Applied and Computational Harmonic Analysis

Article	Citations
On the numerical evaluation of the prolate spheroidal wave functions of order zero	91
Introduction to the Special Issue on Harmonic Analysis and Machine Learning	51
Kadec-type theorems for sampled group orbits	46
On the limits of neural network explainability via descrambling	44
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond	42
Editorial Board	40
Spatiotemporal analysis using Riemannian composition of diffusion operators	40
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic functions	40
Scale dependencies and self-similar models with wavelet scattering spectra	40
Duality for neural networks through Reproducing Kernel Banach Spaces	37
Complete interpolating sequences for the Gaussian shift-invariant space	32
Dilational symmetries of decomposition and coorbit spaces	30
The theory of deep convolutional neural networks and a data approximation problem based on the fractional Fourier transform	25
Biorthogonal Greedy Algorithms in convex optimization	23
Signal reconstruction using determinantal sampling	23
Beurling dimension of spectra for a class of random convolutions on R<	22
Estimates on learning rates for multi-penalty distribution regression	22
Unlimited sampling beyond modulo	21
AP-frames and stationary random processes	21
A note on spike localization for line spectrum estimation	20
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration	19
On the optimal approximation of Sobolev and Besov functions using deep ReLU neural networks	19
Sharp error estimates for target measure diffusion maps with applications to the committor problem	18
Error estimate of the u-series method for molecular dynamics simulations	18
Generalization error guaranteed auto-encoder-based nonlinear model reduction for operator learning	17

Computing the proximal operator of the q-th power of the ℓ1,-norm for group sparsity	17
Editorial Board	16
Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere	15
Finite alphabet phase retrieval	14
Controlled learning of pointwise nonlinearities in neural-network-like architectures	14
A simple approach for quantizing neural networks	13
Eigenmatrix for unstructured sparse recovery	13
Editorial Board	12
Editorial Board	12
n-Best kernel approximation in reproducing kernel Hilbert spaces	12
Spatiospectral localization within the ball – studies on the influence of the spectral shape	12
Adaptive parameter selection for kernel ridge regression	11
Stable parameterization of continuous and piecewise-linear functions	11
A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers	11
Localization of operator-valued frames	11
Regularization of inverse problems by filtered diagonal frame decomposition	11
Gaussian random field approximation via Stein's method with applications to wide random neural networks	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
Divergence-free quasi-interpolation	10
Data-driven optimal shrinkage of singular values under high-dimensional noise with separable covariance structure with application	10
Direct interpolative construction of the discrete Fourier transform as a matrix product operator	10
Theoretical guarantees for low-rank compression of deep neural networks	10
A sufficient condition for mobile sampling in terms of surface density	10
On the intermediate value property of spectra for a class of Moran spectral measures	10
An unbounded operator theory approach to lower frame and Riesz-Fischer sequences	9
Estimation under group actions: Recovering orbits from invariants	9
Non-negative sparse recovery at minimal sampling rate	9
Demystifying Carleson frames	9
Lower bounds on the low-distortion embedding dimension of submanifolds of 8
Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates	8
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents	8
Sparse free deconvolution under unknown noise level via eigenmatrix	8
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization	8
Fundamental component enhancement via adaptive nonlinear activation functions	8
The impact of smoothness of kernels and target functions on unsupervised covariate shift adaptation in RKHS	7
Synthesis-based time-scale transforms for non-stationary signals	7
Constructive subsampling of finite frames with applications in optimal function recovery	7
Optimal (α,d)-multi-completion of d-designs	7
Positive definite multi-kernels for scattered data interpolations	7
Weighted variation spaces and approximation by shallow ReLU networks	7
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space	7
Painless construction of unconditional bases for anisotropic modulation and Triebel-Lizorkin type spaces	7
Algebraic compressed sensing	7
Pattern recovery by SLOPE	7
A tighter generalization error bound for wide GCN based on loss landscape	7
Editorial Board	7
Generalization bounds for sparse random feature expansions	7
Universal approximation property of fully convolutional neural networks with zero padding	6
Editorial Board	6

