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Learning Multilayer Channel Features for Pedestrian DetectionMar 01 2016Pedestrian detection based on the combination of Convolutional Neural Network (i.e., CNN) and traditional handcrafted features (i.e., HOG+LUV) has achieved great success. Generally, HOG+LUV are used to generate the candidate proposals and then CNN classifies ... More

Spin dynamics of a millisecond pulsar orbiting closely around a massive black holeFeb 08 2019We investigate the spin dynamics of a millisecond pulsar (MSP) in a tightly bounded orbit around a massive black hole. These binaries are progenitors of the extreme-mass-ratio-inspirals (EMRIs) and intermediate-mass-ratio-inspirals (IMRIs) gravitational ... More

Transparent Boundary Conditions for the Time-Dependent Schrödinger Equation with a Vector PotentialDec 11 2018We consider the problem of constructing transparent boundary conditions for the time-dependent Schr\"odinger equation with a compactly supported binding potential and, if desired, a spatially uniform, time-dependent electromagnetic vector potential. Such ... More

Coalitional Game Based Carpooling Algorithms for Quality of ExperienceOct 31 2018Carpooling service is an effective solution to balance the limited number of taxicabs and the soaring demands from users, Thus, how to motivate more passengers to participate in carpooling is essential, especially in extreme weather or in rush hours. ... More

Pedestrian Detection Inspired by Appearance Constancy and Shape SymmetryNov 25 2015The discrimination and simplicity of features are very important for effective and efficient pedestrian detection. However, most state-of-the-art methods are unable to achieve good tradeoff between accuracy and efficiency. Inspired by some simple inherent ... More

Learning Sampling Distributions for Efficient Object DetectionAug 23 2015Nov 02 2015Object detection is an important task in computer vision and learning systems. Multistage particle windows (MPW), proposed by Gualdi et al., is an algorithm of fast and accurate object detection. By sampling particle windows from a proposal distribution ... More

Cascade Learning by Optimally PartitioningAug 18 2015Cascaded AdaBoost classifier is a well-known efficient object detection algorithm. The cascade structure has many parameters to be determined. Most of existing cascade learning algorithms are designed by assigning detection rate and false positive rate ... More

Multiplicity of negative-energy solutions for singular-superlinear Schrödinger equations with indefinite-sign potentialNov 08 2018We are concerned with the multiplicity of positive solutions for the singular superlinear and subcritical Schr\"odinger equation $$ \begin{array}{c} -\Delta u +V(x)u=\lambda a(x)u^{-\gamma}+b(x)u^{p}~\mbox{in}~ \mathbb{R}^{N}, \end{array} $$ beyond the ... More

WD 1145+017 Photometric Observations During 8 Months of High ActivityJul 29 2016Nov 18 2016WD 1145+017 was observed from 2015 November to 2016 July for the purpose of characterizing transit behavior of the white dwarf by dust clouds thought to be produced by fragments of an asteroid in close orbit with the star. Fortuitously, most of these ... More

Diurnal variation of VLF signalsApr 14 2014This paper presents an introduction to Chapman's theory of a production layer in the ionosphere relevant to the monitoring of VLF signals and Sudden Ionospheric Distubances (SIDs). It shows how the diurnal pattern of VLF signal strength can be derived, ... More

Errata to `Automorphisms of First-order Structures'Jul 07 1995This is a list of the typographic and other errors that occur in `Automorphisms of first-order structures', by R. W. Kaye and H. D. Macpherson (eds), Oxford University Press, 1994.

