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Ehrhart $h^*$-vectors of hypersimplicesApr 28 2011Aug 09 2012We consider the Ehrhart $h^*$-vector for the hypersimplex. It is well-known that the sum of the $h_i^*$ is the normalized volume which equals an Eulerian numbers. The main result is a proof of a conjecture by R. Stanley which gives an interpretation of ... More

Chain polytopes and algebras with straightening lawsJul 11 2012Oct 30 2012It will be shown that the toric ring of the chain polytope of a finite partially ordered set is an algebra with straightening laws on a finite distributive lattice. Thus in particular every chain polytope possesses a regular unimodular triangulation arising ... More

Computing Isolated Singular Solutions of Polynomial Systems: Case of Breadth OneJul 31 2010Mar 11 2011We present a symbolic-numeric method to refine an approximate isolated singular solution $\hat{\mathbf{x}}=(\hat{x}_{1}, ..., \hat{x}_{n})$ of a polynomial system $F=\{f_1, ..., f_n\}$ when the Jacobian matrix of $F$ evaluated at $\hat{\mathbf{x}}$ has ... More

External zonotopal algebraApr 11 2011We provide a general, unified, framework for external zonotopal algebra. The approach is critically based on employing simultaneously the two dual algebraic constructs and invokes the underlying matroidal and geometric structures in an essential way. ... More

Relations between quark and lepton mixing angles and matricesApr 18 2005May 12 2005We discuss the relations between the mixing angles and the mixing matrices of quarks and leptons. With Raidal's numerical relations, we parametrize the lepton mixing (PMNS) matrix with the parameters of the quark mixing (CKM) matrix, and calculate the ... More

A New Parametrization of the Neutrino Mixing MatrixAug 22 2004Dec 01 2004The neutrino mixing matrix is expanded in powers of a small parameter $\lambda$, which approximately equals to 0.1. The meaning of every order of the expansion is discussed respectively, and the range of $\lambda$ is carefully calculated. We also present ... More

Parametrization of Neutrino Mixing Matrix in Tri-bimaximal Mixing PatternDec 09 2004Dec 29 2004The neutrino mixing matrix is expanded in powers of a small parameter $\lambda$ in tri-bimaximal mixing pattern. We also present some applications of this parametrization, such as to the expression of the Jarlskog parameter $J$. Comparing with other parametrizations ... More

Estimate of neutrino masses from Koide's relationMay 05 2005We apply Koide's mass relation of charged leptons to neutrinos and quarks, with both the normal and inverted mass schemes of neutrinos discussed. We introduce the parameters $k_{\nu}$, $k_u$ and $k_d$ to describe the deviations of neutrinos and quarks ... More

Energy scale independence of Koide's relation for quark and lepton massesJan 05 2006Jan 15 2006Koide's mass relation of charged leptons has been extended to quarks and neutrinos, and we prove here that this relation is independent of energy scale in a huge energy range from $1 {GeV}$ to $2\times10^{16} {GeV}$. By using the parameters $k_u$, $k_d$ ... More

Unified Parametrization of Quark and Lepton Mixing MatricesJan 24 2005May 03 2005We present a unified parametrization of quark and lepton mixing matrices. By using some simple relations between the mixing angles of quarks and leptons, i.e., the quark-lepton complementarity, we parametrize the lepton mixing matrix with the Wolfenstein ... More

Testing the anisotropy of the Universe with the distance duality relationJul 03 2017Nov 19 2018The distance duality relation (DDR) is valid in Riemannian spacetime. The astronomical data hint that the universe may have certain preferred direction. If the universe is described by anisotropic cosmological models based on Riemannian spacetime, then ... More

CP violation in neutrino mixing with $δ= -π/2$ in $A_4$ Type-II seesaw modelMay 08 2015Nov 25 2015We study a class of models for neutrino mass matrix in Type-II seesaw with $A_4$ family symmetry. The resulting neutrino mass matrix can be naturally made to respect a $\mu-\tau$ exchange plus CP conjugate symmetry (GLS) with the CP violating phase $\delta$ ... More

Cooperative Communication Using Network CodingNov 27 2015Dec 10 2015We consider a cognitive radio network scenario where a primary transmitter and a secondary transmitter, respectively, communicate a message to their respective primary receiver and secondary receiver over a packet-based wireless link, using a joint automatic-repeat-request ... More

