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Top Articles

#TitleJournalYearCitations
1Exact Matrix Completion via Convex OptimizationFoundations of Computational Mathematics20093,637
2The Convex Geometry of Linear Inverse ProblemsFoundations of Computational Mathematics2012802
3Uniform Uncertainty Principle and Signal Recovery via Regularized Orthogonal Matching PursuitFoundations of Computational Mathematics2009741
4User-Friendly Tail Bounds for Sums of Random MatricesFoundations of Computational Mathematics2012622
5Random Gradient-Free Minimization of Convex FunctionsFoundations of Computational Mathematics2017395
6Adaptive Restart for Accelerated Gradient SchemesFoundations of Computational Mathematics2015391
7Quantitative Robust Uncertainty Principles and Optimally Sparse DecompositionsFoundations of Computational Mathematics2006375
8Optimality of a Standard Adaptive Finite Element MethodFoundations of Computational Mathematics2007337
9A Rigorous ODE Solver and Smale’s 14th ProblemFoundations of Computational Mathematics2002328
10Trust-Region Methods on Riemannian ManifoldsFoundations of Computational Mathematics2007285
11Optimal Rates for the Regularized Least-Squares AlgorithmFoundations of Computational Mathematics2007282
12Random Projections of Smooth ManifoldsFoundations of Computational Mathematics2009265
13Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEsFoundations of Computational Mathematics2010240
14A Theoretical and Computational Framework for Isometry Invariant Recognition of Point Cloud DataFoundations of Computational Mathematics2005235
15Gromov–Wasserstein Distances and the Metric Approach to Object MatchingFoundations of Computational Mathematics2011228
16Nonlinear Methods of ApproximationFoundations of Computational Mathematics2003211
17Exact Support Recovery for Sparse Spikes DeconvolutionFoundations of Computational Mathematics2015209
18Learning Rates of Least-Square Regularized RegressionFoundations of Computational Mathematics2006204
19Adaptive Wavelet Methods II—Beyond the Elliptic CaseFoundations of Computational Mathematics2002198
20Solving Quadratic Equations via PhaseLift When There Are About as Many Equations as UnknownsFoundations of Computational Mathematics2014185
21A PDE Approach to Fractional Diffusion in General Domains: A Priori Error AnalysisFoundations of Computational Mathematics2015182
22Zigzag PersistenceFoundations of Computational Mathematics2010176
23Lipschitz Functions Have L p -Stable PersistenceFoundations of Computational Mathematics2010171
24Sliding Windows and Persistence: An Application of Topological Methods to Signal AnalysisFoundations of Computational Mathematics2015170
25On the Stability and Accuracy of Least Squares ApproximationsFoundations of Computational Mathematics2013168
26On the Sample Complexity of the Linear Quadratic RegulatorFoundations of Computational Mathematics2020163
27A Geometric Analysis of Phase RetrievalFoundations of Computational Mathematics2018155
28Local Linear Convergence for Alternating and Averaged Nonconvex ProjectionsFoundations of Computational Mathematics2009150
29Metamorphoses Through Lie Group ActionFoundations of Computational Mathematics2005145
30On Tensor Completion via Nuclear Norm MinimizationFoundations of Computational Mathematics2016139
31High-Dimensional Adaptive Sparse Polynomial Interpolation and Applications to Parametric PDEsFoundations of Computational Mathematics2014134
32On the Ranks and Border Ranks of Symmetric TensorsFoundations of Computational Mathematics2010132
33Geometric Inference for Probability MeasuresFoundations of Computational Mathematics2011124
34Generalized Sampling and Infinite-Dimensional Compressed SensingFoundations of Computational Mathematics2016124
35Calculus of the Exponent of Kurdyka–Łojasiewicz Inequality and Its Applications to Linear Convergence of First-Order MethodsFoundations of Computational Mathematics2018123
