Applied and Computational Harmonic Analysis

Article	Citations
Scale dependencies and self-similar models with wavelet scattering spectra	77
On the limits of neural network explainability via descrambling	55
Kadec-type theorems for sampled group orbits	41
Spatiotemporal analysis using Riemannian composition of diffusion operators	39
Introduction to the Special Issue on Harmonic Analysis and Machine Learning	38
Convergence of sparse grid Gaussian convolution approximation for multi-dimensional periodic functions	35
On the numerical evaluation of the prolate spheroidal wave functions of order zero	35
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond	33
Duality for neural networks through Reproducing Kernel Banach Spaces	30
Beurling dimension of spectra for a class of random convolutions on R<	29
Editorial Board	29
Kernel conjugate gradient methods with random projections	29
Sharp error estimates for target measure diffusion maps with applications to the committor problem	28
On the optimal approximation of Sobolev and Besov functions using deep ReLU neural networks	24
Computing the proximal operator of the q-th power of the ℓ1,-norm for group sparsity	23
Dilational symmetries of decomposition and coorbit spaces	21
Error estimate of the u-series method for molecular dynamics simulations	21
Unlimited sampling beyond modulo	21
AP-frames and stationary random processes	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	20
Biorthogonal Greedy Algorithms in convex optimization	19
Complete interpolating sequences for the Gaussian shift-invariant space	19
Estimates on learning rates for multi-penalty distribution regression	17
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration	17

A note on spike localization for line spectrum estimation	17
On a discrete transform of homogeneous decomposition spaces	16
A stochastic sparse representation: n-best approximation to random signals and computation	16
Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators	16
Editorial Board	15
Marcinkiewicz–Zygmund inequalities for scattered and random data on the q-sphere	14
Controlled learning of pointwise nonlinearities in neural-network-like architectures	14
Finite alphabet phase retrieval	13
Irregular Gabor frames of Cauchy kernels	13
Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling	12
A simple approach for quantizing neural networks	12
Gaussian random field approximation via Stein's method with applications to wide random neural networks	12
Eigenmatrix for unstructured sparse recovery	12
Editorial Board	12
On the number of faces and radii of cells induced by Gaussian spherical tessellations	11
Stable parameterization of continuous and piecewise-linear functions	11
Adaptive parameter selection for kernel ridge regression	11
An efficient spatial discretization of spans of multivariate Chebyshev polynomials	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
Data-driven optimal shrinkage of singular values under high-dimensional noise with separable covariance structure with application	11
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 relation between Fourier and Walsh–Rademacher spectra for random fields	10
On the accuracy of Prony's method for recovery of exponential sums with closely spaced exponents	10
On the intermediate value property of spectra for a class of Moran spectral measures	10
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization	10
Estimation under group actions: Recovering orbits from invariants	9
A sufficient condition for mobile sampling in terms of surface density	9
Direct interpolative construction of the discrete Fourier transform as a matrix product operator	9
Frames of translates for model sets	9
Divergence-free quasi-interpolation	9
Sparse free deconvolution under unknown noise level via eigenmatrix	8
Synthesis-based time-scale transforms for non-stationary signals	8
Dimension reduction, exact recovery, and error estimates for sparse reconstruction in phase space	8
Weighted variation spaces and approximation by shallow ReLU networks	8
Lower bounds on the low-distortion embedding dimension of submanifolds of 8
Editorial Board	8
A tighter generalization error bound for wide GCN based on loss landscape	8
Laplace-Beltrami operator on the orthogonal group in ambient (Euclidean) coordinates	8
Constructive subsampling of finite frames with applications in optimal function recovery	7
Algebraic compressed sensing	7
A unified approach to synchronization problems over subgroups of the orthogonal group	7
Fundamental component enhancement via adaptive nonlinear activation functions	7
Permutation-invariant representations with applications to graph deep learning	7
Editorial Board	7
Positive definite multi-kernels for scattered data interpolations	7
Spectral analysis of weighted Laplacians arising in data clustering	7
Tikhonov regularization for Gaussian empirical gain maximization in RKHS is consistent	7
Optimal (α,d)-multi-completion of d-designs	7

