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Mechanisms governing phonon scattering by topological defects in graphene nanoribbonsNov 03 2016Understanding phonon scattering by topological defects in graphene is of particular interest for thermal management in graphene-based devices. We present a study that quantifies the roles of the different mechanisms governing defect phonon scattering ... More

Topological Semimetal-Insulator Quantum Phase Transition in Zintl Compounds Ba2X (X=Si, Ge)Oct 17 2016By first-principles calculations, we find that Ba2X(X=Si, Ge) hosts a topological semimetal phase with one nodal ring in the kx=0 plane, which is protected by the glide mirror symmetry when spin-orbit coupling (SOC) is ignored. The corresponding drumheadlike ... More

Additive Decompositions in Primitive ExtensionsFeb 07 2018This paper extends the classical Ostrogradsky-Hermite reduction for rational functions to more general functions in primitive extensions of certain types. For an element $f$ in such an extension $K$, the extended reduction decomposes $f$ as the sum of ... More

Topological phases in pyrochlore thallium niobate Tl$_2$Nb$_2$O$_{6+x}$Mar 03 2019Mar 05 2019The discovery of new topological electronic materials brings a chance to uncover novel physics and plays key rule in observing and controlling various intriguing phenomena. Up to now, many materials have been theoretically proposed and experimentally ... More

Triple Point Topological MetalsMay 16 2016Jun 10 2016Topologically protected fermionic quasiparticles appear in metals, where band degeneracies occur at the Fermi level, dictated by the band structure topology. While in some metals these quasiparticles are direct analogues of elementary fermionic particles ... More

Mixed field theoryNov 29 2018We consider scalar field theory defined over a direct product of the real and $p$-adic numbers. An adjustable dynamical scaling exponent $z$ enters into the microscopic lagrangian, so that the Gaussian theories provide a line of fixed points. We argue ... More

Real-Time Visual Tracking: Promoting the Robustness of Correlation Filter LearningAug 29 2016Sep 09 2016Correlation filtering based tracking model has received lots of attention and achieved great success in real-time tracking, however, the lost function in current correlation filtering paradigm could not reliably response to the appearance changes caused ... More

Composite Dirac SemimetalApr 12 2019Weak topological insulators and Dirac semimetals are gapped and nodal phases with distinct topological properties, respectively. Here, we propose a novel topological phase that exhibits features of both and is dubbed composite Dirac semimetal (CDSM). ... More

Composite Dirac SemimetalApr 12 2019Apr 16 2019Weak topological insulators and Dirac semimetals are gapped and nodal phases with distinct topological properties, respectively. Here, we propose a novel topological phase that exhibits features of both and is dubbed composite Dirac semimetal (CDSM). ... More

Smart Grid Communications: Overview of Research Challenges, Solutions, and Standardization ActivitiesDec 15 2011Optimization of energy consumption in future intelligent energy networks (or Smart Grids) will be based on grid-integrated near-real-time communications between various grid elements in generation, transmission, distribution and loads. This paper discusses ... More

Sequential Optimization for Efficient High-Quality Object Proposal GenerationNov 14 2015May 22 2017We are motivated by the need for a generic object proposal generation algorithm which achieves good balance between object detection recall, proposal localization quality and computational efficiency. We propose a novel object proposal algorithm, BING++, ... More

Nodal Loop and Nodal Surface States in Ti3Al Family MaterialsMay 04 2018May 09 2018Topological metals and semimetals are new states of matter which attract great interest in current research. Here, based on first-principles calculations and symmetry analysis, we propose that the family of titanium-based compounds Ti3X (X=Al, Ga, Sn, ... More

SYZ mirror symmetry from Witten-Morse theoryNov 22 2018This is a survey article on the recent progress in understanding the Strominger-Yau-Zaslow (SYZ) mirror symmetry conjecture, especially on the effect of quantum corrections, via Witten-Morse theory using the program first depicted by Fukaya to obtain ... More

