Results for "Kaizhao Liang"

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Big but Imperceptible Adversarial Perturbations via Semantic ManipulationApr 12 2019Machine learning, especially deep learning, is widely applied to a range of applications including computer vision, robotics and natural language processing. However, it has been shown that machine learning models are vulnerable to adversarial examples, ... More
A two-level distributed algorithm for general constrained non-convex optimization with global convergenceFeb 20 2019This paper is motivated by the desire to develop distributed algorithms for nonconvex optimization problems with complicated constraints associated with a network. The network can be a physical one, such as an electric power network, where the constraints ... More
On Information-Theoretic Scaling Laws for Wireless NetworksSep 07 2008Jul 07 2009With the analysis of the hierarchical scheme, the potential influence of the pre-constant in deriving scaling laws is exposed. It is found that a modified hierarchical scheme can achieve a throughput arbitrarily times higher than the original one, although ... More
Omnidirectional Relay in Wireless NetworksNov 29 2008Nov 14 2010For wireless networks with multiple sources, an omnidirectional relay scheme is developed, where each node can simultaneously relay different messages in different directions. This is accomplished by the decode-and-forward relay strategy, with each relay ... More
A Greedy Omnidirectional Relay SchemeJan 12 2009Feb 17 2009A greedy omnidirectional relay scheme is developed, and the corresponding achievable rate region is obtained for the all-source all-cast problem. The discussions are first based on the general discrete memoryless channel model, and then applied to the ... More
An Improvement of Cover/El Gamal's Compress-and-Forward Relay SchemeAug 02 2009Aug 15 2009The compress-and-forward relay scheme developed by (Cover and El Gamal, 1979) is improved with a modification on the decoding process. The improvement follows as a result of realizing that it is not necessary for the destination to decode the compressed ... More
Hexagonal Warping Effects in the Surface States of Topological Insulator Bi$_2$Te$_3$Aug 10 2009Dec 21 2009A single two-dimensinoal Dirac fermion state has been recently observed on the surface of topological insulator Bi$_2$Te$_3$ by angle-resolved photoemission spectroscopy (ARPES). We study the surface band structure using $k \cdot p$ theory and find an ... More
Locally solid topological lattice-ordered groupsApr 23 2014Jun 02 2015Locally solid Riesz spaces have been widely investigated in the past several decades; but locally solid topological lattice-ordered groups seem to be largely unexplored. The paper is an attempt to initiate a relatively systematic study of locally solid ... More
Order bornological spaces and order ultrabornological spacesAug 31 2015Ordered locally convex spaces is an important classes of spaces in the theory of ordered topological vector spaces just as locally convex spaces in the theory of topological vector spaces. Some special classes of ordered locally convex spaces such as ... More
Semi-Wave Solutions of KPP-Fisher Equations with Free Boundaries in Spatially Almost Periodic MediaDec 20 2016In this paper we prove the existence and uniqueness of the almost periodic semi- wave (traveling wave) solutions of KPP-Fisher equations with free boundaries in spatially almost periodic media.
Sequence Training and Adaptation of Highway Deep Neural NetworksJul 07 2016Mar 22 2017Highway deep neural network (HDNN) is a type of depth-gated feedforward neural network, which has shown to be easier to train with more hidden layers and also generalise better compared to conventional plain deep neural networks (DNNs). Previously, we ... More
Algorithms And Programming On The Minimal Combinations Of Weights Of Projective HypersurfacesJul 30 2018This paper designs an alogrithm to compute the minimal combinations of finite sets in Euclidean spaces, and applys the algorithm of study the moment maps and geometric invariant stability of hypersurfaces. The classical example of cubic curves is repeated ... More
Learning Executable Semantic Parsers for Natural Language UnderstandingMar 22 2016For building question answering systems and natural language interfaces, semantic parsing has emerged as an important and powerful paradigm. Semantic parsers map natural language into logical forms, the classic representation for many important linguistic ... More
Regularity for minimal sets near a union of two planesMar 02 2012May 13 2012We discuss the global regularity of 2 dimensional minimal sets that are near a union of two planes, and prove that every global minimal set in R^4 that looks like a union of two almost orthogonal planes at infinity is a cone. The main point is to use ... More
