Results for "Nan Li"

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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
Bounding geometry of loops in Alexandrov spacesAug 16 2010Mar 23 2013For a path in a compact finite dimensional Alexandrov space $X$ with curv $\ge \kappa$, the two basic geometric invariants are the length and the turning angle (which measures the closeness from being a geodesic). We show that the sum of the two invariants ... More
Unimodular equivalence of order and chain polytopesAug 20 2012The problem when the order polytope and the chain polytope of a finite partially ordered set are unimodularly equivalent will be solved.
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
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
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
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
Scale dependence of cosmological backreactionOct 26 2007Oct 13 2008Due to the non-commutation of spatial averaging and temporal evolution, inhomogeneities and anisotropies (cosmic structures) influence the evolution of the averaged Universe via the cosmological backreaction mechanism. We study the backreaction effect ... More
Perturbative pion form factor reexaminedDec 30 1997We recalculate the pion electromagnetic form factor based on the perturbative QCD formalism that includes the Sudakov resummation. We take into account the evolution of the pion wave function in $b$, which represents the transverse extent of the pion. ... 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
Cusp-core problem and strong gravitational lensingMay 19 2009Oct 31 2009Cosmological numerical simulations of galaxy formation have led to the cuspy density profile of a pure cold dark matter halo toward the center, which is in sharp contradiction with the observations of the rotation curves of cold dark matter-dominated ... More
Effect of GRB spectra on the empirical luminosity correlations and the GRB Hubble diagramApr 08 2016The spectra of gamma-ray bursts (GRBs) in a wide energy range can usually be well described by the Band function, which is a two smoothly jointed power laws cutting at a breaking energy. Below the breaking energy, the Band function reduces to a cut-off ... More
The significance of anisotropic signals hiding in the type Ia supernovaeApr 26 2016We use two different methods, i.e., dipole-fitting (DF) and hemisphere comparison (HC), to search for the anisotropic signals hiding in the Union2.1 data set. We find that the directions of maximum matter density derived using these two methods are about ... 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
The face vector of a half-open hypersimplexSep 20 2013Sep 29 2014The half-open hypersimplex $\Delta'_{n,k}$ consists of those $x = (x_{1}, \ldots, x_{n}) \in[0,1]^n$ with $k-1<x_1+\cdots+x_n\le k$, where $0 < k \leq n$. The $f$-vector of a half-open hypersimplex and related generating functions are explicitly studied. ... 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
Top Rank Optimization in Linear TimeOct 06 2014Bipartite ranking aims to learn a real-valued ranking function that orders positive instances before negative instances. Recent efforts of bipartite ranking are focused on optimizing ranking accuracy at the top of the ranked list. Most existing approaches ... 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
Origin of the $k_T$ smearing in direct photon productionFeb 25 1998We show that the Sudakov factor from the resummation of double logarithms $\ln(s/k_T^2)$ contained in the distribution functions is responsible for the $k_T$ smearing mechanism employed in the next-to-leading-order QCD ($\alpha\alpha_s^2$) calculations ... More
Perturbative QCD study of the B-> K^* gamma decayDec 28 1998Apr 30 1999We apply the perturbative QCD factorization theorem developed recently for nonleptonic heavy meson decays to the radiative decay $B\to K^*\gamma$. In this formalism the evolution of the Wilson coefficients from the $W$ boson mass down to the characteristic ... 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
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
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
Gamma-ray burst polarization reduction induced by the Lorentz invariance violationSep 01 2016It has been observed that photons in the prompt emission of some gamma-ray bursts (GRBs) are highly polarized. The high polarization is used by some authors to give a strict constraint on the Lorentz invariance violation (LIV). If the Lorentz invariance ... More
Generalized Ehrhart polynomialsFeb 19 2010Oct 30 2010Let $P$ be a polytope with rational vertices. A classical theorem of Ehrhart states that the number of lattice points in the dilations $P(n) = nP$ is a quasi-polynomial in $n$. We generalize this theorem by allowing the vertices of P(n) to be arbitrary ... 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
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
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
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
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
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
