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 2021-06-01 to 2025-06-01.)

Article	Citations
On Numerical Approximations of Fractional and Nonlocal Mean Field Games	29
BGG Sequences with Weak Regularity and Applications	25
Sampling Rates for $$\ell ^1$$-Synthesis	24
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	21
Stationary Points at Infinity for Analytic Combinatorics	19
A Framework for Differential Calculus on Persistence Barcodes	19
Potential Singularity of the 3D Euler Equations in the Interior Domain	16
Cumulant–Cumulant Relations in Free Probability Theory from Magnus’ Expansion	16
The Moving-Frame Method for the Iterated-Integrals Signature: Orthogonal Invariants	15
High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays	14
Symbolic Summation of Multivariate Rational Functions	13
Learning Time-Scales in Two-Layers Neural Networks	13
A New Approach to Handle Curved Meshes in the Hybrid High-Order Method	13
Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds	13
Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity	11
Stability of 2-Parameter Persistent Homology	11
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation	11
Improved Resolution Estimate for the Two-Dimensional Super-Resolution and a New Algorithm for Direction of Arrival Estimation with Uniform Rectangular Array	11
A Unified Approach to Uniform Signal Recovery From Nonlinear Observations	11
On the Sample Complexity of Stabilizing Linear Dynamical Systems from Data	11
Analysis of Langevin Monte Carlo from Poincaré to Log-Sobolev	10
Gabor Phase Retrieval via Semidefinite Programming	10
Local Geometry Determines Global Landscape in Low-Rank Factorization for Synchronization	10
The Average Condition Number of Most Tensor Rank Decomposition Problems is Infinite	10
Quantitative Convergence of a Discretization of Dynamic Optimal Transport Using the Dual Formulation	10

A Construction of $$C^r$$ Conforming Finite Element Spaces in Any Dimension	9
Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic	9
A Local Nearly Linearly Convergent First-Order Method for Nonsmooth Functions with Quadratic Growth	9
A Common Variable Minimax Theorem for Graphs	8
Mathematics of 2-Dimensional Lattices	8
An Atlas for the Pinhole Camera	8
Automorphism Groups of Certain Enriques Surfaces	8
Most Probable Paths for Anisotropic Brownian Motions on Manifolds	7
Stable Spectral Methods for Time-Dependent Problems and the Preservation of Structure	7
Euclidean Distance Degree and Mixed Volume	7
A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow	7
Correction to: Conormal Spaces and Whitney Stratifications	7
Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions	7
From Kernel Methods to Neural Networks: A Unifying Variational Formulation	7
Finite Element Systems for Vector Bundles: Elasticity and Curvature	6
Optimal Approximation of Unique Continuation	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
Proximal Galerkin: A Structure-Preserving Finite Element Method for Pointwise Bound Constraints	6
Local Space-Preserving Decompositions for the Bubble Transform	6
Multi-index Sequential Monte Carlo Ratio Estimators for Bayesian Inverse problems	6
Sparse Interpolation in Terms of Multivariate Chebyshev Polynomials	6
Learning Elliptic Partial Differential Equations with Randomized Linear Algebra	5
On the Computation of Geometric Features of Spectra of Linear Operators on Hilbert Spaces	5
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
Quantitative Stability of the Pushforward Operation by an Optimal Transport Map	5
Spectral Graph Matching and Regularized Quadratic Relaxations I Algorithm and Gaussian Analysis	5
Retraction Maps: A Seed of Geometric Integrators	5
Extremal Points and Sparse Optimization for Generalized Kantorovich–Rubinstein Norms	5
Nodal Auxiliary Space Preconditioning for the Surface de Rham Complex	5
Proof of the Theory-to-Practice Gap in Deep Learning via Sampling Complexity bounds for Neural Network Approximation Spaces	5
Group-Invariant Max Filtering	5
An Echelon Form of Weakly Infeasible Semidefinite Programs and Bad Projections of the psd Cone	5
Identifiability, the KL Property in Metric Spaces, and Subgradient Curves	4
Convergent Regularization in Inverse Problems and Linear Plug-and-Play Denoisers	4
Implicitisation and Parameterisation in Polynomial Functors	4
Phase Transitions in Rate Distortion Theory and Deep Learning	4
New Ramsey Multiplicity Bounds and Search Heuristics	4
Algebraic Varieties in Quantum Chemistry	4
The Universal Equivariance Properties of Exotic Aromatic B-Series	4
Sharp Bounds on the Approximation Rates, Metric Entropy, and n-Widths of Shallow Neural Networks	4
Polynomial Factorization Over Henselian Fields	4
Further $$\exists {\mathbb {R}}$$-Complete Problems with PSD Matrix Factorizations	4
Low-Dimensional Invariant Embeddings for Universal Geometric Learning	4
Approximating Continuous Functions on Persistence Diagrams Using Template Functions	3
Unbiasing Hamiltonian Monte Carlo Algorithms for a General Hamiltonian Function	3
Conormal Spaces and Whitney Stratifications	3
Orthogonal Polynomials on Planar Cubic Curves	3
An Accelerated First-Order Method for Non-convex Optimization on Manifolds	3

A Unified Framework for Multiscale Spectral Generalized FEMs and Low-Rank Approximations to Multiscale PDEs	3
Stabilizing Decomposition of Multiparameter Persistence Modules	3
An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency	3
Learning Interaction Kernels in Stochastic Systems of Interacting Particles from Multiple Trajectories	3
Adversarial Manifold Estimation	3
Overcoming the Curse of Dimensionality in the Numerical Approximation of Parabolic Partial Differential Equations with Gradient-Dependent Nonlinearities	3
Phaseless Sampling on Square-Root Lattices	3
Efficient Computation of the Zeros of the Bargmann Transform Under Additive White Noise	3
Covariance’s Loss is Privacy’s Gain: Computationally Efficient, Private and Accurate Synthetic Data	3
The Gromov–Wasserstein Distance Between Spheres	2
Functional Equivariance and Conservation Laws in Numerical Integration	2
Exotic B-Series and S-Series: Algebraic Structures and Order Conditions for Invariant Measure Sampling	2
Affine-Invariant Ensemble Transform Methods for Logistic Regression	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
An Unfiltered Low-Regularity Integrator for the KdV Equation with Solutions Below $$\mathbf{H^1}$$	2
Correction to: Lie–Poisson Methods for Isospectral Flows	2
Vandermonde Varieties, Mirrored Spaces, and the Cohomology of Symmetric Semi-algebraic Sets	2
Resonances as a Computational Tool	2
Restarts Subject to Approximate Sharpness: A Parameter-Free and Optimal Scheme For First-Order Methods	2
Approximation of Generating Function Barcode for Hamiltonian Diffeomorphisms	2
Subexponential-Time Algorithms for Sparse PCA	2
Symmetric Bases for Finite Element Exterior Calculus Spaces	2
Optimal Convergence Rates for the Spectrum of the Graph Laplacian on Poisson Point Clouds	2
Scattering and Uniform in Time Error Estimates for Splitting Method in NLS	2
The Topological Correctness of PL Approximations of Isomanifolds	2
Towards a Fluid Computer	2
A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization	2
Convergence Analysis under Consistent Error Bounds	2
Koszul Complexes and Relative Homological Algebra of Functors Over Posets	2