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 2021-09-01 to 2025-09-01.)

Article	Citations
On Numerical Approximations of Fractional and Nonlocal Mean Field Games	33
BGG Sequences with Weak Regularity and Applications	21
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	19
Doubly Regularized Entropic Wasserstein Barycenter	16
Sampling Rates for $$\ell ^1$$-Synthesis	15
The Moving-Frame Method for the Iterated-Integrals Signature: Orthogonal Invariants	15
Learning Time-Scales in Two-Layers Neural Networks	14
Symbolic Summation of Multivariate Rational Functions	14
Potential Singularity of the 3D Euler Equations in the Interior Domain	14
High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays	14
A New Approach to Handle Curved Meshes in the Hybrid High-Order Method	14
Improved Resolution Estimate for the Two-Dimensional Super-Resolution and a New Algorithm for Direction of Arrival Estimation with Uniform Rectangular Array	13
Stability of 2-Parameter Persistent Homology	12
On the Sample Complexity of Stabilizing Linear Dynamical Systems from Data	12
Time Splitting and Error Estimates for Nonlinear Schrödinger Equations with a Potential	12
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation	12
The Average Condition Number of Most Tensor Rank Decomposition Problems is Infinite	11
A Unified Approach to Uniform Signal Recovery From Nonlinear Observations	11
Local Geometry Determines Global Landscape in Low-Rank Factorization for Synchronization	10
Quantitative Convergence of a Discretization of Dynamic Optimal Transport Using the Dual Formulation	10
Gabor Phase Retrieval via Semidefinite Programming	10
A Local Nearly Linearly Convergent First-Order Method for Nonsmooth Functions with Quadratic Growth	9
Analysis of Langevin Monte Carlo from Poincaré to Log-Sobolev	9
Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic	9
A Construction of $$C^r$$ Conforming Finite Element Spaces in Any Dimension	9

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

Stabilizing Decomposition of Multiparameter Persistence Modules	3
Convergent Regularization in Inverse Problems and Linear Plug-and-Play Denoisers	3
New Ramsey Multiplicity Bounds and Search Heuristics	3
Phase Transitions in Rate Distortion Theory and Deep Learning	3
Exotic B-Series and S-Series: Algebraic Structures and Order Conditions for Invariant Measure Sampling	2
Scattering and Uniform in Time Error Estimates for Splitting Method in NLS	2
Conormal Spaces and Whitney Stratifications	2
Convergence Analysis under Consistent Error Bounds	2
Phaseless Sampling on Square-Root Lattices	2
Resonances as a Computational Tool	2
Affine-Invariant Ensemble Transform Methods for Logistic Regression	2
The Gromov–Wasserstein Distance Between Spheres	2
Restarts Subject to Approximate Sharpness: A Parameter-Free and Optimal Scheme For First-Order Methods	2
Improved global performance guarantees of second-order methods in convex minimization	2
Covariance’s Loss is Privacy’s Gain: Computationally Efficient, Private and Accurate Synthetic Data	2
Bad and Good News for Strassen’s Laser Method: Border Rank of $$\mathrm{Perm}_3$$ and Strict Submultiplicativity	2
An Accelerated First-Order Method for Non-convex Optimization on Manifolds	2
Functional Equivariance and Conservation Laws in Numerical Integration	2
Towards a Fluid Computer	2
Approximation of Generating Function Barcode for Hamiltonian Diffeomorphisms	2
Orthogonal Polynomials on Planar Cubic Curves	2
Subexponential-Time Algorithms for Sparse PCA	2
Efficient Computation of the Zeros of the Bargmann Transform Under Additive White Noise	2