Global regularity for minimal sets near a $\T$ set and counterexamplesDec 15 2011Mar 02 2012We discuss the global regularity for 2 dimensional minimal sets that are near a $\T$ set, that is, whether every global minimal set in $\R^n$ that looks like a $\T$ set at infinity is a $\T$ set or not. The main point is to use the topological properties ... More
An exact axisymmetric spiral solution of incompressible 3D Euler equationsJan 29 2011Jul 31 2011Spiral structure is one of the most common structures in the nature flows. A general steady spiral solution of incompressible inviscid axisymmetric flow was obtained analytically by applying separation of variables to the 3D Euler equations. The solution, ... More
Some universal properties of Levin-Wen modelsNov 20 2012We review the key steps of the construction of Levin-Wen type of models on lattices with boundaries and defects of codimension 1,2,3 in a joint work with Alexei Kitaev. We emphasize some universal properties, such as boundary-bulk duality and duality-defect ... More
Construction of the new silicon microstrips tracker for the Phase-II ATLAS detectorApr 28 2018In next ten years, the Large Hadron Collider will be upgraded to the High Luminosity LHC (HL-LHC), resulting in ten time more integrated luminosity. To withstand the much harsher radiation and occupancy conditions of the HL-LHC, the inner tracker of the ... More
Asymptotic Analysis of the Wigner $3j$-Symbol in the Bargmann RepresentationApr 28 2011We derive the leading asymptotic limit of the Wigner $3j$-symbol from a stationary phase approximation of a twelve dimensional integral, obtained from an inner product between two exact Bargmann wavefunctions. We show that, by the construction of the ... More
Semiclassical Analysis of the Wigner $12j$ Symbol with One Small Angular MomentumApr 17 2011Jul 31 2011We derive an asymptotic formula for the Wigner $12j$ symbol, in the limit of one small and 11 large angular momenta. There are two kinds of asymptotic formulas for the $12j$ symbol with one small angular momentum. We present the first kind of formula ... More
Dissipation of Nonlinear Alfven Waves with Current Sheets in Relativistic PlasmasFeb 27 2009We present results from 2.5-dimensional Particle-in-Cell simulations of the interaction of nonlinear Alfven waves with thin current sheets in relativistic plasmas. We find that the Alfven waves cause the current sheet to bend and kink and increase its ... More
Computation of protein geometry and its applications: Packing and function predictionJan 14 2006This chapter discusses geometric models of biomolecules and geometric constructs, including the union of ball model, the weigthed Voronoi diagram, the weighted Delaunay triangulation, and the alpha shapes. These geometric constructs enable fast and analytical ... More
The linear topology associated with weak convergence of probability measuresDec 23 2013Oct 02 2014This expository note aims at illustrating weak convergence of probability measures from a broader view than a previously published paper. Though the results are standard for functional analysts, this approach is rarely known by statisticians and our presentation ... More
Unique tangent behavior for 1-dimensional stationary varifoldsAug 30 2018We prove that, without any assumption on lower density bound or codimension, any 1-dimensional stationary varifold on any Riemannian manifold admits unique tangent behaviour everywhere.
Signed and Minus Domination in Complete Multipartite GraphsMay 02 2012In this paper we determine the exact values of the signed domination number, signed total domination number, and minus domination number of complete multipartite graphs, which substantially generalizes some previous results obtained for special subclasses ... More
Approximation faible pour les 0-cycles sur un produit de variétés rationnellement connexesSep 09 2014Mar 11 2015Consider weak approximation for 0-cycles on a smooth proper variety defined over a number field, it is conjectured to be controlled by its Brauer group. Let $X$ be a Ch\^atelet surface or a smooth compactification of a homogeneous space of a connected ... More
Principe local-global pour les zéro-cycles sur certaines fibrations au-dessus d'une courbe : IJun 13 2010May 05 2011Let $X$ be a smooth projective variety over a number field, fibered over a curve, with geometrically integral fibers. We prove that, supposing the finiteness of $\sha(Jac(C))$, if the fibers over a generalised Hilbertian subset satisfy the Hasse principle ... More
Uniqueness of 2-dimensional minimal cones in $\mathbb{R}^3$Aug 29 2018In this article we treat two closely related problems: 1) the upper semi continuity property for Almgren minimal sets in regions with regular boundary, which guanrantees that the uniqueness property is well defined; and 2) the Almgren (resp. topological) ... More
