OOIR: Observatory of International Research

Papers

(The median citation count of Foundations of Computational Mathematics is 2. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-11-01 to 2024-11-01.)

Article	Citations
A Theoretical and Empirical Comparison of Gradient Approximations in Derivative-Free Optimization	40
Function Values Are Enough for $$L_2$$-Approximation	36
Complexes from Complexes	27
A New Upper Bound for Sampling Numbers	25
Kurdyka–Łojasiewicz Exponent via Inf-projection	24
Zeroth-Order Nonconvex Stochastic Optimization: Handling Constraints, High Dimensionality, and Saddle Points	23
Low-Rank Matrix Recovery with Composite Optimization: Good Conditioning and Rapid Convergence	21
Primal Dual Methods for Wasserstein Gradient Flows	19
An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency	17
A Variational Finite Element Discretization of Compressible Flow	17
Sharp Bounds on the Approximation Rates, Metric Entropy, and n-Widths of Shallow Neural Networks	16
On Randomized Trace Estimates for Indefinite Matrices with an Application to Determinants	14
Newton Polytopes and Relative Entropy Optimization	14
Optimal Stable Nonlinear Approximation	14
Causal Structure Learning: A Combinatorial Perspective	13
A New Technique for Preserving Conservation Laws	12
Deep Composition of Tensor-Trains Using Squared Inverse Rosenblatt Transports	12
Curve Based Approximation of Measures on Manifolds by Discrepancy Minimization	11
Learning Interaction Kernels in Stochastic Systems of Interacting Particles from Multiple Trajectories	11
Spectral Graph Matching and Regularized Quadratic Relaxations II	11
Convergence Rates for Discretized Monge–Ampère Equations and Quantitative Stability of Optimal Transport	11
A Simple Nearly Optimal Restart Scheme For Speeding Up First-Order Methods	10
Finite Element Systems for Vector Bundles: Elasticity and Curvature	10
Primary Ideals and Their Differential Equations	10
Analysis of Tensor Approximation Schemes for Continuous Functions	9

Euclidean Distance Degree and Mixed Volume	9
Convergence Rates of First- and Higher-Order Dynamics for Solving Linear Ill-Posed Problems	9
Homological Algebra for Persistence Modules	9
Covariance’s Loss is Privacy’s Gain: Computationally Efficient, Private and Accurate Synthetic Data	8
A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization	8
Potentially Singular Behavior of the 3D Navier–Stokes Equations	8
Low-Degree Approximation of Random Polynomials	8
Fenchel Duality Theory and a Primal-Dual Algorithm on Riemannian Manifolds	8
The Geometry of Off-the-Grid Compressed Sensing	8
Overcoming the Curse of Dimensionality in the Numerical Approximation of Parabolic Partial Differential Equations with Gradient-Dependent Nonlinearities	8
Learning Elliptic Partial Differential Equations with Randomized Linear Algebra	8
Do Log Factors Matter? On Optimal Wavelet Approximation and the Foundations of Compressed Sensing	7
Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds	7
A Framework for Differential Calculus on Persistence Barcodes	7
Convergence of Adaptive Discontinuous Galerkin and $$C^0$$-Interior Penalty Finite Element Methods for Hamilton–Jacobi–Bellman and Isaacs Equations	7
Computing the Sound of the Sea in a Seashell	7
Orthogonal Polynomials on Planar Cubic Curves	7
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	7
Robust Group Synchronization via Cycle-Edge Message Passing	7
Continuum Limit of Lipschitz Learning on Graphs	7
Potential Singularity of the 3D Euler Equations in the Interior Domain	7
Mathematics of 2-Dimensional Lattices	6
The Reeb Graph Edit Distance is Universal	6
Computing the Homology of Semialgebraic Sets. II: General Formulas	6
On the Representation and Learning of Monotone Triangular Transport Maps	6
Sparse Multi-Reference Alignment: Phase Retrieval, Uniform Uncertainty Principles and the Beltway Problem	6
On the Computation of Geometric Features of Spectra of Linear Operators on Hilbert Spaces	6
Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity	6
Optimality of Robust Online Learning	6
The Saddle Point Problem of Polynomials	6
A Counter-Example to Hausmann’s Conjecture	6
Tensor-Free Proximal Methods for Lifted Bilinear/Quadratic Inverse Problems with Applications to Phase Retrieval	5
Affine-Invariant Ensemble Transform Methods for Logistic Regression	5
Conormal Spaces and Whitney Stratifications	5
Proximal Methods Avoid Active Strict Saddles of Weakly Convex Functions	5
Vandermonde Varieties, Mirrored Spaces, and the Cohomology of Symmetric Semi-algebraic Sets	5
Analysis and Convergence of Hermite Subdivision Schemes	5
Cumulant–Cumulant Relations in Free Probability Theory from Magnus’ Expansion	5
Construction of $$C^2$$ Cubic Splines on Arbitrary Triangulations	5
A Geometric Integration Approach to Nonsmooth, Nonconvex Optimisation	5
Numerical Accuracy of Ladder Schemes for Parallel Transport on Manifolds	5
A Stirling-Type Formula for the Distribution of the Length of Longest Increasing Subsequences	5
On Numerical Approximations of Fractional and Nonlocal Mean Field Games	5
Efficient and Reliable Algorithms for the Computation of Non-Twist Invariant Circles	5
Metrics, Quantization and Registration in Varifold Spaces	4
Detection Thresholds in Very Sparse Matrix Completion	4
On the Sample Complexity of Stabilizing Linear Dynamical Systems from Data	4
Most Probable Paths for Anisotropic Brownian Motions on Manifolds	4
Drift Estimation of Multiscale Diffusions Based on Filtered Data	4
Retraction Maps: A Seed of Geometric Integrators	4