Self-Organized Hydrodynamics with congestion and path formation in crowdsJul 15 2012A continuum model for self-organized dynamics is numerically investigated. The model describes systems of particles subject to alignment interaction and short-range repulsion. It consists of a non-conservative hyperbolic system for the density and velocity ... More

Quantum Networks for Concentrating EntanglementJan 02 2001If two parties, Alice and Bob, share some number, n, of partially entangled pairs of qubits, then it is possible for them to concentrate these pairs into some smaller number of maximally entangled states. We present a simplified version of the algorithm ... More

DNA Probabilities in People v. Prince: When are racial and ethnic statistics relevant?May 20 2008When a defendant's DNA matches a sample found at a crime scene, how compelling is the match? To answer this question, DNA analysts typically use relative frequencies, random-match probabilities or likelihood ratios. They compute these quantities for the ... More

A Survey on Privacy and Security in Online Social NetworksJan 27 2015Online Social Networks (OSN) are a permanent presence in today's personal and professional lives of a huge segment of the population, with direct consequences to offline activities. Built on a foundation of trust-users connect to other users with common ... More

ComReg: A Complex Network Approach to Prioritize Test Cases for Regression TestingNov 17 2013Nov 26 2014Regression testing is performed to provide confidence that changes in a part of software do not affect other parts of the software. An execution of all existing test cases is the best way to re-establish this confidence. However, regression testing is ... More

Quantum Networks for Generating Arbitrary Quantum StatesJul 14 2004Quantum protocols often require the generation of specific quantum states. We describe a quantum algorithm for generating any prescribed quantum state. For an important subclass of states, including pure symmetric states, this algorithm is efficient.

Optimized quantum implementation of elliptic curve arithmetic over binary fieldsJul 13 2004Shor's quantum algorithm for discrete logarithms applied to elliptic curve groups forms the basis of a "quantum attack" of elliptic curve cryptosystems. To implement this algorithm on a quantum computer requires the efficient implementation of the elliptic ... More

The fibering method approach for a non-linear Schrödinger equation coupled with the electromagnetic fieldJun 13 2018We study, with respect to the parameter $q\neq0$, the following Schr\"odinger-Bopp-Podolsky system in $\mathbb R^{3}$ \begin{equation*} \left\{ \begin{aligned} -&\Delta u+\omega u+q^2\phi u=|u|^{p-2}u, \\ &-\Delta \phi+a^2\Delta^2 \phi = 4\pi u^2, \end{aligned} ... More

Numerical simulations of the Euler system with congestion constraintAug 24 2010In this paper, we study the numerical simulations for Euler system with maximal density constraint. This model is developed in [1, 3] with the constraint introduced into the system by a singular pressure law, which causes the transition of different asymptotic ... More

Wonderful compactification of an arrangement of subvarietiesNov 14 2006Jan 01 2009We define the wonderful compactification of an arrangement of subvarieties. Given a complex nonsingular algebraic variety $Y$ and certain collection $\mathcal{G}$ of subvarieties of $Y$, the wonderful compactification $Y_\mathcal{G}$ can be constructed ... More

Chow Motive of Fulton-MacPherson configuration spaces and wonderful compactificationsNov 15 2006Jan 01 2009We study the Chow groups and the Chow motives of the wonderful compactifications $Y_{\mathcal{G}}$ of arrangements of subvarieties. We prove a natural decomposition of the Chow motive of $Y_\mathcal{G}$, in particular of the Fulton-MacPherson configuration ... More

Product Backlog Rating: A Case Study On Measuring Test Quality In ScrumOct 09 2013Nov 25 2014Agile software development methodologies focus on software projects which are behind schedule or highly likely to have a problematic development phase. In the last decade, Agile methods have transformed from cult techniques to mainstream methodologies. ... More

A Gaussian-Like Immersed Boundary Kernel with Three Continuous Derivatives and Improved Translational InvarianceMay 28 2015Sep 22 2015The immersed boundary (IB) method is a general mathematical framework for studying problems involving fluid-structure interactions in which an elastic structure is immersed in a viscous incompressible fluid. In the IB formulation, the fluid described ... More

A posteriori error estimator for adaptive local basis functions to solve Kohn-Sham density functional theoryJan 05 2014Jun 16 2014Kohn-Sham density functional theory is one of the most widely used electronic structure theories. The recently developed adaptive local basis functions form an accurate and systematically improvable basis set for solving Kohn-Sham density functional theory ... More