36The Euclidean Distance Degree of an Algebraic VarietyFoundations of Computational Mathematics2016121
37Approximations of Shape Metrics and Application to Shape Warping and Empirical Shape StatisticsFoundations of Computational Mathematics2005120
38The Serendipity Family of Finite ElementsFoundations of Computational Mathematics2011116
39Model Selection for Regularized Least-Squares Algorithm in Learning TheoryFoundations of Computational Mathematics2005115
40Projective Plane and Planar Quantum CodesFoundations of Computational Mathematics2001113
41Random Sampling of Sparse Trigonometric Polynomials, II. Orthogonal Matching Pursuit versus Basis PursuitFoundations of Computational Mathematics2008113
42Stability and Instance Optimality for Gaussian Measurements in Compressed SensingFoundations of Computational Mathematics2010111
43Application of Quasi-Monte Carlo Methods to Elliptic PDEs with Random Diffusion Coefficients: A Survey of Analysis and ImplementationFoundations of Computational Mathematics2016110
44Hamilton–Pontryagin Integrators on Lie Groups Part I: Introduction and Structure-Preserving PropertiesFoundations of Computational Mathematics2009108
45Arbitrary-Order Trigonometric Fourier Collocation Methods for Multi-Frequency Oscillatory SystemsFoundations of Computational Mathematics2016108
46Combinatorial Sublinear-Time Fourier AlgorithmsFoundations of Computational Mathematics2010106
47Convergence of Fixed-Point Continuation Algorithms for Matrix Rank MinimizationFoundations of Computational Mathematics2011102
48An Interpolating Distance Between Optimal Transport and Fisher–Rao MetricsFoundations of Computational Mathematics2018100
49Hyperbolic Programs, and Their Derivative RelaxationsFoundations of Computational Mathematics200697
50Exact Computation of Joint Spectral Characteristics of Linear OperatorsFoundations of Computational Mathematics201395
51Online Learning AlgorithmsFoundations of Computational Mathematics200692
52Extending Persistence Using Poincaré and Lefschetz DualityFoundations of Computational Mathematics200989
53On the Ideals of Secant Varieties of Segre VarietiesFoundations of Computational Mathematics200487
54The Theory of the Interleaving Distance on Multidimensional Persistence ModulesFoundations of Computational Mathematics201586
55Symmetric Exponential Integrators with an Application to the Cubic Schrödinger EquationFoundations of Computational Mathematics200885
56Joint Invariant SignaturesFoundations of Computational Mathematics200184
57Robust Computation of Linear Models by Convex RelaxationFoundations of Computational Mathematics201584
58Tensor Networks and Hierarchical Tensors for the Solution of High-Dimensional Partial Differential EquationsFoundations of Computational Mathematics201684
59Stochastic Subgradient Method Converges on Tame FunctionsFoundations of Computational Mathematics202082
60Rigorous Numerics for Partial Differential Equations: The Kuramoto—Sivashinsky EquationFoundations of Computational Mathematics200181
61An Algorithmic Approach to Chain RecurrenceFoundations of Computational Mathematics200581
62Sign Conditions for Injectivity of Generalized Polynomial Maps with Applications to Chemical Reaction Networks and Real Algebraic GeometryFoundations of Computational Mathematics201681
63On the Rank of a Binary FormFoundations of Computational Mathematics201180
64Semidefinite Characterization and Computation of Zero-Dimensional Real Radical IdealsFoundations of Computational Mathematics200879
65Multi-level Quasi-Monte Carlo Finite Element Methods for a Class of Elliptic PDEs with Random CoefficientsFoundations of Computational Mathematics201578
66A Variational Complex for Difference EquationsFoundations of Computational Mathematics200475
67Implicit Regularization in Nonconvex Statistical Estimation: Gradient Descent Converges Linearly for Phase Retrieval, Matrix Completion, and Blind DeconvolutionFoundations of Computational Mathematics202073
