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Automated Segmentation of Cervical Nuclei in Pap Smear Images using Deformable Multi-path Ensemble ModelDec 03 2018Pap smear testing has been widely used for detecting cervical cancers based on the morphology properties of cell nuclei in microscopic image. An accurate nuclei segmentation could thus improve the success rate of cervical cancer screening. In this work, ... More

Designing wildlife crossing structures for ungulates in a desert landscape: A case study in ChinaMar 14 2019This paper reports on the design of wildlife crossing structures (WCSs) along a new expressway in China, which exemplifies the country's increasing efforts on wildlife protection in infrastructure projects. The expert knowledge and field surveys were ... More

Carboxyl Carbon Quantum Dots: a Novel Type of Environmental-Friendly Scale InhibitorAug 22 2018In this work, we demonstrate high inhibition efficiency of carboxyl carbon quantum dots (CCQDs) for the first time. The as-prepared CCQDs have excellent scale inhibition performance for calcium sulfate and barium sulfate. With static test of scale inhibition ... More

Number of general Jacobi quartic curves over finite fieldsJan 17 2010In this paper the number of $\bar{\mathbb{F}}_q$-isomorphism classes of general Jacobi quartic curves, i.e., the number of general Jacobi quartic curves with distinct $j$-invariants, over the finite field $\mathbb{F}_q$ is enumerated.

A mean value formula for elliptic curvesJul 04 2011It is proved in this paper that for any point on an elliptic curve, the mean value of x-coordinates of its n-division points is the same as its x-coordinate and that of y-coordinates of its n-division points is n times of its y-coordinate.

Unambiguous discrimination between mixed quantum states based on programmable quantum state discriminatorsMay 10 2007We discuss the problem of designing an unambiguous programmable discriminator for mixed quantum states. We prove that there does not exist such a universal unambiguous programmable discriminator for mixed quantum states that has two program registers ... More

On the isomorphism classes of Legendre elliptic curves over finite fieldsJan 17 2010Feb 26 2010In this paper the number of $\mathbb{F}_q$-isomorphism classes of Legendre elliptic curves over the finite fields $\mathbb{F}_q$ is enumerated.

Evaluating bird collision risk of a high-speed railway crossing the habitat of the crested ibis (Nipponia nippon) in Qinling Mountains, ChinaJul 10 2019Bird collisions with high-speed transport modes is a vital topic on vehicle safety and wildlife protection, especially when high-speed trains, with an average speed of 250km/h, have to run across the habitat of an endangered bird species. This paper evaluates ... More

Chirality-dependent electromagnetically induced transparency based on a double semi-periodic helix metastructureAug 31 2018A chiral metastructure composed of spatially separated double semi-periodic helices is proposed and investigated theoretically and experimentally in this Letter. Chirality-dependent electromagnetically induced transparency (EIT) and a slow light effect ... More

Pulsar Candidate Selection Using Ensemble Networks for FAST Drift-Scan SurveyMar 15 2019The Commensal Radio Astronomy Five-hundred-meter Aperture Spherical radio Telescope (FAST) Survey (CRAFTS) utilizes the novel drift-scan commensal survey mode of FAST and can generate billions of pulsar candidate signals. The human experts are not likely ... More

MLSEB: Edge Bundling using Moving Least Squares ApproximationSep 05 2017Sep 07 2017Edge bundling methods can effectively alleviate visual clutter and reveal high-level graph structures in large graph visualization. Researchers have devoted significant efforts to improve edge bundling according to different metrics. As the edge bundling ... More

Lambda and Anti-Lambda Hypernuclei in Relativistic Mean-field TheoryApr 14 2010May 03 2011Several aspects about $\Lambda$-hypernuclei in the relativistic mean field theory, including the effective $\Lambda$-nucleon coupling strengths based on the successful effective nucleon-nucleon interaction PK1, hypernuclear magnetic moment and $\bar\Lambda$-hypernuclei, ... More