One-way information reconciliation schemes of quantum key distributionJan 05 2012May 14 2012Information reconciliation(IR) is a basic step of quantum key distribution (QKD). Classical message interaction is necessary in a practical IR scheme, and the communication complexity has become a bottleneck of QKD's development. Here we propose a concatenated ... More

Probing equilibration with respect to isospin degree of freedom in intermediate energy heavy ion collisionsSep 26 2001We have studied equilibration with respect to isospin degree of freedom in four 96 mass systems $^{96}Ru+^{96}Ru$, $^{96}Ru+^{96}Zr$, $^{96}Zr+^{96}Ru$, $^{96}Zr+^{96}Zr$ at 100 AMeV and 400 AMeV with isospin dependent QMD. We propose that the neutron-proton ... More

Lawson homology, morphic cohomology and Chow motivesNov 04 2007In this paper, the Lawson homology and morphic cohomology are defined on the Chow motives. We also define the rational coefficient Lawson homology and morphic cohomology of the Chow motives of finite quotient projective varieties. As a consequence, we ... More

On focal submanifolds of isoparametric hypersurfaces and Simons formulaJan 28 2015The focal submanifolds of isoparametric hypersurfaces in spheres are all minimal Willmore submanifolds, mostly being $\mathcal{A}$-manifolds in the sense of A.Gray but rarely Ricci-parallel (\cite{QTY},\cite{LY},\cite{TY3}). In this paper we study the ... More

Dirichlet problems of a quasi-linear elliptic systemNov 20 2003We discuss the Dirichlet problem of the quasi-linear elliptic system \begin{eqnarray*} -e^{-f(U)}div(e^{f(U)}\bigtriangledown U)+&{1/2}f'(U)|\bigtriangledown U|^2&=0, {in $\Omega$}, & U|_{\partial\Omega}&=\phi. \end{eqnarray*} Here $\Omega$ a smooth bounded ... More

A Novel Feature-based Bayesian Model for Query Focused Multi-document SummarizationDec 10 2012Dec 27 2013Both supervised learning methods and LDA based topic model have been successfully applied in the field of query focused multi-document summarization. In this paper, we propose a novel supervised approach that can incorporate rich sentence features into ... More

Edge-grafting theorems on permanents of the Laplacian matrices of graphs and their applicationsJun 20 2012The trees, respectively unicyclic graphs, on $n$ vertices with the smallest Laplacian permanent are studied. In this paper, by edge-grafting transformations, the $n$-vertex trees of given bipartition having the second and third smallest Laplacian permanent ... More

Engineering two-mode squeezed states of cold atomic clouds with a superconducting stripline resonatorSep 16 2010A scheme is proposed for engineering two-mode squeezed states of two separated cold atomic clouds positioned near the surface of a superconducting stripline resonator. Based on the coherent magnetic coupling between the atomic spins and a stripline resonator ... More

Monochromatic disconnection of graphsJan 05 2019Jan 26 2019For an edge-colored graph $G$, we call an edge-cut $R$ of $G$ monochromatic if the edges of $R$ are colored with a same color. The graph $G$ is called monochromatically disconnected if any two distinct vertices of $G$ are separated by a monochromatic ... More

On the exterior Dirichlet problem for Hessian quotient equationsSep 14 2017In this paper, we establish the existence and uniqueness theorem for solutions of the exterior Dirichlet problem for Hessian quotient equations with prescribed asymptotic behavior at infinity. This extends the previous related results on the Monge-Amp\`{e}re ... More

Note on the complexity of deciding the rainbow connectedness for bipartite graphsSep 26 2011Sep 27 2011A path in an edge-colored graph is said to be a rainbow path if no two edges on the path have the same color. An edge-colored graph is (strongly) rainbow connected if there exists a rainbow (geodesic) path between every pair of vertices. The (strong) ... More

Notes on a minimal set of generators for the radical ideal defining the diagonal locus of $(\C^2)^n$Jan 09 2009Sep 09 2009We develop several techniques for the study of the radical ideal $I$ defining the diagonal locus of $(\C^2)^n$. Using these techniques, we give combinatorial construction of generators for $I$ of certain bi-degrees.

