Applied and Computational Harmonic Analysis

Article	Citations
Universality of deep convolutional neural networks	247
Data-driven spectral analysis of the Koopman operator	60
Adaptive synchrosqueezing transform with a time-varying parameter for non-stationary signal separation	45
Spectrality of self-affine Sierpinski-type measures on R	45
Graph convolutional neural networks via scattering	42
Fractional Fourier transforms on L and applications	31
Aliasing error of the exp⁡(β<	31
Reproducing kernel Hilbert space compactification of unitary evolution groups	28
Stable super-resolution limit and smallest singular value of restricted Fourier matrices	28
Loss landscapes and optimization in over-parameterized non-linear systems and neural networks	24
Koopman spectra in reproducing kernel Hilbert spaces	23
Large data and zero noise limits of graph-based semi-supervised learning algorithms	21
Phase retrieval of real-valued signals in a shift-invariant space	20
Uniqueness of STFT phase retrieval for bandlimited functions	20
Distributed kernel gradient descent algorithm for minimum error entropy principle	20
Time-scale-chirp_rate operator for recovery of non-stationary signal components with crossover instantaneous frequency curves	20
On the zeros of the spectrogram of white noise	20
Optimal rates for spectral algorithms with least-squares regression over Hilbert spaces	19
Improved bounds for the eigenvalues of prolate spheroidal wave functions and discrete prolate spheroidal sequences	19
Perspectives on CUR decompositions	19
ℓ1-Analysis minimization and generalized (co-)sparsity: When does recovery succeed?	17
Signal separation based on adaptive continuous wavelet-like transform and analysis	16
Wigner analysis of operators. Part I: Pseudodifferential operators and wave fronts	16
Approximate support recovery of atomic line spectral estimation: A tale of resolution and precision	16
Spectral convergence of graph Laplacian and heat kernel reconstruction in L∞ from random samples	15

A sharp upper bound for sampling numbers in L2	15
High-order approximation rates for shallow neural networks with cosine and ReLU activation functions	14
Generalization error of random feature and kernel methods: Hypercontractivity and kernel matrix concentration	14
Spectrality of generalized Sierpinski-type self-affine measures	14
Low-rank matrix recovery via regularized nuclear norm minimization	13
Maximum entropy models from phase harmonic covariances	13
Time-frequency transforms of white noises and Gaussian analytic functions	13
Wavelet thresholding for recovery of active sub-signals of a composite signal from its discrete samples	13
A mathematical theory of the computational resolution limit in one dimension	12
Sparse non-negative super-resolution — simplified and stabilised	12
Learning under (1 + ϵ)-moment conditions	12
Random sampling and reconstruction of concentrated signals in a reproducing kernel space	12
On signal reconstruction from FROG measurements	12
An edge driven wavelet frame model for image restoration	12
A necessary and sufficient condition for sparse vector recovery via ℓ1 − ℓ2 minimization	11
Gabor phase retrieval is severely ill-posed	11
Convex optimization in sums of Banach spaces	11
Near-optimal performance bounds for orthogonal and permutation group synchronization via spectral methods	11
Wavelet characterization of Besov and Triebel–Lizorkin spaces on spaces of homogeneous type and its applications	11
Analysis of the ratio of ℓ1 and ℓ2 norms in compressed sensing	11
Graph Fourier transform based on ℓ1 norm variation minimization	11
High-dimensional sparse FFT based on sampling along multiple rank-1 lattices	11
Riesz transform associated with the fractional Fourier transform and applications in image edge detection	10
Isotropic sparse regularization for spherical harmonic representations of random fields on the sphere	10
Quasi-projection operators in weighted L spaces	10
Learning with correntropy-induced losses for regression with mixture of symmetric stable noise	10
Compactly supported quasi-tight multiframelets with high balancing orders and compact framelet transforms	9
Data-driven spatiotemporal modal decomposition for time frequency analysis	9
Complex best r-term approximations almost always exist in finite dimensions	9
How to get high resolution results from sparse and coarsely sampled data	9
Infinite dimensional compressed sensing from anisotropic measurements and applications to inverse problems in PDE	9
Intertwining wavelets or multiresolution analysis on graphs through random forests	8
Rician noise removal via weighted nuclear norm penalization	8
Analysis and algorithms for ℓ-based semi-supervised learning on graphs	8
Dynamical sampling for shift-preserving operators	8
Solving phase retrieval with random initial guess is nearly as good as by spectral initialization	8
Group sparse recovery in impulsive noise via alternating direction method of multipliers	8
Neural collapse under cross-entropy loss	8
