OOIR: Observatory of International Research

Papers

(The TQCC of Applied and Computational Harmonic Analysis is 6. 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 2021-09-01 to 2025-09-01.)

Article	Citations
Introduction to the Special Issue on Harmonic Analysis and Machine Learning	73
Kadec-type theorems for sampled group orbits	53
On the numerical evaluation of the prolate spheroidal wave functions of order zero	46
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic functions	38
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond	36
Spatiotemporal analysis using Riemannian composition of diffusion operators	35
Scale dependencies and self-similar models with wavelet scattering spectra	34
Editorial Board	33
Duality for neural networks through Reproducing Kernel Banach Spaces	32
Kernel conjugate gradient methods with random projections	32
On a discrete transform of homogeneous decomposition spaces	29
A note on spike localization for line spectrum estimation	29
Biorthogonal Greedy Algorithms in convex optimization	28
AP-frames and stationary random processes	26
Estimates on learning rates for multi-penalty distribution regression	24
Complete interpolating sequences for the Gaussian shift-invariant space	23
On the evaluation of the eigendecomposition of the Airy integral operator	21
Dilational symmetries of decomposition and coorbit spaces	21
Generalization error guaranteed auto-encoder-based nonlinear model reduction for operator learning	20
Error estimate of the u-series method for molecular dynamics simulations	20
A stochastic sparse representation: n-best approximation to random signals and computation	20
Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators	19
Reproducing kernel Hilbert space compactification of unitary evolution groups	19
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration	19
Beurling dimension of spectra for a class of random convolutions on R<	19

Unlimited sampling beyond modulo	17
Editorial Board	16
Geometric component analysis and its applications to data analysis	16
Irregular Gabor frames of Cauchy kernels	16
Finite alphabet phase retrieval	15
Controlled learning of pointwise nonlinearities in neural-network-like architectures	15
Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere	14
Eigenmatrix for unstructured sparse recovery	14
A simple approach for quantizing neural networks	14
Random sampling and reconstruction of concentrated signals in a reproducing kernel space	14
On the number of faces and radii of cells induced by Gaussian spherical tessellations	13
Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling	12
Editorial Board	12
Gaussian random field approximation via Stein's method with applications to wide random neural networks	12
A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers	12
Ranking recovery from limited pairwise comparisons using low-rank matrix completion	11
n-Best kernel approximation in reproducing kernel Hilbert spaces	11
On the intermediate value property of spectra for a class of Moran spectral measures	11
Adaptive parameter selection for kernel ridge regression	11
On the relation between Fourier and Walsh–Rademacher spectra for random fields	11
An efficient spatial discretization of spans of multivariate Chebyshev polynomials	10
Frames of translates for model sets	10
Regularization of inverse problems by filtered diagonal frame decomposition	10
Stable parameterization of continuous and piecewise-linear functions	10
Data-driven optimal shrinkage of singular values under high-dimensional noise with separable covariance structure with application	10
An unbounded operator theory approach to lower frame and Riesz-Fischer sequences	9
Divergence-free quasi-interpolation	9
A sufficient condition for mobile sampling in terms of surface density	9
Estimation under group actions: Recovering orbits from invariants	8
Weighted variation spaces and approximation by shallow ReLU networks	8
Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates	8
A tighter generalization error bound for wide GCN based on loss landscape	8
Synthesis-based time-scale transforms for non-stationary signals	8
Editorial Board	8
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space	8
Constructive subsampling of finite frames with applications in optimal function recovery	8
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents	8
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization	8
Spectral analysis of weighted Laplacians arising in data clustering	8
Fundamental component enhancement via adaptive nonlinear activation functions	8
Tikhonov regularization for Gaussian empirical gain maximization in RKHS is consistent	7
Optimal (α,d)-multi-completion of d-designs	7
The springback penalty for robust signal recovery	7
A unified approach to synchronization problems over subgroups of the orthogonal group	7
Editorial Board	7
Algebraic compressed sensing	7
Spectrality of generalized Sierpinski-type self-affine measures	7
Generalization bounds for sparse random feature expansions	7
Positive definite multi-kernels for scattered data interpolations	7
A one-bit, comparison-based gradient estimator	7

Spectral convergence of graph Laplacian and heat kernel reconstruction in L∞ from random samples	7
Non-asymptotic bounds for discrete prolate spheroidal wave functions analogous with prolate spheroidal wave function bounds	7
Lower bounds on the low-distortion embedding dimension of submanifolds of 7
Linearized Wasserstein dimensionality reduction with approximation guarantees	6
Editorial Board	6
Group projected subspace pursuit for block sparse signal reconstruction: Convergence analysis and applications	6
Metric entropy limits on recurrent neural network learning of linear dynamical systems	6
Frames by orbits of two operators that commute	6
Sparse signal recovery from phaseless measurements via hard thresholding pursuit	6
Performance bounds of the intensity-based estimators for noisy phase retrieval	6
Time-frequency analysis on flat tori and Gabor frames in finite dimensions	6
Solving PDEs on unknown manifolds with machine learning	6
The G-invariant graph Laplacian part II: Diffusion maps	6
Sparsification of the regularized magnetic Laplacian with multi-type spanning forests	6
Editorial Board	6
Uniform approximation of common Gaussian process kernels using equispaced Fourier grids	6
On a regularization of unsupervised domain adaptation in RKHS	6