Existence and exponential stability of positive almost periodic solution for Nicholson's blowflies models on time scalesAug 05 2015Nov 12 2015In this paper, we first give a new definition of almost periodic time scales, two new definitions of almost periodic functions on time scales and investigate some basic properties of them. Then, as an application, by using the fixed point theorem in Banach ... More

WARP: Wavelets with adaptive recursive partitioning for multi-dimensional dataNov 02 2017Jul 10 2018Traditional statistical wavelet analysis carries out modeling and inference under a given, predetermined wavelet transform. This approach can quickly lose efficiency for multi-dimensional data (e.g., observations measured on a multi-dimensional grid), ... More

Optomechanical photon shuttling between photonic cavitiesSep 03 2014Mechanical motion of photonic devices driven by optical forces provides a profound means of coupling between optical fields. The current focus of these optomechanical effects has been on cavity optomechanics systems in which co-localized optical and mechanical ... More

On some conformally invariant fully nonlinear equations, Part II: Liouville, Harnack and YamabeMar 25 2004The Yamabe problem concerns finding a conformal metric on a given closed Riemannian manifold so that it has constant scalar curvature. This paper concerns mainly a fully nonlinear version of the Yamabe problem and the corresponding Liouville type problem. ... More

High-precision radial-velocity measurement with a small telescope: Detection of the tau Bootis exoplanetSep 17 2006The successful detection is reported of radial-velocity variations due to orbital motion of the substellar companion of the star tau Bootis, from data obtained with a small aperture (0.4m) telescope and a fibre-fed high-resolution spectrograph. Radial-velocity ... More

Classification of general n-qubit states under stochastic local operations and classical communication in terms of the rank of coefficient matrixJun 30 2011May 04 2012We solve the entanglement classification under stochastic local operations and classical communication (SLOCC) for general n-qubit states. For two arbitrary pure n-qubit states connected via local operations, we establish an equation between the two coefficient ... More

Rank-based SLOCC classification for odd n qubitsJun 21 2011We study the entanglement classification under stochastic local operations and classical communication (SLOCC) for odd n-qubit pure states. For this purpose, we introduce the rank with respect to qubit i for an odd n-qubit state. The ranks with respect ... More

SLOCC determinant invariants of order 2^{n/2} for even n qubitsJun 17 2011Feb 02 2012In this paper, we study SLOCC determinant invariants of order 2^{n/2} for any even n qubits which satisfy the SLOCC determinant equations. The determinant invariants can be constructed by a simple method and the set of all these determinant invariants ... More

Higher cohomology of the pluricanonical bundle is not deformation invariantDec 01 2006Jan 16 2008In this paper, we compute the dimensions of the 1st and 2nd cohomology groups of all the pluricanonical bundles for Hirzebruch surfaces, and the dimensions of the 1st and 2nd cohomology groups of the second pluricanonical bundles for a blow-up of a projective ... More

Production and rescattering of strange baryons at SPS energies in a transport model with hadron potentialsOct 13 2010A mean-field potential version of the Ultra-relativistic Quantum Molecular Dynamics (UrQMD) model is used to investigate the production of strange baryons, especially the $\Lambda$s and $\overline{\Lambda}$s, from heavy ion collisions at SPS energies. ... More

On the Lagrangian angle and the Kähler angle of immersed surfaces in the complex plane $\bbc^2$Nov 09 2015In this paper, we discuss the Lagrangian angle and the K\"ahler angle of immersed surfaces in $\mathbb C^2$. Firstly, we provide an extension of Lagrangian angle, Maslov form and Maslov class to more general surfaces in $\mathbb C^2$ than Lagrangian surfaces, ... More

Constraints and Soliton Solutions for the KdV Hierarchy and AKNS HierarchyNov 26 2010It is well-known that the finite-gap solutions of the KdV equation can be generated by its recursion operator.We generalize the result to a special form of Lax pair, from which a method to constrain the integrable system to a lower-dimensional or fewer ... More

