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20082026
most citedFramelet Representation of Tensor Nuclear Norm for Third-Order Tensor Completion

185 citations

Showing 2020Show all

23 papers · 1 filter

cs.LG2020★ 2 cited

Adaptive Graph-based Generalized Regression Model for Unsupervised Feature Selection

Yanyong Huang, Zongxin Shen, Fuxu Cai +2

Unsupervised feature selection is an important method to reduce dimensions of high dimensional data without labels, which is benefit to avoid ``curse of dimensionality'' and improv…

math.NA2020★ 16 cited

An efficient second-order energy stable BDF scheme for the space fractional Cahn-Hilliard equation

Yong-Liang Zhao, Meng Li, Alexander Ostermann +1

The space fractional Cahn-Hilliard phase-field model is more adequate and accurate in the description of the formation and phase change mechanism than the classical Cahn-Hilliard m…

math.FA2020★ 1 cited

Convergence structures and Hausdorff uo-Lebesgue topologies on vector lattice algebras of operators

Yang Deng, Marcel de Jeu

A vector sublattice of the order bounded operators on a Dedekind complete vector lattice can be supplied with the convergence structures of order convergence, strong order converge…

math.NA2020★ 20 cited

A low-rank Lie-Trotter splitting approach for nonlinear fractional complex Ginzburg-Landau equations

Yong-Liang Zhao, Alexander Ostermann, Xian-Ming Gu

Fractional Ginzburg-Landau equations as the generalization of the classical one have been used to describe various physical phenomena. In this paper, we propose a numerical integra…

math.OC2020

Lipschitz-like property relative to a set and the generalized Mordukhovich criterion

Kaiwen Meng, Minghua Li, Wenfang Yao +1

In this paper we will establish some necessary condition and sufficient condition respectively for a set-valued mapping to have the Lipschitz-like property relative to a closed set…

cs.LG2020★ 9 cited

Multi-View Spectral Clustering with High-Order Optimal Neighborhood Laplacian Matrix

Weixuan Liang, Sihang Zhou, Jian Xiong +5

Multi-view spectral clustering can effectively reveal the intrinsic cluster structure among data by performing clustering on the learned optimal embedding across views. Though demo…

cs.AI2020★ 6 cited

Distributed Linguistic Representations in Decision Making: Taxonomy, Key Elements and Applications, and Challenges in Data Science and Explainable Artificial Intelligence

Yuzhu Wu, Zhen Zhang, Gang Kou +5

Distributed linguistic representations are powerful tools for modelling the uncertainty and complexity of preference information in linguistic decision making. To provide a compreh…

math.ST2020★ 19 cited

An autocovariance-based learning framework for high-dimensional functional time series

Jinyuan Chang, Cheng Chen, Xinghao Qiao +1

Many scientific and economic applications involve the statistical learning of high-dimensional functional time series, where the number of functional variables is comparable to, or…

math.FA2020★ 3 cited

Convergence structures and locally solid topologies on vector lattices of operators

Yang Deng, Marcel de Jeu

For vector lattices and , where is Dedekind complete and supplied with a locally solid topology, we introduce the corresponding locally solid absolute strong operator to…

math.NA2020★ 6 cited

Tikhonov regularization for polynomial approximation problems in Gauss quadrature points

Congpei An, Hao-Ning Wu

This paper is concerned with the introduction of Tikhonov regularization into least squares approximation scheme on by orthonormal polynomials, in order to handle noisy da…

math.AP2020

Stationary Cahn-Hilliard-Navier-Stokes equations for the diffuse interface model of compressible flows

Zhilei Liang, Dehua Wang

A system of partial differential equations for a diffusion interface model is considered for the stationary motion of two macroscopically immiscible, viscous Newtonian fluids in a…

cs.CL2020

Connecting Embeddings for Knowledge Graph Entity Typing

Yu Zhao, Anxiang Zhang, Ruobing Xie +2

Knowledge graph (KG) entity typing aims at inferring possible missing entity type instances in KG, which is a very significant but still under-explored subtask of knowledge graph c…

math.NA2020★ 61 cited

A preconditioning technique for an all-at-once system from Volterra subdiffusion equations with graded time steps

Yong-Liang Zhao, Xian-Ming Gu, Alexander Ostermann

Volterra subdiffusion problems with weakly singular kernel describe the dynamics of subdiffusion processes well.The graded scheme is often chosen to discretize such problems s…

physics.soc-ph2020★ 2 cited

Effects of heterogeneous self-protection awareness on resource-epidemic coevolution dynamics

Xiaolong Chen, Kai Gong, Ruijie Wang +2

Recent studies have demonstrated that the allocation of individual resources has a significant influence on the dynamics of epidemic spreading. In the real scenario, individuals ha…

math.ST2020

Learning rates for partially linear support vector machine in high dimensions

Yifan Xia, Yongchao Hou, Shaogao Lv

This paper analyzes a new regularized learning scheme for high dimensional partially linear support vector machine. The proposed approach consists of an empirical risk and the Lass…

stat.ME2020

Testing for unit roots based on sample autocovariances

Jinyuan Chang, Guanghui Cheng, Qiwei Yao

We propose a new unit-root test for a stationary null hypothesis against a unit-root alternative . Our approach is nonparametric as only assumes that the process c…

math.NA2020

Fast second-order implicit difference schemes for time distributed-order and Riesz space fractional diffusion-wave equations

Huan-Yan Jian, Ting-Zhu Huang, Xian-Ming Gu +2

In this paper, fast numerical methods are established for solving a class of time distributed-order and Riesz space fractional diffusion-wave equations. We derive new difference sc…

math.FA2020★ 3 cited

Vector lattices with a Hausdorff uo-Lebesgue topology

Yang Deng, Marcel de Jeu

We investigate the construction of a Hausdorff uo-Lebesgue topology on a vector lattice from a Hausdorff (o)-Lebesgue topology on an order dense ideal, and what the properties of t…

math.NA2020★ 36 cited

A note on parallel preconditioning for the all-at-once solution of Riesz fractional diffusion equations

Xian-Ming Gu, Yong-Liang Zhao, Xi-Le Zhao +2

The -step backwards difference formula (BDF) for solving the system of ODEs can result in a kind of all-at-once linear systems, which are solved via the parallel-in-time precond…

math.DS2020★ 1 cited

Compactness and index of ordinary central configurations for the curved n-body problem

Shuqiang Zhu

For the curved n-body problem, we show that the set of ordinary central configurations is away from most singular configurations in H^3, and away from a subset of singular configur…

physics.soc-ph2020★ 3 cited

Self-awareness based resource allocation strategy for containment of epidemic spreading

Xiaolong Chen, Quanhui Liu, Ruijie Wang +2

Resource support between individuals is of particular importance in controlling or mitigating epidemic spreading, especially during pandemics. Whereas there remains the question of…

math.NA2020★ 23 cited

Fast implicit difference schemes for time-space fractional diffusion equations with the integral fractional Laplacian

Xian-Ming Gu, Hai-Wei Sun, Yanzhi Zhang +1

In this paper, we develop two fast implicit difference schemes for solving a class of variable-coefficient time-space fractional diffusion equations with integral fractional Laplac…

math.NA2020★ 8 cited

An energy-based discontinuous Galerkin method for semilinear wave equations

Daniel Appelo, Thomas Hagstrom, Qi Wang +1

We generalize the energy-based discontinuous Galerkin method proposed in [SIAM J. Num. Anal., 53(6):2705-2726, 2015.] to second-order semilinear wave equations. A stability and con…