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Simplification of protein representation from the contact potentials between residuesOct 19 2000Based on the concept of energy landscape a picture of the mismatch between the reduced interaction matrix of residues and the matrix of statistical contact potentials is presented. For the Miyazawa and Jernigan (MJ) matrix, rational groupings of 20 kinds ... More

Oseba: Optimization for Selective Bulk Analysis in Big Data ProcessingJul 12 2017Selective bulk analyses, such as statistical learning on temporal/spatial data, are fundamental to a wide range of contemporary data analysis. However, with the increasingly larger data-sets, such as weather data and marketing transactions, the data organization/access ... More

Modeling study on the validity of a possibly simplified representation of proteinsJun 23 2000The folding characteristics of sequences reduced with a possibly simplified representation of five types of residues are shown to be similar to their original ones with the natural set of residues (20 types or 20 letters). The reduced sequences have a ... More

Character-level Convolutional Network for Text Classification Applied to Chinese CorpusNov 14 2016Nov 15 2016This article provides an interesting exploration of character-level convolutional neural network solving Chinese corpus text classification problem. We constructed a large-scale Chinese language dataset, and the result shows that character-level convolutional ... More

Double symbolic joint entropy in nonlinear dynamic complexity analysisFeb 03 2018Symbolizations, the base of symbolic dynamic analysis, are classified as global static and local dynamic approaches which are combined by joint entropy in our works for nonlinear dynamic complexity analysis. Two global static methods, symbolic transformations ... More

On a parameter-dependent symbolic entropy in nonlinear dynamics complexity detectionJan 24 2018Symbolization is prerequisite for symbolic time series analysis which is important in nonlinear dynamic complexity analysis. Shannon entropy for a parameter-dependent four-symbols transformation is analyzed and its complexity detection is validated in ... More

Energy conditions in $f(R,L_{m})$ gravityDec 19 2012Dec 20 2012In order to constrain $f(R,L_{m})$ gravity from theoretical aspects, its energy conditions are derived in this paper. These energy conditions given by us are quite general and can be degenerated to the well-known energy conditions in General Relativity ... More

Cross-intersecting families and primitivity of symmetric systemsJul 06 2010Let $X$ be a finite set and $\mathfrak p\subseteq 2^X$, the power set of $X$, satisfying three conditions: (a) $\mathfrak p$ is an ideal in $2^X$, that is, if $A\in \mathfrak p$ and $B\subset A$, then $B\in \mathfrak p$; (b) For $A\in 2^X$ with $|A|\geq ... More

The rate of convergence of new Lax-Oleinik type operators for time-periodic positive definite Lagrangian systemsSep 15 2011Assume that the Aubry set of the time-periodic positive definite Lagrangian $L$ consists of one hyperbolic 1-periodic orbit. We provide an upper bound estimate of the rate of convergence of the family of new Lax-Oleinik type operators associated with ... More

A new kind of Lax-Oleinik type operator with parameters for time-periodic positive definite Lagrangian systemsNov 10 2010Dec 09 2010In this paper we introduce a new kind of Lax-Oleinik type operator with parameters associated with positive definite Lagrangian systems for both the time-periodic case and the time-independent case. On one hand, the new family of Lax-Oleinik type operators ... More

A construction of pooling designs with surprisingly high degree of error correctionMay 13 2011It is well-known that many famous pooling designs are constructed from mathematical structures by the "containment matrix" method. In this paper, we propose another method and obtain a family of pooling designs with surprisingly high degree of error correction ... More

Non-commutative Discretize-then-Optimize Algorithms for Elliptic PDE-Constrained Optimal Control ProblemsJun 23 2017Aug 01 2018In this paper, we analyze the convergence of several discretize-then-optimize algorithms, based on either a second-order or a fourth-order finite difference discretization, for solving elliptic PDE-constrained optimization or optimal control problems. ... More

Sequential Selection of Correlated Ads by POMDPsJul 11 2013Online advertising has become a key source of revenue for both web search engines and online publishers. For them, the ability of allocating right ads to right webpages is critical because any mismatched ads would not only harm web users' satisfactions ... More

