OOIR: Observatory of International Research

Papers

(The TQCC of Research in the Mathematical Sciences 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 2020-05-01 to 2024-05-01.)

Article	Citations
Overcoming the curse of dimensionality for some Hamilton–Jacobi partial differential equations via neural network architectures	48
Energy stable higher-order linear ETD multi-step methods for gradient flows: application to thin film epitaxy	26
Delay-coordinate maps, coherence, and approximate spectra of evolution operators	14
Modeling of missing dynamical systems: deriving parametric models using a nonparametric framework	12
Free boundary methods and non-scattering phenomena	10
Mean field control problems for vaccine distribution	10
Stability bounds and almost sure convergence of improved particle swarm optimization methods	9
Approximation properties of deep ReLU CNNs	8
Analytical formula for conditional expectations of path-dependent product of polynomial and exponential functions of extended Cox–Ingersoll–Ross process	8
An enriched count of the bitangents to a smooth plane quartic curve	8
Effective forms of the Sato–Tate conjecture	8
Modeling illegal logging in Brazil	7
Kolmogorov width decay and poor approximators in machine learning: shallow neural networks, random feature models and neural tangent kernels	7
Time-periodic measures, random periodic orbits, and the linear response for dissipative non-autonomous stochastic differential equations	7
Explicit transformations of certain Lambert series	6
On vanishing near corners of conductive transmission eigenfunctions	6
Semiclassical parametrix for the Maxwell equation and applications to the electromagnetic transmission eigenvalues	6
Zeros of Jensen polynomials and asymptotics for the Riemann xi function	6
Arithmetic statistics on cubic surfaces	6
Enhanced diffusivity and skewness of a diffusing tracer in the presence of an oscillating wall	6
Appell series over finite fields and Gaussian hypergeometric series	5
Enhanced Koszul properties in Galois cohomology	5
Solving multiscale steady radiative transfer equation using neural networks with uniform stability	5
Rates of convergence for Laplacian semi-supervised learning with low labeling rates	5
Generalized Paley graphs and their complete subgraphs of orders three and four	5

Applications to $${\mathbb {A}}^1$$-enumerative geometry of the $${\mathbb {A}}^1$$-degree	5
New regularity results for Hamilton–Jacobi equations and long time behavior of pathwise (stochastic) viscosity solutions	5
Superimposing theta structure on a generalized modular relation	5
Cohomology of complements of toric arrangements associated with root systems	5
Stability for quantitative photoacoustic tomography revisited	4
Harmonic analysis and statistics of the first Galois cohomology group	4
Generalization error of GAN from the discriminator’s perspective	4
Laplacian smoothing gradient descent	4
Linear algebraic groups with good reduction	4
On the modified transmission eigenvalue problem with an artificial metamaterial background	4
Initial investigations of precipitating quasi-geostrophic turbulence with phase changes	4
Motive of the moduli stack of rational curves on a weighted projective stack	4
Computational graph completion	4
Rees algebras of filtrations of covering polyhedra and integral closure of powers of monomial ideals	4
Multiplicities and mixed multiplicities of arbitrary filtrations	4
Period functions associated to real-analytic modular forms	4
Torsion in differentials and Berger’s conjecture	3
Peacock patterns and resurgence in complex Chern–Simons theory	3
Hilbert series of parallelogram polyominoes	3
The quaternion Fourier and wavelet transforms on spaces of functions and distributions	3
Split representation of adaptively compressed polarizability operator	3
Semiclassical limit of an inverse problem for the Schrödinger equation	3
$${}_{4}F_{3}$$-Gaussian hypergeometric series and traces of Frobenius for elliptic curves	3
Spectral $$\varvec{\zeta }$$-functions and $$\varvec{\zeta }$$-regularized functional determinants for regular Sturm–Liouville operators	3
Integral representations of rank two false theta functions and their modularity properties	3
Asymptotics for the twisted eta-product and applications to sign changes in partitions	3
Uniform approximation rates and metric entropy of shallow neural networks	3
Spectral methods for nonlinear functionals and functional differential equations	3
Effective behavior of cooperative and nonidentical molecular motors	3
Approximation of the inverse scattering Steklov eigenvalues and the inverse spectral problem	3
Trace minmax functions and the radical Laguerre–Pólya class	3
On sets of maximally commuting and anticommuting Pauli operators	3
Axisymmetric solutions of the shallow water equations with bottom topography	2
Fully hyperbolic convolutional neural networks	2
Bitangents to plane quartics via tropical geometry: rationality, $$\mathbb {A}^1$$-enumeration, and real signed count	2
Improving the prediction of complex nonlinear turbulent dynamical systems using nonlinear filter, smoother and backward sampling techniques	2
Explicit transformations for generalized Lambert series associated with the divisor function $$\sigma _{a}^{(N)}(n)$$ and their applications	2
Jacobi forms, Saito-Kurokawa lifts, their Pullbacks and sup-norms on average	2
A $$C^{1}-C^{0}$$ conforming virtual element discretization for the transmission eigenvalue problem	2
Spaces of non-degenerate maps between complex projective spaces	2
Singularity properties of Lorentzian Darboux surfaces in Lorentz–Minkowski spacetime	2
Deep limits of residual neural networks	2
Bayesian inversion for an inverse spectral problem of transmission eigenvalues	2
Uniqueness of conservative solutions for the Hunter–Saxton equation	2
A stochastic closure for two-moment bulk microphysics of warm clouds: part I, derivations	2
Special foliations on $$\mathbb {CP}^2$$ with a unique singular point	2
Divisor-bounded multiplicative functions in short intervals	2
Mocking the u-plane integral	2
On the simplicial volume and the Euler characteristic of (aspherical) manifolds	2
Infinite families of crank functions, Stanton-type conjectures, and unimodality	2

Geodesic flows on real forms of complex semi-simple Lie groups of rigid body type	2
Side effects of learning from low-dimensional data embedded in a Euclidean space	2
Tropical Ehrhart theory and tropical volume	2
Ampleness of Schur powers of cotangent bundles and k-hyperbolicity	2
Asymptotic expansions of Stekloff eigenvalues for perturbations of inhomogeneous media	2
t-SNE, forceful colorings, and mean field limits	2
Powers of graphs & applications to resolutions of powers of monomial ideals	2
Tropical ideals do not realise all Bergman fans	2
Loop space decompositions of $$(2n-2)$$-connected $$(4n-1)$$-dimensional Poincaré Duality complexes	2
Topics on strict closure of rings	2
Modified transmission eigenvalues for inverse scattering in a fluid–solid interaction problem	2
A quaternionic construction of p-adic singular moduli	2
Existence and uniqueness for solutions of mixed stochastic delay differential equations	2
The study of certain optimization problems via variational inequalities	2
An algebraic lifting invariant of Ellenberg, Venkatesh, and Westerland	2
Powers of componentwise linear ideals: the Herzog–Hibi–Ohsugi conjecture and related problems	2