Three-Scale Factorization Theorem and Effective Field TheoryJul 02 1996We develop a perturbative QCD factorization theorem which is compatible with effective field theory. The factorization involves three scales: an infrared cutoff of order $\Lambda_{\rm QCD}$, a hard scale of order the $B$ meson mass, and an ultraviolet ... More

An anti-correlation between barycentre offsets and velocity dispersion for highest overdensity subhalos in cosmological simulationsAug 08 2018Sep 11 2018In this paper, we use two hydrodynamic simulations to study the barycentre offsets $r_{{\rm off}}$ between the entire halo and the gas or dark matter subhalo with largest overdensity. We restrict our analysis to those halos with large rescaled offsets, ... More

Testing the homogeneity of the Universe using gamma-ray burstsSep 10 2015In this paper, we study the homogeneity of the GRB distribution using a subsample of the Greiner GRB catalogue, which contains 314 objects with redshift $0<z<2.5$ (244 of them discovered by the Swift GRB Mission). We try to reconcile the dilemma between ... More

The Two-Point Correlation Function of Gamma-ray BurstsJul 06 2015In this paper, we examine the spacial distribution of gamma-ray bursts (GRBs) using a sample of 373 objects. We subdivide the GRB data into two redshift intervals over the redshift range $0<z< 6.7$. We measure the two-point correlation function (2PCF), ... More

Detection-averse optimal and receding-horizon control for Markov decision processesAug 21 2019In this paper, we consider a Markov decision process (MDP), where the ego agent has a nominal objective to pursue while needs to hide its state from detection by an adversary. After formulating the problem, we first propose a value iteration (VI) approach ... More

On isolation of singular zeros of multivariate analytic systemsApr 16 2019We give a separation bound for an isolated multiple root $x$ of a square multivariate analytic system $f$ satisfying that the deflation process applied on $f$ and $x$ terminates after only one iteration. When $x$ is only given approximately, we give a ... More

Gluon fragmentation functions in the Nambu-Jona-Lasinio modelJun 14 2016Jul 19 2016We derive gluon fragmentation functions in the Nambu-Jona-Lasinio (NJL) model by treating a gluon as a pair of color lines formed by fictitious quark and anti-quark ($q\bar q$). Gluon elementary fragmentation functions are obtained from the quark and ... More

Formation of very hard electron and gamma-ray spectra of flat spectrum radio quasar in fast-cooling regimeOct 31 2015Mar 29 2016In external Compton scenario, we investigate the formation of the very hard electron spectrum in the fast-cooling regime, using a time-dependent emission model. It is shown that a very hard electron distribution $N'_{\rm e}(\gp)\propto\gp^{-p}$ with the ... More

Parameter constraints in a near-equipartition model with multi-frequency \emph{NuSTAR}, \emph{Swift} and \emph{Fermi-LAT} data from 3C 279Sep 16 2015Precise spectra of 3C 279 in the 0.5-70 keV range, obtained during two epochs of \emph{Swift} and \emph{NuSTAR} observations, are analyzed using a near-equipartition model. We apply a one-zone leptonic model with a three-parameter log-parabola electron ... More

Decomposable edge polytopes of finite graphsJun 08 2014Dec 16 2014Edge polytopes is a class of interesting polytope with rich algebraic and combinatorial properties, which was introduced by Ohsugi and Hibi. In this papar, we follow a previous study on cutting edge polytopes by Hibi, Li and Zhang. Instead of focusing ... More

FAST low frequency pulsar surveyNov 05 2012The Five-hundred-meter Aperture Spherical radio Telescope (FAST) is under construction and will be commissioned in September 2016. A low frequency 7-beam receiver working around 400 MHz is proposed for FAST early science. It will be optimized for a whole ... More

Nonlinear Electromagnetic Quasinormal Modes and Hawking Radiation of A Regular Black Hole with Magnetic ChargeSep 21 2014Mar 24 2015Based on a regular exact black hole (BH) from nonlinear electrodynamics (NED) coupled to General Relativity, we investigate its stability of such BH through the Quasinormal Modes (QNMs) of electromagnetic (EM) field perturbation and its thermodynamics ... More