On the Construction of Finite Oscillator DictionaryOct 14 2010A finite oscillator dictionary which has important applications in sequences designs and the compressive sensing was introduced by Gurevich, Hadani and Sochen. In this paper, we first revisit closed formulae of the finite split oscillator dictionary $\mathfrak{S}^s$ ... More

Domain Adaptation Extreme Learning Machines for Drift Compensation in E-nose SystemsMay 24 2015This paper addresses an important issue, known as sensor drift that behaves a nonlinear dynamic property in electronic nose (E-nose), from the viewpoint of machine learning. Traditional methods for drift compensation are laborious and costly due to the ... More

Gamma-Ray Burst Prompt Emission Light Curves and Power Density Spectra in the ICMART ModelDec 30 2013Feb 27 2014In this paper, we simulate the prompt emission light curves of gamma-ray bursts (GRBs) within the framework of the Internal-Collision-induced MAgnetic Reconnection and Turbulence (ICMART) model. This model applies to GRBs with a moderately-high magnetization ... More

Quantum optomechanical straight-twin engineOct 06 2016We propose a scheme to realize a quantum polariton heat engine in a hybrid microwave-opto-mechanical system. The engine transfers the heat obtained from the effective temperature difference between the microwave and optical cavity fields to the work extracted ... More

Imaging of locally rough surfaces from intensity-only far-field or near-field dataOct 19 2016This paper is concerned with a nonlinear imaging problem, which aims to reconstruct a locally perturbed, perfectly reflecting, infinite plane from intensity-only (or phaseless) far-field or near-field data. A recursive Newton iteration algorithm in frequencies ... More

Quantum teleportation and Birman-Murakami-Wenzl algebraJul 06 2016In this paper, we investigate the relationship of quantum teleportation in quantum information science and the Birman-Murakami-Wenzl (BMW) algebra in low-dimensional topology. For simplicity, we focus on the two spin-1/2 representation of the BMW algebra, ... More

Large-Scale Pedestrian Retrieval CompetitionMar 06 2019The Large-Scale Pedestrian Retrieval Competition (LSPRC) mainly focuses on person retrieval which is an important end application in intelligent vision system of surveillance. Person retrieval aims at searching the interested target with specific visual ... More

A note on the Hitchin-Thorpe inequality and Ricci flow on 4-manifoldsMar 14 2009Mar 06 2011In this short paper, we prove a Hitchin-Thorpe type inequality for closed 4-manifolds with non-positive Yamabe invariant, and admitting long time solutions of the normalized Ricci flow equation with bounded scalar curvature.

Vapor Compression Cycle Control for Automotive Air Conditioning Systems with a Linear Parameter Varying ApproachJan 13 2017Nov 29 2018This paper investigates an output tracking problem for the vapor compression cycle in automotive Air Conditioning (A/C) systems using Linear Parameter Varying (LPV) techniques. Stemming from a recently developed first-principle A/C model, Jacobian linearization ... More

Control of Spin-Exchange Interaction between Alkali-Earth Atoms via Confinement-Induced Resonances in a Quasi 1+0 Dimensional SystemApr 10 2018Aug 22 2018A nuclear-spin exchange interaction exists between two ultracold fermionic alkali-earth (like) atoms in the electronic $^{1}{\rm S}_{0}$ state ($g$-state) and $^{3}{\rm P}_{0}$ state ($e$-state), and is an essential ingredient for the quantum simulation ... More

Improved stability for analytic quasi-convex nearly integrable systems and optimal speed of Arnold diffusionJan 21 2017We improve the global Nekhoroshev stability for analytic quasi-convex nearly integrable Hamiltonian systems. The new stability result is optimal, as it matches the fastest speed of Arnold diffusion.