Query-focused Multi-document Summarization: Combining a Novel Topic Model with Graph-based Semi-supervised LearningDec 10 2012Dec 31 2013Graph-based semi-supervised learning has proven to be an effective approach for query-focused multi-document summarization. The problem of previous semi-supervised learning is that sentences are ranked without considering the higher level information ... More

Electromagnetic Force on a BraneSep 29 2016A fundamental assumption in the theory of brane world is that all matter and radiation are confined on the four-dimensional brane and only gravitons can propagate in the five-dimensional bulk spacetime. The brane world theory did not provide an explanation ... More

Note on two results on the rainbow connection number of graphsOct 23 2011An edge-colored graph $G$, where adjacent edges may be colored the same, is rainbow connected if any two vertices of $G$ are connected by a path whose edges have distinct colors. The rainbow connection number $rc(G)$ of a connected graph $G$ is the smallest ... More

Temperature dependence of thermal conductivity in 1D nonlinear latticesMar 22 2007We examine the temperature dependence of thermal conductivity of one dimensional nonlinear (anharmonic) lattices with and without on-site potential. It is found from computer simulation that the heat conductivity depends on temperature via the strength ... More

Some Numerical Results For Ito EquationJan 21 2013By the method of invariant manifold, we investigate the Ito equation numerically with high precision. By the numerical results, we can completely determine the form of analytic soliton solutions for the Ito equation. In fact, by the numerical data we ... More

A Novel Algorithm for Compressive Sensing: Iteratively Reweighed Operator Algorithm (IROA)Mar 28 2009Compressive sensing claims that the sparse signals can be reconstructed exactly from many fewer measurements than traditionally believed necessary. One of issues ensuring the successful compressive sensing is to deal with the sparsity-constraint optimization. ... More

Fluctuation limits of the super-Brownian motion with a single point catalystNov 02 2009Oct 20 2014We prove a fluctuating limit theorem of a sequence of super-Brownian motions over $\mbb{R}$ with a single point catalyst. The weak convergence of the processes on the space of Schwarz distributions is established. The limiting process is an Ornstein-Uhlenbeck ... More

Model-Checking of Linear-Time Properties Based on Possibility MeasureMar 10 2012Sep 25 2016We study the LTL model-checking in possibilistic Kripke structure using possibility measure. First, the notion of possibilistic Kripke structure and the related possibility measure are introduced, then model-checking of reachability and repeated reachability ... More

Global $W^{2,δ}$ estimates for singular fully nonlinear elliptic equations with $L^n$ right hand side termsSep 14 2017We establish in this paper \emph{a priori} global $W^{2,\delta}$ estimates for singular fully nonlinear elliptic equations with $L^n$ right hand side terms. The method is to slide paraboloids and barrier functions vertically to touch the solution of the ... More

$q,t$-Catalan numbers and generators for the radical ideal defining the diagonal locus of $(\C^2)^n$Sep 09 2009Let $I$ be the ideal generated by alternating polynomials in two sets of $n$ variables. Haiman proved that the $q,t$-Catalan number is the Hilbert series of the graded vector space $M(=\bigoplus_{d_1,d_2}M_{d_1,d_2})$ spanned by a minimal set of generators ... More

Structure of Hochschild cohomology of path algebras and differential formulation of Euler's polyhedron formulaOct 11 2010Jun 24 2012This article studies the Lie algebra $Diff(K\Gamma)$ of derivations on the path algebra $K\Gamma$ of a quiver $\Gamma$ and the Lie algebra on the first Hochschild cohomology group $H^1(K\Gamma)$. We relate these Lie algebras to the algebraic and combinatorial ... More

A general Liouville type theorem for some conformally invariant fully nonlinear equationsJan 21 2003We establish a general Liouville type theorem for conformally invariant fully nonlinear equations.