Coloring with Words: Guiding Image Colorization Through Text-based Palette GenerationApr 11 2018Aug 07 2018This paper proposes a novel approach to generate multiple color palettes that reflect the semantics of input text and then colorize a given grayscale image according to the generated color palette. In contrast to existing approaches, our model can understand ... More

RAPID: Rapidly Accelerated Proximal Gradient Algorithms for Convex MinimizationJun 13 2014Jun 18 2014In this paper, we propose a new algorithm to speed-up the convergence of accelerated proximal gradient (APG) methods. In order to minimize a convex function $f(\mathbf{x})$, our algorithm introduces a simple line search step after each proximal gradient ... More

Learning Joint Feature Adaptation for Zero-Shot RecognitionNov 23 2016Zero-shot recognition (ZSR) aims to recognize target-domain data instances of unseen classes based on the models learned from associated pairs of seen-class source and target domain data. One of the key challenges in ZSR is the relative scarcity of source-domain ... More

Zero-Shot Learning via Joint Latent Similarity EmbeddingNov 14 2015Aug 17 2016Zero-shot recognition (ZSR) deals with the problem of predicting class labels for target domain instances based on source domain side information (e.g. attributes) of unseen classes. We formulate ZSR as a binary prediction problem. Our resulting classifier ... More

PRISM: Person Re-Identification via Structured MatchingJun 13 2014May 08 2015Person re-identification (re-id), an emerging problem in visual surveillance, deals with maintaining entities of individuals whilst they traverse various locations surveilled by a camera network. From a visual perspective re-id is challenging due to significant ... More

Learning Joint Feature Adaptation for Zero-Shot RecognitionNov 23 2016Dec 03 2016Zero-shot recognition (ZSR) aims to recognize target-domain data instances of unseen classes based on the models learned from associated pairs of seen-class source and target domain data. One of the key challenges in ZSR is the relative scarcity of source-domain ... More

Zero-Shot Learning via Semantic Similarity EmbeddingSep 15 2015Sep 25 2015In this paper we consider a version of the zero-shot learning problem where seen class source and target domain data are provided. The goal during test-time is to accurately predict the class label of an unseen target domain instance based on revealed ... More

Convergent Block Coordinate Descent for Training Tikhonov Regularized Deep Neural NetworksNov 20 2017By lifting the ReLU function into a higher dimensional space, we develop a smooth multi-convex formulation for training feed-forward deep neural networks (DNNs). This allows us to develop a block coordinate descent (BCD) training algorithm consisting ... More

Fukaya's conjecture on $S^1$-equivariant de Rham complexJan 28 2019Getzler-Jones-Petrack introduced $A_\infty$ structures on the equivariant complex for manifold $M$ with smooth $\mathbb{S}^1$ action, motivated by geometry of loop spaces. Applying Witten's deformation by Morse functions followed by homological perturbation ... More

A Note on Lipshitz's Lemma 3Oct 23 2011Nov 06 2011In this note, we give a remark on the proof of Lemma 3 in Lipshitz's paper "The diagonal of a D-Finite power series is D-Finite". This remark is motivated by the observation that the statement from line -8 to -3 on page 375 of that paper seems not completely ... More

Secure Real-Time Monitoring and Management of Smart Distribution Grid using Shared Cellular NetworksJan 13 2017The electricity production and distribution is facing two major changes. First, the production is shifting from classical energy sources such as coal and nuclear power towards renewable resources such as solar and wind. Secondly, the consumption in the ... More

Quadratic contact point semimetal: Theory and material realizationJun 27 2018Sep 20 2018Most electronic properties of metals are determined solely by the low-energy states around the Fermi level, and for topological metals/semimetals, these low-energy states become distinct because of their unusual energy dispersion and emergent pseudospin ... More