Observability of Boolean control networks: A unified approach based on the theories of finite automataMay 27 2014Dec 09 2015The problem on how to determine the observability of Boolean control networks (BCNs) has been open for five years already. In this paper, we propose a unified approach to determine all the four types of observability of BCNs in the literature. We define ... More

GHZ transform (I): Bell transform and quantum teleportationJan 27 2014Jul 14 2016It is well-known that maximally entangled states such as the Greenberger-Horne-Zeilinger (GHZ) states, with the Bell states as the simplest examples, are widely exploited in quantum information and computation. We study the application of such maximally ... More

SVM and ELM: Who Wins? Object Recognition with Deep Convolutional Features from ImageNetJun 08 2015Deep learning with a convolutional neural network (CNN) has been proved to be very effective in feature extraction and representation of images. For image classification problems, this work aim at finding which classifier is more competitive based on ... More

Approaching the Cramer-Rao Bound in Weak Lensing with PDF SymmetrizationJun 30 2016Weak lensing statistics is typically measured as weighted sum of shear estimators or their products (shear-shear correlation). The weighting schemes are designed in the hope of minimizing the statistical error without introducing systematic errors. It ... More

A novel integral equation for scattering by locally rough surfaces and application to the inverse problemFeb 01 2013This paper is concerned with the direct and inverse acoustic or electromagnetic scattering problems by a locally perturbed, perfectly reflecting, infinite plane (which is called a locally rough surface in this paper). We propose a novel integral equation ... More

Pointwise second-order necessary conditions for stochastic optimal controls, Part I: The case of convex control constraintSep 09 2014This paper is the first part of our series work to establish pointwise second-order necessary conditions for stochastic optimal controls. In this part, both drift and diffusion terms may contain the control variable but the control region is assumed to ... More

Symmetry analysis for time-fractional convection-diffusion equationDec 04 2015Dec 08 2015The time-fractional convection-diffusion equation is performed by Lie symmetry analysis method which involves the Riemann-Liouville time-fractional derivative of the order $\alpha\in(0,2)$. In eight cases, the symmetries are obtained and similarity reductions ... More

The Discovery of Mutated Driver Pathways in Cancer: Models and AlgorithmsApr 05 2016The pathogenesis of cancer in human is still poorly understood. With the rapid development of high-throughput sequencing technologies, huge volumes of cancer genomics data have been generated. Deciphering those data poses great opportunities and challenges ... More

Recovering scattering obstacles by multi-frequency phaseless far-field dataOct 19 2016It is well known that the modulus of the far-field pattern (or phaseless far-field pattern) is invariant under translations of the scattering obstacle if only one plane wave is used as the incident field, so the shape but not the location of the obstacle ... More

The continuity method on Fano bundlesDec 05 2016We prove that the continuity method on a Fano bundle starting from a suitable K\"ahler metric converges to a K\"ahler metric on the base in Gromov-Hausdorff topology.

On Hom-Lie antialgebraJan 10 2019In this paper, we introduced the notion of Hom-Lie antialgebras.The representations and cohomology theory of Hom-Lie antialgebras are investigated. We prove that the equivalent classes of abelian extensions of Hom-Lie antialgeras are in one-to-one correspondence ... More

Gravitational clustering of cosmic relic neutrinos in the Milky WayDec 04 2017May 09 2018The standard model of cosmology predicts the existence of cosmic neutrino background in the present Universe. To detect cosmic relic neutrinos in the vicinity of the Earth, it is necessary to evaluate the gravitational clustering effects on relic neutrinos ... More

Subalgebras and finitistic dimensions of Artin algebrasJul 21 2011Let $A$ be an Artin algebra. We investigate subalgebras of $A$ with certain conditions and obtain some classes of algebras whose finitistic dimensions are finite.

