OOIR: Observatory of International Research

Papers

(The median citation count of Foundations of Computational Mathematics is 3. 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 2022-06-01 to 2026-06-01.)

Article	Citations
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	48
Sampling Rates for $$\ell ^1$$-Synthesis	25
BGG Sequences with Weak Regularity and Applications	23
Preface	21
Doubly Regularized Entropic Wasserstein Barycenter	21
On Numerical Approximations of Fractional and Nonlocal Mean Field Games	21
Potential Singularity of the 3D Euler Equations in the Interior Domain	19
The Moving-Frame Method for the Iterated-Integrals Signature: Orthogonal Invariants	17
Covering Number of Real Algebraic Varieties and Beyond: Improved Bounds and Applications	15
A New Approach to Handle Curved Meshes in the Hybrid High-Order Method	14
Learning Time-Scales in Two-Layers Neural Networks	14
Symbolic Summation of Multivariate Rational Functions	13
High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays	13
Spectrally Accurate Fully Discrete Schemes for Some Nonlocal and Nonlinear Integrable PDEs via Explicit Formulas	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
Improved Resolution Estimate for the Two-Dimensional Super-Resolution and a New Algorithm for Direction of Arrival Estimation with Uniform Rectangular Array	12
Stability of 2-Parameter Persistent Homology	12
On the Sample Complexity of Stabilizing Linear Dynamical Systems from Data	11
Local Geometry Determines Global Landscape in Low-Rank Factorization for Synchronization	10
A Local Nearly Linearly Convergent First-Order Method for Nonsmooth Functions with Quadratic Growth	10
Gabor Phase Retrieval via Semidefinite Programming	10
Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic	10
Quantitative Convergence of a Discretization of Dynamic Optimal Transport Using the Dual Formulation	10
Stable Spectral Methods for Time-Dependent Problems and the Preservation of Structure	9

A Construction of $$C^r$$ Conforming Finite Element Spaces in Any Dimension	9
Analysis of Langevin Monte Carlo from Poincaré to Log-Sobolev	9
An Atlas for the Pinhole Camera	8
Crouzeix-Raviart elements on simplicial meshes in d dimensions	8
Mathematics of 2-Dimensional Lattices	8
Most Probable Paths for Anisotropic Brownian Motions on Manifolds	8
Correction to: Conormal Spaces and Whitney Stratifications	7
A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow	7
Riemann-Oracle: A general-purpose Riemannian optimizer to solve nearness problems in matrix theory	7
Uniform Distribution via Lattices: From Point Sets to Sequences	7
Interval Decomposition of Persistence Modules over a Principal Ideal Domain	7
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
From Kernel Methods to Neural Networks: A Unifying Variational Formulation	6
Local Space-Preserving Decompositions for the Bubble Transform	6
Optimal Approximation of Unique Continuation	6
Multi-index Sequential Monte Carlo Ratio Estimators for Bayesian Inverse problems	6
Proximal Galerkin: A Structure-Preserving Finite Element Method for Pointwise Bound Constraints	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
Sum-of-Squares Relaxations for Information Theory and Variational Inference	5
Group-Invariant Max Filtering	5
Extended Regge Complex for Linearized Riemann-Cartan Geometry and Cohomology	5
Identifiability, the KL Property in Metric Spaces, and Subgradient Curves	5
Communication Lower Bounds for Nested Bilinear Algorithms via Rank Expansion of Kronecker Products	5
Irreducible Components of Sets of Points in the Plane that Satisfy Distance Conditions	5
Nodal Auxiliary Space Preconditioning for the Surface de Rham Complex	5
Spectral Graph Matching and Regularized Quadratic Relaxations I Algorithm and Gaussian Analysis	5
Extremal Points and Sparse Optimization for Generalized Kantorovich–Rubinstein Norms	5
Retraction Maps: A Seed of Geometric Integrators	5
Quantitative Stability of the Pushforward Operation by an Optimal Transport Map	5
On the Computation of Geometric Features of Spectra of Linear Operators on Hilbert Spaces	5
Sharp Bounds on the Approximation Rates, Metric Entropy, and n-Widths of Shallow Neural Networks	4
Further $$\exists {\mathbb {R}}$$-Complete Problems with PSD Matrix Factorizations	4
Gradient Flows and Riemannian Structure in the Gromov-Wasserstein Geometry	4
Adversarial Manifold Estimation	4
Low-Dimensional Invariant Embeddings for Universal Geometric Learning	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
Reduction of Plane Quartics and Cayley Octads	4
Algebraic Varieties in Quantum Chemistry	4
An Echelon Form of Weakly Infeasible Semidefinite Programs and Bad Projections of the psd Cone	4
New Ramsey Multiplicity Bounds and Search Heuristics	4
Convergent Regularization in Inverse Problems and Linear Plug-and-Play Denoisers	4
Implicitisation and Parameterisation in Polynomial Functors	4
The Universal Equivariance Properties of Exotic Aromatic B-Series	4
Towards a Fluid Computer	3
Efficient Computation of the Zeros of the Bargmann Transform Under Additive White Noise	3
Approximating Continuous Functions on Persistence Diagrams Using Template Functions	3

Planar Regularity Structures	3
A Discrete Trace Theory for Non-Conforming Polytopal Hybrid Discretisation Methods	3
An Accelerated First-Order Method for Non-convex Optimization on Manifolds	3
Recognizing Weighted Means in Geodesic Spaces	3
Covariance’s Loss is Privacy’s Gain: Computationally Efficient, Private and Accurate Synthetic Data	3
Resonances as a Computational Tool	3
Algorithms for Mean-Field Variational Inference Via Polyhedral Optimization in the Wasserstein Space	3
Phaseless Sampling on Square-Root Lattices	3
Conormal Spaces and Whitney Stratifications	3
Persistence Diagram Bundles: A Multidimensional Generalization of Vineyards	3
Exotic B-Series and S-Series: Algebraic Structures and Order Conditions for Invariant Measure Sampling	3
Restarts Subject to Approximate Sharpness: A Parameter-Free and Optimal Scheme For First-Order Methods	3
A Unified Framework for Multiscale Spectral Generalized FEMs and Low-Rank Approximations to Multiscale PDEs	3
Unbiasing Hamiltonian Monte Carlo Algorithms for a General Hamiltonian Function	3
Nearly Self-similar Blowup of Generalized Axisymmetric Navier–Stokes Equations	3
Stabilizing Decomposition of Multiparameter Persistence Modules	3