Applied and Computational Harmonic Analysis

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
Computing the proximal operator of the q-th power of the ℓ1,-norm for group sparsity	19
Biorthogonal Greedy Algorithms in convex optimization	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
Editorial Board	14

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
Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere	13
Finite alphabet phase retrieval	13
Eigenmatrix for unstructured sparse recovery	12
Editorial Board	12
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
A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers	11
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
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
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
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
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
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
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
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
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
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
The beltway problem over orthogonal groups	5
Generalization analysis of an unfolding network for analysis-based compressed sensing	5
Gabor frames for functions supported on a semi-axis	5
Editorial Board	5
Group projected subspace pursuit for block sparse signal reconstruction: Convergence analysis and applications	5
The generic crystallographic phase retrieval problem	5
Gaussian approximation for the moving averaged modulus wavelet transform and its variants	5
On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures	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
Geometric scattering on measure spaces	5
Extracting manifold information from point clouds	5
Integral operator approaches for scattered data fitting on spheres	5
Framelet message passing	5
Learning theory of regularized Huber regression	5
Quantum wave packet transforms with compact frequency support: Implementations for wavelets and Gabor atoms	5
Stability of iterated dyadic filter banks	5
Graph signal interpolation with positive definite graph basis functions	5
Time-frequency analysis on flat tori and Gabor frames in finite dimensions	5
Needlets liberated	4
Rate-optimal sparse approximation of compact break-of-scale embeddings	4
Stable recovery of entangled weights: Towards robust identification of deep neural networks from minimal samples	4
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
Compressed sensing of low-rank plus sparse matrices	4
A shape preserving C2 non-linear, non-uniform, subdivision scheme with fourth-order accuracy	4
Representation of operators using fusion frames	4
Multiscale Hodge scattering networks for data analysis	4
Approximating the span of principal components via iterative least-squares	4
Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs	4
A noncommutative approach to the graphon Fourier transform	4
ANOVA-boosting for random Fourier features	4
Time and band limiting for exceptional polynomials	4
Robust sparse recovery with sparse Bernoulli matrices via expanders	4
Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions	3
Donoho-Logan large sieve principles for the wavelet transform	3
Gabor frame bound optimizations	3
Spline manipulations for empirical mode decomposition (EMD) on bounded intervals and beyond	3
Double preconditioning for Gabor frame operators: Algebraic, functional analytic and numerical aspects	3
Editorial Board	3
Gaussian process regression with log-linear scaling for common non-stationary kernels	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
Injectivity of Gabor phase retrieval from lattice measurements	3
Parameterized proximal-gradient algorithms for L1/L2 sparse signal recovery	3
An inverse problem for Dirac systems on p-star-shaped graphs	3
Scale dilation dynamics in flexible bandwidth needlet constructions	3
Detecting whether a stochastic process is finitely expressed in a basis	3
Local approximation of operators	3
Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods	3
Corrigendum to “Nonlinear matrix recovery using optimization on the Grassmann manifold” [Appl. Comput. Harmon. Anal. 62 (2023) 498–542]	3
Approximately dual and pseudo-dual probabilistic frames	3
Analysis and algorithms for ℓ-based semi-supervised learning on graphs	3
Adaptive multipliers for extrapolation in frequency	3
Editorial Board	3
Effectiveness of the tail-atomic norm in gridless spectrum estimation	3
New results on sparse representations in unions of orthonormal bases	2
Robust approach for blind separation of noisy mixtures of independent and dependent sources	2
Modewise operators, the tensor restricted isometry property, and low-rank tensor recovery	2
Gaussian random fields and monogenic images	2
Inverse problems are solvable on real number signal processing hardware	2
The universal approximation theorem for complex-valued neural networks	2

Nonconvex regularization for sparse neural networks	2
Spectral graph wavelet packets frames	2
Matrix recovery from permutations	2
Random sampling over locally compact Abelian groups and inversion of the Radon transform	2
Riesz transform associated with the fractional Fourier transform and applications in image edge detection	2
Transferability of graph neural networks: An extended graphon approach	2
Entropy of compact operators with applications to Landau-Pollak-Slepian theory and Sobolev spaces	2
The mystery of Carleson frames	2
Pursuing the Limit of Chirp Parameter Identifiability: A Computational Approach	2
Multidimensional unstructured sparse recovery via eigenmatrix	2
Deep nonparametric estimation of intrinsic data structures by chart autoencoders: Generalization error and robustness	2
Editorial Board	2
Two subspace methods for frequency sparse graph signals	2
Exponential bases for partitions of intervals	2
Recurrence of optimum for training weight and activation quantized networks	2
Frame set for shifted sinc-function	2
Gradient descent for deep matrix factorization: Dynamics and implicit bias towards low rank	2
A perturbative analysis for noisy spectral estimation	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 sparsity of LASSO-type minimizers	2
The metaplectic action on modulation spaces	2
The spectral barycentre of a set of graphs with community structure	2
Filament plots for data visualization	2
Two families of compactly supported Parseval framelets in L2	2
Proximal subgradient norm minimization of ISTA and FISTA	2
Conditional expectation using compactification operators	2