A potential scenario for the Majorana neutrino detection at future lepton collidersMay 24 2018Oct 21 2018The existence of Majorana neutrinos must lead to lepton-number violating processes, and the Majorana nature of neutrinos can only be experimentally verified via lepton-number violating processes. We propose a new approach to search for Majorana neutrinos ... More

EmbedJoin: Efficient Edit Similarity Joins via EmbeddingsFeb 01 2017Oct 06 2017We study the problem of edit similarity joins, where given a set of strings and a threshold value $K$, we want to output all pairs of strings whose edit distances are at most $K$. Edit similarity join is a fundamental problem in data cleaning/integration, ... More

Confinement-induced Resonances in Quasi-one-dimensional Traps with Transverse AnisotropyDec 23 2010We study atom-atom scattering in quasi-one-dimensional geometries with transverse anisotropy. By assuming an s-wave pseudo-potential of contact interaction, we show that the system would exhibit a single confinement-induced resonance, where the scattering ... More

A New Exact Worst-Case Linear Convergence Rate of the Proximal Gradient MethodFeb 25 2019Mar 12 2019In this note, we establish a new exact worst-case linear convergence rate of the proximal gradient method in terms of the proximal gradient norm, which complements the recent results in [1] and implies a refined descent lemma.descent lemma. Based on the ... More

Quantum coin flipping secure against channel noisesMay 27 2015So far, most of existed single-shot quantum coin flipping(QCF) protocols failed in a noisy quantum channel. Here, we present a nested-structured framework that makes it possible to achieve partially noise-tolerant QCF, due to that there is a trade-off ... More

Pointwise second-order necessary conditions for stochastic optimal controls, Part II: The general caseSep 26 2015Oct 19 2015This paper is the second part of our series of work to establish pointwise second-order necessary conditions for stochastic optimal controls. In this part, we consider the general cases, i.e., the control region is allowed to be nonconvex, and the control ... More

Cusp-shaped structure of a jet observed by IRIS and SDONov 15 2016On 29 August 2014, the trigger and evolution of a cusp-shaped jet were captured in detail at 1330 {\AA} by the Interface Region Imaging Spectrograph.At first, two neighboring mini-prominences arose in turn from low solar atmosphere and collided with a ... More

Pixel-wise Regression: 3D Hand Pose Estimation via Spatial-form Representation and Differentiable DecoderMay 06 20193D Hand pose estimation from a single depth image is an essential topic in computer vision and human-computer interaction. Although the rising of deep learning method boosts the accuracy a lot, the problem is still hard to solve due to the complex structure ... More

Crossed modules for Hom-Lie antialgebrasMar 21 2019In this paper, we introduced the concept of crossed module for Hom-Lie antialgebras. It is proved that the category of crossed modules for Hom-Lie antialgebras and the category of $Cat^1$-Hom-Lie antialgebras are equivalent to each other. The relationship ... More

Repeating FRB 121102 : Eight-year Fermi-LAT Upper Limits and ImplicationsMay 11 2017May 29 2017The repeating fast radio burst (FRB) source that produced FRB 121102 was recently localized in a star forming galaxy at $z=0.193$, which is associated with an extended radio source at the burst location. One possibility is that the repeating FRBs are ... More

Trajectory Design for Cellular-Connected UAV Under Outage Duration ConstraintJan 14 2019Mar 14 2019In this paper, we study the trajectory design for a cellular-connected unmanned aerial vehicle (UAV) with given initial and final locations, while communicating with the ground base stations (GBSs) along its flight. We consider delay-limited communications ... More

Minimality of a Kind of Pseudo-Umbilical Totally Real Submanifolds in Non-Flat Complex Space FormsDec 27 2015In this paper, by studying the position of umbilical normal vectors in the normal bundle, we prove that pseudo-umbilical totally real submanifolds with flat normal connection in non-flat complex space forms must be minimal.

