Applied and Computational Harmonic Analysis

Article	Citations
Spectrality of self-affine Sierpinski-type measures on R	55
Graph convolutional neural networks via scattering	52
Adaptive synchrosqueezing transform with a time-varying parameter for non-stationary signal separation	52
Aliasing error of the exp⁡(β<	39
Loss landscapes and optimization in over-parameterized non-linear systems and neural networks	39
Fractional Fourier transforms on L and applications	39
Reproducing kernel Hilbert space compactification of unitary evolution groups	35
Stable super-resolution limit and smallest singular value of restricted Fourier matrices	31
Uniqueness of STFT phase retrieval for bandlimited functions	25
Time-scale-chirp_rate operator for recovery of non-stationary signal components with crossover instantaneous frequency curves	25
Wigner analysis of operators. Part I: Pseudodifferential operators and wave fronts	23
A sharp upper bound for sampling numbers in L2	23
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration	23
Improved bounds for the eigenvalues of prolate spheroidal wave functions and discrete prolate spheroidal sequences	21
Spectral convergence of graph Laplacian and heat kernel reconstruction in L∞ from random samples	20
High-order approximation rates for shallow neural networks with cosine and ReLU activation functions	19
Estimation under group actions: Recovering orbits from invariants	19
ℓ1-Analysis minimization and generalized (co-)sparsity: When does recovery succeed?	18
Signal separation based on adaptive continuous wavelet-like transform and analysis	18
Time-frequency transforms of white noises and Gaussian analytic functions	17
Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods	17
The universal approximation theorem for complex-valued neural networks	17
Spectrality of generalized Sierpinski-type self-affine measures	16
Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs	16
Analysis of the ratio of ℓ1 and ℓ2 norms in compressed sensing	16

Low-rank matrix recovery via regularized nuclear norm minimization	16
Graph Fourier transform based on ℓ1 norm variation minimization	16
Riesz transform associated with the fractional Fourier transform and applications in image edge detection	16
Maximum entropy models from phase harmonic covariances	15
Random sampling and reconstruction of concentrated signals in a reproducing kernel space	14
Generalization bounds for sparse random feature expansions	14
A mathematical theory of the computational resolution limit in one dimension	14
Defining the wavelet bispectrum	13
A necessary and sufficient condition for sparse vector recovery via ℓ1 − ℓ2 minimization	13
Wavelet characterization of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type and its applications	13
Wavelet thresholding for recovery of active sub-signals of a composite signal from its discrete samples	13
Compactly supported quasi-tight multiframelets with high balancing orders and compact framelet transforms	12
Convex optimization in sums of Banach spaces	12
Neural collapse under cross-entropy loss	12
Quasi-projection operators in weighted L spaces	12
Disentangling modes with crossover instantaneous frequencies by synchrosqueezed chirplet transforms, from theory to application	11
Constructive subsampling of finite frames with applications in optimal function recovery	11
Injectivity of Gabor phase retrieval from lattice measurements	11
High-dimensional sparse FFT based on sampling along multiple rank-1 lattices	11
Rician noise removal via weighted nuclear norm penalization	11
Gabor phase retrieval is severely ill-posed	11
Sparse non-negative super-resolution — simplified and stabilised	11
Regularization of inverse problems by filtered diagonal frame decomposition	10
Sparse recovery in bounded Riesz systems with applications to numerical methods for PDEs	10
Harmonic analysis on directed graphs and applications: From Fourier analysis to wavelets	10
Differentially private SGD with non-smooth losses	10
Analysis and algorithms for ℓ-based semi-supervised learning on graphs	10
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization	10
A fast simple algorithm for computing the potential of charges on a line	10
Transferability of graph neural networks: An extended graphon approach	10
Diffusion K-means clustering on manifolds: Provable exact recovery via semidefinite relaxations	9
Infinite dimensional compressed sensing from anisotropic measurements and applications to inverse problems in PDE	9
Group sparse recovery in impulsive noise via alternating direction method of multipliers	9
Dynamical sampling for shift-preserving operators	9