Measure and sliding stability for 2-dimensional minimal cones in Euclidean spacesAug 29 2018In this article we prove the measure stability for all 2-dimensional Almgren minimal cones in $\mathbb{R}^n$, and the Almgren (resp. topological) sliding stability for the 2-dimensional Almgren (resp. topological) minimal cones in $\mathbb{R}^3$. As proved ... More
Open-closed field algebrasOct 09 2006Aug 12 2007We introduce the notions of open-closed field algebra and open-closed field algebra over a vertex operator algebra V. In the case that V satisfies certain finiteness and reductivity conditions, we show that an open-closed field algebra over V canonically ... More
Pulsar Magnetic Field Oscillation Model and Verification MethodSep 27 2007May 06 2014We constructed the magnetic field oscillation model (hereafter the MO model) by analogizing the periodically reversing phenomenon of the solar magnetic field to pulsars. Almost all kinds of pulsar radiation phenomena are best explained using the MO model, ... More
Six Methods for Distinguishing Rotation and Reversal in a Stellar Magnetic FieldApr 16 2009Periodic changes in a stellar magnetic field can be explained in two ways: the oblique rotator model or the solar cycle model. Although many papers favor the oblique rotator model, there has not been enough evidence to rule out the solar cycle model definitively. ... More
Three Mistakes in Pulsar ElectrodynamicsAug 23 2010In the paper Pulsar Electrodynamics, published in 1969, Goldreich and Julian propose some basic properties of pulsars, such as the oft-cited Goldreich-Julian density, light cylinder, open and closed magnetic field lines, corotation and so on. However, ... More
On the Optimal Compressions in the Compress-and-Forward Relay SchemesSep 29 2010Feb 20 2011..... joint decoding provides more freedom in choosing the compression at the relay. However, the question remains whether this freedom of selecting the compression necessarily improves the achievable rate of the original message. It has been shown in ... More
Computing Naturally in the Billiard Ball ModelSep 20 2009Fredkin's Billiard Ball Model (BBM) is considered one of the fundamental models of collision-based computing, and it is essentially based on elastic collisions of mobile billiard balls. Moreover, fixed mirrors or reflectors are brought into the model ... More
Axisymmetrically Tropical Cyclone-like Vortices with Secondary CirculationsSep 07 2013The secondary circulation of the tropical cyclone (TC) is related to its formation and intensification, thus becomes very important in the studies. The analytical solutions have both the primary and secondary circulation in a three-dimensionally nonhydrostatic ... More
Identify the diapycnical eddy diffusivities by salt fingers and turbulence with vertical microstructure measurementsJun 23 2014Diapycnical eddy diffusivities are formulated from physical relations according to a simple fact that the different formulas are identical for the same parameter. It is found that the dispassion ratio \Gamma is a crucial parameter. When it is above a ... More
FairCache: Introducing Fairness to ICN Caching - Technical ReportNov 28 2014Jan 28 2016Information-centric networking extensively uses universal in-network caching. However, developing an efficient and fair collaborative caching algorithm for selfish caches is still an open question. In addition, the communication overhead induced by collaboration ... More
Spectral and Energy Efficiency of Parallel Gaussian Broadcast ChannelsJun 23 2016Spectral efficiency and energy efficiency are important design criteria for green communications systems and networks. In this paper, spectral efficiency and energy efficiency are addressed for communications over parallel Gaussian broadcast channels ... More
Real root refinements for univariate polynomial equationsNov 19 2012Real root finding of polynomial equations is a basic problem in computer algebra. This task is usually divided into two parts: isolation and refinement. In this paper, we propose two algorithms LZ1 and LZ2 to refine real roots of univariate polynomial ... More
Extractions: Computable and Visible Analogues of Localizations for Polynomial IdealsFeb 13 2015When studying local properties of a polynomial ideal, one usually needs a theoretic technique called localization. For most cases, in spite of its importance, the computation in a localized ring cannot be algorithmically preformed. On the other hand, ... More
Large-time behavior for spherically symmetric flow of viscous polytropic gas in exterior unbounded domain with large initial dataMay 03 2014This paper deals with the spherically symmetric flow of compressible viscous and polytropic ideal fluid in unbounded domain exterior to a ball in $\rr (n\ge2).$ We show that the global solutions are convergent as time goes to infinity. The critical step ... More