Computing Skylines on Distributed DataNov 01 2016In this paper we study skyline queries in the distributed computational model, where we have $s$ remote sites and a central coordinator (the query node); each site holds a piece of data, and the coordinator wants to compute the skyline of the union of ... More

An accelerated proximal iterative hard thresholding method for $\ell_0$ minimizationSep 06 2017Jan 02 2018In this paper, we consider a non-convex problem which is the sum of $\ell_0$-norm and a convex smooth function under box constraint. We propose one proximal iterative hard thresholding type method with extrapolation step used for acceleration and establish ... More

Sequential Sampling for CGMY Processes via Decomposition of their Time ChangesAug 01 2017Aug 22 2018We present a new and easy-to-implement sequential sampling method for CGMY processes with either finite or infinite variation, exploiting the time change representation of the CGMY model and a decomposition of its time change. We find that the time change ... More

Crossed modules for Hom-Lie antialgebrasMar 21 2019Apr 03 2019In this paper, we introduced the concept of crossed module for Hom-Lie antialgebras. It is proved that the category of crossed modules for Hom-Lie antialgebras and the category of $Cat^1$-Hom-Lie antialgebras are equivalent to each other. The relationship ... More

Renormalized solutions for the fractional p(x)-Laplacian equation with L^1 dataAug 15 2017In this paper, we prove the existence and uniqueness of nonnegative renormalized solutions for the fractional p(x)-Laplacian problem with L1 data. Our results are new even in the constant exponent fractional p-Laplacian equation case.

Global well-posedness of 3-D inhomogeneous Navier-Stokes equations with ill-prepared initial dataSep 05 2014In this paper, we investigate the global well-posedness of 3-D incompressible inhomogeneous Navier-Stokes equations with ill-prepared large initial data which are slowly varying in one space variable, that is, initial data of the form $\bigl(1+\e^{\be}a_0(x_{\rm ... More

Long time well-posdness of Prandtl system with small and analytic initial dataSep 05 2014In this paper, we investigate the long time existence and uniqueness of small solution to $d,$ for $d=2,3,$ dimensional Prandtl system with small initial data which is analytic in the horizontal variables. In particular, we prove that $d$ dimensional ... More

Disjunctive Logic Programs versus Normal Logic ProgramsApr 02 2013This paper focuses on the expressive power of disjunctive and normal logic programs under the stable model semantics over finite, infinite, or arbitrary structures. A translation from disjunctive logic programs into normal logic programs is proposed and ... More

Hierarchical Bayesian Models with Factorization for Content-Based RecommendationDec 28 2014Most existing content-based filtering approaches learn user profiles independently without capturing the similarity among users. Bayesian hierarchical models \cite{Zhang:Efficient} learn user profiles jointly and have the advantage of being able to borrow ... More

Expressiveness of Logic Programs under General Stable Model SemanticsDec 02 2014The stable model semantics had been recently generalized to non-Herbrand structures by several works, which provides a unified framework and solid logical foundations for answer set programming. This paper focuses on the expressiveness of normal and disjunctive ... More

An Ordinal Bargaining Solution with Fixed-Point PropertyJan 15 2014Shapleys impossibility result indicates that the two-person bargaining problem has no non-trivial ordinal solution with the traditional game-theoretic bargaining model. Although the result is no longer true for bargaining problems with more than two agents, ... More

Rectifier Neural Network with a Dual-Pathway Architecture for Image DenoisingSep 10 2016Recently deep neural networks based on tanh activation function have shown their impressive power in image denoising. However, much training time is needed because of their very large size. In this letter, we propose a dual-pathway rectifier neural network ... More

The continuity method on minimal elliptic Kähler surfacesOct 25 2016We prove that, on a minimal elliptic K\"ahler surface of Kodaira dimension one, the continuity method introduced by La Nave and Tian in \cite{LT} starting from any initial K\"{a}hler metric converges in Gromov-Hausdorff topology to the metric completion ... More

Trajectory Optimization for Cellular-Connected UAV Under Outage Duration ConstraintJan 14 2019Enabling cellular access for unmanned aerial vehicles (UAVs) is a practically appealing solution to realize their high-quality communications with the ground for ensuring safe and efficient operations. In this paper, we study the trajectory design for ... More

A New Exact Worst-Case Linear Convergence Rate of the Proximal Gradient MethodFeb 25 2019In this note, we establish a new exact worst-case linear convergence rate of the proximal gradient method in terms of the proximal gradient norm, which complements the recent results in [1] and implies a refined descent lemma.descent lemma. Based on the ... More