Efficient Time Domain Decomposition Algorithms for Parabolic PDE-Constrained Optimization ProblemsDec 29 2016Sep 27 2017Optimization with time-dependent partial differential equations (PDEs) as constraints {appears} in many science and engineering applications. The associated first-order necessary optimality system consists of one forward and one backward time-dependent ... More

Fast Graph Construction Using Auction AlgorithmOct 16 2012In practical machine learning systems, graph based data representation has been widely used in various learning paradigms, ranging from unsupervised clustering to supervised classification. Besides those applications with natural graph or network structure ... More

Differentially Private Neighborhood-based Recommender SystemsJan 09 2017Mar 10 2017Privacy issues of recommender systems have become a hot topic for the society as such systems are appearing in every corner of our life. In contrast to the fact that many secure multi-party computation protocols have been proposed to prevent information ... More

An adaptive fast Gauss transform in two dimensionsDec 01 2017A variety of problems in computational physics and engineering require the convolution of the heat kernel (a Gaussian) with either discrete sources, densities supported on boundaries, or continuous volume distributions. We present a unified fast Gauss ... More

A lattice framework for pricing display advertisement options with the stochastic volatility underlying modelSep 02 2014Dec 09 2015Advertisement (abbreviated ad) options are a recent development in online advertising. Simply, an ad option is a first look contract in which a publisher or search engine grants an advertiser a right but not obligation to enter into transactions to purchase ... More

Tracy-Widom limit for the largest eigenvalue of high-dimensional covariance matrices in elliptical distributionsJan 16 2019Let $X$ be an $M\times N$ random matrices consisting of independent $M$-variate elliptically distributed column vectors $\mathbf{x}_{1},\dots,\mathbf{x}_{N}$ with general population covariance matrix $\Sigma$. In the literature, the quantity $XX^{*}$ ... More

Confinement Admits Chiral Symmetry Breaking via BagApr 07 2018In this paper, it is pointed out for the first time that the linear effective potential between quarks is intrinsically relating to the bag model while concerning the asymptotically-free nature of colours. Based on the relationship we employ the symmetry ... More

Differential symbolic entropy in nonlinear dynamics complexity analysisJan 24 2018Dec 04 2018Differential symbolic entropy, a measure for nonlinear dynamics complexity, is proposed in our contribution. With flexible controlling parameter, the chaotic deterministic measure takes advantage of local nonlinear dynamical information among three adjacent ... More

Weak KAM theory for general Hamilton-Jacobi equations III: the variational principle under Osgood conditionsAug 17 2014We consider the following evolutionary Hamilton-Jacobi equation with initial condition: \begin{equation*} \begin{cases} \partial_tu(x,t)+H(x,u(x,t),\partial_xu(x,t))=0,\\ u(x,0)=\phi(x), \end{cases} \end{equation*} where $\phi(x)\in C(M,\mathbb{R})$. ... More

A Deduced Feynman Rule for Calculating Retarded and Advanced Green function in Closed Time Path FormalismApr 01 2002May 21 2002Based on the closed time path formalism, a new Feynman rule for directly calculating the retarded and advanced Green functions is deduced. This Feynman rule is used to calculate the two-point self-energy and three-point vertex correction in $\phi^3$ theory. ... More

Hausdorff measure of hairs without endpoints in the exponential familyFeb 06 2015Devaney and Krych showed that for $0<\lambda<1/e$ the Julia set of $\lambda e^z$ consists of pairwise disjoint curves, called hairs, which connect finite points, called the endpoints of the hairs, with $\infty$. McMullen showed that the Julia set has ... More

A Theoretical Analysis of Two-Stage Recommendation for Cold-Start Collaborative FilteringJan 18 2016In this paper, we present a theoretical framework for tackling the cold-start collaborative filtering problem, where unknown targets (items or users) keep coming to the system, and there is a limited number of resources (users or items) that can be allocated ... More

Statistical Arbitrage Mining for Display AdvertisingJun 11 2015We study and formulate arbitrage in display advertising. Real-Time Bidding (RTB) mimics stock spot exchanges and utilises computers to algorithmically buy display ads per impression via a real-time auction. Despite the new automation, the ad markets are ... More