Generalization bounds for sparse random feature expansions	8
Defining the wavelet bispectrum	8
Activation function design for deep networks: linearity and effective initialisation	8
A classification of anisotropic Besov spaces	8
Injectivity of Gabor phase retrieval from lattice measurements	8
On the stable sampling rate for binary measurements and wavelet reconstruction	8
Improved spectral convergence rates for graph Laplacians on ε-graphs and k-NN graphs	8
Wavelets on intervals derived from arbitrary compactly supported biorthogonal multiwavelets	7
Disentangling modes with crossover instantaneous frequencies by synchrosqueezed chirplet transforms, from theory to application	7
Interpolating splines on graphs for data science applications	7
Analysis of a direct separation method based on adaptive chirplet transform for signals with crossover instantaneous frequencies	7
Quasi-tight framelets with high vanishing moments derived from arbitrary refinable functions	7

Generalizing CoSaMP to signals from a union of low dimensional linear subspaces	7
Sensor calibration for off-the-grid spectral estimation	7
Multi-view kernel consensus for data analysis	7
Regularization of inverse problems by filtered diagonal frame decomposition	7
Sparse recovery in bounded Riesz systems with applications to numerical methods for PDEs	7
A fast simple algorithm for computing the potential of charges on a line	7
The universal approximation theorem for complex-valued neural networks	7
Constructive subsampling of finite frames with applications in optimal function recovery	6
Computing committors in collective variables via Mahalanobis diffusion maps	6
Almost everywhere generalized phase retrieval	6
Sparse signal recovery from phaseless measurements via hard thresholding pursuit	6
Phase retrieval using alternating minimization in a batch setting	6
Estimation under group actions: Recovering orbits from invariants	6
Crosscorrelation of Rudin–Shapiro-like polynomials	6
Diffusion K-means clustering on manifolds: Provable exact recovery via semidefinite relaxations	6
Multiresolution mode decomposition for adaptive time series analysis	6
A stochastic sparse representation: n-best approximation to random signals and computation	6
The diffusion geometry of fibre bundles: Horizontal diffusion maps	6
A multiscale environment for learning by diffusion	6
Data-driven efficient solvers for Langevin dynamics on manifold in high dimensions	6
Functional penalised basis pursuit on spheres	5
The recovery of complex sparse signals from few phaseless measurements	5
Eigen-convergence of Gaussian kernelized graph Laplacian by manifold heat interpolation	5
Multidimensional scaling of noisy high dimensional data	5
Nonlinear wavelet-based estimation to spectral density for stationary non-Gaussian linear processes	5
Harmonic analysis on directed graphs and applications: From Fourier analysis to wavelets	5
On a regularization of unsupervised domain adaptation in RKHS	5
Image inpainting using sparse multiscale representations: Image recovery performance guarantees	5
Differentially private SGD with non-smooth losses	5
Ball prolate spheroidal wave functions in arbitrary dimensions	5
Gaussian and sparse processes are limits of generalized Poisson processes	5
Stable phase retrieval from locally stable and conditionally connected measurements	5
Complete set of translation invariant measurements with Lipschitz bounds	5
Super-resolution wavelets for recovery of arbitrarily close point-masses with arbitrarily small coefficients	5
Adaptive multi-penalty regularization based on a generalized Lasso path	5
A representation theory perspective on simultaneous alignment and classification	5
Hadamard equiangular tight frames	5
Understanding neural networks with reproducing kernel Banach spaces	5
The Noise-sensitivity phase transition in spectral group synchronization over compact groups	5
Gradient projection Newton pursuit for sparsity constrained optimization	4
Uncertainty principles and optimally sparse wavelet transforms	4
Erasure recovery matrices for encoder protection	4
Localized Fourier analysis for graph signal processing	4
A one-bit, comparison-based gradient estimator	4
Fundamental component enhancement via adaptive nonlinear activation functions	4
Multivariate Vandermonde matrices with separated nodes on the unit circle are stable	4
On Bayesian estimation and proximity operators	4
Theoretical guarantees for graph sparse coding	4
The Nyquist sampling rate for spiraling curves	4
Fractional diffusion maps	4
Tempered fractional Brownian motion: Wavelet estimation, modeling and testing	4
Hierarchical isometry properties of hierarchical measurements	4
The ℓ2, regularized group sparse optimization: Lower bound theory, recovery bound and algorithms	4
Fractional Hardy-Sobolev L1-embedding per capacity-duality	4
A sufficient condition for mobile sampling in terms of surface density	4
Graph signal interpolation with positive definite graph basis functions	4
