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 2021-08-01 to 2025-08-01.)

Article	Citations
On Numerical Approximations of Fractional and Nonlocal Mean Field Games	29
BGG Sequences with Weak Regularity and Applications	21
Sampling Rates for $$\ell ^1$$-Synthesis	19
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	15
The Moving-Frame Method for the Iterated-Integrals Signature: Orthogonal Invariants	15
A New Approach to Handle Curved Meshes in the Hybrid High-Order Method	14
Symbolic Summation of Multivariate Rational Functions	14
Learning Time-Scales in Two-Layers Neural Networks	13
High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays	13
Potential Singularity of the 3D Euler Equations in the Interior Domain	13
Improved Resolution Estimate for the Two-Dimensional Super-Resolution and a New Algorithm for Direction of Arrival Estimation with Uniform Rectangular Array	13
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation	13
On the Sample Complexity of Stabilizing Linear Dynamical Systems from Data	12
Stability of 2-Parameter Persistent Homology	12
Local Geometry Determines Global Landscape in Low-Rank Factorization for Synchronization	11
The Average Condition Number of Most Tensor Rank Decomposition Problems is Infinite	11
A Unified Approach to Uniform Signal Recovery From Nonlinear Observations	11
Quantitative Convergence of a Discretization of Dynamic Optimal Transport Using the Dual Formulation	10
Gabor Phase Retrieval via Semidefinite Programming	10
Analysis of Langevin Monte Carlo from Poincaré to Log-Sobolev	10
A Construction of $$C^r$$ Conforming Finite Element Spaces in Any Dimension	9
A Local Nearly Linearly Convergent First-Order Method for Nonsmooth Functions with Quadratic Growth	9
Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic	9
A Common Variable Minimax Theorem for Graphs	9
Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions	8

Stable Spectral Methods for Time-Dependent Problems and the Preservation of Structure	8
Most Probable Paths for Anisotropic Brownian Motions on Manifolds	8
An Atlas for the Pinhole Camera	8
Uniform Distribution via Lattices: From Point Sets to Sequences	8
Mathematics of 2-Dimensional Lattices	8
Interlacing Polynomial Method for Matrix Approximation via Generalized Column and Row Selection	7
A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow	7
An Optimal Lower Bound for Smooth Convex Functions	7
Euclidean Distance Degree and Mixed Volume	6
Correction to: Conormal Spaces and Whitney Stratifications	6
Finite Element Systems for Vector Bundles: Elasticity and Curvature	6
From Kernel Methods to Neural Networks: A Unifying Variational Formulation	6
Classification of Finite Groups: Recent Developements and Open Problems	6
Error Analysis for 2D Stochastic Navier–Stokes Equations in Bounded Domains with Dirichlet Data	6
Local Space-Preserving Decompositions for the Bubble Transform	6
Optimal Approximation of Unique Continuation	6
Communication Lower Bounds for Nested Bilinear Algorithms via Rank Expansion of Kronecker Products	5
Sum-of-Squares Relaxations for Information Theory and Variational Inference	5
Proximal Galerkin: A Structure-Preserving Finite Element Method for Pointwise Bound Constraints	5
Multi-index Sequential Monte Carlo Ratio Estimators for Bayesian Inverse problems	5
Retraction Maps: A Seed of Geometric Integrators	5
Sparse Interpolation in Terms of Multivariate Chebyshev Polynomials	5
Group-Invariant Max Filtering	5
An Echelon Form of Weakly Infeasible Semidefinite Programs and Bad Projections of the psd Cone	4
Spectral Graph Matching and Regularized Quadratic Relaxations I Algorithm and Gaussian Analysis	4
Proof of the Theory-to-Practice Gap in Deep Learning via Sampling Complexity bounds for Neural Network Approximation Spaces	4
Polynomial Factorization Over Henselian Fields	4
Nodal Auxiliary Space Preconditioning for the Surface de Rham Complex	4
Quantitative Stability of the Pushforward Operation by an Optimal Transport Map	4
Sharp Bounds on the Approximation Rates, Metric Entropy, and n-Widths of Shallow Neural Networks	4
Learning Elliptic Partial Differential Equations with Randomized Linear Algebra	4
New Ramsey Multiplicity Bounds and Search Heuristics	4
Extremal Points and Sparse Optimization for Generalized Kantorovich–Rubinstein Norms	4
On the Computation of Geometric Features of Spectra of Linear Operators on Hilbert Spaces	4
Gradient Flows and Riemannian Structure in the Gromov-Wasserstein Geometry	4
Identifiability, the KL Property in Metric Spaces, and Subgradient Curves	4
Reduction of Plane Quartics and Cayley Octads	4
Phase Transitions in Rate Distortion Theory and Deep Learning	3
Algebraic Varieties in Quantum Chemistry	3
A Unified Framework for Multiscale Spectral Generalized FEMs and Low-Rank Approximations to Multiscale PDEs	3
An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency	3
Adversarial Manifold Estimation	3
Low-Dimensional Invariant Embeddings for Universal Geometric Learning	3
Unbiasing Hamiltonian Monte Carlo Algorithms for a General Hamiltonian Function	3
The Universal Equivariance Properties of Exotic Aromatic B-Series	3
Approximating Continuous Functions on Persistence Diagrams Using Template Functions	3
An Accelerated First-Order Method for Non-convex Optimization on Manifolds	3
Convergent Regularization in Inverse Problems and Linear Plug-and-Play Denoisers	3
Implicitisation and Parameterisation in Polynomial Functors	3
Further $$\exists {\mathbb {R}}$$-Complete Problems with PSD Matrix Factorizations	3

Stabilizing Decomposition of Multiparameter Persistence Modules	3
Conormal Spaces and Whitney Stratifications	3
Approximation of Generating Function Barcode for Hamiltonian Diffeomorphisms	2
Subexponential-Time Algorithms for Sparse PCA	2
An Unfiltered Low-Regularity Integrator for the KdV Equation with Solutions Below $$\mathbf{H^1}$$	2
Vandermonde Varieties, Mirrored Spaces, and the Cohomology of Symmetric Semi-algebraic Sets	2
Scattering and Uniform in Time Error Estimates for Splitting Method in NLS	2
Efficient Computation of the Zeros of the Bargmann Transform Under Additive White Noise	2
Restarts Subject to Approximate Sharpness: A Parameter-Free and Optimal Scheme For First-Order Methods	2
Resonances as a Computational Tool	2
The Gromov–Wasserstein Distance Between Spheres	2
A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization	2
Optimal Convergence Rates for the Spectrum of the Graph Laplacian on Poisson Point Clouds	2
Phaseless Sampling on Square-Root Lattices	2
Covariance’s Loss is Privacy’s Gain: Computationally Efficient, Private and Accurate Synthetic Data	2
Exotic B-Series and S-Series: Algebraic Structures and Order Conditions for Invariant Measure Sampling	2
Functional Equivariance and Conservation Laws in Numerical Integration	2
Convergence Analysis under Consistent Error Bounds	2
Bad and Good News for Strassen’s Laser Method: Border Rank of $$\mathrm{Perm}_3$$ and Strict Submultiplicativity	2
The Bubble Transform and the de Rham Complex	2
Orthogonal Polynomials on Planar Cubic Curves	2
Towards a Fluid Computer	2
Affine-Invariant Ensemble Transform Methods for Logistic Regression	2