Data-driven spatiotemporal modal decomposition for time frequency analysis	9
A multiscale environment for learning by diffusion	9
Analysis of a direct separation method based on adaptive chirplet transform for signals with crossover instantaneous frequencies	9
Understanding neural networks with reproducing kernel Banach spaces	9
A classification of anisotropic Besov spaces	9
Activation function design for deep networks: linearity and effective initialisation	8
Wavelets on intervals derived from arbitrary compactly supported biorthogonal multiwavelets	8
Phase retrieval of bandlimited functions for the wavelet transform	8
Capacity dependent analysis for functional online learning algorithms	8
The recovery of complex sparse signals from few phaseless measurements	8
Multidimensional scaling of noisy high dimensional data	7
A stochastic sparse representation: n-best approximation to random signals and computation	7
Tempered fractional Brownian motion: Wavelet estimation, modeling and testing	7
Eigen-convergence of Gaussian kernelized graph Laplacian by manifold heat interpolation	7
Computing committors in collective variables via Mahalanobis diffusion maps	7
Sparse signal recovery from phaseless measurements via hard thresholding pursuit	7

A tailor-made 3-dimensional directional Haar semi-tight framelet for pMRI reconstruction	7
Stable phase retrieval from locally stable and conditionally connected measurements	7
The Noise-sensitivity phase transition in spectral group synchronization over compact groups	6
The Nyquist sampling rate for spiraling curves	6
Hadamard equiangular tight frames	6
Learning ability of interpolating deep convolutional neural networks	6
Graph signal interpolation with positive definite graph basis functions	6
An extremal problem for polynomials	6
The diffusion geometry of fibre bundles: Horizontal diffusion maps	6
Almost everywhere generalized phase retrieval	6
Multiresolution mode decomposition for adaptive time series analysis	6
Generalized matrix spectral factorization with symmetry and applications to symmetric quasi-tight framelets	6
Gradient projection Newton pursuit for sparsity constrained optimization	5
Rates of convergence of randomized Kaczmarz algorithms in Hilbert spaces	5
Functional penalised basis pursuit on spheres	5
Localized Fourier analysis for graph signal processing	5
A representation theory perspective on simultaneous alignment and classification	5
The sparsity of LASSO-type minimizers	5
Nonlinear wavelet-based estimation to spectral density for stationary non-Gaussian linear processes	5
Multivariate Vandermonde matrices with separated nodes on the unit circle are stable	5
FROG-measurement based phase retrieval for analytic signals	5
Optimal learning with anisotropic Gaussian SVMs	5
On a regularization of unsupervised domain adaptation in RKHS	5
On 2-dimensional mobile sampling	5
Tensor completion by multi-rank via unitary transformation	5
A noncommutative approach to the graphon Fourier transform	5
Deep microlocal reconstruction for limited-angle tomography	5
Strictly proper kernel scores and characteristic kernels on compact spaces	5
Causal FIR symmetric paraunitary matrix extension and construction of symmetric tight M-dilated framelets	5
Image restoration: Structured low rank matrix framework for piecewise smooth functions and beyond	5
Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions	5
Super-resolution wavelets for recovery of arbitrarily close point-masses with arbitrarily small coefficients	5
Fractional diffusion maps	5
A one-bit, comparison-based gradient estimator	5
A shape preserving C2 non-linear, non-uniform, subdivision scheme with fourth-order accuracy	5
A sufficient condition for mobile sampling in terms of surface density	5
Compressed sensing of low-rank plus sparse matrices	4
On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures	4
Strongly convex optimization for joint fractal feature estimation and texture segmentation	4
Stable parameterization of continuous and piecewise-linear functions	4
The WQN algorithm to adaptively correct artifacts in the EEG signal	4
Distributed regularized least squares with flexible Gaussian kernels	4
On the Schatten p-quasi-norm minimization for low-rank matrix recovery	4
Spectral analysis of weighted Laplacians arising in data clustering	4
On Bayesian estimation and proximity operators	4
The affine Wigner distribution	4
The minimizers of the p-frame potential	4
Regularization with multilevel non-stationary tight framelets for image restoration	4
Single-exponential bounds for the smallest singular value of Vandermonde matrices in the sub-Rayleigh regime	4
Complete interpolating sequences for the Gaussian shift-invariant space	4
