OOIR: Observatory of International Research

Papers

(The median citation count of Foundations of Computational Mathematics is 1. 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 2021-04-01 to 2025-04-01.)

Article	Citations
Adversarial Manifold Estimation	40
Sampling Rates for $$\ell ^1$$-Synthesis	27
Non-parametric Learning of Stochastic Differential Equations with Non-asymptotic Fast Rates of Convergence	24
On Numerical Approximations of Fractional and Nonlocal Mean Field Games	21
Convergence Analysis under Consistent Error Bounds	17
Most Probable Paths for Anisotropic Brownian Motions on Manifolds	16
Unbiasing Hamiltonian Monte Carlo Algorithms for a General Hamiltonian Function	14
Pseudospectral Shattering, the Sign Function, and Diagonalization in Nearly Matrix Multiplication Time	14
A Framework for Differential Calculus on Persistence Barcodes	14
Matrix Concentration for Products	14
The Universal Equivariance Properties of Exotic Aromatic B-Series	13
On the Representation and Learning of Monotone Triangular Transport Maps	13
Bad and Good News for Strassen’s Laser Method: Border Rank of $$\mathrm{Perm}_3$$ and Strict Submultiplicativity	12
Discrete Weber Inequalities and Related Maxwell Compactness for Hybrid Spaces over Polyhedral Partitions of Domains with General Topology	12
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	11
Optimal Polynomial Meshes Exist on any Multivariate Convex Domain	11
BGG Sequences with Weak Regularity and Applications	11
Approximating Continuous Functions on Persistence Diagrams Using Template Functions	10
On Randomized Trace Estimates for Indefinite Matrices with an Application to Determinants	10
Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions	9
Implicitisation and Parameterisation in Polynomial Functors	9
Toward Computational Morse–Floer Homology: Forcing Results for Connecting Orbits by Computing Relative Indices of Critical Points	9
Subexponential-Time Algorithms for Sparse PCA	8
Deep Composition of Tensor-Trains Using Squared Inverse Rosenblatt Transports	8
Overcoming the Curse of Dimensionality in the Numerical Approximation of Parabolic Partial Differential Equations with Gradient-Dependent Nonlinearities	8

Stationary Points at Infinity for Analytic Combinatorics	7
Learning Time-Scales in Two-Layers Neural Networks	7
Algebraic Varieties in Quantum Chemistry	7
Sums of Squares Certificates for Polynomial Moment Inequalities	7
Principal Components Along Quiver Representations	7
A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization	7
Approximation of Generating Function Barcode for Hamiltonian Diffeomorphisms	7
Computability in Harmonic Analysis	7
Koszul Complexes and Relative Homological Algebra of Functors Over Posets	7
The Topological Correctness of PL Approximations of Isomanifolds	7
A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow	7
Conormal Spaces and Whitney Stratifications	6
Symmetric Bases for Finite Element Exterior Calculus Spaces	6
Cumulant–Cumulant Relations in Free Probability Theory from Magnus’ Expansion	6
Orthogonal Polynomials on Planar Cubic Curves	6
An Accelerated First-Order Method for Non-convex Optimization on Manifolds	6
Efficient Computation of the Zeros of the Bargmann Transform Under Additive White Noise	6
Convex Analysis on Hadamard Spaces and Scaling Problems	6
An Unfiltered Low-Regularity Integrator for the KdV Equation with Solutions Below $$\mathbf{H^1}$$	6
The Moving-Frame Method for the Iterated-Integrals Signature: Orthogonal Invariants	6
Optimal Convergence Rates for the Spectrum of the Graph Laplacian on Poisson Point Clouds	5
Potential Singularity of the 3D Euler Equations in the Interior Domain	5
A New Technique for Preserving Conservation Laws	5
Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds	5
A Counter-Example to Hausmann’s Conjecture	5
Optimization Over the Boolean Hypercube Via Sums of Nonnegative Circuit Polynomials	5
Learning Interaction Kernels in Stochastic Systems of Interacting Particles from Multiple Trajectories	5
A Stirling-Type Formula for the Distribution of the Length of Longest Increasing Subsequences	5
Sparse Spectral Methods for Solving High-Dimensional and Multiscale Elliptic PDEs	5
Correction to: Lie–Poisson Methods for Isospectral Flows	5
Correction to: Conormal Spaces and Whitney Stratifications	5
Bias in the Representative Volume Element method: Periodize the Ensemble Instead of Its Realizations	4
An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency	4
High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays	4
Euclidean Distance Degree and Mixed Volume	4
The Bubble Transform and the de Rham Complex	4
The Canny–Emiris Conjecture for the Sparse Resultant	4
A Theoretical and Empirical Comparison of Gradient Approximations in Derivative-Free Optimization	4
Phaseless Sampling on Square-Root Lattices	4
A New Approach to Handle Curved Meshes in the Hybrid High-Order Method	4
Stabilizing Decomposition of Multiparameter Persistence Modules	4
Stable Liftings of Polynomial Traces on Tetrahedra	3
Improved Resolution Estimate for the Two-Dimensional Super-Resolution and a New Algorithm for Direction of Arrival Estimation with Uniform Rectangular Array	3
Restarts Subject to Approximate Sharpness: A Parameter-Free and Optimal Scheme For First-Order Methods	3
On the Sample Complexity of Stabilizing Linear Dynamical Systems from Data	3
Sparse Interpolation in Terms of Multivariate Chebyshev Polynomials	3
Exotic B-Series and S-Series: Algebraic Structures and Order Conditions for Invariant Measure Sampling	3
Proximal Galerkin: A Structure-Preserving Finite Element Method for Pointwise Bound Constraints	3
Continuum Limit of Lipschitz Learning on Graphs	3
Optimal Approximation of Unique Continuation	3