Optimization Over the Boolean Hypercube Via Sums of Nonnegative Circuit Polynomials	4
Spectral Graph Matching and Regularized Quadratic Relaxations I Algorithm and Gaussian Analysis	4
Error Analysis for 2D Stochastic Navier–Stokes Equations in Bounded Domains with Dirichlet Data	4
Pseudospectral Shattering, the Sign Function, and Diagonalization in Nearly Matrix Multiplication Time	4
An Atlas for the Pinhole Camera	3
Wavenumber-Explicit hp-FEM Analysis for Maxwell’s Equations with Impedance Boundary Conditions	3
Hybrid Transforms of Constructible Functions	3
Stationary Points at Infinity for Analytic Combinatorics	3
Approximating Continuous Functions on Persistence Diagrams Using Template Functions	3
Proof of the Theory-to-Practice Gap in Deep Learning via Sampling Complexity bounds for Neural Network Approximation Spaces	3
A Unified Approach to Uniform Signal Recovery From Nonlinear Observations	3
Optimal Artificial Boundary Condition for Random Elliptic Media	3
Bad and Good News for Strassen’s Laser Method: Border Rank of $$\mathrm{Perm}_3$$ and Strict Submultiplicativity	3
Exploiting Sparsity for Semi-Algebraic Set Volume Computation	3
Optimal Combination of Linear and Spectral Estimators for Generalized Linear Models	3
Low-Rank Perturbation of Regular Matrix Pencils with Symmetry Structures	3
Stability of 2-Parameter Persistent Homology	3
Correction to: Conormal Spaces and Whitney Stratifications	3
Matrix Concentration for Products	3
Convergence Analysis under Consistent Error Bounds	3
The Topological Correctness of PL Approximations of Isomanifolds	2
Tropical Bisectors and Voronoi Diagrams	2
Halting Time is Predictable for Large Models: A Universality Property and Average-Case Analysis	2
Finite Element Approximation of the Levi-Civita Connection and Its Curvature in Two Dimensions	2
Sparse Interpolation in Terms of Multivariate Chebyshev Polynomials	2
An Accelerated First-Order Method for Non-convex Optimization on Manifolds	2
Subexponential-Time Algorithms for Sparse PCA	2
A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow	2
Free Component Analysis: Theory, Algorithms and Applications	2
On the Existence of Monge Maps for the Gromov–Wasserstein Problem	2
Extremal Points and Sparse Optimization for Generalized Kantorovich–Rubinstein Norms	2
Continuity of Formal Power Series Products in Nonlinear Control Theory	2
Principal Components Along Quiver Representations	2
Duality in Finite Element Exterior Calculus and Hodge Duality on the Sphere	2
Low-Dimensional Invariant Embeddings for Universal Geometric Learning	2
Scattering and Uniform in Time Error Estimates for Splitting Method in NLS	2
Efficient Random Walks on Riemannian Manifolds	2
Sum-of-Squares Relaxations for Information Theory and Variational Inference	2
Efficient Computation of the Zeros of the Bargmann Transform Under Additive White Noise	2
The Bubble Transform and the de Rham Complex	2