A one-bit, comparison-based gradient estimator	7
Frames by orbits of two operators that commute	6
Performance bounds of the intensity-based estimators for noisy phase retrieval	6
Non-asymptotic bounds for discrete prolate spheroidal wave functions analogous with prolate spheroidal wave function bounds	6
Spectrality of generalized Sierpinski-type self-affine measures	6
Spectral convergence of graph Laplacian and heat kernel reconstruction in L∞ from random samples	6
The springback penalty for robust signal recovery	6
Editorial Board	6
On a regularization of unsupervised domain adaptation in RKHS	6
Sparse signal recovery from phaseless measurements via hard thresholding pursuit	6
The G-invariant graph Laplacian part II: Diffusion maps	6
Sparsification of the regularized magnetic Laplacian with multi-type spanning forests	6
Uniform approximation of common Gaussian process kernels using equispaced Fourier grids	6
Metric entropy limits on recurrent neural network learning of linear dynamical systems	6
Generalization bounds for sparse random feature expansions	6
Linearized Wasserstein dimensionality reduction with approximation guarantees	6
Geometric scattering on measure spaces	5
Editorial Board	5
Group projected subspace pursuit for block sparse signal reconstruction: Convergence analysis and applications	5
Generalization analysis of an unfolding network for analysis-based compressed sensing	5
Understanding neural networks with reproducing kernel Banach spaces	5
The beltway problem over orthogonal groups	5
Editorial Board	5
Editorial Board	5
Time-frequency analysis on flat tori and Gabor frames in finite dimensions	5
Framelet message passing	5
Deep microlocal reconstruction for limited-angle tomography	5
Graph signal interpolation with positive definite graph basis functions	5
Stability of iterated dyadic filter banks	5
Solving PDEs on unknown manifolds with machine learning	5
Gaussian approximation for the moving averaged modulus wavelet transform and its variants	5
Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs	5
On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures	5
Stable recovery of entangled weights: Towards robust identification of deep neural networks from minimal samples	4
Needlets liberated	4
Time and band limiting for exceptional polynomials	4
Robust sparse recovery with sparse Bernoulli matrices via expanders	4
On the construction of discrete orthonormal Gabor bases on finite dimensional spaces	4
Double preconditioning for Gabor frame operators: Algebraic, functional analytic and numerical aspects	4
Rate-optimal sparse approximation of compact break-of-scale embeddings	4
ANOVA-boosting for random Fourier features	4
Construction of pairwise orthogonal Parseval frames generated by filters on LCA groups	4
A shape preserving C2 non-linear, non-uniform, subdivision scheme with fourth-order accuracy	4
Compressed sensing of low-rank plus sparse matrices	4
Signal recovery from a few linear measurements of its high-order spectra	4
Error analysis for denoising smooth modulo signals on a graph	4
Analysis of a direct separation method based on adaptive chirplet transform for signals with crossover instantaneous frequencies	4
A noncommutative approach to the graphon Fourier transform	4
Approximating the span of principal components via iterative least-squares	4
Representation of operators using fusion frames	4
Injectivity of Gabor phase retrieval from lattice measurements	4
Spline manipulations for empirical mode decomposition (EMD) on bounded intervals and beyond	4
Frame set for shifted sinc-function	3
Recurrence of optimum for training weight and activation quantized networks	3
A constructive approach for computing the proximity operator of the p-th power of the ℓ1 norm	3
Local approximation of operators	3
Effectiveness of the tail-atomic norm in gridless spectrum estimation	3
Corrigendum to “Nonlinear matrix recovery using optimization on the Grassmann manifold” [Appl. Comput. Harmon. Anal. 62 (2023) 498–542]	3
Detecting whether a stochastic process is finitely expressed in a basis	3
Donoho-Logan large sieve principles for the wavelet transform	3
Localized Fourier analysis for graph signal processing	3
Exponential bases for partitions of intervals	3
Two families of compactly supported Parseval framelets in L2	3
Entropy of compact operators with applications to Landau-Pollak-Slepian theory and Sobolev spaces	3
Compressibility analysis of asymptotically mean stationary processes	3
Nonconvex regularization for sparse neural networks	3
Homomorphic sensing of subspace arrangements	3
Twisted B-splines in the complex plane	3
Editorial Board	3
Analysis and algorithms for ℓ-based semi-supervised learning on graphs	3
Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions	3
Spectral graph wavelet packets frames	3
Filament plots for data visualization	3
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	3
Editorial Board	3
Two subspace methods for frequency sparse graph signals	3
Editorial Board	3
An inverse problem for Dirac systems on p-star-shaped graphs	3
Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods	3
Gaussian process regression with log-linear scaling for common non-stationary kernels	3

Gabor frame bound optimizations	3
The universal approximation theorem for complex-valued neural networks	2
The mystery of Carleson frames	2
Phase function methods for second order linear ordinary differential equations with turning points	2
A perturbative analysis for noisy spectral estimation	2
High-order approximation rates for shallow neural networks with cosine and ReLU activation functions	2
Conditional expectation using compactification operators	2
Hierarchical isometry properties of hierarchical measurements	2
A multiscale environment for learning by diffusion	2
Solving PDEs on spheres with physics-informed convolutional neural networks	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
The sparsity of LASSO-type minimizers	2
Complex-order scale-invariant operators and self-similar processes	2
The metaplectic action on modulation spaces	2
Deep nonparametric estimation of intrinsic data structures by chart autoencoders: Generalization error and robustness	2
Gradient descent for deep matrix factorization: Dynamics and implicit bias towards low rank	2
Eigen-convergence of Gaussian kernelized graph Laplacian by manifold heat interpolation	2
Matrix recovery from permutations	2
New results on sparse representations in unions of orthonormal bases	2
Inverse problems are solvable on real number signal processing hardware	2
A proximal algorithm with backtracked extrapolation for a class of structured fractional programming	2
Analysis of the ratio of ℓ1 and ℓ2 norms in compressed sensing	2
Transferability of graph neural networks: An extended graphon approach	2
Editorial Board	2
Multidimensional unstructured sparse recovery via eigenmatrix	2
Loss landscapes and optimization in over-parameterized non-linear systems and neural networks	2
Editorial Board	2
How robust is randomized blind deconvolution via nuclear norm minimization against adversarial noise?	2
Random sampling over locally compact Abelian groups and inversion of the Radon transform	2
On the existence and estimates of nested spherical designs	2
Editorial Board	2
Riesz transform associated with the fractional Fourier transform and applications in image edge detection	2