A Planar Tracking Game with Sensing Delays and its MATLAB ImplementationJan 09 2018This paper proposes a new perspective on the conventional planar target tracking problem. One evader and one pursuer are considered in the dynamics. In the planar tracking, pursuer has the ability to measure the position and the velocity information of ... More

Impacts of different SNLS3 light-curve fitters on cosmological consequences of interacting dark energy modelsJan 28 2015May 23 2016We explore the cosmological consequences of interacting dark energy (IDE) models using the SNLS3 supernova samples. In particular, we focus on the impacts of different SNLS3 light-curve fitters (LCF) (corresponding to "SALT2", "SiFTO", and "Combined" ... More

Generalization of Rindler Potential at Cluster Scales in Randers-Finslerian Spacetime: a Possible Explanation of the Bullet Cluster 1E0657-558?Oct 18 2011Mar 03 2013The data of the Bullet Cluster 1E0657-558 released on November 15, 2006 reveal that the strong and weak gravitational lensing convergence $\kappa$-map has an $8\sigma$ offset from the $\Sigma$-map. The observed $\Sigma$-map is a direct measurement of ... More

New constraints on the distance duality relation from the local dataAug 06 2018The cosmic distance duality relation (DDR), which connects the angular diameter distance and luminosity distance through a simple formula $D_A(z)(1+z)^2/D_L(z)\equiv1$, is an important relation in cosmology. Therefore, testing the validity of DDR is of ... More

Dark Energy and Normalization of the Cosmological Wave FunctionMay 14 2015Aug 16 2016Dark energy is investigated from the perspective of quantum cosmology. It is found that, together with an appropriate normal ordering factor $q$, only when there is dark energy then can the cosmological wave function be normalized. This interesting observation ... More

Algorithmic Collusion in Cournot Duopoly Market: Evidence from Experimental EconomicsFeb 21 2018Algorithmic collusion is an emerging concept in current artificial intelligence age. Whether algorithmic collusion is a creditable threat remains as an argument. In this paper, we propose an algorithm which can extort its human rival to collude in a Cournot ... More

A comprehensive investigation on the slowing down of cosmic accelerationSep 11 2015Apr 13 2016Shafieloo ea al. firstly proposed the possibility that the current cosmic acceleration (CA) is slowing down. However, this is rather counterintuitive because a slowing down CA cannot be accommodated in most mainstream cosmological models. In this work, ... More

Holographic Dark Energy with Cosmological ConstantFeb 04 2015Aug 11 2015Inspired by the multiverse scenario, we study a heterotic dark energy model in which there are two parts, the first being the cosmological constant and the second being the holographic dark energy, thus this model is named the $\Lambda$HDE model. By studying ... More

Galaxies Rotation Curves in the Grumiller's Modified GravitySep 17 2012Feb 27 2013The effective potential in the Grumiller's modified gravity [D. Grumiller, Phys. Rev. Lett {\bf 105}, 211303 (2010)] includes the Newtonian potential and a Rindler term. The fitting to the rotation curve data of eight galaxies suggests a universal Rindler ... More

Form factors of $V'\to V''$ transition within the light-front quark modelsAug 10 2019In this paper, we calculate the matrix element and form factors of vector-to-vector ($V'\to V'$) transition within the standard light-front~(SLF) and covariant light-front~(CLF) quark models~(QMs), and investigate the self-consistency and Lorentz covariance ... More

More Evidence for the Redshift Dependence of Color from the JLA Supernova Sample Using Redshift TomographyJan 07 2016May 03 2016In this work, by applying the redshift tomography method to Joint Light-curve Analysis (JLA) supernova sample, we explore the possible redshift-dependence of stretch-luminosity parameter $\alpha$ and color-luminosity parameter $\beta$. The basic idea ... More

Finslerian MOND vs. observations of Bullet Cluster 1E0657-558Sep 14 2012Mar 03 2013It is known that theory of MOND with spherical symmetry cannot account for the convergence $\kappa$-map of Bullet Cluster 1E0657-558. In this paper, we try to set up a Finslerian MOND, a generalization of MOND in Finsler spacetime. We use $Ric=0$ to obtain ... More

Globalization with probabilistic convexityOct 25 2013Jun 23 2015We introduce a notion of probabilistic convexity and generalize some classical globalization theorems in Alexandrov geometry. A weighted Alexandrov's lemma is developed as a basic tool.