MinJoin: Efficient Edit Similarity Joins via Local Hash MinimumsOct 20 2018In this paper we study edit similarity joins, in which we are given a set of strings and a threshold parameter K, and asked to find all pairs of strings whose edit distance are at most K. Edit similarity joins is a fundamental problem in query processing, ... More

An FFT-based algorithm for efficient computation of Green's functions for the Helmholtz and Maxwell's equations in periodic domainsJan 18 2018May 24 2018The integral equation method is widely used in numerical simulations of 2D/3D acoustic and electromagnetic scattering problems, which needs a large number of values of the Green's functions. A significant topic is the scattering problems in periodic domains, ... More

Radio Map Based Path Planning for Cellular-Connected UAVMay 13 2019In this paper, we study the path planning for a cellular-connected unmanned aerial vehicle (UAV) to minimize its flying distance from given initial to final locations, while ensuring a target link quality in terms of the large-scale channel gain with ... More

Inequalities for Casorati curvatures of submanifolds in real space formsAug 21 2014Nov 11 2016By using T. Oprea's optimization methods on submanifolds, we give another proof of the inequalities relating the normalized $\delta-$Casorati curvature $\hat{\delta}_c(n-1)$ for submanifolds in real space forms. Also, inequalities relating the normalized ... More

Repetitive cluster-tilted algebrasFeb 18 2009Jan 29 2013Let $H$ be a finite dimensional hereditary algebra over an algebraically closed field $k$ and $\mathscr{C}_{F^m}$ be the repetitive cluster category of $H$ with $m\geq 1$. We investigate the properties of cluster tilting objects in $\mathscr{C}_{F^m}$ ... More

Scenario Forecasting of Residential Load ProfilesJun 18 2019Load forecasting is an integral part of power system operations and planning. Due to the increasing penetration of rooftop PV, electric vehicles and demand response applications, forecasting the load of individual and a small group of households is becoming ... More

Bound states for logarithmic Schrodinger equations with potentials unbounded belowMay 16 2019We study the existence and concentration behavior of the bound states for the following logarithmic Schr\"odinger equation \begin{equation*} \begin{cases} -\varepsilon^2\Delta v+V(x)v=v\log v^2 \ \ &\text {in}\ \ \mathbb R^N,\\ v(x)\to 0 \ \ &\text {as}\ ... More

Tucker Tensor Decomposition on FPGAJun 28 2019Tensor computation has emerged as a powerful mathematical tool for solving high-dimensional and/or extreme-scale problems in science and engineering. The last decade has witnessed tremendous advancement of tensor computation and its applications in machine ... More

ABS: an Analytical method of Blind Separation of CMB from foregroundsAug 12 2016Jan 08 2019Extracting CMB B-mode polarization from complicated foregrounds is a challenging task in searching for inflationary gravitational waves. We propose the ABS method as a blind and analytical solution to this problem. It applies to the measured cross bandpower ... More

Interatomic collisions in two-dimensional and quasi-two-dimensional confinements with spin-orbit couplingMar 03 2012Oct 28 2012We investigate the low-energy scattering and bound states of two two-component fermionic atoms in pure two-dimensional (2D) and quasi-2D confinements with Rashba spin-orbit coupling (SOC). We find that the SOC qualitatively changes the behavior of the ... More

Higgs bundles over non-compact Gauduchon manifoldsApr 24 2018In this paper, we prove a generalized Donaldson-Uhlenbeck-Yau theorem on Higgs bundles over a class of non-compact Gauduchon manifolds.