Regularization with multilevel non-stationary tight framelets for image restoration	4
An extremal problem for polynomials	4
Single-exponential bounds for the smallest singular value of Vandermonde matrices in the sub-Rayleigh regime	4
Investigations on the approximability and computability of the Hilbert transform with applications	4
A shape preserving C2 non-linear, non-uniform, subdivision scheme with fourth-order accuracy	4
Rigorous restricted isometry property of low-dimensional subspaces	4
Strictly proper kernel scores and characteristic kernels on compact spaces	4
Full spark frames in the orbit of a representation	3
BranchHull: Convex bilinear inversion from the entrywise product of signals with known signs	3
Inequalities for derivatives with the Fourier transform	3
The minimizers of the p-frame potential	3
Generalized greedy alternatives	3
Exact matrix completion based on low rank Hankel structure in the Fourier domain	3
On 2-dimensional mobile sampling	3
Distributed regularized least squares with flexible Gaussian kernels	3
A tailor-made 3-dimensional directional Haar semi-tight framelet for pMRI reconstruction	3
Uniform recovery from subgaussian multi-sensor measurements	3
A proximal algorithm with backtracked extrapolation for a class of structured fractional programming	3
Strongly convex optimization for joint fractal feature estimation and texture segmentation	3
On description of dual frames	3
Wavelets on compact abelian groups	3
Uniform recovery in infinite-dimensional compressed sensing and applications to structured binary sampling	3
A quantitative subspace Balian-Low theorem	3
Orthogonal polynomials, biorthogonal polynomials and spline functions	3

On the Schatten p-quasi-norm minimization for low-rank matrix recovery	3
Signal recovery from a few linear measurements of its high-order spectra	3
Spectral analysis of weighted Laplacians arising in data clustering	3
The affine Wigner distribution	3
Phase retrieval: A data-driven wavelet frame based approach	3
FROG-measurement based phase retrieval for analytic signals	3
The WQN algorithm to adaptively correct artifacts in the EEG signal	3
Fast cross-validation in harmonic approximation	3
On linear weak predictability with single point spectrum degeneracy	3
Hirschman–Widder densities	3
Transferability of graph neural networks: An extended graphon approach	3
Twisted B-splines in the complex plane	2
On the quasi-Beurling dimensions of the spectra for planar Moran-type Sierpinski spectral measures	2
Complete interpolating sequences for the Gaussian shift-invariant space	2
On the numerical evaluation of the prolate spheroidal wave functions of order zero	2
Dispersion, spreading and sparsity of Gabor wave packets for metaplectic and Schrödinger operators	2
Toric symplectic geometry and full spark frames	2
The sparsity of LASSO-type minimizers	2
A noncommutative approach to the graphon Fourier transform	2
Robust approach for blind separation of noisy mixtures of independent and dependent sources	2
Rates of convergence of randomized Kaczmarz algorithms in Hilbert spaces	2
Analysis of edge and corner points using parabolic dictionaries	2
Fast algorithms for the multi-dimensional Jacobi polynomial transform	2
Homomorphic sensing of subspace arrangements	2
Capacity dependent analysis for functional online learning algorithms	2
Tensor completion by multi-rank via unitary transformation	2
A diffusion + wavelet-window method for recovery of super-resolution point-masses with application to single-molecule microscopy and beyond	2
Improve concentration of frequency and time (ConceFT) by novel complex spherical designs	2
Deep microlocal reconstruction for limited-angle tomography	2
Compressed sensing of low-rank plus sparse matrices	2
Phase retrieval for sub-Gaussian measurements	2
Causal FIR symmetric paraunitary matrix extension and construction of symmetric tight M-dilated framelets	2
An O(12
Scaling limit of modulation spaces and their applications	2
Preserving injectivity under subgaussian mappings and its application to compressed sensing	2
Almost everywhere injectivity conditions for the matrix recovery problem	2
Frames by orbits of two operators that commute	2
Learning ability of interpolating deep convolutional neural networks	2
Approximate super-resolution of positive measures in all dimensions	2
New results on approximate Hilbert pairs of wavelet filters with common factors	2
Characterization of some convergent bivariate subdivision schemes with nonnegative masks	2
Upper and lower densities of Gabor Gaussian systems	2
When does OMP achieve exact recovery with continuous dictionaries?	2
Finding duality for Riesz bases of exponentials on multi-tiles	2
Phase retrieval of bandlimited functions for the wavelet transform	2
Diffusion maps for embedded manifolds with boundary with applications to PDEs	2
Spectral analysis of a time series: From an additive perspective to a multiplicative perspective	2
Optimal learning with anisotropic Gaussian SVMs	2