Nonlinear differentiation equation and analytic function spacesOct 09 2015In this paper we consider the nonlinear complex differential equation $$(f^{(k)})^{n_{k}}+A_{k-1}(z)(f^{(k-1)})^{n_{k-1}}+\cdot\cdot\cdot+A_{1}(z)(f')^{n_{1}}+A_{0}(z)f^{n_{0}}=0, $$where $ A_{j}(z)$, $ j=0, \cdots, k-1 $, are analytic in the unit disk ... More

Polynomial invariants of degree 4 for even-$n$ qubits and their applications in entanglement classificationAug 11 2013We develop a simple method for constructing polynomial invariants of degree 4 for even-$n$ qubits and give explicit expressions for these polynomial invariants. We demonstrate the invariance of the polynomials under stochastic local operations and classical ... More

Gradient Estimates for Parabolic Systems from Composite MaterialMay 07 2011Jul 05 2012In this paper we derive $W^{1,\infty}$ and piecewise $C^{1,\alpha}$ estimates for solutions, and their $t-$derivatives, of divergence form parabolic systems with coefficients piecewise H\"older continuous in space variables $x$ and smooth in $t$. This ... More

MB-tensors and MB0-tensorsNov 24 2014Dec 01 2014The class of MB(MB0)-tensors, which is a generation of B(B0)-tensors and quasi-double B(B0)-tensors, is proposed. And we prove that an even order symmetric MB(MB0)-tensor is positive (semi-)definite. This provides a positive answer for the conjecture ... More

Double B-tensor and quasi-double B-tensorAug 11 2014In this paper, we propose two new classes of tensors: double B-tensors and quasi-double B-tensors, give some properties of double B-tensors and quasi-double B-tensors, discuss their relationships with B-tensors and positive definite tensors and show that ... More

Implicit Asymptotic Preserving Method for Linear Transport EquationsFeb 01 2016The computation of the radiative transfer equation is expensive mainly due to two stiff terms: the transport term and the collision operator. The stiffness in the former comes from the fact that particles (such as photons) travels at the speed of light, ... More

Towards Label Imbalance in Multi-label Classification with Many LabelsApr 05 2016In multi-label classification, an instance may be associated with a set of labels simultaneously. Recently, the research on multi-label classification has largely shifted its focus to the other end of the spectrum where the number of labels is assumed ... More

A New Unified Theory of Electromagnetic and Gravitational InteractionsNov 04 2015Mar 30 2016In this paper we present a new unified theory of electromagnetic and gravitational interactions. By considering a four-dimensional spacetime as a hypersurface embedded in a five-dimensional bulk spacetime, we derive the complete set of field equations ... More

Quantum Criticality and DBI Magneto-resistanceAug 08 2016Sep 01 2016We use the DBI action from string theory and holography to study the magneto-resistance at quantum criticality with hyperscaling violation. We find and analyze a rich class of scaling behaviors for the magneto-resistance. A special case describes the ... More

Network analysis of the state space of chaotic map in digital domainOct 28 2014Nov 04 2014Complex dynamics of chaotic maps under an infinite-precision mathematical framework have been well known. The case in a finite-precision computer remains to be further explored. Previous work treated a digital chaotic map as a black box and gave different ... More

Uniqueness of positive bound states to Schrodinger systems with critical exponentsAug 02 2007We prove the uniqueness for the positive solutions of the following elliptic systems: \begin{eqnarray*} \left\{\begin{array}{ll} - \lap (u(x)) = u(x)^{\alpha}v(x)^{\beta} - \lap (v(x)) = u(x)^{\beta} v(x)^{\alpha} \end{array} \right. \end{eqnarray*} Here ... More

Novel Algorithm for Sparse Solutions to Linear Inverse Problems with Multiple MeasurementsMay 20 2009In this report, a novel efficient algorithm for recovery of jointly sparse signals (sparse matrix) from multiple incomplete measurements has been presented, in particular, the NESTA-based MMV optimization method. In a nutshell, the jointly sparse recovery ... More

