Nowadays, analysing data from different classes or over a temporal grid has attracted a great deal of interest. As a result, various multiple graphic…

We consider a description of the stochastic oscillations of the general relativistic accretion disks around compact astrophysical objects interacting…

In this paper, we consider the problem of computing a Wasserstein barycenter for a set of discrete probability distributions with finite supports, wh…

With the tremendous increase of the Internet traffic, achieving the best performance with limited resources is becoming an extremely urgent problem. …

The purpose of this paper is to show how a class of classical linear stochastic systems can be physically implemented using quantum optical component…

In this work, we present the development of a neuro-inspired approach for characterizing sensorimotor relations in robotic systems. The proposed meth…

In this paper, we consider the initial-boundary value problem for the time-dependent Maxwell--Schr\"{o}dinger equations in the Coulomb gauge. We firs…

Many interesting problems in machine learning are being revisited with new deep learning tools. For graph-based semisupervised learning, a recent imp…

In this paper, we show that the largest Laplacian H-eigenvalue of a $k$-uniform nontrivial hypergraph is strictly larger than the maximum degree when…

Hypergraph matching is a fundamental problem in computer vision. Mathematically speaking, it maximizes a polynomial objective function, subject to as…

In this paper, we show that the largest signless Laplacian H-eigenvalue of a connected $k$-uniform hypergraph $G$, where $k \ge 3$, reaches its upper…

We have proposed a Hierarchical Back Projection Network for image Super-Resolution on different up-scaling factors. Different from the previous SR study, we focus on feature extraction by conducting a HourGlass structure to learn the features in a b…

Deep learning based single image super-resolution methods use a large number of training datasets and have recently achieved great quality progress b…

The sum of ratios problem has a variety of important applications in economics and management science, but it is difficult to globally solve this pro…

In this paper, we proposed a two stage PMM algorithm to solve the square-root regression problems with nonconvex regularizations. We are able to achieve impressive computational efficiency for our algorithm by designing an innovative proximal majori…

In this paper, we consider high-dimensional nonconvex square-root-loss regression problems and introduce a proximal majorization-minimization (PMM) a…

We study a tripartite quantum system consisting of a coplanar-waveguide (CPW) resonator and a nanomechanical resonator (NAMR) connected by a flux qub…

We propose an interacting lattice gas model of structural glass characterized by particle distinguishability and site-particle-dependent random neare…

We derive a microscopic theory of glassy dynamics based on the transport of voids by micro-string motions, each of which involves particles arranged …

In this paper, we introduce a new class of nonnegative tensors --- strictly nonnegative tensors. A weakly irreducible nonnegative tensor is a strictl…

In this paper, we discuss the statistical properties of the $\ell_q$ optimization methods $(0<q\leq 1)$, including the $\ell_q$ minimization method a…

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