Tropical counting from asymptotic analysis on Maurer-Cartan equationsJul 21 2018Jan 31 2019Let $X = X_\Sigma$ be a toric surface and $(\check{X}, W)$ be its Landau-Ginzburg (LG) mirror where $W$ is the Hori-Vafa potential. We apply asymptotic analysis to study the extended deformation theory of the LG model $(\check{X}, W)$, and prove that ... More

Time-Delay Momentum: A Regularization Perspective on the Convergence and Generalization of Stochastic Momentum for Deep LearningMar 02 2019In this paper we study the problem of convergence and generalization error bound of stochastic momentum for deep learning from the perspective of regularization. To do so, we first interpret momentum as solving an $\ell_2$-regularized minimization problem ... More

BPGrad: Towards Global Optimality in Deep Learning via Branch and PruningNov 19 2017Understanding the global optimality in deep learning (DL) has been attracting more and more attention recently. Conventional DL solvers, however, have not been developed intentionally to seek for such global optimality. In this paper we propose a novel ... More

Group Membership PredictionSep 16 2015The group membership prediction (GMP) problem involves predicting whether or not a collection of instances share a certain semantic property. For instance, in kinship verification given a collection of images, the goal is to predict whether or not they ... More

Principal Component Analysis of collective flow in Relativistic Heavy-Ion CollisionsMar 23 2019In this paper, we implement Principal Component Analysis (PCA) to study the single particle distributions generated from thousands of {\tt VISH2+1} hydrodynamic simulations with an aim to explore if a machine could directly discover flow from the huge ... More

Efficient Training of Very Deep Neural Networks for Supervised HashingNov 14 2015Apr 21 2016In this paper, we propose training very deep neural networks (DNNs) for supervised learning of hash codes. Existing methods in this context train relatively "shallow" networks limited by the issues arising in back propagation (e.e. vanishing gradients) ... More

A Novel Visual Word Co-occurrence Model for Person Re-identificationOct 24 2014Person re-identification aims to maintain the identity of an individual in diverse locations through different non-overlapping camera views. The problem is fundamentally challenging due to appearance variations resulting from differing poses, illumination ... More

Three-dimensional Navier-Stokes equations driven by space-time white noiseMay 31 2014Jun 10 2015In this paper we study 3D Navier-Stokes (NS) equation driven by space-time white noise by using regularity structure theory introduced in [Hai14] and paracontrolled distribution proposed in [GIP13]. We obtain local existence and uniqueness of solutions ... More

Object Proposal Generation using Two-Stage Cascade SVMsJul 20 2014Object proposal algorithms have shown great promise as a first step for object recognition and detection. Good object proposal generation algorithms require high object recall rate as well as low computational cost, because generating object proposals ... More

Lattice point counting via Einstein metricsMay 21 2013We obtain a growth estimate for the number of lattice points inside any Q-Gorenstein cone. Our proof uses the result of Futaki-Ono-Wang on Sasaki-Einstein metric for the toric Sasakian manifold associated to the cone, a Yau's inequality, and the Kawasaki-Riemann-Roch ... More

A Wong-Zakai theorem for $Φ^4_3$ modelApr 16 2015We prove a version of the Wong-Zakai theorem for the dynamical $\Phi_3^4$ model driven by space-time white noise on $\mathbb{T}^3$. For the $\Phi^4_3$ model it is proved in [Hai14] that a renormalisation has to be performed in order to define the nonlinear ... More

Dimension reduction-based significance testing in nonparametric regressionOct 13 2015A dimension reduction-based adaptive-to-model test is proposed for significance of a subset of covariates in the context of a nonparametric regression model. Unlike existing local smoothing significance tests, the new test behaves like a local smoothing ... More

Piecewise linear approximation for the dynamical $Φ^4_3$ modelApr 16 2015Oct 22 2017We construct a piecewise linear approximation for the dynamical $\Phi_3^4$ model on $\mathbb{T}^3$ by the theory of regularity structures in [Hai14]. For the dynamical $\Phi^4_3$ model it is proved in [Hai14] that a renormalisation has to be performed ... More