Nontrivial independent sets of bipartite graphs and cross-intersecting familiesJan 12 2011Let $G(X,Y)$ be a connected, non-complete bipartite graph with $|X|\leq |Y|$. An independent set $A$ of $G(X,Y)$ is said to be trivial if $A\subseteq X$ or $A\subseteq Y$. Otherwise, $A$ is nontrivial. By $\alpha(X,Y)$ we denote the size of maximal-sized ... More

A Dynamical Approach to Viscosity Solutions of Hamilton-Jacobi EquationsDec 04 2013Mar 15 2014In this paper, we consider the following Hamilton-Jacobi equation with initial condition: \begin{equation*} \begin{cases} \partial_tu(x,t)+H(x,t,u(x,t),\partial_xu(x,t))=0, u(x,0)=\phi(x). \end{cases} \end{equation*} Under some assumptions on the convexity ... More

A Probabilistic View of Neighborhood-based Recommendation MethodsJan 05 2017Probabilistic graphic model is an elegant framework to compactly present complex real-world observations by modeling uncertainty and logical flow (conditionally independent factors). In this paper, we present a probabilistic framework of neighborhood-based ... More

Large scaled geometry of Julia sets of entire and meromorphic functionsMay 21 2018In this paper, we study the large scaled geometric structure of Julia sets of entire and meromorphic functions. Roughly speaking, the structure gives us some asymptotic information about the Julia set near the essential singularity. We will show that ... More

Structural parameters for globular clusters in M31May 02 2013In this paper, we present surface brightness profiles for 79 globular clusters in M31, using images observed with {\it Hubble Space Telescope}, some of which are from new observations. The structural and dynamical parameters are derived from fitting the ... More

Pooling designs with surprisingly high degree of error correction in a finite vector spaceMay 13 2011Pooling designs are standard experimental tools in many biotechnical applications. It is well-known that all famous pooling designs are constructed from mathematical structures by the "containment matrix" method. In particular, Macula's designs (resp. ... More

(k,m)-connectivity in Mobile Clustered Wireless NetworksMay 12 2013May 16 2013This paper has been withdrawn by the author due to a crucial error in the calculation of Equation (28). We propose a novel concept of $(k,m)$-connectivity in mobile clustered wireless networks, in which there are $n$ mobile cluster members and $n^d$ static ... More

Variational principle for contact Tonelli Hamiltonian systemsMay 12 2015We establish an implicit variational principle for the equations of the contact flow generated by the Hamiltonian $H(x,u,p)$ with respect to the contact 1-form $\alpha=du-pdx$ under Tonelli and Osgood growth assumptions. It is the first step to generalize ... More

Weak KAM theory for general Hamilton-Jacobi equations II: the fundamental solution under Lipschitz conditionsAug 17 2014We consider the following evolutionary Hamilton-Jacobi equation with initial condition: \begin{equation*} \begin{cases} \partial_tu(x,t)+H(x,u(x,t),\partial_xu(x,t))=0,\\ u(x,0)=\phi(x), \end{cases} \end{equation*} where $\phi(x)\in C(M,\mathbb{R})$. ... More

All admissible meromorphic solutions of Hayman's equationNov 06 2014We find all non-rational meromorphic solutions of the equation $ww"-(w')^2=\alpha(z)w+\beta(z)w'+\gamma(z)$, where $\alpha$, $\beta$ and $\gamma$ are rational functions of $z$. In so doing we answer a question of Hayman by showing that all such solutions ... More

Structural Parameters for Globular Clusters in the Outer Halo of M31Mar 26 2012In this paper, we present internal surface brightness profiles, using images in the F606W and F814W filter bands observed with the Advanced Camera for Surveys on the {\it Hubble Space Telescope}, for ten globular clusters (GCs) in the outer halo of M31. ... More

An Erdős-Ko-Rado theorem in general linear groupsJul 15 2011Let $S_n$ be the symmetric group on $n$ points. Deza and Frankl [M. Deza and P. Frankl, On the maximum number of permutations with given maximal or minimal distance, J. Combin. Theory Ser. A 22 (1977) 352--360] proved that if ${\cal F}$ is an intersecting ... More