Joint resummation for pion wave function and pion transition form factorOct 14 2013Oct 27 2013We construct an evolution equation for the pion wave function in the $k_T$ factorization theorem, whose solution sums the mixed logarithm $\ln x\ln k_T$ to all orders, with $x$ ($k_T$) being a parton momentum fraction (transverse momentum). This joint ... More

Time-Varying Massive MIMO Channel Estimation: Capturing, Reconstruction and RestorationMay 07 2019On the time-varying channel estimation, the traditional downlink (DL) channel restoration schemes usually require the reconstruction for the covariance of downlink process noise vector, which is dependent on DL channel covariance matrix (CCM). However, ... More

Quantum correlations for arbitrarily high-dimensional Bell inequalitySep 22 2007We analyze the correlation structure of bipartite arbitrary-dimensional Bell inequalities via novel conditions of correlations in terms of differences of joint probabilities called correlators. The conditions of correlations are shown to be necessary ... More

Resummation of rapidity logarithms in $B$ meson wave functionsOct 10 2012Jan 03 2013We construct an evolution equation for the $B$ meson wave functions in the $k_T$ factorization theorem, whose solutions sum the double logarithms associated with the light-cone singularities, namely, the rapidity logarithms. The derivation is subtler ... More

Next-to-leading-order corrections to $B \to π$ form factors in $k_T$ factorizationJan 24 2012Mar 06 2012We calculate next-to-leading-order (NLO) corrections to the $B\to\pi$ transition form factors at leading twist in the $k_T$ factorization theorem. Light partons off-shell by $k_T^2$ are considered in the quark diagrams, in the effective diagrams for the ... More

Shot cutoff timescales in different spectral states of Cygnus X-1Jul 22 2004We investigate the shot cutoff timescale evolutions during different spectral states in the black hole binary Cygnus X-1 with the recently proposed w spectral analysis technique. For low energy shots, their cutoff timescale decreases from the low state ... More

Determination of Effective Synaptic Conductances Using Somatic Voltage ClampOct 13 2017The interplay between excitatory and inhibitory neurons imparts rich functions of the brain. To understand the underlying synaptic mechanisms, a fundamental approach is to study the dynamics of excitatory and inhibitory conductances of each neuron. The ... More

U-spin analysis of CP violation in $B^- $ decays into three charged light pseudoscalar mesonsNov 15 2013We carry out a $U$-spin symmetry analysis for CP violation in $B^- $ decays into three light $\pi^-\pi^-\pi^+$, $\pi^- K^-K^+$, $K^-K^-K^+$ and $K^- \pi^-\pi^+$ mesons. We clarify some subtle points in constructing decay amplitudes with $U=0$ formed by ... More

Large SU(3) breaking effects and CP violation in $B^+ $ decays into three charged SU(3) octet pseudoscalar mesonsJul 26 2013Nov 18 2013TThe LHCb collaboration has recently reported evidence for non-zero CP asymmetries in $B^+$ decays into $\pi^+ K^+ K^-,\; \pi^+\pi^+\pi^-,\; K^+ K^+ K^- $ and $K^+\pi^+\pi^-$. The branching ratios for these decays have also been measured with different ... More

Transverse-momentum-dependent wave functions with Glauber gluons in $B \to ππ$, $ρρ$ decaysFeb 14 2015Jun 12 2015We investigate the Glauber-gluon effect on the $B \to \pi \pi$ and $\rho \rho$ decays, which is introduced via a convolution of a universal Glauber phase factor with transverse-momentum-dependent(TMD) meson wave functions in the $k_T$ factorization theorem. ... More

Lipschitz-Volume rigidity in Alexandrov geometryOct 25 2011Jun 23 2015We prove a Lipschitz-Volume rigidity theorem in Alexandrov geometry, that is, if a 1-Lipschitz map $f\colon X=\amalg X_\ell\to Y$ between Alexandrov spaces preserves volume, then it is a path isometry and an isometry when restricted to the interior of ... More

