Applied and Computational Harmonic Analysis

Article	Citations
On the limits of neural network explainability via descrambling	80
On the numerical evaluation of the prolate spheroidal wave functions of order zero	47
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic functions	43
Spatiotemporal analysis using Riemannian composition of diffusion operators	41
Introduction to the Special Issue on Harmonic Analysis and Machine Learning	39
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond	37
Kadec-type theorems for sampled group orbits	35
Scale dependencies and self-similar models with wavelet scattering spectra	34
Duality for neural networks through Reproducing Kernel Banach Spaces	33
Editorial Board	31
Unlimited sampling beyond modulo	30
Biorthogonal Greedy Algorithms in convex optimization	26
Dilational symmetries of decomposition and coorbit spaces	22
Estimates on learning rates for multi-penalty distribution regression	22
A note on spike localization for line spectrum estimation	21
Generalization error guaranteed auto-encoder-based nonlinear model reduction for operator learning	21
On the evaluation of the eigendecomposition of the Airy integral operator	21
Computing the proximal operator of the q-th power of the ℓ1,-norm for group sparsity	20
Beurling dimension of spectra for a class of random convolutions on R<	19
Error estimate of the u-series method for molecular dynamics simulations	19
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration	18
Sharp error estimates for target measure diffusion maps with applications to the committor problem	17
AP-frames and stationary random processes	17
Editorial Board	16
Complete interpolating sequences for the Gaussian shift-invariant space	16

Controlled learning of pointwise nonlinearities in neural-network-like architectures	16
On the optimal approximation of Sobolev and Besov functions using deep ReLU neural networks	16
Irregular Gabor frames of Cauchy kernels	14
Finite alphabet phase retrieval	14
Eigenmatrix for unstructured sparse recovery	14
A simple approach for quantizing neural networks	13
Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere	13
n-Best kernel approximation in reproducing kernel Hilbert spaces	13
Editorial Board	13
Adaptive parameter selection for kernel ridge regression	12
Editorial Board	12
Gaussian random field approximation via Stein's method with applications to wide random neural networks	12
On the number of faces and radii of cells induced by Gaussian spherical tessellations	12
A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers	12
An efficient spatial discretization of spans of multivariate Chebyshev polynomials	11
Data-driven optimal shrinkage of singular values under high-dimensional noise with separable covariance structure with application	11
Stable parameterization of continuous and piecewise-linear functions	11
On the relation between Fourier and Walsh–Rademacher spectra for random fields	11
Frames of translates for model sets	10
Regularization of inverse problems by filtered diagonal frame decomposition	10
An unbounded operator theory approach to lower frame and Riesz-Fischer sequences	10
On the intermediate value property of spectra for a class of Moran spectral measures	10
Divergence-free quasi-interpolation	9
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents	9
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization	9
A sufficient condition for mobile sampling in terms of surface density	9
Lower bounds on the low-distortion embedding dimension of submanifolds of 9
Estimation under group actions: Recovering orbits from invariants	9
Demystifying Carleson frames	9
Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates	8
Sparse free deconvolution under unknown noise level via eigenmatrix	8
Weighted variation spaces and approximation by shallow ReLU networks	8
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space	8
A tighter generalization error bound for wide GCN based on loss landscape	8
Fundamental component enhancement via adaptive nonlinear activation functions	8
Synthesis-based time-scale transforms for non-stationary signals	8
Constructive subsampling of finite frames with applications in optimal function recovery	7
Tikhonov regularization for Gaussian empirical gain maximization in RKHS is consistent	7
A one-bit, comparison-based gradient estimator	7
Positive definite multi-kernels for scattered data interpolations	7
Spectral analysis of weighted Laplacians arising in data clustering	7
Editorial Board	7
Optimal (α,d)-multi-completion of d-designs	7
Permutation-invariant representations with applications to graph deep learning	7
Pattern recovery by SLOPE	7
Editorial Board	7
The springback penalty for robust signal recovery	7
A unified approach to synchronization problems over subgroups of the orthogonal group	7
Algebraic compressed sensing	7
Linearized Wasserstein dimensionality reduction with approximation guarantees	6