Chaotic transitions of optomechanical resonator modified by the quadratic couplingFeb 06 2016A parametric modification of the dynamical transition from steady-state to limit circles and to chaos by the quadratic coupling in optomechanical system is investigated. Under a weak pumping field, the mechanical resonator damps to a steady state with ... More

Photospheric Magnetic Free Energy Density of Solar Active RegionsAug 28 2016Sep 01 2016We present the photospheric energy density of magnetic fields in two solar active regions inferred from observational vector magnetograms, and compare it with the possible different defined energy parameters of magnetic fields in the photosphere. We analyze ... More

Helicity Observation of Weak and Strong FieldsJun 09 2006We report in this letter our analysis of a large sample of photospheric vector magnetic field measurements. Our sample consists of 17200 vector magnetograms obtained from January 1997 to August 2004 by Huairou Solar Observing Station of the Chinese National ... More

The curve cone of almost complex 4-manifoldsJan 27 2015Jan 25 2016In this paper, we prove the cone theorem for any almost complex 4-manifold which is tamed by a symplectic form. For small rational surfaces and minimal ruled surfaces, we study the configuration of negative curves. As an application, we prove the Nakai-Moishezon ... More

Charge Modulations in the Superconducting State of the CupratesOct 17 2002Motivated by the recent scanning tunneling microscopy (STM) and neutron scattering experiments, we investigate various charge density wave orders coexisting with superconductivity in the cuprate superconductors. The explicit expressions of the local density ... More

In-gap Bound States Induced by Interstitial Fe Impurities in Iron-based SuperconductorsAug 04 2014Based on a two-orbit four-band tight binding model, we investigate the low-lying electronic states around the interstitial excess Fe ions in the iron-based superconductors by using T-matrix approach. It is shown that the local density of states at the ... More

General Parton Distributions and Counting of Helicity-Flip Nucleon Form FactorsAug 26 2004We give a brief overview of the General Parton Distributions(GPDs), including their properties, connections to conventional quantities, and relationships to physical observables. We also perform a systematic analysis on the non-forward matrix elements ... More

Virtual Compton Scattering at High EnergyDec 28 1999In this dissertation we develop a theoretical framework in the context of perturbative QuantumChromoDynamics (pQCD) for studying non-forward scattering processes. In particular, we investigate a non-forward unequal mass virtual Compton scattering amplitude ... More

Braving the Challenges of Being Small--The Unique Physics Program at Manhattanville CollegeAug 26 2004We present the formulation and development of the unique physics program at Manhattanville College. By addressing challenges faced by small physics departments in liberal arts colleges, such as the lack of critical mass, lack of significant funding, and ... More

Basis for the linear space of matrices under equivalenceAug 04 2016The semi-tensor product (STP) of matrices which was proposed by Daizhan Cheng in 2001 [2], is a natural generalization of the standard matrix product and well defined at every two finite-dimensional matrices. In 2016, Cheng proposed a new concept of semi-tensor ... More

Cumulative Sum Algorithm for Detecting SYN Flooding AttacksDec 20 2012SYN flooding attacks generate enormous packets by a large number of agents and can easily exhaust the computing and communication resources of a victim within a short period of time. In this paper, we propose a lightweight method for detecting SYN flooding ... More

Degeneration of Hitchin representations along internal sequencesSep 07 2014Dec 17 2015Using the work of Bonahon-Dreyer and Fock-Goncharov, one can construct a real-analytic parameterization for the PSL(n,R) Hitchin component of a surface S, that is explicitly analogous to the Fenchel-Nielsen coordinates on the Teichmuller space of S. Given ... More

Delay-aware data transmission of multi-carrier communications in the presence of renewable energyJul 06 2015In the paper, we investigate the delay-aware data transmission in renewable energy aided multi-carrier system. Besides utilizing the local renewables, the transmitter can also purchase grid power. By scheduling the amount of transmitted data (The data ... More

Material Made of Artificial Molecules and Its Refraction Behavior under MicrowaveSep 25 2014Focal-plane imaging with microwave and millimeter wave has many potential applications. The bad resolution is a main shortcoming of this technique at present. In this paper, influence of frequency of electromagnetic wave on the refractive energy is analyzed. ... More