Weak universality of the dynamical $Φ_3^4$ model on the whole spaceNov 04 2018Nov 06 2018We prove the large scale convergence of a class of stochastic weakly nonlinear reaction-diffusion models on $\mathbb{R}^3$ to the dynamical $\Phi^4_3$ model by paracontrolled distributions on weighted Besov space. Our approach depends on the delicate ... More

Dirichlet form associated with the $Φ_3^4$ modelMar 29 2017Jun 25 2017We construct the Dirichlet form associated with the dynamical $\Phi^4_3$ model obtained in [Hai14, CC13] and [MW16]. This Dirichlet form on cylinder functions is identified as a classical gradient bilinear form. As a consequence, this classical gradient ... More

Random attractor associated with the quasi-geostrophic equationMar 24 2013We study the long time behavior of the solutions to the 2D stochastic quasi-geostrophic equation on $\mathbb{T}^2$ driven by additive noise and real linear multiplicative noise in the subcritical case (i.e. $\alpha>1/2$) by proving the existence of a ... More

Strong-Feller property for Navier-Stokes equations driven by space-time white noiseSep 27 2017Sep 29 2017In this paper we prove strong Feller property for the Markov semigroups associated to the two or three dimensional Navier-Stokes (N-S) equations driven by space-time white noise using the theory of regularity structures introduced by Martin Hairer in ... More

Three-dimensional Navier-Stokes equations driven by space-time white noiseMay 31 2014Jan 04 2017In this paper we study 3D Navier-Stokes (NS) equation driven by space-time white noise by using regularity structure theory introduced in [Hai14] and paracontrolled distribution proposed in [GIP13]. We obtain local existence and uniqueness of solutions ... More

Lattice approximation to the dynamical $Φ_3^4$ modelAug 23 2015We study the lattice approximations to the dynamical $\Phi^4_3$ model by paracontrolled distributions proposed in [GIP13]. We prove that the solutions to the lattice systems converge to the solution to the dynamical $\Phi_3^4$ model in probability, locally ... More

Approximating three-dimensional Navier-Stokes equations driven by space-time white noiseSep 17 2014In this paper we study approximations to 3D Navier-Stokes (NS) equation driven by space-time white noise by paracontrolled distribution proposed in [GIP13]. A solution theory for this equation has been developed recently in [ZZ14] based on regularity ... More

Dialogue Generation: From Imitation Learning to Inverse Reinforcement LearningDec 09 2018The performance of adversarial dialogue generation models relies on the quality of the reward signal produced by the discriminator. The reward signal from a poor discriminator can be very sparse and unstable, which may lead the generator to fall into ... More

Deformable Part NetworksMay 22 2018In this paper we propose novel Deformable Part Networks (DPNs) to learn {\em pose-invariant} representations for 2D object recognition. In contrast to the state-of-the-art pose-aware networks such as CapsNet \cite{sabour2017dynamic} and STN \cite{jaderberg2015spatial}, ... More

Frenkel-Gross' irregular connection and Heinloth-Ngô-Yun's are the sameMar 18 2016Apr 04 2016We show that the irregular connection on G_m constructed by Frenkel-Gross (2009) and the one constructed by Heinloth-Ng\^o-Yun (2013) are the same, which confirms a conjecture of the latter author's.

Simulation Study of Laser Plasma Accelerator Via VorpalJan 03 2015In this paper, we use PIC code Vorpal to do the extensive simulation about the laser plasma accelerator in the linear, quasilinear and nonlinear regime respectively. We design the ~100 MeV or so laser plasma accelerator ( LPA ) via Vorpal simulation. ... More

Projective dimension and the regularity of the path ideal of the line graphOct 10 2016By generalizing the notion of the path ideal of a graph, we study some algebraic properties of some path ideals associated to a line graph. We show that the quotient ring of these ideals are always Cohen-Macaulay and also provide some exact formulas for ... More