Hybrid asymptotic/numerical methods for the evaluation of layer heat potentials in two dimensionsMar 20 2018We present a hybrid asymptotic/numerical method for the accurate computation of single and double layer heat potentials in two dimensions. It has been shown in previous work that simple quadrature schemes suffer from a phenomenon called "geometrically-induced ... More

RC-positivity and rigidity of harmonic maps into Riemannian manifoldsSep 12 2018In this paper, we show that every harmonic map from a compact K\"ahler manifold with uniformly RC-positive curvature to a Riemannian manifold with non-positive complex sectional curvature is constant. In particular, there is no non-constant harmonic map ... More

RC-positivity and scalar-flat metrics on ruled manifoldsSep 04 2018Let $X$ be a ruled surface over a curve of genus $g$. We prove that $X$ has a scalar-flat Hermitian metric if and only if $g\geq 2$ and $m(X)>2-2g$ where $m(X)$ is an intrinsic number depends on the complex structure of $X$.

Comparison of Magnetic Flux Distribution between a Coronal Hole and a Quiet RegionMay 04 2007Employing Big Bear Solar Observatory (BBSO) deep magnetograms and H${\alpha}$ images in a quiet region and a coronal hole, observed on September 14 and 16, 2004, respectively, we have explored the magnetic flux emergence, disappearance and distribution ... More

Renormalization of the SU(2)-symmetric model of hadrodynamicsAug 28 2006It is proved that the SU(2)-symmetric model of hadrodynamics can well be set up on the gauge-invariance principle. The quantization of the model can readily be performed in the Lagrangian path-integral formalisms by using the Lagrangian undetermined multiplier ... More

Anomalous Josephson Effect in magnetic Josephson junctions with noncentrosymmetric superconductorsMay 07 2015We show that the two-band nature of noncentrosymmetric superconductors leads naturally to an anomalous Josephson current appearing at zero phase difference in a clean noncentrosymmetric superconductor/ferromagnet/noncentrosymmetric superconductor junction. ... More

Relations between $β$ and $δ$ for QP and LP in Compressed Sensing ComputationsDec 24 2010In many compressed sensing applications, linear programming (LP) has been used to reconstruct a sparse signal. When observation is noisy, the LP formulation is extended to allow an inequality constraint and the solution is dependent on a parameter $\delta$, ... More

Renormalization of the quantum chromodynamics with massive gluonsDec 06 2005Aug 22 2006In our previously published papers, it was proved that the chromodynamics with massive gluons can well be set up on the gauge-invariance principle. The quantization of the chromodynamics was perfectly performed in the both of Hamiltonian and Lagrangian ... More

Numerical study of the quantum valley Hall effectJul 12 2016Dec 13 2017Under more consideration, it seems that bulk valley current mediated nonlocal resistance is inconsistent with Landau-Buttiker formalism. We believe Landau-Buttiker formalism is right and the declared bulk valley current mediated nonlocal resistance is ... More

A Bivariate Spline Method for Second Order Elliptic Equations in Non-Divergence FormOct 18 2016Jan 04 2017A bivariate spline method is developed to numerically solve second order elliptic partial differential equations (PDE) in non-divergence form. The existence, uniqueness, stability as well as approximation properties of the discretized solution will be ... More

Using Semantic Similarity for Input Topic Identification in Crawling-based Web Application TestingAug 23 2016To automatically test web applications, crawling-based techniques are usually adopted to mine the behavior models, explore the state spaces or detect the violated invariants of the applications. However, in existing crawlers, rules for identifying the ... More

Green Functions of N=1 SYM and Radial/Energy-Scale RelationOct 04 2002Jan 23 2003We study counter-terms of one- and two-point Green functions of some special operators in ${\cal N}=1$ SYM from their SUGRA duals from the consideration of AdS/CFT or gauge/gravity correspondence. We consider both the Maldacena-Nunez solution and the ... More

A molecular line study towards massive extended green object clumps in the southern sky: chemical propertiesMay 04 2016We present a molecular line study towards 31 extended green object (EGO) clumps in the southern sky using data from MALT90 (Millimetre Astronomy Legacy Team 90 GHz). According to previous multiwavelength observations, we divide our sample into two groups: ... More