Testing the isotropy of the Universe by using the JLA compilation of type-Ia supernovaeApr 14 2015Nov 27 2015We probe the possible anisotropy of the Universe by using the JLA compilation of type-Ia supernovae. We apply the Markov Chain Monte Carlo (MCMC) method to constrain the amplitude and direction of anisotropy in three cosmological models. For the dipole-modulated ... More

$Λ$CDM model with a scalar perturbation vs. preferred direction of the universeNov 12 2013We present a scalar perturbation for the $\Lambda$CDM model, which breaks the isotropic symmetry of the universe. Based on the Union2 data, the least-$\chi^2$ fit of the scalar perturbed $\Lambda$CDM model shows that the universe has a preferred direction ... More

A canonical expansion of the product of two Stanley symmetric functionsAug 14 2012We study the problem of expanding the product of two Stanley symmetric functions $F_w\cdot F_u$ into Stanley symmetric functions in some natural way. Our approach is to consider a Stanley symmetric function as a stabilized Schubert polynomial $F_{w}=\lim_{n\to ... More

Probabilistic Model of Object Detection Based on Convolutional Neural NetworkAug 16 2018The combination of a CNN detector and a search framework forms the basis for local object/pattern detection. To handle the waste of regional information and the defective compromise between efficiency and accuracy, this paper proposes a probabilistic ... More

Fourth Generation CP Violation Effect on B -> K pi, phi K and rho K in NLO PQCDNov 08 2006Mar 29 2007We study the effect from a sequential fourth generation quark on penguin-dominated two-body nonleptonic B meson decays in the next-to-leading order perturbative QCD formalism. With an enhancement of the color-suppressed tree amplitude and possibility ... More

A self-consistent interpretation of the GeV-TeV emission from a distant blazar PKS 1424+240Dec 16 2014Feb 26 2015We propose a scenario for self-consistent interpretation of GeV - TeV spectrum of a distant blazar PKS 1424+240. In this scenario, ultra-high energy (UHE) protons are assumed to exist in the blazar jet and produce gamma rays through synchrotron emission ... More

Provably size-guaranteed mesh generation with superconvergenceFeb 22 2019The properties and applications of superconvergence on size-guaranteed Delaunay triangulation generated by bubble placement method (BPM), are studied in this paper. First, we derive a mesh condition that the difference between the actual side length and ... More

Performance Optimization of Network Coding Based Communication and Reliable Storage in Internet of ThingsMar 09 2017Internet or things (IoT) is changing our daily life rapidly. Although new technologies are emerging everyday and expanding their influence in this rapidly growing area, many classic theories can still find their places. In this paper, we study the important ... More

Probing Higgs Boson $CP$ Properties with $t\bar{t}H$ at the LHC and the 100 TeV $pp$ ColliderDec 30 2014Jan 10 2015The Higgs boson $H$ has the largest coupling to the top quark $t$ among the standard model (SM) fermions. This is one of the ideal places to investigate new physics beyond SM. In this work, we study the potential of determining Higgs boson $CP$ properties ... More

Kilohertz QPO Frequency and Flux Decrease in AQL X-1 and Effect of Soft X-ray Spectral ComponentsDec 21 1998Jan 17 1999We report on an RXTE/PCA observation of Aql X-1 during its outburst in March 1997 in which, immediately following a Type-I burst, the broad-band 2-10 keV flux decreased by about 10% and the kilohertz QPO frequency decreased from 813+-3 Hz to 776+-4 Hz. ... More

RGB-T Object Tracking:Benchmark and BaselineMay 23 2018RGB-Thermal (RGB-T) object tracking receives more and more attention due to the strongly complementary benefits of thermal information to visible data. However, RGB-T research is limited by lacking a comprehensive evaluation platform. In this paper, we ... More

SU(3) and Isospin Breaking Effects on B to PPP AmplitudesOct 02 2014Mar 05 2015Several modes of $B$ decays into three pseudoscalar octet mesons PPP have been measured. These decays have provided useful information for B decays in the standard model (SM). Some of powerful tools in analyzing B decays are flavor $SU(3)$ and isospin ... More

Impact parameter smearing effects on isospin sensitive observables in heavy ion collisionsDec 28 2017Apr 18 2018The validity of impact parameter estimation from the multiplicity of charged particles at low-intermediate energies is checked within the framework of ImQMD model. The simulations show that the multiplicity of charged particles cannot estimate the impact ... More