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
An Exploration of the Black Hole Entropy via the Weyl TensorOct 30 2015The Weyl tensor is the trace-free part of the Riemann tensor. Therefore, it is independent of the energy-momentum tensor and is thus not linked to the dynamics of gravitational fields. In this paper, we explore its possible thermodynamical property (i.e. ... 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
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
Perturbative QCD study of $B\to D^{(*)}$ decaysOct 17 1995Oct 18 1995We compute various form factors involved in $B\to D^{(*)}$ transitions based on the perturbative QCD formalism, which includes Sudakov effects from the resummation of large radiative corrections in a heavy-light system. A two-parameter model wave function ... More
A polymer based phononic crystalJan 31 2018A versatile system to construct polymeric phononic crystals by using ultrasound is described. In order to fabricate this material a customised cavity device fitted with a 2 MHz acoustic transducer and an acoustic reflector is employed for standing wave ... 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
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
The Gini Coefficient as a Morphological Measurement of Strongly Lensed Galaxies in the Image PlaneNov 11 2015Jun 22 2016Characterization of the morphology of strongly lensed galaxies is challenging because images of such galaxies are typically highly distorted. Lens modeling and source plane reconstruction is one approach that can provide reasonably undistorted images ... More
Internal W-emmission and W-exchange Contributions to {\bf B}\to {{\bf D}^{(*)} DecaysMar 08 1996We evaluate external $W$-emission, internal $W$-emission and $W$-exchange contributions to nonleptonic $B\to D^{(*)}$ decays based on the perturbative QCD formalism including Sudakov effects, whose ratio is found to be $1:+0.2:0.03i$ at the amplitude ... 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
Correlations between MIR, FIR, H$α$, and FUV Luminosities for SWIRE galaxiesJun 19 2008Jun 30 2008e present and analyze the correlations between mid-infrared (MIR), far-infrared (FIR), total-infrared (TIR), H$\alpha$, and FUV luminosities for star-forming galaxies, composite galaxies and AGNs, based on a large sample of galaxies selected from the ... More
Efficient Optimization of Performance Measures by Classifier AdaptationDec 04 2010Aug 02 2012In practical applications, machine learning algorithms are often needed to learn classifiers that optimize domain specific performance measures. Previously, the research has focused on learning the needed classifier in isolation, yet learning nonlinear ... More
Round Table Discussion at the Final Session of FPCP 2008: The Future of Flavor Physics and CPSep 19 2008The final session of FPCP 2008 consisted of a round-table discussion among panelists and audience. The panelists included Jeffrey Appel(moderator), Martin Beneke, George W.S. Hou, David Kirkby, Dmitri Tsybychev, Matt Wingate, and Taku Yamanaka. What follows ... More
Okubo-Zweig-Iizuka-rule violation and B\to η^{(\prime)}K branching ratiosNov 30 2007May 22 2008We show that few-percent Okubo-Zweig-Iizuka-rule violating effects in the quark-flavor basis for the $\eta$-$\eta'$ mixing can enhance the chiral scale associated with the $\eta_q$ meson few times. This enhancement is sufficient for accommodating the ... 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
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
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.
Stellar Mass Estimation Based on IRAC Photometry for Spitzer SWIRE-field GalaxiesJan 15 2010We analyze the feasibility to estimate the stellar mass of galaxies by mid-infrared luminosities based on a large sample of galaxies cross-identified from $Spitzer$ SWIRE fields and SDSS spectrographic survey. We derived the formulae to calculate the ... More
Are long gamma-ray bursts standard candles?Apr 27 2015Aug 20 2015Gamma-ray bursts (GRBs) are widely proposed as an effective probe to trace the Hubble diagram of the Universe in high redshift range. However, the calibration of GRBs is not as easy as that of type-Ia supernovae (SNe Ia). Most calibrating methods at present ... More
A unified description for dipoles of the fine-structure constant and SnIa Hubble diagram in Finslerian universeJan 27 2015May 07 2015We propose a Finsler spacetime scenario of the anisotropic universe. The Finslerian universe requires both the fine-structure constant and accelerating cosmic expansion have dipole structure, and the directions of these two dipoles are the same. Our numerical ... More
The numbers of edges of the order polytope and the chain poyltope of a finite partially ordered setAug 02 2015Nov 15 2016Let $P$ be an arbitrary finite partially ordered set. It will be proved that the number of edges of the order polytope ${\mathcal O}(P)$ is equal to that of the chain polytope ${\mathcal C}(P)$. Furthermore, it will be shown that the degree sequence of ... 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
