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 2021-02-01 to 2025-02-01.)

Article	Citations
Adversarial Manifold Estimation	40
Sampling Rates for $$\ell ^1$$-Synthesis	27
Deep Composition of Tensor-Trains Using Squared Inverse Rosenblatt Transports	25
On Numerical Approximations of Fractional and Nonlocal Mean Field Games	24
Convergence Analysis under Consistent Error Bounds	23
Exploiting Sparsity for Semi-Algebraic Set Volume Computation	19
Most Probable Paths for Anisotropic Brownian Motions on Manifolds	17
A Framework for Differential Calculus on Persistence Barcodes	16
Matrix Concentration for Products	14
Algebraic Varieties in Quantum Chemistry	14
Unbiasing Hamiltonian Monte Carlo Algorithms for a General Hamiltonian Function	14
Pseudospectral Shattering, the Sign Function, and Diagonalization in Nearly Matrix Multiplication Time	13
The Universal Equivariance Properties of Exotic Aromatic B-Series	12
A Generalized Conditional Gradient Method for Dynamic Inverse Problems with Optimal Transport Regularization	12
Bad and Good News for Strassen’s Laser Method: Border Rank of $$\mathrm{Perm}_3$$ and Strict Submultiplicativity	11
Discrete Weber Inequalities and Related Maxwell Compactness for Hybrid Spaces over Polyhedral Partitions of Domains with General Topology	11
BGG Sequences with Weak Regularity and Applications	11
Exponential ReLU Neural Network Approximation Rates for Point and Edge Singularities	10
Optimal Polynomial Meshes Exist on any Multivariate Convex Domain	10
On Randomized Trace Estimates for Indefinite Matrices with an Application to Determinants	10
The Topological Correctness of PL Approximations of Isomanifolds	9
Signed Barcodes for Multi-parameter Persistence via Rank Decompositions and Rank-Exact Resolutions	9
A New Approach to the Analysis of Parametric Finite Element Approximations to Mean Curvature Flow	9
Approximating Continuous Functions on Persistence Diagrams Using Template Functions	9
Toward Computational Morse–Floer Homology: Forcing Results for Connecting Orbits by Computing Relative Indices of Critical Points	8

Approximation of Generating Function Barcode for Hamiltonian Diffeomorphisms	8
Subexponential-Time Algorithms for Sparse PCA	8
Overcoming the Curse of Dimensionality in the Numerical Approximation of Parabolic Partial Differential Equations with Gradient-Dependent Nonlinearities	8
Implicitisation and Parameterisation in Polynomial Functors	8
Complexes from Complexes	8
Learning Time-Scales in Two-Layers Neural Networks	7
A Counter-Example to Hausmann’s Conjecture	7
A New Approach to Handle Curved Meshes in the Hybrid High-Order Method	7
The Bubble Transform and the de Rham Complex	7
Computability in Harmonic Analysis	7
Phaseless Sampling on Square-Root Lattices	7
On the Representation and Learning of Monotone Triangular Transport Maps	7
Optimization Over the Boolean Hypercube Via Sums of Nonnegative Circuit Polynomials	7
Principal Components Along Quiver Representations	7
Low-Degree Approximation of Random Polynomials	7
Meshfree Extrapolation with Application to Enhanced Near-Boundary Approximation with Local Lagrange Kernels	6
Stationary Points at Infinity for Analytic Combinatorics	6
Efficient Computation of the Zeros of the Bargmann Transform Under Additive White Noise	6
The Canny–Emiris Conjecture for the Sparse Resultant	6
A New Technique for Preserving Conservation Laws	6
An Accelerated First-Order Method for Non-convex Optimization on Manifolds	6
Cumulant–Cumulant Relations in Free Probability Theory from Magnus’ Expansion	6
The Moving-Frame Method for the Iterated-Integrals Signature: Orthogonal Invariants	6
Potential Singularity of the 3D Euler Equations in the Interior Domain	5
Koszul Complexes and Relative Homological Algebra of Functors Over Posets	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
Learning Interaction Kernels in Stochastic Systems of Interacting Particles from Multiple Trajectories	5
Bias in the Representative Volume Element method: Periodize the Ensemble Instead of Its Realizations	5
Optimal Artificial Boundary Condition for Random Elliptic Media	5
Euclidean Distance Degree and Mixed Volume	5
Orthogonal Polynomials on Planar Cubic Curves	5
High-Order Lohner-Type Algorithm for Rigorous Computation of Poincaré Maps in Systems of Delay Differential Equations with Several Delays	5
Order Conditions for Sampling the Invariant Measure of Ergodic Stochastic Differential Equations on Manifolds	5
Symmetric Bases for Finite Element Exterior Calculus Spaces	5
A Theoretical and Empirical Comparison of Gradient Approximations in Derivative-Free Optimization	4
Correction to: Lie–Poisson Methods for Isospectral Flows	4
Stabilizing Decomposition of Multiparameter Persistence Modules	4
Conormal Spaces and Whitney Stratifications	4
Polynomial and Rational Measure Modifications of Orthogonal Polynomials via Infinite-Dimensional Banded Matrix Factorizations	4
Correction to: Conormal Spaces and Whitney Stratifications	4
An Arbitrary-Order Discrete de Rham Complex on Polyhedral Meshes: Exactness, Poincaré Inequalities, and Consistency	4
Convex Analysis on Hadamard Spaces and Scaling Problems	4
Optimal Convergence Rates for the Spectrum of the Graph Laplacian on Poisson Point Clouds	4
Hybrid Transforms of Constructible Functions	3
Analysis and Convergence of Hermite Subdivision Schemes	3
Distinguishing secant from cactus varieties	3
Sparse Interpolation in Terms of Multivariate Chebyshev Polynomials	3
Optimal Approximation of Unique Continuation	3
Spectral Graph Matching and Regularized Quadratic Relaxations II	3