Inversed Vernier effect based single-mode laser emission in coupled microdisksApr 14 2015Recently, on-chip single-mode laser emission has attracted considerable research attention due to its wide applications. While most of single-mode lasers in coupled microdisks or microrings have been qualitatively explained by either Vernier effect or ... More

Finding Similar Medical Questions from Question Answering WebsitesOct 14 2018The past few years have witnessed the flourishing of crowdsourced medical question answering (Q&A) websites. Patients who have medical information demands tend to post questions about their health conditions on these crowdsourced Q&A websites and get ... More

A Disease Diagnosis and Treatment Recommendation System Based on Big Data Mining and Cloud ComputingOct 17 2018It is crucial to provide compatible treatment schemes for a disease according to various symptoms at different stages. However, most classification methods might be ineffective in accurately classifying a disease that holds the characteristics of multiple ... More

Adaptive Game-Theoretic Decision Making for Autonomous Vehicle Control at RoundaboutsOct 01 2018In this paper, we propose a decision making algorithm for autonomous vehicle control at a roundabout intersection. The algorithm is based on a game-theoretic model representing the interactions between the ego vehicle and an opponent vehicle, and adapts ... More

The combination of directional outputs and single-mode operation in circular microdisk with broken PT symmetryMay 18 2015Monochromaticity and directionality are two key characteristics of lasers. However, the combination of directional emission and single-mode operation is quite challenging, especially for the on-chip devices. Here we propose a microdisk laser with single-mode ... More

Effects of spacetime anisotropy on the galaxy rotation curvesMay 10 2013May 26 2013The observations on galaxy rotation curves show significant discrepancies from the Newtonian theory. This issue could be explained by the effect of the anisotropy of the spacetime. Conversely, the spacetime anisotropy could also be constrained by the ... More

Evolving Optical Networks for Latency-Sensitive Smart-Grid Communications via Optical Time Slice Switching (OTSS) TechnologiesSep 05 2017In this paper, we proposed a novel OTSS-assisted optical network architecture for smart-grid communication networks, which has unique requirements for low-latency connections. Illustrative results show that, OTSS can provide extremely better performance ... More

Advancing Tabu and Restart in Local Search for Maximum Weight CliquesApr 22 2018The tabu and restart are two fundamental strategies for local search. In this paper, we improve the local search algorithms for solving the Maximum Weight Clique (MWC) problem by introducing new tabu and restart strategies. Both the tabu and restart strategies ... More

Finslerian MOND versus the Strong Gravitational Lensing of the Early-type GalaxiesSep 05 2013The gravitational lensing of Bullet Clusters and early-type galaxies pose serious challenges on the validity of MOND. Recently, Finslerian MOND, a generalization of MOND in the framework of Finsler gravity, has been proposed to explain the mass discrepancy ... More

Self-consistency and covariance of light-front quark models: testing via $P$, $V$ and $A$ meson decay constants, and $P\to P$ weak transition form factorsSep 30 2018Dec 14 2018In this paper, we test the self-consistencies of the standard and the covariant light-front quark model and study the zero-mode issue via the decay constants of pseudoscalar ($P$), vector ($V$) and axial-vector ($A$) mesons, as well as the $P\to P$ weak ... More

Non-dipolar Wilson links for quasi-parton distribution functionsFeb 24 2016Aug 05 2016We propose a modified definition for a quasi-parton distribution function (QPDF) with an equal-time correlator in the large momentum limit, whose two pieces of space-like Wilson links are oriented in orthogonal directions. It is explicitly shown at one-loop ... More

Verified Error Bounds for Isolated Singular Solutions of Polynomial Systems: Case of Breadth OneJan 17 2012In this paper we describe how to improve the performance of the symbolic-numeric method in (Li and Zhi,2009, 2011) for computing the multiplicity structure and refining approximate isolated singular solutions in the breadth one case. By introducing a ... More

Lipschitz-Volume rigidity on limit spaces with Ricci curvature bounded from belowOct 31 2013Jun 23 2015We prove a Lipschitz-Volume rigidity theorem for the non-collapsed Gromov-Hausdorff limits of manifolds with Ricci curvature bounded from below. This is a counterpart of the Lipschitz-Volume rigidity in Alexandrov geometry.