Blockchain based Digital Asset Management System Architecture for Power Grid Big DataAug 07 2018Chinese power grid enterprises are in need for development of digital asset management system. The characteristics of decentralization, self-trust and self-confidence, pave a promising technical path for power grid digital assess management and Big Data ... More

Topological properties of self-similar fractals with one parameterJan 05 2017In this paper, we study two classes of planar self-similar fractals $T_\varepsilon$ with a shifting parameter $\varepsilon$. The first one is a class of self-similar tiles by shifting $x$-coordinates of some digits. We give a detailed discussion on the ... More

Gauge/Gravity Duality, Green Functions of N=2 SYM and Radial/Energy-Scale RelationJul 16 2002Jul 19 2002We consider supergravity configuration of D5 branes wrapped on supersymmetric 2-cycles and use it to calculate one-point and two-point Green functions of some special operators in N=2 super Yang-Mills theory. We show that Green functions obtained from ... More

Confinement of N=1 Super Yang-Mills from SupergravityMar 17 2003Jul 08 2003We calculate circular Wilson loop expectation value of pure ${\cal N}=1$ super Yang-Mills from the Klebanov-Strassker-Tseytlin solution of supergravity and the proposed gauge/gravity duality. The calculation is performed numerically via searching world-sheet ... More

Molecular line study of massive star forming regions from the RMS surveyMay 02 2016In this paper we selected a sample of massive star forming regions from the Red MSX Source (RMS) survey, to study star formation activities (mainly outflow and inflow signatures).

Time-dependent barrier passage in External Noise Modulated System-reservoir EnvironmentAug 24 2012Sep 09 2012The time-dependent barrier passage of an anomalous system-reservoir coupling non-equilibrium open environment is studied where the heat bath is modulated by an external noise. The time-dependent barrier passing probability is obtained analytically by ... More

A toy model for X-ray spectral variability of active galactic nucleiJun 25 2014The long term X-ray spectral variability of ten active galactic nuclei (AGN) shows a positive spectral index-flux correlation for each object (Sobolewska & Papadakis 2009). An inner advection dominated accretion flow (ADAF) may connect to a thin disc/corona ... More

Intersecting branes and adding flavors to the Maldacena-Nunez backgroundJul 22 2003Jan 06 2004We study adding flavors into the Maldacena-N\u{u}nez background. It is achieved by introducing spacetime filling D9-branes or intersecting D5$'$-branes into the background with a wrapping D5-brane. Both D9-branes and D5$'$-branes can be spacetime filling ... More

Acceleration through Optimistic No-Regret DynamicsJul 27 2018Nov 15 2018We consider the problem of minimizing a smooth convex function by reducing the optimization to computing the Nash equilibrium of a particular zero-sum convex-concave game. Zero-sum games can be solved using online learning dynamics, where a classical ... More

Simplifying Generalized Belief Propagation on Redundant Region GraphsApr 18 2013The cluster variation method has been developed into a general theoretical framework for treating short-range correlations in many-body systems after it was first proposed by Kikuchi in 1951. On the numerical side, a message-passing approach called generalized ... More

A survey of CO and its isotope lines for possible cloud-cloud collision candidatesDec 01 2012Jun 18 2013In the 12CO (J=1-0) survey for the 1331 cold IRAS sources 214 sources show profiles with multiple-peak profiles and are selected as cloud-cloud collision candidates. In January 2005, 201 sources are detected with 12CO(1-0), 13CO(1-0), and C18O(1-0) emission ... More

Aubry-Mather and weak KAM theories for contact Hamiltonian systems. Part 2: Strictly decreasing caseMay 12 2018We study the existence, regularity and representation formula for viscosity solutions of Hamilton-Jacobi equation $\bar{H}(x,u,Du)=0$ on a connected, closed and smooth manifold $M$, where the Hamiltonian $\bar{H}(x,u,p)$ satisfies Tonelli conditions with ... More

Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical massApr 10 2018Apr 11 2018This paper is concerned with the uniqueness of solutions to the following nonlocal semi-linear elliptic equation \begin{equation}\label{ellip}\tag{$\ast$} \Delta u-\beta u+\lambda\frac{e^u}{\int_{\Omega}e^u}=0~\mathrm{in}~\Omega, \end{equation} where ... More

Parsimonious HMMs for Offline Handwritten Chinese Text RecognitionAug 13 2018Recently, hidden Markov models (HMMs) have achieved promising results for offline handwritten Chinese text recognition. However, due to the large vocabulary of Chinese characters with each modeled by a uniform and fixed number of hidden states, a high ... More

Aubry-Mather and weak KAM theories for contact Hamiltonian systems. Part 1: Strictly increasing caseJan 17 2018May 12 2018This paper is concerned with the study of Aubry-Mather and weak KAM theories for contact Hamiltonian systems with Hamiltonians $H(x,u,p)$ defined on $T^*M\times\mathbb{R}$, satisfying Tonelli conditions with respect to $p$ and $0<\frac{\partial H}{\partial ... More

Variational principle for contact Hamiltonian systems and its applicationsFeb 15 2017Feb 04 2018In \cite{WWY}, the authors provided an implicit variational principle for the contact Hamilton's equations \begin{align*} \left\{ \begin{array}{l} \dot{x}=\frac{\partial H}{\partial p}(x,u,p),\\ \dot{p}=-\frac{\partial H}{\partial x}(x,u,p)-\frac{\partial ... More

Cross-Layer Scheduling in Multi-user System with Delay and Secrecy ConstraintsOct 03 2012Aug 16 2013Recently, physical layer security based approaches have drawn considerable attentions and are envisaged to provide secure communications in the wireless networks. However, most existing literatures only focus on the physical layer. Thus, how to design ... More

Spectral indices for radio emission of 228 pulsarsMar 17 2017We determine spectral indices of 228 pulsars by using Parkes pulsar data observed at 1.4 GHz, among which 200 spectra are newly determined. The indices are distributed in the range from -4.84 to -0.46.Together with known pulsar spectra from literature, ... More

Lipschitz equivalence of Cantor sets and irreducibility of polynomialsFeb 10 2017In the paper, we provide an effective method for the Lipschitz equivalence of two-branch Cantor sets and three-branch Cantor sets by studying the irreducibility of polynomials. We also find that any two Cantor sets are Lipschitz equivalent if and only ... More

Production of the charmoniumlike state $Y(4220)$ through the $p\bar{p} \to Y(4220) π^0$ reactionOct 24 2017Nov 05 2017The $Y(4220)$ production in the process of $p\bar{p} \to Y(4220)\pi^0$ is studied within the effective Lagrangian approach. We first study the $e^+e^-\to Y(4220) \to p\bar{p}\pi^0$ reaction at center-of-mass energy $4.258$ GeV with the assumption that ... More

Polarization of Quasars: Resonant Line Scattering in the Broad Absorption Line RegionSep 17 2006Recent works showed that the absorbing material in broad absorption line (BAL) quasars is optically thick to major resonant absorption lines. This material may contribute significantly to the polarization in the absorption lines. In this paper, we present ... More

Predict Forex Trend via Convolutional Neural NetworksJan 09 2018Deep learning is an effective approach to solving image recognition problems. People draw intuitive conclusions from trading charts; this study uses the characteristics of deep learning to train computers in imitating this kind of intuition in the context ... More

Polarization of Quasars: Rotated and Funnel-shaped OutflowDec 13 2006Polarization is a useful probe to investigate the geometries and dynamics of outflow in BAL QSOs. We perform a Monte-Carlo simulation to calculate the polarization produced by resonant and electron scattering in BALR. We find: 1)A rotated and funnel-shaped ... More

Instantly Obsoleting the Address-code Associations: A New Principle for Defending Advanced Code Reuse AttackJul 10 2015Fine-grained Address Space Randomization has been considered as an effective protection against code reuse attacks such as ROP/JOP. However, it only employs a one-time randomization, and such a limitation has been exploited by recent just-in-time ROP ... More

