michałek, Mateusz
16 Murua, Ander
16 Nanda, Vidit
16 Oliveira, Paulo Roberto
16 Pardo, Luis Miguel
16 Parrilo, Pablo A.
16 Ritter, Klaus
16 Romani, Lucia
16 Sanz-Serna, Jesús María
16 Sloan, Ian Hugh
16 Tong, Hongzhi
16 van den Berg, Jan Bouwe
16 Wang, Yang
15 Cancès, Clément
15 Dyn, Nira
15 Griebel, Michael
15 Guglielmi, Nicola
15 Li, Buyang
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Cited in 743 Journals

305 Foundations of Computational Mathematics
195 Applied and Computational Harmonic Analysis
190 Mathematics of Computation
168 SIAM Journal on Optimization
167 Numerische Mathematik
165 SIAM Journal on Numerical Analysis
164 Mathematical Programming. Series A. Series B
156 SIAM Journal on Scientific Computing
155 Journal of Computational Physics
155 Journal of Complexity
149 Journal of Scientific Computing
145 Journal of Computational and Applied Mathematics
137 Linear Algebra and its Applications
122 Journal of Symbolic Computation
117 Advances in Computational Mathematics
113 The Annals of Statistics
112 Journal of Machine Learning Research (JMLR)
104 Applied Mathematics and Computation
90 Journal of Approximation Theory
90 Computational Optimization and Applications
88 SIAM Journal on Imaging Sciences
83 Journal of Optimization Theory and Applications
82 Computers & Mathematics with Applications
82 Discrete & Computational Geometry
79 Inverse Problems
78 Numerical Algorithms
76 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
75 Applied Numerical Mathematics
75 SIAM Journal on Matrix Analysis and Applications
69 Constructive Approximation
67 Computer Methods in Applied Mechanics and Engineering
67 Journal of Mathematical Analysis and Applications
61 SIAM Journal on Applied Algebra and Geometry
59 BIT
57 Journal of Mathematical Imaging and Vision
56 The Journal of Fourier Analysis and Applications
56 SIAM Journal on Applied Dynamical Systems
56 Journal of Applied and Computational Topology
54 SIAM Journal on Mathematics of Data Science
53 Electronic Journal of Statistics
51 Advances in Mathematics
48 Journal of Global Optimization
48 Analysis and Applications (Singapore)
48 SIAM/ASA Journal on Uncertainty Quantification
47 Physica D
46 Journal of Mathematical Physics
41 Machine Learning
40 Calcolo
39 Communications in Mathematical Physics
38 Nonlinearity
38 Journal of Differential Equations
38 International Journal of Wavelets, Multiresolution and Information Processing
37 Automatica
37 Bernoulli
36 SIAM Journal on Mathematical Analysis
36 Science China. Mathematics
34 Oberwolfach Reports
33 Discrete and Continuous Dynamical Systems
33 Optimization Letters
32 Computational Methods in Applied Mathematics
31 Acta Numerica
31 Journal of Computational Dynamics
30 Optimization Methods & Software
28 Linear and Multilinear Algebra
28 SIAM Journal on Control and Optimization
28 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
28 Journal of Physics A: Mathematical and Theoretical
27 Journal of Pure and Applied Algebra
27 Neural Computation
27 International Journal of Computer Vision
26 Theoretical Computer Science
25 Information Sciences
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25 Multiscale Modeling & Simulation
24 SIAM Review
24 Communications in Nonlinear Science and Numerical Simulation
23 Mathematics of Operations Research
23 Advances in Applied Mathematics
23 Neural Networks
23 Discrete and Continuous Dynamical Systems. Series B
23 Set-Valued and Variational Analysis
22 Journal of Nonlinear Science
22 Abstract and Applied Analysis
22 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
22 Statistics and Computing
21 Bulletin of Mathematical Biology
21 Journal of the American Statistical Association
21 SIAM Journal on Computing
21 Acta Applicandae Mathematicae
21 Japan Journal of Industrial and Applied Mathematics
20 Archive for Rational Mechanics and Analysis
20 Journal of Functional Analysis
20 Computer Aided Geometric Design
20 Vietnam Journal of Mathematics
20 Journal of Inequalities and Applications
19 Communications on Pure and Applied Mathematics
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19 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
19 Inverse Problems and Imaging
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630 Algebraic geometry (14-XX)
603 Calculus of variations and optimal control; optimization (49-XX)
574 Dynamical systems and ergodic theory (37-XX)
421 Harmonic analysis on Euclidean spaces (42-XX)
405 Ordinary differential equations (34-XX)
341 Algebraic topology (55-XX)
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