An Algorithm for Constructing a Smallest Register with Non-Linear Update Generating a Given Binary SequenceJun 24 2013Registers with Non-Linear Update (RNLUs) are a generalization of Non-Linear Feedback Shift Registers (NLFSRs) in which both, feedback and feedforward, connections are allowed and no chain connection between the stages is required. In this paper, a new ... More

On Popoviciu type tormulas for generalized restricted partition functionSep 22 2007Suppose that $a_1(n),a_2(n),...,a_s(n),m(n)$ are integer-valued polynomials in $n$ with positive leading coefficients. This paper presents Popoviciu type formulas for the generalized restricted partition function $$p_{A(n)}(m(n)):=#\{(x_1,...,x_s)\in ... More

Apollonian Equilateral TrianglesMar 01 2013Given an equilateral triangle with $a$ the square of its side length and a point in its plane with $b$, $c$, $d$ the squares of the distances from the point to the vertices of the triangle, it can be computed that $a$, $b$, $c$, $d$ satisfy $3(a^2+b^2+c^2+d^2)=(a+b+c+d)^2$. ... More

An Eulerian permutation statistic and generalizationsAug 15 2012Recently, the second author studied an Eulerian statistic (called cover) in the context of convex polytopes, and proved an equal joint distribution of (cover,des) with (des,exc). In this paper, we present several direct bijective proofs that cover is ... More

On dimensions of tangent cones in limit spaces with lower Ricci curvature boundsJun 09 2015Oct 27 2015We show that if $X$ is a limit of $n$-dimensional Riemannian manifolds with Ricci curvature bounded below and $\gamma$ is a limit geodesic in $X$ then along the interior of $\gamma$ same scale measure metric tangent cones $T_{\gamma(t)}X$ are H\"older ... More

Integrability of Orbifold ABJM TheoriesJul 22 2016Sep 20 2018Integrable structure has played a very important role in the study of various non-perturbative aspects of planar ABJM theories. In this paper we showed that this remarkable structure survive after orbifold operation with discrete group $\Gamma(\simeq\mathbb{Z}_n)<SU(4)_R\times ... More

MedTruth: A Semi-supervised Approach to Discovering Knowledge Condition Information from Multi-Source Medical DataSep 27 2018Aug 19 2019Knowledge Graph (KG) contains entities and the relations between entities. Due to its representation ability, KG has been successfully applied to support many medical/healthcare tasks. However, in the medical domain, knowledge holds under certain conditions. ... More

Bringing Semantic Structures to User Intent Detection in Online Medical QueriesOct 22 2017The Internet has revolutionized healthcare by offering medical information ubiquitously to patients via web search. The healthcare status, complex medical information needs of patients are expressed diversely and implicitly in their medical text queries. ... More

Granular hopping conduction in (Ag,Mo)$_x$(SnO$_2$)$_{1-x}$ films in the dielectric regimeAug 15 2017We have studied the temperature dependence of conductivity, $\sigma(T)$, in two series of Ag$_{x}$(SnO$_2$)$_{1-x}$ and Mo$_{x}$(SnO$_2$)$_{1-x}$ granular films lying below the percolation threshold, where $x$ is the metal volume fraction. The metal grains ... More

Content-Based Table Retrieval for Web QueriesJun 08 2017Understanding the connections between unstructured text and semi-structured table is an important yet neglected problem in natural language processing. In this work, we focus on content-based table retrieval. Given a query, the task is to find the most ... More

Single-Perspective Warps in Natural Image StitchingFeb 13 2018Mar 07 2018Results of image stitching can be perceptually divided into single-perspective and multiple-perspective. Compared to the multiple-perspective result, the single-perspective result excels in perspective consistency but suffers from projective distortion. ... More

On the Sormani-Wenger Intrinsic Flat Convergence of Alexandrov SpacesNov 25 2014Sep 19 2018We study sequences of integral current spaces $(X_j,d_j,T_j)$ such that the integral current structure $T_j$ has weight $1$ and no boundary and, all $(X_j,d_j)$ are closed Alexandrov spaces with curvature uniformly bounded from below and diameter uniformly ... More