Stable Recursive Subhomogeneous AlgebrasDec 12 2011In this paper, we introduce stable recursive subhomogeneous algebras (SRSHAs), which is analogous to recursive subhomogeneous algebras (RSHAs) introduced by N. C. Phillips in the studies of free minimal integer actions on compact metric spaces. The difference ... More
Pseudospin symmetry in nuclear structure and its supersymmetric representationJun 28 2016The quasi-degeneracy between the single-particle states $(n,\,l,\,j=l+1/2)$ and $(n-1,\,l+2,\,j=l+3/2)$ indicates a special and hidden symmetry in atomic nuclei---the so-called pseudospin symmetry (PSS)---which is an important concept in both spherical ... More
A Radio Halo Found in the Hottest Known Cluster of Galaxies 1E0658-56Jul 05 1999We report the detection of a diffuse radio halo source in the hottest known cluster of galaxies 1E0658-56 (RXJ0658-5557). The radio halo has a morphology similar to the X-ray emission from the hot intracluster medium. The detection of such a strong radio ... More
Law of total probability and Bayes' theorem in Riesz spacesJan 31 2015This note generalizes the notion of conditional probability to Riesz spaces using the order-theoretic approach. With the aid of this concept, we establish the law of total probability and Bayes' theorem in Riesz spaces; we also prove an inclusion-exclusion ... More
The curvature of spectral energy distribution of blazarsMay 06 2014The SED of blazars show significant curvature. In this paper, we study the curvature properties for a large sample of Fermi/LAT bright blazars based on quasi-simultaneous SED. Both SEDs of synchrotron and inverse Compton (IC) components are fitted by ... More
Event-plane dependent away-side jet-like correlation shape in Au+Au collisions at $\sqrt{s_{NN}}=200$ GeV from STARFeb 16 2019We employ a data-driven method to subtract the flow background of all harmonics by calculating the difference of the two-particle correlations between the close-region and far-region, determined depending on the pseudo-rapidity ($\eta$) distance from ... More
Limits of topological minimal sets with finitely generated coefficient groupsMar 15 2014May 21 2015We prove that Hausdorff limit of topological minimal sets (with finitely generated coefficient group) are topologically minimal. The key idea is to reduce the homology group on the space to the homology group on the sphere, and reduce the homology group ... More
Simulating the future urban growth in Xiongan New Area: a upcoming big city in ChinaMar 16 2018China made the announement to create the Xiongan New Area in Hebei in April 1,2017. Thus a new magacity about 110km south west of Beijing will emerge. Xiongan New Area is of great practial significant and historical significant for transferring Beijing's ... More
Toward Computation and Memory Efficient Neural Network Acoustic Models with Binary Weights and ActivationsJun 28 2017Jul 04 2017Neural network acoustic models have significantly advanced state of the art speech recognition over the past few years. However, they are usually computationally expensive due to the large number of matrix-vector multiplications and nonlinearity operations. ... More
Non-Left-Orderable Surgeries on 1-Bridge BraidsNov 30 2017Boyer, Gordon, and Watson have conjectured that an irreducible rational homology 3-sphere is an L-space if and only if its fundamental group is not left-orderable. Since Dehn surgeries on knots in $S^3$ can produce large families of L-spaces, it is natural ... More
Tripartite Blind Quantum ComputationNov 25 2013This paper proposes a model of tripartite blind quantum computation (TBQC), in which three independent participants hold different resources and accomplish a computational task through cooperation. The three participants are called C,S,T separately, where ... More
Collatz's "3x+1" problem and iterative maps on intervalAug 29 2006Oct 12 2006In this paper, we convert Collatz map into a simple conjugate iterative maps defined in [0,1]. Such maps are more familiar to us and easier to deal with. Some new features of this map are observed by this method. An interesting heuristic proof is also ... More
Gröbner bases bounds for modulesMay 18 2019Let $F$ be a non-negatively graded free module over a polynomial ring $\mathbb{K}[x_1,\dots,x_n]$ generated by $m$ basis elements. Let $M$ be a submodule of $F$ generated by elements in $F$ with degrees bounded by $D$ and dim $F/M$=$r$. We prove that ... More
Numerical Investigation of Isolated Crescent SingularityOct 27 2006Apr 25 2008In this paper we examine numerically the properties, especially the scaling properties, of an isolated crescent singularity similar to that of a developable cone. The desired isolated crescent region is produced by applying six potential forces to an ... More
