output
20082025
most citedSolving Optimization Problems through Fully Convolutional Networks: an Application to the Travelling Salesman Problem

24 citations

19 papers

quant-ph2025

Bargmann invariants of Gaussian states

Jianwei Xu

Given a set of ordered quantum states, described by density operators , the Bargmann invariant of is defined as tr(…

quant-ph2024

Hermitian Kirkwood-Dirac real operators for discrete Fourier transformations

Jianwei Xu

The Kirkwood-Dirac (KD) distribution is a quantum state representation that relies on two chosen fixed orthonormal bases, or alternatively, on the transition matrix of these two ba…

cs.CV2024★ 16 cited

AdaSemiCD: An Adaptive Semi-Supervised Change Detection Method Based on Pseudo-Label Evaluation

Ran Lingyan, Wen Dongcheng, Zhuo Tao +3

Change Detection (CD) is an essential field in remote sensing, with a primary focus on identifying areas of change in bi-temporal image pairs captured at varying intervals of the s…

cs.CV2023

ReBaR: Reference-Based Reasoning for Robust Pose Estimation from Monocular Images

Yongkang Cheng, Mingjiang Liang, Jifeng Ning +3

R}easoning for Robust Human Pose and Shape Estimation), designed to estimate human body shape and pose from single-view images. ReBaR effectively addresses the challenges of occlus…

hep-th2021★ 1 cited

Holographic anomaly

Zhao-Long Wang, Jie Guo, Yi Yan

In the gauge theory formalism of AdS gravity established in arXiv:1811.05286, the dynamics of bulk gravity emerges from the vanishing of the boundary covariant anomaly fo…

cs.LG2019★ 24 cited

Solving Optimization Problems through Fully Convolutional Networks: an Application to the Travelling Salesman Problem

Zhengxuan Ling, Xinyu Tao, Yu Zhang +1

In the new wave of artificial intelligence, deep learning is impacting various industries. As a closely related area, optimization algorithms greatly contribute to the development…

math.CA2018

On Uniform Approximations of Normal Distributions By Jacobi Theta Functions

Ruiming Zhang

In this short note we study uniform approximations to the normal distributions by Jacobi theta functions. We shall show that scaled theta functions approach to a normal distributio…

physics.comp-ph2018

Driving carbon nanotube to rotate by diamond wedges at room temperature

Jiao Shi, Aiqin Wang, Kun Cai

A rotary nanomotor made of carbon nanostructures is introduced here. Through a rotationally symmetrical layout of diamond wedges (or needles) outside of a carbon nanotube and with…

math.CA2016★ 4 cited

A Lauricella hypergeometric series over finite fields

Bing He

In this paper we introduce a finite field analogue of a Lauricella hypergeometric series. An integral formula for the Lauricella hypergeometric series and its finite field analogue…

math.NT2016

An Appell series over finite fields

Bing He, Long Li, Ruiming Zhang

In this paper we present a finite field analogue for one of the Appell series. We shall derive its transformations, reduction formulas as well as generating functions.

math.CA2016

On zeros of some entire functions

Bing He

Let \begin{equation*} A_{q}^{(α)}(a;z) = \sum_{k=0}^{\infty} \frac{(a;q)_{k} q^{αk^2} z^k} {(q;q)_{k}}, \end{equation*} where In a paper of Ruiming Zhang, he asked un…

math.CA2016

On Certain Positive Semidefinite Matrices of Special Functions

Ruiming Zhang

Special functions are often defined as a Fourier or Laplace transform of a positive measure, and the positivity of the measure manifests as positive definiteness of certain matrice…

math.AP2015★ 1 cited

Well-posedness and Gevrey Analyticity of the Generalized Keller-Segel System in Critical Besov Spaces

Jihong Zhao

In this paper, we study the Cauchy problem for the generalized Keller-Segel system with the cell diffusion being ruled by fractional diffusion: \begin{equation*} \begin{cases} \par…

math.CA2015★ 2 cited

-Bessel Functions and Rogers-Ramanujan Type Identities

Mourad E. H. Ismail, Ruiming Zhang

We evaluate -Bessel functions at an infinite sequence of points and introduce a generalization of the Ramanujan function and give an extension of the -version of the Rogers-R…

math.AP2015

BKM's criterion for the 3D nematic liquid crystal flows via two velocity components and molecular orientations

Jihong Zhao

In this paper we provide a sufficient condition, in terms of the horizontal gradient of two horizontal velocity components and the gradient of liquid crystal molecular orientation…

physics.flu-dyn2013

Direct solutions for normal depths in curved irrigation canals

X. Y. Zhang, L. Wu

The normal depth is an important hydraulic element for canal design, operation and management. Curved irrigation canals including parabola, U-shaped and catenary canals have excell…

math.AP2012★ 2 cited

A Beale-Kato-Majda Blow-up Criterion for a Hydrodynamic System Modeling Vesicle and Fluid Interactions

Jihong Zhao

In this paper, we establish an analog of the Beale-Kato-Majda type criterion for singularities of smooth solutions of a hydrodynamic system modeling vesicle and fluid interactions.…

physics.bio-ph2011

A new cooperation mechanism of kinesin motors when extracting membrane tube

Ziqing Wang, Ming Li

Membrane tubes are important elements for living cells to organize many functions. Experiments have found that membrane tube can be extracted from giant lipid vesicles by a group o…

math.CA2008

On Zeros of Fourier Transforms

Ruiming Zhang

In this work we verify the sufficiency of a Jensen's necessary and sufficient condition for a class of genus 0 or 1 entire functions to have only real zeros. They are Fourier trans…