$\mathbb{A}^1$-equivalence of zero cycles on surfacesOct 06 2015Oct 18 2015In this paper, we study $\mathbb{A}^1$-equivalence classes of zero cycles on open complex algebraic surfaces. We prove the logarithmic version of Mumford's theorem on zero cycles and prove that log Bloch's conjecture holds for quasiprojective surfaces ... More

An upper bound for the probability of visiting a distant point by critical branching random walk in $\mathbb{Z}^4$Mar 01 2015In this paper, we solve an open question raised by Le Gall and Lin. We study the probability of visiting a distant point $a\in \mathbb{Z}^4$ by critical branching random walk starting from the origin. We prove that this probability is bounded by $1/(|a|^2\log ... More

The higher sharp IIApr 19 2016Aug 02 2016We establish the descriptive set theoretic representation of the mouse $M_n^{#}$, which is called $0^{(n+1)#}$. This part deals with the case $n>3$.

Modular equations for Lubin-Tate formal groups at chromatic level 2Aug 13 2015We give an integral lift of the Kronecker congruence for moduli of finite subgroups of elliptic curves. This leads to a uniform presentation for the power operation structure on Morava E-theories of height 2.

Molecular Model Checking a Temporal LogicAug 05 2016Aug 09 2016The molecular computing has been successfully employed to solve more and more complex computation problems. However, as an important complex problem, the model checking are still far from fully resolved under the circumstance of molecular computing, since ... More

Exotic in Leptonic MachinesAug 07 2014Selected topics of exotics in leptonic machines are presented, including recent discovery of abnormal structures around the ppbar threshold and new information of the XYZ (charmonium-like) states.

Asymptotic Structure of Constrained Exponential Random Graph ModelsAug 07 2014Oct 25 2015In this paper, we study exponential random graph models subject to certain constraints. We obtain some general results about the asymptotic structure of the model. We show that there exists non-trivial regions in the phase plane where the asymptotic structure ... More

Hole probabilities of SU(m+1) Gaussian random polynomialsMar 31 2014In this paper, we study hole probabilities $P_{0,m}(r,N)$ of SU(m+1) Gaussian random polynomials of degree $N$ over a polydisc $(D(0,r))^m$. When $r\geq1$, we find asymptotic formulas and decay rate of $\log{P_{0,m}(r,N)}$. In dimension one, we also consider ... More

Quantitative uniqueness of elliptic equationsDec 02 2013Dec 22 2014Based on a variant of frequency function, we improve the vanishing order of solutions for Schr\"{o}dinger equations which describes quantitative behavior of strong uniqueness continuation property. For the first time, we investigate the quantitative uniqueness ... More

Gluing formula of real analytic torsion forms and adiabatic limitMay 22 2014In this article we use the adiabatic method to prove the gluing formula of real analytic torsion forms for a flat vector bundle on a smooth fibration under the assumption that the fiberwise twisted cohomology groups associated to the fibration of the ... More

Recent Electroweak Results from the TevatronJul 18 2009I present the recent electroweak measurements related to single W, Z boson and diboson productions from the CDF and D0 experiments at the Fermilab Tevatron collider.

Electroweak and QCD Results from the TevatronSep 02 2011We report the latest electroweak and QCD results from two Tevatron experiments.

Stabilisation of Damped Waves on Spheres and on Zoll's Surfaces of RevolutionApr 18 2016We are interested in the strong stabilisation of damped waves when the geometric control condition is not satisfied. We begin with an unpublished result due to Gilles Lebeau, of the strong stabilisation of damped waves on $\mathbb{S}^d$, with the damping ... More

A New Framework for Ranking Vulnerabilities in the CloudsNov 23 2016Qualifying and ranking threat degrees of vulnerabilities in cloud service are known to be full of challenges. Although there have been several efforts aiming to address this problem, most of them are too simple or cannot be applied into cloud infrastructure. ... More