Should We Learn Probabilistic Models for Model Checking? A New Approach and An Empirical StudyMay 26 2016Mar 20 2017Many automated system analysis techniques (e.g., model checking, model-based testing) rely on first obtaining a model of the system under analysis. System modeling is often done manually, which is often considered as a hindrance to adopt model-based system ... More

Baryon resonances in the strangeness productionOct 26 2015We have studied the $N^*(2120)$, $\Delta^*(1940)$, and the possible $\Sigma^*(1380)$ resonances in the $\gamma p \to K^+ \Lambda(1520)$, $pp \to n K^+ \Sigma(1385)$, and $\Lambda p \to \Lambda p \pi^0$ reactions within the resonance model and the effective ... More

Polarization of Quasars: Electron Scattering in the Broad Absorption Line RegionAug 02 2005It is widely accepted that the broad absorption line region (BALR) exists in most (if not all) quasars with a small covering factor. Recent works showed that the BALR is optically thick to soft and even medium energy X-rays, with a typical hydrogen column ... More

Generalized R-squared for Detecting Non-independenceApr 10 2016Detecting whether two random variables are non-independent is a fundamental problem in statistics and machine learning. Although the celebrated Pearson correlation is effective for capturing linear dependency, it can be totally powerless for detecting ... More

A Scaling Behavior of Bloch Oscillation in Weyl SemimetalsMay 09 2016We predict a linear logarithmical scaling law of Bloch oscillation dynamics in Weyl semimetals (WSMs), which can be applied to detect Weyl nodal points. Applying the semiclassical dynamics for quasiparticles which are accelerated bypassing a Weyl point, ... More

Wetting Boundary Conditions in Phase-Field-Based Simulation of Binary Fluids: Some Comparative Studies and New DevelopmentOct 31 2013We studied several wetting boundary conditions (WBCs) in the simulation of binary fluids based on phase-field theory. Five WBCs, three belonging to the surface energy (SE) formulation using the linear, cubic and sine functions (denoted as LinSE, CubSE ... More

Numerical Study of Drop Motion on a Surface with Wettability Gradient and Contact Angle HysteresisJul 25 2013Aug 07 2013In this work, the motion of a 2-D drop on a surface with given wettability gradient is studied numerically by a hybrid lattice-Boltzmann finite-difference method using the multiple-relaxation-time collision model. We incorporate the geometric wetting ... More

A Fast and Robust TSVM for Pattern ClassificationNov 15 2017Twin support vector machine~(TSVM) is a powerful learning algorithm by solving a pair of smaller SVM-type problems. However, there are still some specific issues waiting to be solved when it faces with some real applications, \emph{e.g}, low efficiency ... More

Chiral Expansion at Energy Scale of $ρ$-MassJan 17 2000Nov 24 2000We study chiral expansion at $m_\rho$-scale in framework of chiral constituent quark model. The lowest vector meson resonsances are treated as composited fields of constituent quarks. We illustrate that, at energy scale of $\rho$-meson mass, the chiral ... More

Large N_c Expansion in Chiral Quark Model of MesonsJul 13 1999Nov 29 1999We study SU(3)$_L\timesSU(3)_R$ chiral quark model of mesons up to the next to leading order of $1/N_c$ expansion. Composite vector and axial-vector mesons resonances are introduced via non-linear realization of chiral SU(3) and vector meson dominant. ... More

Preserving Local Gauge Invariance with t-Channel Regge ExchangeSep 04 2015Considering single-meson photo- and electroproduction off a baryon, it is shown how to restore local gauge invariance that was broken by replacing standard Feynman-type meson exchange in the t-channel by exchange of a Regge trajectory. This is achieved ... More

HNCO: A Molecule Traces Low-velocity ShockNov 10 2017Using data from MALT90 (Millimetre Astronomy Legacy Team Survey at 90 GHz), we present molecular line study of a sample of ATLASGAL (APEX Telescope Large Area Survey of the Galaxy) clumps. Twelve emission lines have been detected in all. We found that ... More

A note on brane/flux annihilation and dS vacua in string theoryOct 16 2004Oct 23 2004We reconsider the dynamics of p anti-D3 branes inside the Klebanov-Strassler geometry, in which M units of R-R 3-form flux and K units of NS-NS 3-form flux are presented in deformed conifold. We find that anti-D3 branes blow up into a spherical D5-brane ... More

Stability for Representations of Hecke Algebras of type $A$Feb 02 2018In this paper we introduce the notion of the stability of a sequence of modules over Hecke algebras. We prove that a finitely generated consistent sequence associated with Hecke algebras is representation stable.