Embedding of Deterministic Test Data for In-Field TestingJan 23 2013This paper presents a new feedback shift register-based method for embedding deterministic test patterns on-chip suitable for complementing conventional BIST techniques for in-field testing. Our experimental results on 8 real designs show that the presented ... More

On a Conjecture about the Number of Solutions to Linear Diophantine Equations with a Positive Integer ParameterSep 30 2007Let A(n) be a $k\times s$ matrix and $m(n)$ be a $k$ dimensional vector, where all entries of A(n) and $m(n)$ are integer-valued polynomials in $n$. Suppose that $$t(m(n)|A(n))=#\{x\in\mathbb{Z}_{+}^{s}\mid A(n)x=m(n)\}$$ is finite for each $n\in \mathbb{N}$, ... More

Quantum key distribution based on a quantum retrodiction protocolMay 16 2012Jan 13 2013This paper is withdrawn. We study the quantum key distribution (QKD) protocol based on a quantum retrodiction protocol, namely the so-called mean king problem. The security is analyzed by considering the eavesdropping on both the preparation of the entangled ... More

Learning Temporal Point Processes via Reinforcement LearningNov 12 2018Social goods, such as healthcare, smart city, and information networks, often produce ordered event data in continuous time. The generative processes of these event data can be very complex, requiring flexible models to capture their dynamics. Temporal ... More

Experimental demonstration of PT-symmetric stripe lasersMay 15 2015Recently, the coexistence of parity-time (PT) symmetric laser and absorber has gained tremendous research attention. While the PT symmetric absorber has been observed in microwave metamaterials, the experimental demonstration of PT symmetric laser is ... More

Verifying Genuine High-Order EntanglementNov 23 2010High-order entanglement embedded in multipartite multilevel quantum systems (qudits) with many degrees of freedom (DOFs) plays an important role in quantum foundation and quantum engineering. Verifying high-order entanglement without the restriction of ... More

Iterative Receivers for Downlink MIMO-SCMA: Message Passing and Distributed Cooperative DetectionOct 24 2017The rapid development of the mobile communications requires ever higher spectral efficiency. The non-orthogonal multiple access (NOMA) has emerged as a promising technology to further increase the access efficiency of wireless networks. Amongst several ... More

Possible hard X-ray shortages in bursts from KS 1731-260 and 4U 1705-44Feb 16 2014Aims: A hard X-ray shortage, implying the cooling of the corona, was observed during bursts of IGR J17473-272, 4U 1636-536, Aql X-1, and GS 1826-238. Apart from these four sources, we investigate here an atoll sample, in which the number of bursts for ... More

Edge optical scattering of two-dimensional materialsJan 06 2018Jan 09 2018Rayleigh scattering has shown powerful abilities to study electron resonances of nanomaterials regardless of the specific shapes. In analogy to Rayleigh scattering, here we demonstrate that edge optical scattering from two-dimensional (2D) materials also ... More

Prospects of detecting dark matter through cosmic-ray antihelium with the antiproton constraintsAug 10 2018May 27 2019Cosmic-ray (CR) antihelium is an important observable for dark matter (DM) indirect searches due to extremely low secondary backgrounds towards low energies. In a given DM model, the predicted CR antihelium flux is expected to be strongly correlated with ... More

A Loop-philic PseudoscalarDec 27 2015Jan 04 2016We construct a weakly-coupled renormalizable model to explain the $750\mbox{GeV}$ diphoton excess. The $750\mbox{GeV}$ resonance (denoted as $X(750)$) is interpreted as a pseudoscalar coming from a complex singlet. The model also naturally provides a ... More

Sparse sampling approach to efficient ab initio calculations at finite temperatureAug 20 2019Efficient ab initio calculations of correlated materials at finite temperature require compact representations of the Green's functions both in imaginary time and Matsubara frequency. In this paper, we introduce a general procedure which generates sparse ... More

Effects of supermassive binary black holes on gravitational lensesOct 05 2011Oct 27 2011Recent observations indicate that many if not all galaxies host massive central black holes (BHs). In this paper we explore the influence of supermassive binary black holes (SMBBHs) on their actions as gravitational lenses. When lenses are modelled as ... More