Frames by orbits of two operators that commute	6
Tikhonov regularization for Gaussian empirical gain maximization in RKHS is consistent	6
A one-bit, comparison-based gradient estimator	6
Assembly and iteration: Transition to linearity of wide neural networks	6
Non-asymptotic bounds for discrete prolate spheroidal wave functions analogous with prolate spheroidal wave function bounds	6
Uniform approximation of common Gaussian process kernels using equispaced Fourier grids	6
The G-invariant graph Laplacian part II: Diffusion maps	6
The springback penalty for robust signal recovery	6
Sparsification of the regularized magnetic Laplacian with multi-type spanning forests	6
Editorial Board	6
Quantum wave packet transforms with compact frequency support: Implementations for wavelets and Gabor atoms	6
A unified approach to synchronization problems over subgroups of the orthogonal group	6
Permutation-invariant representations with applications to graph deep learning	6
Linearized Wasserstein dimensionality reduction with approximation guarantees	6
Geometric scattering on measure spaces	5
Understanding neural networks with reproducing kernel Banach spaces	5
On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures	5
Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs	5
Solving PDEs on unknown manifolds with machine learning	5
Editorial Board	5
Stability of iterated dyadic filter banks	5
Gaussian approximation for the moving averaged modulus wavelet transform and its variants	5
Integral operator approaches for scattered data fitting on spheres	5
Deep microlocal reconstruction for limited-angle tomography	5
ANOVA-boosting for random Fourier features	5
Metric entropy limits on recurrent neural network learning of linear dynamical systems	5
Graph signal interpolation with positive definite graph basis functions	5
Time-frequency analysis on flat tori and Gabor frames in finite dimensions	5
Group projected subspace pursuit for block sparse signal reconstruction: Convergence analysis and applications	5
The beltway problem over orthogonal groups	5
Framelet message passing	5
Generalization analysis of an unfolding network for analysis-based compressed sensing	5
Performance bounds of the intensity-based estimators for noisy phase retrieval	5
Editorial Board	5
Approximating the span of principal components via iterative least-squares	4
Needlets liberated	4
A shape preserving C2 non-linear, non-uniform, subdivision scheme with fourth-order accuracy	4
Analysis of a direct separation method based on adaptive chirplet transform for signals with crossover instantaneous frequencies	4
Time and band limiting for exceptional polynomials	4
A noncommutative approach to the graphon Fourier transform	4
Multiscale Hodge scattering networks for data analysis	4
Construction of pairwise orthogonal Parseval frames generated by filters on LCA groups	4
Double preconditioning for Gabor frame operators: Algebraic, functional analytic and numerical aspects	4
Stable recovery of entangled weights: Towards robust identification of deep neural networks from minimal samples	4
Compressed sensing of low-rank plus sparse matrices	4
Robust sparse recovery with sparse Bernoulli matrices via expanders	4
Rate-optimal sparse approximation of compact break-of-scale embeddings	4
Representation of operators using fusion frames	4
Nonconvex regularization for sparse neural networks	3
Proximal subgradient norm minimization of ISTA and FISTA	3
Gaussian process regression with log-linear scaling for common non-stationary kernels	3
Exponential bases for partitions of intervals	3
Donoho-Logan large sieve principles for the wavelet transform	3
Approximately Dual and Pseudo-Dual Probabilistic Frames	3
Adaptive multipliers for extrapolation in frequency	3
Detecting whether a stochastic process is finitely expressed in a basis	3
Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods	3
Effectiveness of the tail-atomic norm in gridless spectrum estimation	3
Local approximation of operators	3
Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions	3
Editorial Board	3
Gabor frame bound optimizations	3
Parameterized proximal-gradient algorithms for L1/L2 sparse signal recovery	3
Injectivity of Gabor phase retrieval from lattice measurements	3
Scale dilation dynamics in flexible bandwidth needlet constructions	3
Corrigendum to “Nonlinear matrix recovery using optimization on the Grassmann manifold” [Appl. Comput. Harmon. Anal. 62 (2023) 498–542]	3
A constructive approach for computing the proximity operator of the p-th power of the ℓ1 norm	3
Optimal lower Lipschitz bounds for ReLU layers, saturation, and phase retrieval	3
An inverse problem for Dirac systems on p-star-shaped graphs	3
Spline manipulations for empirical mode decomposition (EMD) on bounded intervals and beyond	3
Analysis and algorithms for ℓ-based semi-supervised learning on graphs	3
Editorial Board	3
Riesz transform associated with the fractional Fourier transform and applications in image edge detection	2
A perturbative analysis for noisy spectral estimation	2
Solving PDEs on spheres with physics-informed convolutional neural networks	2
Modewise operators, the tensor restricted isometry property, and low-rank tensor recovery	2
Inverse problems are solvable on real number signal processing hardware	2
The spectral barycentre of a set of graphs with community structure	2
Matrix recovery from permutations	2
Editorial Board	2

Recurrence of optimum for training weight and activation quantized networks	2
Two families of compactly supported Parseval framelets in L2	2
Frame set for shifted sinc-function	2
The universal approximation theorem for complex-valued neural networks	2
Transferability of graph neural networks: An extended graphon approach	2
The metaplectic action on modulation spaces	2
The sparsity of LASSO-type minimizers	2
Gaussian random fields and monogenic images	2
Entropy of compact operators with applications to Landau-Pollak-Slepian theory and Sobolev spaces	2
Random sampling over locally compact Abelian groups and inversion of the Radon transform	2
Filament plots for data visualization	2
Spectral graph wavelet packets frames	2
Gradient descent for deep matrix factorization: Dynamics and implicit bias towards low rank	2
On the existence and estimates of nested spherical designs	2
Conditional expectation using compactification operators	2
Deep nonparametric estimation of intrinsic data structures by chart autoencoders: Generalization error and robustness	2
New results on sparse representations in unions of orthonormal bases	2
Multidimensional unstructured sparse recovery via eigenmatrix	2
The mystery of Carleson frames	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
Robust approach for blind separation of noisy mixtures of independent and dependent sources	2
Two subspace methods for frequency sparse graph signals	2