OOIR: Observatory of International Research

Papers

(The TQCC of Analysis and Applications is 3. 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
Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces	26
Approximating functions with multi-features by deep convolutional neural networks	20
Learning theory of minimum error entropy under weak moment conditions	17
Mixed-norm Herz spaces and their applications in related Hardy spaces	16
Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal	15
Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations	13
On the global operator and Fueter mapping theorem for slice polyanalytic functions	10
Well-posedness and asymptotic behavior of an aggregation model with intrinsic interactions on sphere and other manifolds	9
A new sufficient condition for sparse vector recovery via ℓ1 − ℓ2 local minimization	9
Neural network interpolation operators activated by smooth ramp functions	9
Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity	8
Sparse representation of approximation to identity	8
Boundedness and compactness of commutators associated with Lipschitz functions	7
A three-dimensional discrete model for approximating the deformation of a viral capsid subjected to lying over a flat surface in the static and time-dependent case	7
Reproducing kernel Hilbert spaces on manifolds: Sobolev and diffusion spaces	7
Topological states and continuum model for swarmalators without force reciprocity	7
A new theory of fractional differential calculus	7
Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node	7
Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization	7
Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients	6
Deep neural networks can stably solve high-dimensional, noisy, non-linear inverse problems	5
On the global L∞→BMO mapping property for Fourier integral operators	5
Approximations with deep neural networks in Sobolev time-space	5
Effects of depth, width, and initialization: A convergence analysis of layer-wise training for deep linear neural networks	5
Modified proximal symmetric ADMMs for multi-block separable convex optimization with linear constraints	5

Global existence and large time behavior of strong solutions to the nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum	5
Existence of multiple solutions for a Schrödinger logarithmic equation via Lusternik–Schnirelmann category	5
A structural characterization of compactly supported OEP-based balanced dual multiframelets	4
A mass-conserved tumor invasion system with quasi-variational degenerate diffusion	4
Dynamics of stochastic nonlocal reaction–diffusion equations driven by multiplicative noise	4
Error analysis of deep Ritz methods for elliptic equations	4
A machine learning approach to optimal Tikhonov regularization I: Affine manifolds	4
Nonlinear approximation spaces for inverse problems	4
Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials	4
Operator-valued positive definite kernels and differentiable universality	4
Fourier–Bessel series of compactly supported convolutions on disks	4
Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property	4
Generalized Appell polynomials and Fueter–Bargmann transforms in the polyanalytic setting	3
Reproducing kernels of Sobolev–Slobodeckij˘ spaces via Green’s kernel approach: Theory and applications	3
Iteratively consistent one-bit phase retrieval	3
Sparse regularization with the ℓ0 norm	3
Spline representation and redundancies of one-dimensional ReLU neural network models	3
Global existence and optimal time decay rates for the three-dimensional incompressible Phan-Thien–Tanner model	3
On the spherical slice transform	3
Weighted random sampling and reconstruction in general multivariate trigonometric polynomial spaces	3
A new binary representation method for shape convexity and application to image segmentation	3
A new elliptic mixed boundary value problem with (p,q)-Laplacian and Clarke subdifferential: Existence, comparison and convergence results	3
Symbolic calculus and M-ellipticity of pseudo-differential operators on ℤn	3
Instability of closed p-elastic curves in ?2	3
Convergence and finite sample approximations of entropic regularized Wasserstein distances in Gaussian and RKHS settings	3