The Magneto Hydro Dynamical Model of KHz Quasi Periodic Oscillations in Neutron Star Low Mass X-ray Binaries (II)Jun 26 2014We study the kilohertz quasi-periodic oscillations (kHz QPOs) in neutron star low mass X-ray binaries (LMXBs) with a new magnetohydrodynamics (MHD) model, in which the compressed magnetosphere is considered. The previous MHD model (Shi \& Li 2009) is ... More
Line k-Arboricity in Product NetworksMar 14 2016A \emph{linear $k$-forest} is a forest whose components are paths of length at most $k$. The \emph{linear $k$-arboricity} of a graph $G$, denoted by ${\rm la}_k(G)$, is the least number of linear $k$-forests needed to decompose $G$. Recently, Zuo, He ... More
Relative information entropy of an inhomogeneous universeNov 25 2010In the context of averaging an inhomogeneous cosmological model, we propose a natural measure identical to the Kullback-Leibler relative information entropy, which expresses the distinguishability of the local inhomogeneous density field from its spatial ... More
Learning Probabilistic Hierarchical Task Networks to Capture User PreferencesJun 02 2010We propose automatically learning probabilistic Hierarchical Task Networks (pHTNs) in order to capture a user's preferences on plans, by observing only the user's behavior. HTNs are a common choice of representation for a variety of purposes in planning, ... More
Gauge Invariant and Infrared Finite Theory of Nonleptonic Heavy Meson DecaysFeb 03 1999May 27 1999We show that the controversies on the gauge dependence and the infrared singularity emerged in the generalized factorization approach for nonleptonic heavy meson decays within the framework of the operator product expansion can be resolved by perturbative ... More
Comment on Reparametrization Invariance of Quark-Lepton ComplementarityDec 11 2011Mar 16 2012We study the complementarity between quark and lepton mixing angles (QLC), the sum of an angle in quark mixing and the corresponding angle in lepton mixing is $\pi/4$. Experimentally in the standard PDG parametrization, two such relations exist approximately. ... More
The Gini Coefficient as a Tool for Image Family Idenitification in Strong Lensing Systems with Multiple ImagesNov 11 2015The sample of cosmological strong lensing systems has been steadily growing in recent years and with the advent of the next generation of space-based survey telescopes, the sample will reach into the thousands. The accuracy of strong lens models relies ... 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
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
Constraining the Anisotropy of the Universe from Supernovae and Gamma-ray BurstsMay 13 2014Recently, an anisotropic cosmological model was proposed. An arbitrary 1-form, which picks out a privileged axis in the universe, was added to the Friedmann-Robertson-Walker line element. The distance-redshift relation was modified such that it is direction ... More
Constraining anisotropy of the universe from different groups of type-Ia supernovaeMar 22 2014Recent released Planck data and other astronomical observations show that the universe may be anisotropic on large scales. Inspired by this, anisotropic cosmological models have been proposed. We note that the Finsler-Randers spacetime provides an appropriate ... 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
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
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
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
Dynamic portfolio strategy using clustering approachAug 10 2016The problem of portfolio optimization is one of the most important issues in asset management. This paper proposes a new dynamic portfolio strategy based on the time-varying structures of MST networks in Chinese stock markets, where the market condition ... More
Transductive Optimization of Top k PrecisionOct 20 2015Consider a binary classification problem in which the learner is given a labeled training set, an unlabeled test set, and is restricted to choosing exactly $k$ test points to output as positive predictions. Problems of this kind---{\it transductive precision@$k$}---arise ... More
On QoS-assured degraded provisioning in service-differentiated multi-layer elastic optical networksJul 16 2016Jan 04 2017The emergence of new network applications is driving network operators to not only fulfill dynamic bandwidth requirements, but offer various grades of service. Degraded provisioning provides an effective solution to flexibly allocate resources in various ... More
Particle transfer and fusion cross-section for Super-heavy nuclei in dinuclear systemSep 21 2005Sep 22 2005Within the dinuclear system (DNS) conception, instead of solving Fokker-Planck Equation (FPE) analytically, the Master equation is solved numerically to calculate the fusion probability of super-heavy nuclei, so that the harmonic oscillator approximation ... More
Doubly Robust Off-policy Value Evaluation for Reinforcement LearningNov 11 2015May 26 2016We study the problem of off-policy value evaluation in reinforcement learning (RL), where one aims to estimate the value of a new policy based on data collected by a different policy. This problem is often a critical step when applying RL in real-world ... More
