OOIR: Observatory of International Research

Papers

(The TQCC of Applied and Computational Harmonic Analysis is 6. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2020-11-01 to 2024-11-01.)

Article	Citations
Spectrality of self-affine Sierpinski-type measures on R	55
Adaptive synchrosqueezing transform with a time-varying parameter for non-stationary signal separation	52
Graph convolutional neural networks via scattering	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
A mathematical theory of the computational resolution limit in one dimension	14
Random sampling and reconstruction of concentrated signals in a reproducing kernel space	14
Generalization bounds for sparse random feature expansions	14
Wavelet thresholding for recovery of active sub-signals of a composite signal from its discrete samples	13
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
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
A classification of anisotropic Besov spaces	9
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
The recovery of complex sparse signals from few phaseless measurements	8
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
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