68The $${\mathcal {A}}$$ A -Truncated $$K$$ K -Moment ProblemFoundations of Computational Mathematics201472
69Sharp Recovery Bounds for Convex Demixing, with ApplicationsFoundations of Computational Mathematics201468
70Construction of Approximate Entropy Measure-Valued Solutions for Hyperbolic Systems of Conservation LawsFoundations of Computational Mathematics201768
71Infinite-Dimensional Compressed Sensing and Function InterpolationFoundations of Computational Mathematics201867
72Infinite-Dimensional Quadrature and Approximation of DistributionsFoundations of Computational Mathematics200964
73The Hopf Algebra of Rooted Trees, Free Lie Algebras, and Lie SeriesFoundations of Computational Mathematics200663
74Analysis of a New Nonlinear Subdivision Scheme. Applications in Image ProcessingFoundations of Computational Mathematics200663
75Online Gradient Descent Learning AlgorithmsFoundations of Computational Mathematics200863
76Error Estimates for Spectral Convergence of the Graph Laplacian on Random Geometric Graphs Toward the Laplace–Beltrami OperatorFoundations of Computational Mathematics202062
77Convergence of the Magnus SeriesFoundations of Computational Mathematics200861
78Approximation Methods for Supervised LearningFoundations of Computational Mathematics200660
79Algebraic Structures of B-seriesFoundations of Computational Mathematics201060
80A Gradient-Descent Method for Curve Fitting on Riemannian ManifoldsFoundations of Computational Mathematics201260
81On Post-Lie Algebras, Lie–Butcher Series and Moving FramesFoundations of Computational Mathematics201360
82Low Regularity Exponential-Type Integrators for Semilinear Schrödinger EquationsFoundations of Computational Mathematics201860
83Solving the Likelihood EquationsFoundations of Computational Mathematics200559
84Learning Functions of Few Arbitrary Linear Parameters in High DimensionsFoundations of Computational Mathematics201259
85Analysis of Discrete $$L^2$$ L 2 Projection on Polynomial Spaces with Random EvaluationsFoundations of Computational Mathematics201459
86Robust Statistics, Hypothesis Testing, and Confidence Intervals for Persistent Homology on Metric Measure SpacesFoundations of Computational Mathematics201459
87Exponentials Reproducing Subdivision SchemesFoundations of Computational Mathematics200358
88A Unifying Local Convergence Result for Newton's Method in Riemannian ManifoldsFoundations of Computational Mathematics200858
89Metrics for Generalized Persistence ModulesFoundations of Computational Mathematics201558
90Transversality and Alternating Projections for Nonconvex SetsFoundations of Computational Mathematics201558
91Mean Estimation and Regression Under Heavy-Tailed Distributions: A SurveyFoundations of Computational Mathematics201958
92Quadratic Newton Iteration for Systems with MultiplicityFoundations of Computational Mathematics200257
93Modeling Language EvolutionFoundations of Computational Mathematics200457
94Direct and Inverse Sobolev Error Estimates for Scattered Data Interpolation via Spherical Basis FunctionsFoundations of Computational Mathematics200757
95Adaptive Mollifiers for High Resolution Recovery of Piecewise Smooth Data from its Spectral InformationFoundations of Computational Mathematics200255
96Sobolev Duals for Random Frames and ΣΔ Quantization of Compressed Sensing MeasurementsFoundations of Computational Mathematics201355
97Rigorous Numerics for Dissipative Partial Differential Equations II. Periodic Orbit for the Kuramoto?Sivashinsky PDE?A Computer-Assisted ProofFoundations of Computational Mathematics200454
98Discrete Morse Theoretic Algorithms for Computing Homology of Complexes and MapsFoundations of Computational Mathematics201454
99Improved Bounds on Sample Size for Implicit Matrix Trace EstimatorsFoundations of Computational Mathematics201554
100On the Hopf Algebraic Structure of Lie Group IntegratorsFoundations of Computational Mathematics200853