Applied and Computational Harmonic Analysis

Article	Citations
On the numerical evaluation of the prolate spheroidal wave functions of order zero	92
Introduction to the Special Issue on Harmonic Analysis and Machine Learning	51
On the limits of neural network explainability via descrambling	48
Spatiotemporal analysis using Riemannian composition of diffusion operators	42
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond	42
Scale dependencies and self-similar models with wavelet scattering spectra	42
Kadec-type theorems for sampled group orbits	41
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic functions	37
Duality for neural networks through Reproducing Kernel Banach Spaces	32
Editorial Board	30
Complete interpolating sequences for the Gaussian shift-invariant space	25
Dilational symmetries of decomposition and coorbit spaces	25
The theory of deep convolutional neural networks and a data approximation problem based on the fractional Fourier transform	23
Sharp error estimates for target measure diffusion maps with applications to the committor problem	23
Signal reconstruction using determinantal sampling	23
Estimates on learning rates for multi-penalty distribution regression	21
Beurling dimension of spectra for a class of random convolutions on R<	21
A note on spike localization for line spectrum estimation	20
Generalization error guaranteed auto-encoder-based nonlinear model reduction for operator learning	19
Unlimited sampling beyond modulo	19
Error estimate of the u-series method for molecular dynamics simulations	18
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration	18
On the optimal approximation of Sobolev and Besov functions using deep ReLU neural networks	17
AP-frames and stationary random processes	17
Computing the proximal operator of the q-th power of the ℓ1,-norm for group sparsity	16

Editorial Board	14
Biorthogonal Greedy Algorithms in convex optimization	14
A simple approach for quantizing neural networks	13
Finite alphabet phase retrieval	13
Eigenmatrix for unstructured sparse recovery	13
Controlled learning of pointwise nonlinearities in neural-network-like architectures	13
Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere	12
Spatiospectral localization within the ball – studies on the influence of the spectral shape	12
Editorial Board	12
Localization of operator-valued frames	11
Gaussian random field approximation via Stein's method with applications to wide random neural networks	11
A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers	11
n-Best kernel approximation in reproducing kernel Hilbert spaces	11
Adaptive parameter selection for kernel ridge regression	11
Editorial Board	11
An efficient spatial discretization of spans of multivariate Chebyshev polynomials	10
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
On the intermediate value property of spectra for a class of Moran spectral measures	10
Stable parameterization of continuous and piecewise-linear functions	10
Regularization of inverse problems by filtered diagonal frame decomposition	10
On the relation between Fourier and Walsh–Rademacher spectra for random fields	10
Demystifying Carleson frames	9
An unbounded operator theory approach to lower frame and Riesz-Fischer sequences	9
Non-negative sparse recovery at minimal sampling rate	9
Divergence-free quasi-interpolation	9
A sufficient condition for mobile sampling in terms of surface density	8
Lower bounds on the low-distortion embedding dimension of submanifolds of 8
Direct interpolative construction of the discrete Fourier transform as a matrix product operator	8
Sparse free deconvolution under unknown noise level via eigenmatrix	8
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents	8
Estimation under group actions: Recovering orbits from invariants	8
Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates	8
Pattern recovery by SLOPE	7
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space	7
Editorial Board	7
A one-bit, comparison-based gradient estimator	7
Algebraic compressed sensing	7
Generalization bounds for sparse random feature expansions	7
Synthesis-based time-scale transforms for non-stationary signals	7
Fundamental component enhancement via adaptive nonlinear activation functions	7
Editorial Board	7
Painless construction of unconditional bases for anisotropic modulation and Triebel-Lizorkin type spaces	7
A unified approach to synchronization problems over subgroups of the orthogonal group	7
Optimal (α,d)-multi-completion of d-designs	7
Weighted variation spaces and approximation by shallow ReLU networks	7
A tighter generalization error bound for wide GCN based on loss landscape	7
Constructive subsampling of finite frames with applications in optimal function recovery	7
The impact of smoothness of kernels and target functions on unsupervised covariate shift adaptation in RKHS	7
Positive definite multi-kernels for scattered data interpolations	7