A proximal algorithm with backtracked extrapolation for a class of structured fractional programming	4
Fundamental component enhancement via adaptive nonlinear activation functions	4
Fractional Hardy-Sobolev L1-embedding per capacity-duality	4
On the intermediate value property of spectra for a class of Moran spectral measures	4
A fractal uncertainty principle for the short-time Fourier transform and Gabor multipliers	4
Exact matrix completion based on low rank Hankel structure in the Fourier domain	4
Hierarchical isometry properties of hierarchical measurements	4
Exponential bases for partitions of intervals	3
Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling	3
Twisted B-splines in the complex plane	3
On linear weak predictability with single point spectrum degeneracy	3
Hirschman–Widder densities	3
When does OMP achieve exact recovery with continuous dictionaries?	3
Almost everywhere injectivity conditions for the matrix recovery problem	3
Phase retrieval: A data-driven wavelet frame based approach	3
Robust approach for blind separation of noisy mixtures of independent and dependent sources	3
Two families of compactly supported Parseval framelets in L2	3
Spectral analysis of a time series: From an additive perspective to a multiplicative perspective	3
A simple approach for quantizing neural networks	3
On the eigenvalue distribution of spatio-spectral limiting operators in higher dimensions	3
Homomorphic sensing of subspace arrangements	3
Signal recovery from a few linear measurements of its high-order spectra	3
On the construction of discrete orthonormal Gabor bases on finite dimensional spaces	3
Diffusion maps for embedded manifolds with boundary with applications to PDEs	3
On description of dual frames	3
The restricted isometry property of block diagonal matrices for group-sparse signal recovery	3
Local approximation of operators	3
Orthogonal polynomials, biorthogonal polynomials and spline functions	3
A quantitative subspace Balian-Low theorem	3
Biorthogonal Greedy Algorithms in convex optimization	3

Full spark frames in the orbit of a representation	3
Gradient descent for deep matrix factorization: Dynamics and implicit bias towards low rank	3
Papoulis' sampling theorem: Revisited	3
Inequalities for derivatives with the Fourier transform	3
Geometric scattering on measure spaces	2
Stability of iterated dyadic filter banks	2
A divide-and-conquer algorithm for distributed optimization on networks	2
Ranking recovery from limited pairwise comparisons using low-rank matrix completion	2
Approximate super-resolution of positive measures in all dimensions	2
Calderón-type inequalities for affine frames	2
Finding duality for Riesz bases of exponentials on multi-tiles	2
Fast algorithms for the multi-dimensional Jacobi polynomial transform	2
LU decomposition and Toeplitz decomposition of a neural network	2
Frames by orbits of two operators that commute	2
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond	2
Super-resolution of generalized spikes and spectra of confluent Vandermonde matrices	2
Frame set for Gabor systems with Haar window	2
A multivariate Riesz basis of ReLU neural networks	2
A unified approach to synchronization problems over subgroups of the orthogonal group	2
n-Best kernel approximation in reproducing kernel Hilbert spaces	2
Error analysis for denoising smooth modulo signals on a graph	2
An O(12
Improve concentration of frequency and time (ConceFT) by novel complex spherical designs	2
Approximation bounds for norm constrained neural networks with applications to regression and GANs	2
Synthesis-based time-scale transforms for non-stationary signals	2
Continuous wavelet frames on the sphere: The group-theoretic approach revisited	2
Toric symplectic geometry and full spark frames	2
Interpolatory tight wavelet frames with prime dilation	2
Dynamic super-resolution in particle tracking problems	2
A note on spike localization for line spectrum estimation	2
Metaplectic Gabor frames and symplectic analysis of time-frequency spaces	2
Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators	2
On the number of faces and radii of cells induced by Gaussian spherical tessellations	2
Fractional Fourier transforms, harmonic oscillator propagators and Strichartz estimates on Pilipović and modulation spaces	2
Scaling limit of modulation spaces and their applications	2
Phase retrieval for sub-Gaussian measurements	2
Image denoising based on a variable spatially exponent PDE	2
New results on approximate Hilbert pairs of wavelet filters with common factors	2
On the numerical evaluation of the prolate spheroidal wave functions of order zero	2