Applied and Computational Harmonic Analysis

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 2021-05-01 to 2025-05-01.)
ArticleCitations
Introduction to the Special Issue on Harmonic Analysis and Machine Learning62
Kadec-type theorems for sampled group orbits58
On the numerical evaluation of the prolate spheroidal wave functions of order zero51
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic functions43
Scale dependencies and self-similar models with wavelet scattering spectra35
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond35
Editorial Board30
Spatiotemporal analysis using Riemannian composition of diffusion operators30
Editorial Board28
Kernel conjugate gradient methods with random projections28
On a discrete transform of homogeneous decomposition spaces25
Unlimited sampling beyond modulo24
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration23
A stochastic sparse representation: n-best approximation to random signals and computation23
Generalization error guaranteed auto-encoder-based nonlinear model reduction for operator learning23
Reproducing kernel Hilbert space compactification of unitary evolution groups22
Beurling dimension of spectra for a class of random convolutions on R<21
AP-frames and stationary random processes20
Estimates on learning rates for multi-penalty distribution regression19
Geometric component analysis and its applications to data analysis18
A note on spike localization for line spectrum estimation18
Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators17
Dilational symmetries of decomposition and coorbit spaces17
Complete interpolating sequences for the Gaussian shift-invariant space17
Irregular Gabor frames of Cauchy kernels16
Biorthogonal Greedy Algorithms in convex optimization16
Finite alphabet phase retrieval16
On the evaluation of the eigendecomposition of the Airy integral operator16
A simple approach for quantizing neural networks16
Editorial Board16
Eigenmatrix for unstructured sparse recovery15
Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere15
Ranking recovery from limited pairwise comparisons using low-rank matrix completion14
Functional penalised basis pursuit on spheres14
Random sampling and reconstruction of concentrated signals in a reproducing kernel space14
The Nyquist sampling rate for spiraling curves14
On the number of faces and radii of cells induced by Gaussian spherical tessellations13
Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling13
n-Best kernel approximation in reproducing kernel Hilbert spaces13
On the relation between Fourier and Walsh–Rademacher spectra for random fields12
Adaptive parameter selection for kernel ridge regression12
Stable parameterization of continuous and piecewise-linear functions12
A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers12
Gaussian random field approximation via Stein's method with applications to wide random neural networks12
On the intermediate value property of spectra for a class of Moran spectral measures11
Regularization of inverse problems by filtered diagonal frame decomposition11
Data-driven optimal shrinkage of singular values under high-dimensional noise with separable covariance structure with application10
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents10
Frames of translates for model sets9
Divergence-free quasi-interpolation9
An unbounded operator theory approach to lower frame and Riesz-Fischer sequences9
A sufficient condition for mobile sampling in terms of surface density9
Estimation under group actions: Recovering orbits from invariants9
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization9
Phase retrieval for sub-Gaussian measurements8
Spectral analysis of weighted Laplacians arising in data clustering8
Synthesis-based time-scale transforms for non-stationary signals8
Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates8
Lower bounds on the low-distortion embedding dimension of submanifolds of 8
Editorial Board8
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space8
Weighted variation spaces and approximation by shallow ReLU networks8
Constructive subsampling of finite frames with applications in optimal function recovery7
Graph Fourier transform based on ℓ1 norm variation minimization7
Editorial Board7
Positive definite multi-kernels for scattered data interpolations7
Fundamental component enhancement via adaptive nonlinear activation functions7
The springback penalty for robust signal recovery7
Tikhonov regularization for Gaussian empirical gain maximization in RKHS is consistent6
Spectral convergence of graph Laplacian and heat kernel reconstruction in L∞ from random samples6
Non-asymptotic bounds for discrete prolate spheroidal wave functions analogous with prolate spheroidal wave function bounds6
Frames by orbits of two operators that commute6
Algebraic compressed sensing6
Spectrality of generalized Sierpinski-type self-affine measures6
A one-bit, comparison-based gradient estimator6
Maximum entropy models from phase harmonic covariances6
A unified approach to synchronization problems over subgroups of the orthogonal group6
Generalization bounds for sparse random feature expansions6
Optimal (α,d)-multi-completion of d-designs6
Orthogonal polynomials, biorthogonal polynomials and spline functions6
Sparse signal recovery from phaseless measurements via hard thresholding pursuit6
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