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 2022-01-01 to 2026-01-01.)

Article	Citations
Sampling Rates for $$\ell ^1$$-Synthesis	38
Doubly Regularized Entropic Wasserstein Barycenter	21
BGG Sequences with Weak Regularity and Applications	19
On Numerical Approximations of Fractional and Nonlocal Mean Field Games	18
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	18
The Moving-Frame Method for the Iterated-Integrals Signature: Orthogonal Invariants	17
Preface	17
Covering Number of Real Algebraic Varieties and Beyond: Improved Bounds and Applications	16
High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays	16
Potential Singularity of the 3D Euler Equations in the Interior Domain	16
Symbolic Summation of Multivariate Rational Functions	15
Learning Time-Scales in Two-Layers Neural Networks	14
A New Approach to Handle Curved Meshes in the Hybrid High-Order Method	13
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation	13
Time Splitting and Error Estimates for Nonlinear Schrödinger Equations with a Potential	12
Improved Resolution Estimate for the Two-Dimensional Super-Resolution and a New Algorithm for Direction of Arrival Estimation with Uniform Rectangular Array	12
The Average Condition Number of Most Tensor Rank Decomposition Problems is Infinite	11
On the Sample Complexity of Stabilizing Linear Dynamical Systems from Data	11
Local Geometry Determines Global Landscape in Low-Rank Factorization for Synchronization	11
Stability of 2-Parameter Persistent Homology	11
Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic	10
Quantitative Convergence of a Discretization of Dynamic Optimal Transport Using the Dual Formulation	10
A Local Nearly Linearly Convergent First-Order Method for Nonsmooth Functions with Quadratic Growth	10
A Unified Approach to Uniform Signal Recovery From Nonlinear Observations	10
A Common Variable Minimax Theorem for Graphs	9

A Construction of $$C^r$$ Conforming Finite Element Spaces in Any Dimension	9
Gabor Phase Retrieval via Semidefinite Programming	9
An Atlas for the Pinhole Camera	9
Analysis of Langevin Monte Carlo from Poincaré to Log-Sobolev	9
Mathematics of 2-Dimensional Lattices	8
Stable Spectral Methods for Time-Dependent Problems and the Preservation of Structure	7
An Optimal Lower Bound for Smooth Convex Functions	7
Most Probable Paths for Anisotropic Brownian Motions on Manifolds	7
Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions	7
Interval Decomposition of Persistence Modules over a Principal Ideal Domain	6
Riemann-Oracle: A general-purpose Riemannian optimizer to solve nearness problems in matrix theory	6
Uniform Distribution via Lattices: From Point Sets to Sequences	6
A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow	6
Interlacing Polynomial Method for Matrix Approximation via Generalized Column and Row Selection	6
Optimal Approximation of Unique Continuation	5
Correction to: Conormal Spaces and Whitney Stratifications	5
Multi-index Sequential Monte Carlo Ratio Estimators for Bayesian Inverse problems	5
Extremal Points and Sparse Optimization for Generalized Kantorovich–Rubinstein Norms	5
Error Analysis for 2D Stochastic Navier–Stokes Equations in Bounded Domains with Dirichlet Data	5
Finite Element Systems for Vector Bundles: Elasticity and Curvature	5
From Kernel Methods to Neural Networks: A Unifying Variational Formulation	5
Communication Lower Bounds for Nested Bilinear Algorithms via Rank Expansion of Kronecker Products	5
Group-Invariant Max Filtering	5
Proximal Galerkin: A Structure-Preserving Finite Element Method for Pointwise Bound Constraints	5
Local Space-Preserving Decompositions for the Bubble Transform	5
Classification of Finite Groups: Recent Developements and Open Problems	5
Sum-of-Squares Relaxations for Information Theory and Variational Inference	5
Irreducible Components of Sets of Points in the Plane that Satisfy Distance Conditions	5
Retraction Maps: A Seed of Geometric Integrators	4
Nodal Auxiliary Space Preconditioning for the Surface de Rham Complex	4
On the Computation of Geometric Features of Spectra of Linear Operators on Hilbert Spaces	4
Sharp Bounds on the Approximation Rates, Metric Entropy, and n-Widths of Shallow Neural Networks	4
Proof of the Theory-to-Practice Gap in Deep Learning via Sampling Complexity bounds for Neural Network Approximation Spaces	4
An Echelon Form of Weakly Infeasible Semidefinite Programs and Bad Projections of the psd Cone	4
Quantitative Stability of the Pushforward Operation by an Optimal Transport Map	4
Learning Elliptic Partial Differential Equations with Randomized Linear Algebra	4
Reduction of Plane Quartics and Cayley Octads	4
Identifiability, the KL Property in Metric Spaces, and Subgradient Curves	4
Gradient Flows and Riemannian Structure in the Gromov-Wasserstein Geometry	4
Spectral Graph Matching and Regularized Quadratic Relaxations I Algorithm and Gaussian Analysis	4
Polynomial Factorization Over Henselian Fields	4
Conormal Spaces and Whitney Stratifications	3
Algebraic Varieties in Quantum Chemistry	3
Convergent Regularization in Inverse Problems and Linear Plug-and-Play Denoisers	3
Unbiasing Hamiltonian Monte Carlo Algorithms for a General Hamiltonian Function	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
Phaseless Sampling on Square-Root Lattices	3
Low-Dimensional Invariant Embeddings for Universal Geometric Learning	3
Implicitisation and Parameterisation in Polynomial Functors	3

Planar Regularity Structures	3
Adversarial Manifold Estimation	3
Approximating Continuous Functions on Persistence Diagrams Using Template Functions	3
Efficient Computation of the Zeros of the Bargmann Transform Under Additive White Noise	3
The Universal Equivariance Properties of Exotic Aromatic B-Series	3
Algorithms for Mean-Field Variational Inference Via Polyhedral Optimization in the Wasserstein Space	3
Further $$\exists {\mathbb {R}}$$-Complete Problems with PSD Matrix Factorizations	3
New Ramsey Multiplicity Bounds and Search Heuristics	3
A Unified Framework for Multiscale Spectral Generalized FEMs and Low-Rank Approximations to Multiscale PDEs	3
Stabilizing Decomposition of Multiparameter Persistence Modules	3
Recognizing Weighted Means in Geodesic Spaces	2
Towards a Fluid Computer	2
Functional Equivariance and Conservation Laws in Numerical Integration	2
Convergence Analysis under Consistent Error Bounds	2
Subexponential-Time Algorithms for Sparse PCA	2
The Gromov–Wasserstein Distance Between Spheres	2
Covariance’s Loss is Privacy’s Gain: Computationally Efficient, Private and Accurate Synthetic Data	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
Approximation of Generating Function Barcode for Hamiltonian Diffeomorphisms	2
An Unfiltered Low-Regularity Integrator for the KdV Equation with Solutions Below $$\mathbf{H^1}$$	2
A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization	2
Scattering and Uniform in Time Error Estimates for Splitting Method in NLS	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
Resonances as a Computational Tool	2
Bad and Good News for Strassen’s Laser Method: Border Rank of $$\mathrm{Perm}_3$$ and Strict Submultiplicativity	2
Optimal Convergence Rates for the Spectrum of the Graph Laplacian on Poisson Point Clouds	2