Global uniqueness of the minimal sphere in the Atiyah-Hitchin manifoldApr 23 2018In this note, we study submanifold geometry of the Atiyah-Hitchin manifold, the double cover of the $2$-monopole moduli space. When the manifold is naturally identified as the total space of a line bundle over $S^2$, the zero section is a distinguished ... More

Variational based Mixed Noise Removal with CNN Deep Learning RegularizationMay 21 2018In this paper, the traditional model based variational method and learning based algorithms are naturally integrated to address mixed noise removal problem. To be different from single type noise (e.g. Gaussian) removal, it is a challenge problem to accurately ... More

An optimal problem for relative entropyApr 01 2013Relative entropy is an essential tool in quantum information theory. There are so many problems which are related to relative entropy. In this article, the optimal values which are defined by $\displaystyle\max_{U\in{U(\cX_{d})}} S(U\rho{U^{\ast}}\parallel\sigma)$ ... More

Superradiant instability of extremal brane-world Reissner-Nordström black holes to charged scalar perturbationsJun 04 2013We examine the stability of extremal braneworld Reissner-Nordstr\"{o}m black holes under massive charged scalar perturbations. We show that similar to the four-dimensional case, the superradiant amplification can occur in braneworld charged holes. More ... More

Modified holographic dark energy in DGP brane worldSep 20 2010In this paper, the cosmological dynamics of a modified holographic dark energy which is derived from the UV/IR duality by considering the black hole mass in higher dimensions as UV cutoff, is investigated in Dvali-Gabadaze-Porrati (DGP) brane world model. ... More

Weak KAM theory for general Hamilton-Jacobi equations I: the solution semigroup under proper conditionsAug 17 2014We consider the following evolutionary Hamilton-Jacobi equation with initial condition: \begin{equation*} \begin{cases} \partial_tu(x,t)+H(x,u(x,t),\partial_xu(x,t))=0,\\ u(x,0)=\phi(x). \end{cases} \end{equation*} Under some assumptions on $H(x,u,p)$ ... More

Compact single-pass laser frequency conversion to 780.2 nm and 852.3 nm based on PPMgO:LN bulk crystals and diode-laser-seeded fiber amplifiersNov 09 2018Jan 18 2019We report the device to produce single-frequency continuously-tunable 852.3 nm laser by single-pass sum-frequency generation (SFG) of two single-frequency diode-laser-seeded fiber amplifiers at 1560.5 nm and 1878.0 nm in a periodically-poled magnesium-oxide-doped ... More

A representation formula of viscosity solutions to weakly coupled systems of Hamilton-Jacobi equations with applications to regularizing effectJul 10 2017Dec 26 2018Based on a fixed point argument, we give a {\it dynamical representation} of the viscosity solution to Cauchy problem of certain weakly coupled systems of Hamilton-Jacobi equations with continuous initial datum. Using this formula, we obtain some regularity ... More

Re-analysis of the $Λ(1520)$ photoproduction reactionSep 27 2013Feb 19 2014Based on previous studies that support the important role of the $N^*(2120) D_{13}$ resonance in the $\gamma p \to K^+ \Lambda(1520)$ reaction, we make a re-analysis of this $\Lambda(1520)$ photoproduction reaction taking into account the recent CLAS ... More

Design and Optimization of Conforming Lattice StructuresMay 08 2019Inspired by natural cellular materials such as trabecular bone, lattice structures have been developed as a new type of lightweight material. In this paper we present a novel method to design lattice structures that conform with both the principal stress ... More

Numerical Experiments of Wave-Like Phenomena Caused by the Disruption of an Unstable Magnetic ConfigurationJun 15 2009The origin of the Moreton wave observed in the chromosphere and the EIT wave observed in the corona during the eruption remains being an active research subject for a while. We investigate numerically in this work the evolutionary features of the magnetic ... More