Beat the Rayleigh limit: OAM based super-resolution diffraction tomographyJun 27 2013This letter is the first to report that a super-resolution imaging beyond the Rayleigh limit can be achieved by using classical diffraction tomography (DT) extended with orbital angular momentum (OAM), termed as OAM based diffraction tomography (OAM-DT). ... More

The neighbor-scattering number can be computed in polynomial time for interval graphsMar 17 2006Neighbor-scattering number is a useful measure for graph vulnerability. For some special kinds of graphs, explicit formulas are given for this number. However, for general graphs it is shown that to compute this number is NP-complete. In this paper, we ... More

Effects of alpha particles on the angular momentum loss from the SunJun 07 2006The classic Weber-Davis model of the solar wind is reconsidered by incorporating alpha particles and by allowing the solar wind to flow out of the equatorial plane in an axisymmetrical configuration. In the ion momentum equations of the solar wind, the ... More

Chemical distances for percolation of planar Gaussian free fields and critical random walk loop soupsMay 14 2016Aug 29 2016We initiate the study on chemical distances of percolation clusters for level sets of two-dimensional discrete Gaussian free fields as well as loop clusters generated by two-dimensional random walk loop soups. One of our results states that the chemical ... More

Two-sample Test of Community Memberships of Weighted Stochastic Block ModelsNov 30 2018Suppose two networks are observed for the same set of nodes, where each network is assumed to be generated from a weighted stochastic block model. This paper considers the problem of testing whether the community memberships of the two networks are the ... More

The Politics of AttentionOct 26 2018Jan 20 2019We develop an equilibrium theory of attention and politics. In a spatial model of electoral competition where candidates have varying policy preferences, we examine what kinds of political behaviors capture voters' limited attention and how this concern ... More

Characters and patterns of communities in networksJan 14 2013In this paper, we propose some new notions to characterize and analyze the communities. The new notions are general characters of the communities or local structures of networks. At first, we introduce the notions of internal dominating set and external ... More

Primary visual cortex as a saliency map: parameter-free prediction of behavior from V1 physiologyNov 02 2014It has been hypothesized that neural activities in the primary visual cortex (V1) represent a saliency map of the visual field to exogenously guide attention. This hypothesis has so far provided only qualitative predictions and their confirmations. We ... More

Isospin effect on nuclear stopping in intermediate energy Heavy Ion CollisionsNov 21 2002By using the Isospin Dependent Quantum Molecular Dynamics Model (IQMD), we study the dependence of nuclear stopping Q_{ZZ}/A and R in intermediate energy heavy ion collisions on system size, initial N/Z, isospin symmetry potential and the medium correction ... More

Holographic Competition of Phases and SuperconductivitySep 30 2015Jan 13 2016We use a holographic theory to model and study the competition of four phases: an antiferromagnetic phase, a superconducting phase, a metallic phase and a striped phase, using as control parameters temperature and a doping-like parameter. We analyse the ... More

Criteria For Superfluid Instabilities of Geometries with Hyperscaling ViolationJun 08 2016We examine the onset of superfluid instabilities for geometries that exhibit hyperscaling violation and Lifshitz-like scaling at infrared and intermediate energy scales, and approach AdS in the ultraviolet. In particular, we are interested in the role ... More

Thermal conductivities of one-dimensional anharmonic/nonlinear lattices: renormalized phonons and effective phonon theoryDec 05 2012Heat transport in low-dimensional systems has attracted enormous attention from both theoretical and experimental aspects due to its significance to the perception of fundamental energy transport theory and its potential applications in the emerging filed ... More

Zero-sum and nonzero-sum differential games without Isaacs conditionJul 17 2015In this paper we study the zero-sum and nonzero-sum differential games with not assuming Isaacs condition. Along with the partition $\pi$ of the time interval $[0,T]$, we choose the suitable random non-anticipative strategy with delay to study our differential ... More

On natural maps from strata of quiver Grassmannians to ordinary GrassmanniansSep 08 2012Caldero and Zelevinsky studied the geometry of quiver Grassmannians for the Kronecker quiver and computed their Euler characteristics by examining natural stratification of quiver Grassmannians. We consider generalized Kronecker quivers and compute virtual ... More

