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 2022-08-01 to 2026-08-01.)

Article	Citations
On the numerical evaluation of the prolate spheroidal wave functions of order zero	53
On the limits of neural network explainability via descrambling	51
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond	47
Spatiotemporal analysis using Riemannian composition of diffusion operators	44
Kadec-type theorems for sampled group orbits	42
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic functions	41
Scale dependencies and self-similar models with wavelet scattering spectra	33
Editorial Board	31
Duality for neural networks through Reproducing Kernel Banach Spaces	28
Generalization error guaranteed auto-encoder-based nonlinear model reduction for operator learning	26
Complete interpolating sequences for the Gaussian shift-invariant space	25
Dilational symmetries of decomposition and coorbit spaces	24
The theory of deep convolutional neural networks and a data approximation problem based on the fractional Fourier transform	24
Estimates on learning rates for multi-penalty distribution regression	23
Beurling dimension of spectra for a class of random convolutions on R<	22
A note on spike localization for line spectrum estimation	21
On the optimal approximation of Sobolev and Besov functions using deep ReLU neural networks	20
AP-frames and stationary random processes	20
Biorthogonal Greedy Algorithms in convex optimization	19
Computing the proximal operator of the q-th power of the ℓ1,-norm for group sparsity	19
Signal reconstruction using determinantal sampling	18
Error estimate of the u-series method for molecular dynamics simulations	16
Sharp error estimates for target measure diffusion maps with applications to the committor problem	15
Unlimited sampling beyond modulo	15
Spatiospectral localization within the ball – studies on the influence of the spectral shape	14

Controlled learning of pointwise nonlinearities in neural-network-like architectures	14
Editorial Board	14
Finite alphabet phase retrieval	13
Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere	13
Limit Properties at Critical Indices of Linear Canonical Riesz Potentials and Their Applications to Security of Multi-Image Encryption	12
Localization of operator-valued frames	12
A simple approach for quantizing neural networks	12
Editorial Board	12
Eigenmatrix for unstructured sparse recovery	12
Editorial Board	12
Gaussian random field approximation via Stein's method with applications to wide random neural networks	11
n-Best kernel approximation in reproducing kernel Hilbert spaces	11
Stable parameterization of continuous and piecewise-linear functions	11
Adaptive parameter selection for kernel ridge regression	11
On the relation between Fourier and Walsh–Rademacher spectra for random fields	11
A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers	11
Theoretical guarantees for low-rank compression of deep neural networks	10
Data-driven optimal shrinkage of singular values under high-dimensional noise with separable covariance structure with application	10
An efficient spatial discretization of spans of multivariate Chebyshev polynomials	10
Regularization of inverse problems by filtered diagonal frame decomposition	10
Demystifying Carleson frames	9
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents	9
Divergence-free quasi-interpolation	9
An unbounded operator theory approach to lower frame and Riesz-Fischer sequences	9
On the intermediate value property of spectra for a class of Moran spectral measures	9
Direct interpolative construction of the discrete Fourier transform as a matrix product operator	9
A sufficient condition for mobile sampling in terms of surface density	9
Non-negative sparse recovery at minimal sampling rate	8
Power spectrum signatures of graphs	8
Lower bounds on the low-distortion embedding dimension of submanifolds of 8
Fundamental component enhancement via adaptive nonlinear activation functions	8
Estimation under group actions: Recovering orbits from invariants	8
Editorial Board	8
Synthesis-based time-scale transforms for non-stationary signals	8
Unitary invariants of the finite Heisenberg group	8
Sparse free deconvolution under unknown noise level via eigenmatrix	8
Constructive subsampling of finite frames with applications in optimal function recovery	8
Pattern recovery by SLOPE	7
STFT phase retrieval with two window functions	7
Permutation-invariant representations with applications to graph deep learning	7
A one-bit, comparison-based gradient estimator	7
The impact of smoothness of kernels and target functions on unsupervised covariate shift adaptation in RKHS	7
Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates	7
Weighted variation spaces and approximation by shallow ReLU networks	7
Editorial Board	7
Tikhonov regularization for Gaussian empirical gain maximization in RKHS is consistent	7
A tighter generalization error bound for wide GCN based on loss landscape	7
Editorial Board	7
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space	7
Optimal (α,d)-multi-completion of d-designs	7

Painless construction of unconditional bases for anisotropic modulation and Triebel-Lizorkin type spaces	7
Frames by orbits of two operators that commute	6
Universal approximation property of fully convolutional neural networks with zero padding	6
Sparsification of the regularized magnetic Laplacian with multi-type spanning forests	6
A unified approach to synchronization problems over subgroups of the orthogonal group	6
Linearized Wasserstein dimensionality reduction with approximation guarantees	6
Assembly and iteration: Transition to linearity of wide neural networks	6
Performance bounds of the intensity-based estimators for noisy phase retrieval	6
Algebraic compressed sensing	6
The springback penalty for robust signal recovery	6
Non-asymptotic bounds for discrete prolate spheroidal wave functions analogous with prolate spheroidal wave function bounds	6
Editorial Board	6
Editorial Board	6
Positive definite multi-kernels for scattered data interpolations	6
Generalization bounds for sparse random feature expansions	6
The G-invariant graph Laplacian part II: Diffusion maps	6
Solving PDEs on unknown manifolds with machine learning	6