Relatively maximum volume rigidity in Alexandrov geometryJun 23 2011Dec 01 2011Given a compact Alexadrov $n$-space $Z$ with curvature curv $\ge \kappa$, and let $f: Z\to X$ be a distance non-increasing onto map to another Alexandrov $n$-space with curv $\ge \kappa$. The relative volume rigidity conjecture says that if $X$ achieves ... More
Constraining the Lorentz invariance violation from the continuous spectra of short gamma-ray burstsJun 29 2015Nov 16 2015In quantum gravity, a foamy structure of space-time leads to Lorentz invariance violation (LIV). As the most energetic astrophysical processes in the Universe, gamma-ray bursts (GRBs) provide an effective way to probe quantum gravity effects. We use continuous ... More
Spot size measurement of flash-radiography source utilizing the pinhole imaging methodNov 12 2015The spot size of the x-ray source is a key parameter of a flash-radiography facility, which is usually quoted as an evaluation of the resolving power. The pinhole imaging technique is applied to measure the spot size of the Dragon-I linear induction accelerator, ... More
Cutting convex polytopes by hyperplanesFeb 16 2014Cutting a polytope is a very natural way to produce new classes of interesting polytopes. Moreover, it has been very enlightening to explore which algebraic and combinatorial properties of the orignial polytope are hereditary to its subpolytopes obtained ... More
Maltese cross coupling to cold atoms in free spaceFeb 08 2019We demonstrate a novel geometry for strong coupling of light and matter in free space, i.e., without the use of optical cavities. Guided by optical metrology tools, we use a manual pick-and-place technique to precisely and stably position four high numerical ... More
Interference-Alignment and Soft-Space-Reuse Based Cooperative Transmission for Multi-cell Massive MIMO NetworksJun 16 2017As a revolutionary wireless transmission strategy, interference alignment (IA) can improve the capacity of the cell-edge users. However, the acquisition of the global channel state information (CSI) for IA leads to unacceptable overhead in the massive ... More
AIG Rewriting Using 5-Input CutsAug 18 2011Rewriting is a common approach to logic optimization based on local transformations. Most commercially available logic synthesis tools include a rewriting engine that may be used multiple times on the same netlist during optimization. This paper presents ... More
Sub-wavelength localization of near-fields in coupled metallic spheres for single emitter polarization analysisMay 21 2011We numerically demonstrate selective near-field localization determined by the polarization state of a single emitter coupled to plasmonic nano-cluster. Seven gold nanospheres are carefully arranged such that up to ten polarization states of the single ... More
Entanglement swapping and testing quantum steering into the past via collective decayOct 29 2013We propose a scheme to realize entanglement swapping via superradiance, entangling two distant cavities without a direct interaction. The successful Bell-state-measurement outcomes are performed naturally by the electromagnetic reservoir, and we show ... More
Delocalized single-photon Dicke states and the Leggett- Garg inequality in solid state systemsSep 05 2012We show how to realize a single-photon Dicke state in a large one-dimensional array of two- level systems, and discuss how to test its quantum properties. Realization of single-photon Dicke states relies on the cooperative nature of the interaction between ... More
Multi-Task Learning with Multi-View Attention for Answer Selection and Knowledge Base Question AnsweringDec 06 2018Answer selection and knowledge base question answering (KBQA) are two important tasks of question answering (QA) systems. Existing methods solve these two tasks separately, which requires large number of repetitive work and neglects the rich correlation ... More
PQCD study of the $B_{SL}$ and $n_c$ controversy in inclusive $B$ decaysMar 16 1998We calculate the semileptonic branching ratio and the charm counting of inclusive $B$ meson decays using the perturbative QCD formalism. For the nonleptonic decays, we employ the modified factorization theorem, in which Wilson coefficients evolve with ... More
Integrability of Orbifold ABJM TheoriesJul 22 2016Nov 12 2016Integrable 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
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
On the Ring of Integer-valued Quasi-polynomialsJun 28 2007Sep 20 2007The paper studies some properties of the ring of integer-valued quasi-polynomials. On this ring, theory of generalized Euclidean division and generalized GCD are presented. Applications to finite simple continued fraction expansion and Smith normal form ... More
Computation over Wide-Band MAC: Improved Achievable Rate through Sub-Function AllocationJun 22 2018Future networks are expected to connect an enormous number of nodes wirelessly using wide-band transmission. This brings great challenges. To avoid collecting a large amount of data from the massive number of nodes, computation over multi-access channel ... 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
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.
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