Weight hierarchies of a family of linear codes associated with degenerate quadratic formsApr 18 2018We restrict the degenerate quadratic forms of a finite field to its subspaces and quotient spaces. And some related results on the subspaces and quotient spaces are obtained. Based on this, we solve the weight hierarchies of a family of linear codes relating ... More

Chemical distances for percolation of planar Gaussian free fields and critical random walk loop soupsMay 14 2016Feb 25 2018We initiate the study on chemical distances of percolation clusters for level sets of two-dimensional discrete Gaussian free fields as well as loop clusters generated by two-dimensional random walk loop soups. One of our results states that the chemical ... More

3D B_2 Model for Radiative Transfer Equation Part I: ModellingJan 14 2017May 30 2017We extend to three-dimensional space the approximate M_2 model for the slab geometry studied in our previous paper. The B_2 model therein, as a special case of the second order extended quadrature method of moments (EQMOM), is proved to be globally hyperbolic. ... More

Two-Step Many-Objective Optimal Power Flow Based on Knee Point-Driven Evolutionary AlgorithmDec 04 2018To coordinate the economy, security and environment protection in the power system operation, a two-step many-objective optimal power flow (MaOPF) solution method is proposed. In step 1, it is the first time that knee point-driven evolutionary algorithm ... More

Computation of Differential Chow Forms for Prime Differential IdealsJan 12 2015In this paper, we propose algorithms to compute differential Chow forms for prime differential ideals which are given by their characteristic sets. The main algorithm is based on an optimal bound for the order of a prime differential ideal in terms of ... More

A Liouville type theorem for some conformally invariant fully nonlinear equationsDec 30 2002We establish a Liouville type theorem for some conformally invariant fully nonlinear equations

A fully nonlinear version of the Yamabe problem and a Harnack type inequalityDec 02 2002We present some results on a fully nonlinear version of the Yamabe problem and a Harnack type inequality for general conformally invariant fully nonlinear second order elliptic equations.

Structure and Dynamics of Coauthorship, Citation, and Impact within CSCWJul 26 2013Jul 31 2013CSCW has stabilized as an interdisciplinary venue for computer, information, cognitive, and social scientists but has also undergone significant changes in its format in recent years. This paper uses methods from social network analysis and bibliometrics ... More

Privacy Concerns vs. User Behavior in Community Question AnsweringAug 25 2015Community-based question answering (CQA) platforms are crowd-sourced services for sharing user expertise on various topics, from mechanical repairs to parenting. While they naturally build-in an online social network infrastructure, they carry a very ... More

Proposal for a quantum delayed-choice experiment with a spin-mechanical setupMay 03 2016Oct 12 2016We describe an experimentally feasible protocol for performing a variant of the quantum delayed-choice experiment with massive objects. In this scheme, a single nitrogen-vacancy (NV) center in diamond driven by microwave fields is dispersively coupled ... More

Kazhdan-Lusztig polynomials and drift configurationsJun 09 2010Oct 04 2010The coefficients of the Kazhdan-Lusztig polynomials $P_{v,w}(q)$ are nonnegative integers that are upper semicontinuous on Bruhat order. Conjecturally, the same properties hold for $h$-polynomials $H_{v,w}(q)$ of local rings of Schubert varieties. This ... More

The Primary Design of the RidgetronMay 27 2016The ridgetron is used to accelerate the intense beam for the electron irradiation. According to the electromagnetic field simulation, the extend electrode should be cancelled to increase the shunt impedence. The method of parameter sweeping with constraint ... More

Method for classifying multiqubit states via the rank of the coefficient matrix and its application to four-qubit statesJan 11 2012Oct 26 2012We construct coefficient matrices of size 2^l by 2^{n-l} associated with pure n-qubit states and prove the invariance of the ranks of the coefficient matrices under stochastic local operations and classical communication (SLOCC). The ranks give rise to ... More