Analysis and Convergence of Hermite Subdivision Schemes	3
Stability of 2-Parameter Persistent Homology	3
Explicit Computation of a Galois Representation Attached to an Eigenform Over $${\text {SL}}_3$$ from the $${{\text {H}}}_{\acute{\mathrm{e}}\mathrm{t}}^2$$ of a Surface	3
Safely Learning Dynamical Systems	3
Computational Complexity of Decomposing a Symmetric Matrix as a Sum of Positive Semidefinite and Diagonal Matrices	3
Distinguishing secant from cactus varieties	3
Polynomial and Rational Measure Modifications of Orthogonal Polynomials via Infinite-Dimensional Banded Matrix Factorizations	3
Hybrid Transforms of Constructible Functions	3
Computing the Noncommutative Inner Rank by Means of Operator-Valued Free Probability Theory	2
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation	2
Classification of Finite Groups: Recent Developements and Open Problems	2
Tribute to Nick Higham	2
From Kernel Methods to Neural Networks: A Unifying Variational Formulation	2
Computing the Sound of the Sea in a Seashell	2
Continuity of Formal Power Series Products in Nonlinear Control Theory	2
Sharp Bounds for Max-sliced Wasserstein Distances	2
Error Analysis for 2D Stochastic Navier–Stokes Equations in Bounded Domains with Dirichlet Data	2
Locally-Verifiable Sufficient Conditions for Exactness of the Hierarchical B-spline Discrete de Rham Complex in $$\mathbb {R}^n$$	2
Kähler Geometry of Framed Quiver Moduli and Machine Learning	2
Covariance’s Loss is Privacy’s Gain: Computationally Efficient, Private and Accurate Synthetic Data	2
Finite Element Systems for Vector Bundles: Elasticity and Curvature	2
Towards a Fluid Computer	2
A New Upper Bound for Sampling Numbers	2
Approximations of Dispersive PDEs in the Presence of Low-Regularity Randomness	2
Conley Index for Multivalued Maps on Finite Topological Spaces	1
The Average Condition Number of Most Tensor Rank Decomposition Problems is Infinite	1
Sum-of-Squares Relaxations for Information Theory and Variational Inference	1
Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity	1
Affine-Invariant Ensemble Transform Methods for Logistic Regression	1
Group-Invariant Max Filtering	1
Extremal Points and Sparse Optimization for Generalized Kantorovich–Rubinstein Norms	1
A Unified Approach to Uniform Signal Recovery From Nonlinear Observations	1
Communication Lower Bounds for Nested Bilinear Algorithms via Rank Expansion of Kronecker Products	1
Numerical Accuracy of Ladder Schemes for Parallel Transport on Manifolds	1
Retraction Maps: A Seed of Geometric Integrators	1
Regularized Stein Variational Gradient Flow	1
Distributed Learning via Filtered Hyperinterpolation on Manifolds	1
Local Space-Preserving Decompositions for the Bubble Transform	1
Approximation of Deterministic Mean Field Games with Control-Affine Dynamics	1
Efficient Random Walks on Riemannian Manifolds	1
The Saddle Point Problem of Polynomials	1
Constrained and Unconstrained Stable Discrete Minimizations for p-Robust Local Reconstructions in Vertex Patches in the de Rham Complex	1
Multi-index Sequential Monte Carlo Ratio Estimators for Bayesian Inverse problems	1
Spectral Graph Matching and Regularized Quadratic Relaxations II	1
Optimal Stable Nonlinear Approximation	1
Potentially Singular Behavior of the 3D Navier–Stokes Equations	1
Representations of the Symmetric Group are Decomposable in Polynomial Time	1
A Theory of the NEPv Approach for Optimization on the Stiefel Manifold	1