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Analytical expressions of copositivity for fourth-order symmetric tensors

期刊: ANALYSIS AND APPLICATIONS, 2021; 19 (05)

In particle physics, scalar potentials have to be bounded from below in order for the physics to make sense. The precise expressions of checking lower......

Asymptotics of solutions to a fifth-order modified Korteweg-de Vries equation in the quarter plane

期刊: ANALYSIS AND APPLICATIONS, 2021; 19 (04)

The large-time behavior of solutions to a fifth-order modified Korteweg-de Vries equation in the quarter plane is established. Our approach uses the u......

Asymptotics of the Charlier polynomials via difference equation methods

期刊: ANALYSIS AND APPLICATIONS, 2021; 19 (04)

We derive uniform and non-uniform asymptotics of the Charlier polynomials by using difference equation methods alone. The Charlier polynomials are spe......

The Fourier transform of thick distributions

期刊: ANALYSIS AND APPLICATIONS, 2021; 19 (04)

We first construct a space W(R-c(n)) whose elements are test functions defined in R-c(n) = R-n U {infinity}, the one point compactification of R-n, th......

Weighted lp - l1 minimization methods for block sparse recovery and rank minimization

期刊: ANALYSIS AND APPLICATIONS, 2021; 19 (2)

This paper considers block sparse recovery and rank minimization problems from incomplete linear measurements. We study the weighted lp - l1 (0 < p......

Emergence of mono-cluster flocking in the thermomechanical Cucker-Smale model under switching topologies

期刊: ANALYSIS AND APPLICATIONS, 2021; 19 (2)

We study the emergent dynamics of the thermomechanical Cucker-Smale (TCS) model with switching network topologies. The TCS model is a generalized CS m......

Local strong solutions to the Cauchy problem of two-dimensional nonhomogeneous magneto-micropolar fluid equations with nonnegative density

期刊: ANALYSIS AND APPLICATIONS, 2021; 19 (2)

We study the Cauchy problem of nonhomogeneous magneto-micropolar fluid system with zero density at infinity in the entire space 2. We prove that the s......

Learning rates for partially linear support vector machine in high dimensions

期刊: ANALYSIS AND APPLICATIONS, 2021; 19 (1)

This paper analyzes a new regularized learning scheme for high-dimensional partially linear support vector machine (SVM). The proposed approach consis......

A regularized convolutional neural network for semantic image segmentation

期刊: ANALYSIS AND APPLICATIONS, 2021; 19 (1)

Convolutional neural networks (CNNs) have achieved prominent performance in a series of image processing problems. CNNs become the first choice for de......

Generalized representer theorems in Banach spaces

期刊: ANALYSIS AND APPLICATIONS, 2021; 19 (1)

In this paper, we generalize the representer theorems in Banach spaces by the theory of nonsmooth analysis. The generalized representer theorems assur......

Optimal learning with Gaussians and correntropy loss

期刊: ANALYSIS AND APPLICATIONS, 2021; 19 (1)

Correntropy-based learning has achieved great success in practice during the last decades. It is originated from information-theoretic learning and pr......

A simultaneous decomposition for three quaternion tensors with applications in color video signal processing

期刊: ANALYSIS AND APPLICATIONS, 2021; 19 (3)

In this paper, we establish a simultaneous decomposition for three quaternion tensors via Einstein product. This simultaneous decomposition transforms......

Sparse additive machine with ramp loss

期刊: ANALYSIS AND APPLICATIONS, 2021; 19 (3)

Sparse additive machines (SAMs) have attracted increasing attention in high dimensional classification due to their representation flexibility and int......

Balanced joint maximum mean discrepancy for deep transfer learning

期刊: ANALYSIS AND APPLICATIONS, 2021; 19 (3)

Recent studies have revealed that deep networks can learn transferable features that generalize well to novel tasks with little or unavailable labeled......

The Cauchy problem for a two-dimensional generalized Kadomtsev-Petviashvili-I equation in anisotropic Sobolev spaces

期刊: ANALYSIS AND APPLICATIONS, 2020; 18 (3)

The goal of this paper is three fold. First, we prove that the Cauchy problem for a generalized KP-I equation u(t) +vertical bar D-x vertical bar(alph......

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