On the Riesz decomposition property and the interpolation property of stopping timesSep 17 2013Feb 15 2016It is known that random variables have the Riesz decomposition property and the interpolation property. These properties are not only interesting in their own rights; they have been applied to quantitative finance and actuarial mathematics. One would ... More
Entropy on modules over the group ring of a sofic groupOct 11 2017We partially generalize Peters' formula on modules over the group ring ${\mathbb F} \Gamma$ for a given finite field ${\mathbb F}$ and a sofic group $\Gamma$. It is also discussed that how the values of entropy are related to the zero divisor conjecture. ... More
On refined ramification filtrations in the equal characteristic caseNov 09 2009Dec 19 2011Let k be a complete discrete valuation field of equal characteristic p>0. Using the tools of p-adic differential modules, we define refined Artin and Swan conductors for a representation of the absolute Galois group $G_k$ with finite local monodromy; ... More
A Note on $\aleph_{0}$-injective RingsOct 30 2007May 23 2010A ring $R$ is called right $\aleph_{0}$-injective if every homomorphism from a countably generated right ideal of $R$ to $R_{R}$ can be extended to a homomorphism from $R_{R}$ to $R_{R}$. In this note, some characterizations of $\aleph_{0}$-injective ... More
Influence of subgrid scale models on the buffer sublayer in channel flowAug 31 2017Subgrid-scale (SGS) models are critical in large-eddy simulations (LES) of turbulent flows. In this paper we conduct a comparative study on different SGS models, including one-k-equation, wall-adapting local eddy-viscosity (WALE), Sigma and shear-constrained ... More
Measurement of directed flow of $D^{0}$ and $\bar{D^{0}}$ mesons in 200 GeV Au+Au collisions at RHIC using the STAR detectorJan 17 2019Charm quarks, owing to their large mass, are produced predominantly in the initial hard scatterings in heavy-ion collisions, and therefore can be a valuable tool for studying the early time dynamics of these collisions. The rapidity-odd directed flow ... More
Comoving acceleration of overdense electron-positron plasma by colliding ultra-intense laser pulsesMar 17 2006Particle-in-cell (PIC) simulation results of sustained acceleration of electron-positron (e+e-) plasmas by comoving electromagnetic (EM) pulses are presented. When a thin slab of overdense e+e- plasma is irradiated with linear-polarized ultra-intense ... More
Large-time behavior for spherically symmetric flow of viscous polytropic gas in exterior unbounded domain with large initial dataMay 03 2014Jan 14 2017This paper deals with the spherically symmetric flow of compressible viscous and polytropic ideal fluid in unbounded domain exterior to a ball in $\mathbb{R}^n$ with $n\ge2$. We show that the global solutions are convergent as time goes to infinity. The ... More
Local strong solution for the viscous compressible and heat-conductive fluids with vacuum in 2D spaceAug 16 2015This paper considers the Cauchy problem of equations for the viscous compressible and heat-conductive fluids in the two-dimensional(2D) space. We establish the local existence theory of unique strong solution under some initial layer compatibility conditions. ... More
Observation of the antimatter helium-4 nucleus at RHICJul 01 2011We present the observation of the \Heebar nucleus, the heaviest antinucleus observed to date. In total, 18 \Heebar counts were detected at the STAR experiment at RHIC in 10$^{9}$ recorded Au+Au collisions at beam energies of $\sqrt{s_{NN}}$ = 200 GeV ... More
Quantum Uncertainty Based on Metric Adjusted Skew InformationAug 03 2017Apr 12 2018Prompted by the open questions in Gibilisco [Int. J. Software Informatics, 8(3-4): 265, 2014], in which he introduced a family of measurement-induced quantum uncertainty measures via metric adjusted skew informations, we investigate these measures' fundamental ... More
The inequivalent substitution on Ca site of cubic CaTiO3 perovskite for transparent conductive oxides from USPEX and DFTMay 02 2019Based on genetic evolution algorithm, universal structure predictor USPEX assists to explore the most stable structure from Na+ substituting Ca2+ under variable concentration, for p type transparent conductive oxide application. The study finds 2 atoms ... More
Exploring inorganic and nontoxic double perovskites Cs$_2$AgInBr$_{6-x}$Cl$_x$ from material selection to device design in material genome approachMay 02 2019Halide double perovskites have recently been proposed as potential environmentally friendly alternatives to organic group and lead based hybrid halide perovskites. In particular, Cs2BiAgX6 have been synthesized and found to exhibit tunable band gaps in ... More