Line-soliton and rational solutions to (2+1)-dimensional Boussinesq equation by Dbar-problemApr 10 2017May 01 2017We present a generalized (2+1)-dimensional Boussinesq equation, including two cases which are called the plus Boussinesq equation and the minus one. To investigate these equations, we apply the $\bar{\partial}$ approach to a coupled (2+1)-dimensional ... More

On the 1-density of Unit Ball CoveringNov 13 2007Dec 20 2007Motivated by modern applications like image processing and wireless sensor networks, we consider a variation of the famous Kepler Conjecture. Given any infinite set of unit balls covering the whole space, we want to know the optimal (lim sup) density ... More

Derived equivalence between Shioda's fourfold and CM Mumford fourfoldOct 23 2018Shioda proved that the Jacobian $A_S$ of the curve $y^2 = x^9 -1$ is a 4-dimensional CM abelian variety with codimension 2 Hodge cycles not generated by divisors. It was noted by Shioda that this behavior resembles the abelian varieties constructed by ... More

Integer Matrix Exact Covering Systems and Product Identities for Theta FunctionsMay 27 2010In this paper, we prove that there is a natural correspondence between product identities for theta functions and integer matrix exact covering systems. We show that since $\mathbb{Z}^n$ can be taken as the disjoint union of a lattice generated by $n$ ... More

Stability on Kähler-Ricci flow, IAug 11 2009In this paper, we prove that K\"ahler-Ricci flow converges to a K\"ahler-Einstein metric (or a K\"ahler-Ricci soliton) in the sense of Cheeger-Gromov as long as an initial K\"ahler metric is very closed to $g_{KE}$ (or $g_{KS}$) if a compact K\"ahler ... More

Comments on "Anomalous Hydrodynamic Drafting of Interacting Flapping Flags"May 08 2009We make remarks on Ristroph and Zhang's [{\it Phys. Rev. Lett.} {\bf 101}, 194502 (2008)] paper. We argue especially that due to the interferences the calibration procedures in [1] were not complete and this will induce some measurements' error.

Nonnegative Matrix Factorization (NMF) with Heteroscedastic Uncertainties and Missing dataDec 19 2016Dimensionality reduction and matrix factorization techniques are important and useful machine-learning techniques in many fields. Nonnegative matrix factorization (NMF) is particularly useful for spectral analysis and image processing in astronomy. I ... More

BEC-BCS Crossover with Feshbach Resonance for Three-Hyperfine-Species ModelDec 30 2012In a Feshbach resonance, the effective s-wave scattering length grows when one moves toward the resonance point, and eventually diverges at this point. There is one characteristic energy scale, $\delta_c$, defined as, in the negative side of the resonance ... More

Bd \to π^- K^{(*)+} and Bs \to π^+(ρ^+) K^- decays with QCD factorization and flavor symmetryFeb 24 2010May 06 2010The QCD factorization (QCDF) method usually contains infrared divergences which introduce large model dependence to its predictions on charmless B decays. The amplitudes of charmless B decays can be decomposed into "tree" and "penguin" parts which are ... More

Fast Video Retargeting Based on Seam Carving with Parental LabelingMar 07 2019Seam carving is a state-of-the-art content-aware image resizing technique that effectively preserves the salient areas of an image. However, when applied to video retargeting, not only is it time intensive, but it also creates highly visible frame-wise ... More

Log canonical thresholds in positive characteristicAug 25 2013In this paper, we study the singularities of a pair (X,Y) in arbitrary characteristic via jet schemes. For a smooth variety X in characteristic 0, Ein, Lazarsfeld and Mustata showed that there is a correspondence between irreducible closed cylinders and ... More

Elliptic genera of Berglund-Hübsch modelsDec 25 2010We match the elliptic genus of a Berglund-H\"ubsch model with the supertrace of $y^{J[0]}q^{L[0]}$ on a vertex algebra $V_{{\bf 1}, {\bf 1}}$. We show that it is a weak Jacobi form and the elliptic genus of one theory is equal to (up to a sign) the elliptic ... More