Non-asymptotic bounds for discrete prolate spheroidal wave functions analogous with prolate spheroidal wave function bounds	6
Editorial Board	6
Editorial Board	6
The G-invariant graph Laplacian part II: Diffusion maps	6
Generalization bounds for sparse random feature expansions	6
Performance bounds of the intensity-based estimators for noisy phase retrieval	6
Sparse signal recovery from phaseless measurements via hard thresholding pursuit	6
Sparsification of the regularized magnetic Laplacian with multi-type spanning forests	6
Frames by orbits of two operators that commute	6
Metric entropy limits on recurrent neural network learning of linear dynamical systems	6
On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures	5
Geometric scattering on measure spaces	5
Time-frequency analysis on flat tori and Gabor frames in finite dimensions	5
Stability of iterated dyadic filter banks	5
Generalization analysis of an unfolding network for analysis-based compressed sensing	5
Needlets liberated	5
Understanding neural networks with reproducing kernel Banach spaces	5
Uniform approximation of common Gaussian process kernels using equispaced Fourier grids	5
Editorial Board	5
Graph signal interpolation with positive definite graph basis functions	5
Solving PDEs on unknown manifolds with machine learning	5
Framelet message passing	5
The beltway problem over orthogonal groups	5
Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs	5
On a regularization of unsupervised domain adaptation in RKHS	5
Editorial Board	5
Group projected subspace pursuit for block sparse signal reconstruction: Convergence analysis and applications	5
Gaussian approximation for the moving averaged modulus wavelet transform and its variants	5
ANOVA-boosting for random Fourier features	5
Deep microlocal reconstruction for limited-angle tomography	5
Construction of pairwise orthogonal Parseval frames generated by filters on LCA groups	4
Analysis of a direct separation method based on adaptive chirplet transform for signals with crossover instantaneous frequencies	4
Stable recovery of entangled weights: Towards robust identification of deep neural networks from minimal samples	4
A shape preserving C2 non-linear, non-uniform, subdivision scheme with fourth-order accuracy	4
Spline manipulations for empirical mode decomposition (EMD) on bounded intervals and beyond	4
Error analysis for denoising smooth modulo signals on a graph	4
Representation of operators using fusion frames	4
A noncommutative approach to the graphon Fourier transform	4
Rate-optimal sparse approximation of compact break-of-scale embeddings	4
Adaptive multipliers for extrapolation in frequency	4
Compressed sensing of low-rank plus sparse matrices	4
Approximating the span of principal components via iterative least-squares	4
Robust sparse recovery with sparse Bernoulli matrices via expanders	4
Time and band limiting for exceptional polynomials	4
Analysis and algorithms for ℓ-based semi-supervised learning on graphs	4
Gabor frame bound optimizations	4
Double preconditioning for Gabor frame operators: Algebraic, functional analytic and numerical aspects	4
Editorial Board	3
Optimal lower Lipschitz bounds for ReLU layers, saturation, and phase retrieval	3
Donoho-Logan large sieve principles for the wavelet transform	3
Twisted B-splines in the complex plane	3
Editorial Board	3
Exponential bases for partitions of intervals	3
Compressibility analysis of asymptotically mean stationary processes	3
A constructive approach for computing the proximity operator of the p-th power of the ℓ1 norm	3
Spectral graph wavelet packets frames	3
Corrigendum to “Nonlinear matrix recovery using optimization on the Grassmann manifold” [Appl. Comput. Harmon. Anal. 62 (2023) 498–542]	3
Localized Fourier analysis for graph signal processing	3
Signal recovery from a few linear measurements of its high-order spectra	3
Editorial Board	3
Nonconvex regularization for sparse neural networks	3
Editorial Board	3
Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions	3
Gaussian process regression with log-linear scaling for common non-stationary kernels	3
Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods	3
An inverse problem for Dirac systems on p-star-shaped graphs	3
Detecting whether a stochastic process is finitely expressed in a basis	3
Injectivity of Gabor phase retrieval from lattice measurements	3
Effectiveness of the tail-atomic norm in gridless spectrum estimation	3
Filament plots for data visualization	3
Two families of compactly supported Parseval framelets in L2	3
Recurrence of optimum for training weight and activation quantized networks	3
Local approximation of operators	3
Transferability of graph neural networks: An extended graphon approach	2
The mystery of Carleson frames	2
Inverse problems are solvable on real number signal processing hardware	2
Riesz transform associated with the fractional Fourier transform and applications in image edge detection	2
A multiscale environment for learning by diffusion	2
Corrigendum to “A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond” [Appl. Comput. Harmon. Anal. 63 (2023) 1–19	2
The spectral barycentre of a set of graphs with community structure	2

Matrix recovery from permutations	2
On the existence and estimates of nested spherical designs	2
Editorial Board	2
Phase function methods for second order linear ordinary differential equations with turning points	2
The metaplectic action on modulation spaces	2
A proximal algorithm with backtracked extrapolation for a class of structured fractional programming	2
A perturbative analysis for noisy spectral estimation	2
Gradient descent for deep matrix factorization: Dynamics and implicit bias towards low rank	2
Random sampling over locally compact Abelian groups and inversion of the Radon transform	2
Frame set for shifted sinc-function	2
Entropy of compact operators with applications to Landau-Pollak-Slepian theory and Sobolev spaces	2
Modewise operators, the tensor restricted isometry property, and low-rank tensor recovery	2
Eigen-convergence of Gaussian kernelized graph Laplacian by manifold heat interpolation	2
New results on sparse representations in unions of orthonormal bases	2
Deep nonparametric estimation of intrinsic data structures by chart autoencoders: Generalization error and robustness	2
Gaussian random fields and monogenic images	2
The universal approximation theorem for complex-valued neural networks	2
Conditional expectation using compactification operators	2
Two subspace methods for frequency sparse graph signals	2
Robust approach for blind separation of noisy mixtures of independent and dependent sources	2
Multidimensional unstructured sparse recovery via eigenmatrix	2
High-order approximation rates for shallow neural networks with cosine and ReLU activation functions	2
Loss landscapes and optimization in over-parameterized non-linear systems and neural networks	2
The sparsity of LASSO-type minimizers	2