Covariance’s Loss is Privacy’s Gain: Computationally Efficient, Private and Accurate Synthetic Data	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
Continuity of Formal Power Series Products in Nonlinear Control Theory	3
Computational Complexity of Decomposing a Symmetric Matrix as a Sum of Positive Semidefinite and Diagonal Matrices	3
Stability of 2-Parameter Persistent Homology	3
Primal Dual Methods for Wasserstein Gradient Flows	3
Quasi-optimal Nonconforming Approximation of Elliptic PDEs with Contrasted Coefficients and $$H^{1+{r}}$$, $${r}>0$$, Regularity	3
Continuum Limit of Lipschitz Learning on Graphs	3
Kähler Geometry of Framed Quiver Moduli and Machine Learning	3
On the Sample Complexity of Stabilizing Linear Dynamical Systems from Data	3
Exotic B-Series and S-Series: Algebraic Structures and Order Conditions for Invariant Measure Sampling	3
Improved Resolution Estimate for the Two-Dimensional Super-Resolution and a New Algorithm for Direction of Arrival Estimation with Uniform Rectangular Array	2
Stable Liftings of Polynomial Traces on Tetrahedra	2
Proximal Galerkin: A Structure-Preserving Finite Element Method for Pointwise Bound Constraints	2
Sharp Bounds for Max-sliced Wasserstein Distances	2
Locally-Verifiable Sufficient Conditions for Exactness of the Hierarchical B-spline Discrete de Rham Complex in $$\mathbb {R}^n$$	2
Accuracy Controlled Schemes for the Eigenvalue Problem of the Radiative Transfer Equation	2
Curve Based Approximation of Measures on Manifolds by Discrepancy Minimization	2
Finite Element Systems for Vector Bundles: Elasticity and Curvature	2
Classification of Finite Groups: Recent Developements and Open Problems	2
From Kernel Methods to Neural Networks: A Unifying Variational Formulation	2
Approximations of Dispersive PDEs in the Presence of Low-Regularity Randomness	2
Sum-of-Squares Relaxations for Information Theory and Variational Inference	2
A New Upper Bound for Sampling Numbers	2
Computing the Sound of the Sea in a Seashell	2
Error Analysis for 2D Stochastic Navier–Stokes Equations in Bounded Domains with Dirichlet Data	2
Tribute to Nick Higham	2
Computing the Noncommutative Inner Rank by Means of Operator-Valued Free Probability Theory	2