A note on the non-commutative arithmetic-geometric mean inequalityNov 18 2014Nov 25 2014This note proves the following inequality: if $n=3k$ for some positive integer $k$, then for any $n$ positive definite matrices $A_1,A_2,\cdots,A_n$, \begin{equation} \frac{1}{n^3}\Big\|\sum_{j_1,j_2,j_3=1}^{n}A_{j_1}A_{j_2}A_{j_3}\Big\| \geq \frac{(n-3)!}{n!} ... More

On Tree Based Phylogenetic NetworksSep 05 2015Sep 08 2015A large class of phylogenetic networks can be obtained from trees by the addition of horizontal edges between the tree edges. These networks are called tree based networks. Reticulation-visible networks and child-sibling networks are all tree based. In ... More

A note on the growth of regularity with respect to FrobeniusNov 30 2015Let $R=k[x_1,\dots,x_n]/I$ be a standard graded $k$-algebra where $k$ is a field of prime characteristic and let $J$ be a homogeneous ideal in $R$. Denote $(x_1,\dots,x_n)$ by $\mathfrak{m}$. We prove that there is a constant $C$ (independent of $e$) ... More

Shock of three-state model for intracellular transport of kinesin KIF1AMay 16 2011Recently, a three-state model is presented to describe the intracellular traffic of unconventional (single-headed) kinesin KIF1A [Phys. Rev. Lett. {\bf 95}, 118101 (2005)], in which each motor can bind strongly or weakly to its microtubule track, and ... More

New approach to Monte Carlo calculation of buckling of supercoiled DNA loopsSep 11 2000The short supercoiled circular DNA molecules are shown to be glassy systems and canonical Metropolis Monte Carlo simulations of the systems tend to get stuck in local metastable energy basins. A novel Monte Carlo algorithm is developed to alleviate the ... More

Interactive Retrieval Based on Wikipedia ConceptsDec 29 2014This paper presents a new user feedback mechanism based on Wikipedia concepts for interactive retrieval. In this mechanism, the system presents to the user a group of Wikipedia concepts, and the user can choose those relevant to refine his/her query. ... More

Simple transitive $2$-representations and Drinfeld center for some finitary $2$-categoriesJun 08 2015Aug 24 2015We classify all simple transitive $2$-representations for two classes of finitary $2$-categories associated with tree path algebras and also for one class of fiat $2$-categories associated with truncated polynomial rings. Additionally, we compute the ... More

Duflo involutions for 2-categories associated to tree quiversJan 13 2015Motivated by the definition of Duflo involution for fiat $2$-categories, we define certain analogues of Duflo involution for arbitrary finitary $2$-categories and show that such Duflo involutions exist for two classes of finitary $2$-categories associated ... More

Remarks on symplectic mean curvature flows in Kähler surfaces with positive holomorphic sectional curvaturesJul 24 2015Aug 18 2015In this paper, we mainly study the mean curvature flow in K\"ahler surfaces with positive holomorphic sectional curvatures. First, we prove that if the ratio $\lambda$ of the maximum and the minimum of the holomorphic sectional curvatures $< 2$, then ... More

Mixed spectral types for the one frequency discrete quasi-periodic Schrödinger operatorAug 12 2015Aug 13 2015We consider a family of one frequency discrete analytic quasi-periodic Schr\"odinger operators which appear in [Bjer]. We show that this family provides an example of coexistence of absolutely continuous and point spectrum for some parameters as well ... More

Contraction of Ore Ideals with ApplicationsNov 25 2015Jan 29 2016Ore operators form a common algebraic abstraction of linear ordinary differential and recurrence equations. Given an Ore operator $L$ with polynomial coefficients in $x$, it generates a left ideal $I$ in the Ore algebra over the field $\mathbf{k}(x)$ ... More

Influence of Magnetic Field Decay on Electron Capture in MagnetarsSep 15 2013The de-excited energy of electron capture (EC) induced by magnetic field decay may be a new source for heating magnetar crust, so we do a quantitative calculation on the EC process near the outer crust and analyze their influence on persistent X-ray radiation ... More