The springback penalty for robust signal recovery	7
Tikhonov regularization for Gaussian empirical gain maximization in RKHS is consistent	6
Non-asymptotic bounds for discrete prolate spheroidal wave functions analogous with prolate spheroidal wave function bounds	6
The G-invariant graph Laplacian part II: Diffusion maps	6
Editorial Board	6
Metric entropy limits on recurrent neural network learning of linear dynamical systems	6
Permutation-invariant representations with applications to graph deep learning	6
Assembly and iteration: Transition to linearity of wide neural networks	6
Editorial Board	6
Uniform approximation of common Gaussian process kernels using equispaced Fourier grids	6
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
Linearized Wasserstein dimensionality reduction with approximation guarantees	6
Quantum wave packet transforms with compact frequency support: Implementations for wavelets and Gabor atoms	6
The beltway problem over orthogonal groups	5
Deep microlocal reconstruction for limited-angle tomography	5
Editorial Board	5
Stability of iterated dyadic filter banks	5
Geometric scattering on measure spaces	5
Generalization analysis of an unfolding network for analysis-based compressed sensing	5
Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs	5
The generic crystallographic phase retrieval problem	5
Solving PDEs on unknown manifolds with machine learning	5
Graph signal interpolation with positive definite graph basis functions	5
Time-frequency analysis on flat tori and Gabor frames in finite dimensions	5
Framelet message passing	5
Integral operator approaches for scattered data fitting on spheres	5
On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures	5
Performance bounds of the intensity-based estimators for noisy phase retrieval	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
Understanding neural networks with reproducing kernel Banach spaces	4
Representation of operators using fusion frames	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
ANOVA-boosting for random Fourier features	4
Needlets liberated	4
A noncommutative approach to the graphon Fourier transform	4
Time and band limiting for exceptional polynomials	4
Approximating the span of principal components via iterative least-squares	4
Rate-optimal sparse approximation of compact break-of-scale embeddings	4
A shape preserving C2 non-linear, non-uniform, subdivision scheme with fourth-order accuracy	4
Robust sparse recovery with sparse Bernoulli matrices via expanders	4
Construction of pairwise orthogonal Parseval frames generated by filters on LCA groups	4
Compressed sensing of low-rank plus sparse matrices	4
Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions	3
Corrigendum to “Nonlinear matrix recovery using optimization on the Grassmann manifold” [Appl. Comput. Harmon. Anal. 62 (2023) 498–542]	3
Donoho-Logan large sieve principles for the wavelet transform	3
Injectivity of Gabor phase retrieval from lattice measurements	3
Spline manipulations for empirical mode decomposition (EMD) on bounded intervals and beyond	3
Adaptive multipliers for extrapolation in frequency	3
Editorial Board	3
Nonconvex regularization for sparse neural networks	3
Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods	3
Scale dilation dynamics in flexible bandwidth needlet constructions	3
Parameterized proximal-gradient algorithms for L1/L2 sparse signal recovery	3
Gabor frame bound optimizations	3
Double preconditioning for Gabor frame operators: Algebraic, functional analytic and numerical aspects	3
Editorial Board	3
An inverse problem for Dirac systems on p-star-shaped graphs	3
Exponential bases for partitions of intervals	3
Optimal lower Lipschitz bounds for ReLU layers, saturation, and phase retrieval	3
Approximately dual and pseudo-dual probabilistic frames	3
Analysis and algorithms for ℓ-based semi-supervised learning on graphs	3
Detecting whether a stochastic process is finitely expressed in a basis	3
Multiscale Hodge scattering networks for data analysis	3
Spectral graph wavelet packets frames	3
On the existence and estimates of nested spherical designs	2
The mystery of Carleson frames	2
The metaplectic action on modulation spaces	2
The sparsity of LASSO-type minimizers	2
The universal approximation theorem for complex-valued neural networks	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
Filament plots for data visualization	2
Two families of compactly supported Parseval framelets in L2	2
Effectiveness of the tail-atomic norm in gridless spectrum estimation	2
Two subspace methods for frequency sparse graph signals	2
Entropy of compact operators with applications to Landau-Pollak-Slepian theory and Sobolev spaces	2

Riesz transform associated with the fractional Fourier transform and applications in image edge detection	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
Solving PDEs on spheres with physics-informed convolutional neural networks	2
Multidimensional unstructured sparse recovery via eigenmatrix	2
A perturbative analysis for noisy spectral estimation	2
Editorial Board	2
Recurrence of optimum for training weight and activation quantized networks	2
Proximal subgradient norm minimization of ISTA and FISTA	2
Gaussian process regression with log-linear scaling for common non-stationary kernels	2
Robust approach for blind separation of noisy mixtures of independent and dependent sources	2
Gradient descent for deep matrix factorization: Dynamics and implicit bias towards low rank	2
Phase function methods for second order linear ordinary differential equations with turning points	2
Gaussian random fields and monogenic images	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
Transferability of graph neural networks: An extended graphon approach	2
Random sampling over locally compact Abelian groups and inversion of the Radon transform	2
Local approximation of operators	2
A constructive approach for computing the proximity operator of the p-th power of the ℓ1 norm	2
Matrix recovery from permutations	2
Frame set for shifted sinc-function	2
Conditional expectation using compactification operators	2