Analysis and Applications

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 2020-03-01 to 2024-03-01.)
ArticleCitations
Rectified deep neural networks overcome the curse of dimensionality for nonsmooth value functions in zero-sum games of nonlinear stiff systems24
Analysis of adaptive short-time Fourier transform-based synchrosqueezing transform17
Learning theory of minimum error entropy under weak moment conditions15
Wellposedness and regularity of a variable-order space-time fractional diffusion equation15
Summability of Fourier transforms on mixed-norm Lebesgue spaces via associated Herz spaces13
Communication-efficient estimation of high-dimensional quantile regression13
A simultaneous decomposition for three quaternion tensors with applications in color video signal processing13
Approximating functions with multi-features by deep convolutional neural networks12
Global mass-preserving solutions to a chemotaxis-fluid model involving Dirichlet boundary conditions for the signal9
On Cucker–Smale dynamical systems with degenerate communication9
On the global operator and Fueter mapping theorem for slice polyanalytic functions9
Neural ODEs as the deep limit of ResNets with constant weights9
Well-posedness and asymptotic behavior of an aggregation model with intrinsic interactions on sphere and other manifolds8
Analytical expressions of copositivity for fourth-order symmetric tensors8
A new sufficient condition for sparse vector recovery via ℓ1 − ℓ2 local minimization7
Mixed-norm Herz spaces and their applications in related Hardy spaces7
A new theory of fractional differential calculus7
Reproducing kernel Hilbert spaces on manifolds: Sobolev and diffusion spaces7
Deep ReLU neural networks overcome the curse of dimensionality for partial integrodifferential equations7
Robust recovery of signals with partially known support information using weighted BPDN6
Simplified error bounds for turning point expansions6
Topological states and continuum model for swarmalators without force reciprocity6
Fractional Hardy-type and trace theorems for nonlocal function spaces with heterogeneous localization6
Exact reconstruction of extended exponential sums using rational approximation of their Fourier coefficients5
Boundedness and compactness of commutators associated with Lipschitz functions5
Weighted lp − l1 minimization methods for block sparse recovery and rank minimization5
Mathematical modeling and qualitative analysis of viscoelastic conductive fluids5
Effects of depth, width, and initialization: A convergence analysis of layer-wise training for deep linear neural networks5
Asymptotic approximations for eigenvalues and eigenfunctions of a spectral problem in a thin graph-like junction with a concentrated mass in the node5
Blowup for a Kirchhoff-type parabolic equation with logarithmic nonlinearity5
Global existence and large time behavior of strong solutions to the nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum5
High-order low-bit Sigma-Delta quantization for fusion frames4
Approximations with deep neural networks in Sobolev time-space4
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 case4
Sparse representation of approximation to identity4
Variation operators associated with the semigroups generated by Schrödinger operators with inverse square potentials4
Sparse additive machine with ramp loss3
Generalized Appell polynomials and Fueter–Bargmann transforms in the polyanalytic setting3
Translation and modulation invariant Banach spaces of tempered distributions satisfy the metric approximation property3
Dynamics of stochastic nonlocal reaction–diffusion equations driven by multiplicative noise3
Balanced joint maximum mean discrepancy for deep transfer learning3
Neural network interpolation operators activated by smooth ramp functions3
Minimum norm interpolation in the ℓ1(ℕ) space3
A mass-conserved tumor invasion system with quasi-variational degenerate diffusion3
Emergence of mono-cluster flocking in the thermomechanical Cucker–Smale model under switching topologies3
On the global L∞→BMO mapping property for Fourier integral operators3
Modified proximal symmetric ADMMs for multi-block separable convex optimization with linear constraints3
Fourier–Bessel series of compactly supported convolutions on disks3
Compactness and existence results for quasilinear elliptic problems with singular or vanishing potentials3
On the spherical slice transform3
Algorithmic versatility of SPF-regularization methods3
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