Two Boundary Centralizer Algebras for $\mathfrak{q}(n)$Jan 29 2019We define the degenerate two boundary affine Hecke-Clifford algebra $\mathcal{H}_d$, and show it admits a well-defined $\mathfrak{q}(n)$-linear action on the tensor space $M\otimes N\otimes V^{\otimes d}$, where $V$ is the natural module for $\mathfrak{q}(n)$, ... More

A comment on the "A unified Bayesian inference framework for generalized linear models"Apr 09 2019The recent work `A unified Bayesian inference framework for generalized linear models' \cite{meng1} shows that the GLM can be solved via iterating between the standard linear module (SLM) (running with standard Bayesian algorithm) and the minimum mean ... More

Hidden charm octet tetraquarks from a diquark-antidiquark modelJul 11 2016Aug 10 2016Four exotic charmonium-like states, i.e. $X(4140)$, $X(4274)$, $X(4500)$, and $X(4700)$, have been observed very recently by LHCb Collaboration in the decay process $B^+\to J/\psi \phi K^+$ using the 3${\rm fb}^{-1}$ data of $p\bar p$ collision at $\sqrt ... More

Grace: a Cross-platform Micromagnetic Simulator On Graphics Processing UnitsNov 10 2014A micromagnetic simulator running on graphics processing unit (GPU) is presented. It achieves significant performance boost as compared to previous central processing unit (CPU) simulators, up to two orders of magnitude for large input problems. Different ... More

Spin-dependent Fano resonance induced by conducting chiral helimagnet contained in a quasi-one-dimensional electron waveguideJul 02 2012Jan 26 2013Fano resonance appears for conduction through an electron waveguide containing donor impurities. In this work, we consider the thin-film conducting chiral helimagnet (CCH) as the donor impurity in a one-dimensional waveguide model. Due to the spin spiral ... More

Taming the heavy-tailed features by shrinkage and clippingOct 24 2017In this paper, we consider the generalized linear models (GLM) with heavy-tailed features and corruptions. Besides clipping the response, we propose to shrink the feature vector by its $\ell_4$-norm under the low dimensional regime and clip each entry ... More

Poisson Subsampling Algorithms for Large Sample Linear Regression in Massive DataSep 07 2015Nov 23 2015Large sample size brings the computation bottleneck for modern data analysis. Subsampling is one of efficient strategies to handle this problem. In previous studies, researchers make more fo- cus on subsampling with replacement (SSR) than on subsampling ... More

Factorization for radiative heavy quarkonium decays into scalar GlueballAug 06 2015Sep 22 2015We establish the factorization formula for scalar Glueball production through radiative decays of vector states of heavy quarkonia, e.g. $J/\psi$, $\psi(2S)$ and $\Upsilon(nS)$, where the Glueball mass is much less than the parent heavy quarkonium mass. ... More

The Exclusive Decay of Upsilon into $h_c$, the $X(3940)$ and $X(4160)$Jul 08 2015Oct 13 2015In this paper, we study double charmonia production in Upsilon peaks, especially, a S-wave charmonium $\eta_c$ and a P-wave charmonium $h_c(^1P_1)$, or a S-wave charmonium $J/\psi$ and the $X(3940)$ and $X(4160)$ within the nonrelativistic QCD (NRQCD) ... More

Viscosity solutions to second order parabolic PDEs on Riemannian manifoldsJun 08 2010In this work we consider viscosity solutions to second order parabolic PDEs $u_{t}+F(t,x,u,du,d^{2}u)=0$ defined on compact Riemannian manifolds with boundary conditions. We prove comparison, uniqueness and existence results for the solutions. Under the ... More

Structure of Clifford Semigroups of MatricesJun 22 2010In this paper, we characterize completely the structure of Clifford semigroups of matrices over an arbitrary field. It is shown that a semigroups of matrices of finite order is a Clifford semigroup if and only if it is isomorphic to a subdirect product ... More