On the topological minimality of unions of planes of arbitrary dimensionDec 12 2013In this article we prove the topological minimality of unions of several almost orthogonal planes of arbitrary dimensions. A particular case was proved in arXiv:1103.1468, where we proved the Almgren minimality (which is a weaker property than the topological ... More
Topological minimal sets and their applicationsMar 20 2011In this article we introduce a definition of topological minimal sets, which is a generalization of that of Mumford-Shah-minimal sets. We prove some general properties as well as two existence theorems for topological minimal sets. As an application we ... More
Almgren-minimality of unions of two almost orthogonal planes in $\mathbb R^4$Mar 08 2011Feb 15 2012In this article we prove that the union of two almost orthogonal planes in R4 is Almgren-minimal. This gives an example of a one parameter family of minimal cones, which is a phenomenon that does not exist in R3. This work is motivated by an attempt to ... More
Centralizers of Finite Subgroups of the Mapping Class GroupFeb 26 2012In this paper, we study the action of finite subgroups of the mapping class group of a surface on the curve complex. We prove that if the diameter of the almost fixed point set of a finite subgroup H is big enough, then the centralizer of H is infinite. ... More
On the jet properties of the gamma-ray loud active galactic nucleiMar 14 2018Apr 12 2018Based on broadband spectral energy distribution (SEDs), we estimate the jet physical parameters of 1392 $\gamma$-ray-loud active galactic nuclei (AGNs), the largest sample so far. The (SED) jet power and magnetization parameter are derived for these AGNs. ... More
On the Type IIb solutions to mean curvature flowMar 19 2016Aug 28 2018In this paper we study the Type IIb mean curvature flow for which has the smooth solution exists for all $t> 0$ and satisfies $\sup\limits_{M^n\times (0,+\infty)}t|A|^2=\infty$, where $A(\cdot,t)$ is the second fundamental form. We prove that the longtime ... More
On the interpolation property and dominated decomposition property of quasimartingalesNov 25 2013For a quasimartingale majorized by another quasimartingale, it is natural to ask whether a third quasimartingale can be inserted between them. In this paper, we give an affirmative answer to this problem. We also establish a dominated decomposition property ... More
Equation Problem over central extensions of hyperbolic groupsJul 22 2013The Equation Problem in finitely presented groups asks if there exists an algorithm which determines in finite amount of time whether any given equation system has a solution or not. We show that the Equation Problem in central extensions of hyperbolic ... More
Improving SAMC using smoothing methods: Theory and applications to Bayesian model selection problemsAug 25 2009Stochastic approximation Monte Carlo (SAMC) has recently been proposed by Liang, Liu and Carroll [J. Amer. Statist. Assoc. 102 (2007) 305--320] as a general simulation and optimization algorithm. In this paper, we propose to improve its convergence using ... More
Computing Dixmier Invariants and Some Geometric Configurations of Quartic Curves with 2 InvolutionsApr 02 2019In this paper we consider plane quartics with to involutions. We compute the Dixmier invariants, the bitangents and the Matrix representation problem of these curves, showing that they have symbolic solutions for the last two questions.
Direct detection and solar capture of spin-dependent dark matterAug 27 2013Feb 25 2014We investigate the implication of different spin-dependent (SD) operators on both the direct and indirect detections of the Weakly Interacting Massive Particle (WIMP). Six representative building blocks of SD operators, together with their counterparts ... More
Diffuse Cluster-wide Radio HalosDec 07 2000We will discuss the properties and origins of halos and relics including estimates of the cluster magnetic fields, and present results for a few recently discovered halos and relics. The electrons in the suprathermal high energy tail of the thermal gas ... More
On the Signed (Total) $k$-Domination Number of a GraphApr 21 2012Let $k$ be a positive integer and $G=(V,E)$ be a graph of minimum degree at least $k-1$. A function $f:V\rightarrow \{-1,1\}$ is called a \emph{signed $k$-dominating function} of $G$ if $\sum_{u\in N_G[v]}f(u)\geq k$ for all $v\in V$. The \emph{signed ... More
AMiBA, XMM, and Cluster SurveysOct 23 2001The Array for Microwave Background Anisotropy (AMiBA) is an interferometric array of 19 dishes co-mounted on a steerable platform and operating at 95GHz. One of the main scientific aims of AMiBA is to conduct cluster surveys using the Sunyaev-Zel'dovich ... More