Iterates of $M_1$May 30 2017Jul 30 2018Assume $\boldsymbol{\Delta}^1_{2}$-determinacy. Let $L_{\kappa_3}[T_2]$ be the admissible closure of the Martin-Solovay tree and let $M_{1,\infty}$ be the direct limit of $M_1$ via countable trees. We show that $L_{\kappa_3}[T_2] \cap V_{u_{\omega}} = ... More

A State-Dependent Dual Risk ModelOct 13 2015In a dual risk model, the premiums are considered as the costs and the claims are regarded as the profits. The surplus can be interpreted as the wealth of a venture capital, whose profits depend on research and development. In most of the existing literature ... More

Nonlinear Hawkes ProcessesApr 28 2013Jun 23 2013The Hawkes process is a simple point process that has long memory, clustering effect, self-exciting property and is in general non-Markovian. The future evolution of a self-exciting point process is influenced by the timing of the past events. There are ... More

The effect of minijet on hadron spectra and azimuthal anisotropy in heavy-ion collisionsJun 30 2016Here I review the transverse momentum distributions of identified hadrons produced in Au-Au collisions at RHIC and Pb-Pb collisions at LHC in the framework of recombination model. Minijets play an important role in generating shower partons in the intermediate ... More

Asymptotic Structure of Constrained Exponential Random Graph ModelsAug 07 2014Feb 24 2017In this paper, we study exponential random graph models subject to certain constraints. We obtain some general results about the asymptotic structure of the model. We show that there exists non-trivial regions in the phase plane where the asymptotic structure ... More

Asymptotic uniformity of the quantization error for Moran measures on $\mathbb{R}^1$Feb 11 2018Let $E$ be a Moran set on $\mathbb{R}^1$ associated with a closed interval $J$ and two sequences $(n_k)_{k=1}^\infty$ and $(\mathcal{C}_k=(c_{k,j})_{j=1}^{n_k})_{k\geq1}$. Let $\mu$ be the infinite product measure (Moran measure) on $E$ associated with ... More

Some Issues on the Theory of the Mimic-Computing-Oriented AutomataJan 27 2018A mimic computing oriented automaton can directly portray the behaviors of a mimic computing system. In this paper, we investigate the following theoretical problems on this type of automata: operational semantics and computational ability. First, we ... More

A novel type of Automata for dynamic, heterogeneous and random architecturesFeb 08 2017Mar 05 2017In this paper, the author aims to establish a mathematical model for a mimic computer. To this end, a novel automaton is proposed. First, a one-dimensional cellular automaton is used for expressing some dynamic changes in the structure of a computing ... More

Fitting a Model to Data in Loss TomographyJul 20 2011Loss tomography has received considerable attention in recent years and a number of estimators have been proposed. Although most of the estimators claim to be the maximum likelihood estimators, the claim is only partially true since the maximum likelihood ... More

On the model-checking-based IDSJun 25 2018How to identify the comprehensive comparable performance of various Intrusion Detection (ID) algorithms which are based on the Model Checking (MC) techniques? To address this open issue, we conduct some tests for the model-checking-based intrusion detection ... More

Improved Bethe-Heitler formulaJan 01 2019The bremsstrahlung cross section of electron in the atomic electric field is re-derived using the time ordered perturbative theory. The results are compared with the Bethe-Heitler formula. We indicate that both the TOPT-description and a soft version ... More

Multiqubit Clifford groups are unitary 3-designsOct 09 2015Jan 08 2018Unitary $t$-designs are a ubiquitous tool in many research areas, including randomized benchmarking, quantum process tomography, and scrambling. Despite the intensive efforts of many researchers, little is known about unitary $t$-designs with $t\geq3$ ... More

Sharply covariant mutually unbiased basesFeb 27 2015Mutually unbiased bases (MUB) are an elusive discrete structure in Hilbert spaces. Many (complete sets of) MUB are group covariant, but little is known whether they can be sharply covariant in the sense that the generating groups can have order equal ... More