A Graph-Based Multivariate Conditional Autoregressive ModelFeb 12 2014The conditional autoregressive model is one of the routines for applications with univariate areal data. However, many authors have shown that it is not trivial to extend the univariate specification to multivariate situations. The difficulties lie in ... More
On the Type IIb solutions to mean curvature flowMar 19 2016Nov 11 2016In this paper we study the Type IIb mean curvature flow for which has the smooth solution exists for all $t> 0$ and satisfies $\sup\limits_{M^n\times (0,+\infty)}t|A|^2=\infty$, where $A(\cdot,t)$ is the second fundamental form. We prove that the longtime ... More
Kitaev models based on unitary quantum groupoidsSep 17 2013Jan 01 2014We establish a generalization of Kitaev models based on unitary quantum groupoids. In particular, when inputting a Kitaev-Kong quantum groupoid $H_\mathcal{C}$, we show that the ground state manifold of the generalized model is canonical isomorphic to ... More
Teleportation-based quantum homomorphic encryption scheme with quasi-compactness and perfect securityDec 14 2018This article defines encrypted gate, which is denoted by $EG[U]:|\alpha\rangle\rightarrow\left((a,b),Enc_{a,b}(U|\alpha\rangle)\right)$. We present a gate-teleportation-based two-party computation scheme for $EG[U]$, where one party gives arbitrary quantum ... More
Blind quantum computation with completely classical client and a trusted centerAug 31 2015Oct 02 2015Blind quantum computation (BQC) enables a client without enough quantum power to delegate his quantum computation to a quantum server, while keeping the input data, the algorithm and the result unknown to the server. In the studies of practical BQC protocol, ... More
Successful High Power Acceleration of the HSC Type Injector for Cancer Therapy in IMPMar 25 2015A Hybrid single cavity (HSC) linac, which is formed by combining a radio frequency quadrupole (RFQ) structure and a drift tube (DT) structure into one interdigital-H (IH) cavity, is fabricated and assembled as a proof of principle (PoP) type injector ... More
Electron Teleportation via Majorana Bound States in a Mesoscopic SuperconductorSep 28 2009Jan 20 2010Zero-energy Majorana bound states in superconductors have been proposed to be potential building blocks of a topological quantum computer, because quantum information can be encoded in the fermion occupation of a pair of {\it spatially separated} Majorana ... More
Dynamical correspondences of $L^2$-Betti numbersFeb 14 2017Oct 12 2017We investigate dynamical analogues of the $L^2$-Betti numbers for modules over integral group ring of a discrete sofic group. In particular, we show that the $L^2$-Betti numbers exactly measure the failure of addition formula for dynamical invariants. ... More
Lambda Dependency-Based Compositional SemanticsSep 17 2013Sep 18 2013This short note presents a new formal language, lambda dependency-based compositional semantics (lambda DCS) for representing logical forms in semantic parsing. By eliminating variables and making existential quantification implicit, lambda DCS logical ... More
Asymptotic Limits of the Wigner $12J$-Symbol in Terms of the Ponzano-Regge PhasesAug 09 2011There are two types of asymptotic formulas for the $12j$ symbol with one small and 11 large angular momenta. We have derived the first type of formula previously in [L. Yu, Phys. Rev. A84 022101 (2011)]. We will derive the second type in this paper. We ... More
Asymptotic Limits of the Wigner $15J$-Symbol with Small Quantum NumbersApr 19 2011We present new asymptotic formulas for the Wigner $15j$-symbol with two, three, or four small quantum numbers, and provide numerical evidence of their validity. These formulas are of the WKB form and are of a similar nature as the Ponzano-Regge formula ... More
Developments and Obstacles in Chinese eBook MarketJul 17 2012The purpose of this study was to provide insights into the eBook market in China through case studies on eBook companies and a survey research with individual eBook users. The information from three companies, Beijing Superstar Electric Company, Beijing ... More
Trajectory averaging for stochastic approximation MCMC algorithmsNov 11 2010The subject of stochastic approximation was founded by Robbins and Monro [Ann. Math. Statist. 22 (1951) 400--407]. After five decades of continual development, it has developed into an important area in systems control and optimization, and it has also ... More
Multidimensional SDE with anticipating initial process and reflectionApr 20 2007In this paper, the strong solutions $ (X, L)$ of multidimensional stochastic differential equations with reflecting boundary and possible anticipating initial random variables is established. The key is to obtain some substitution formula for Stratonovich ... More
Almgren and topological minimality for the set $Y\times Y$Mar 02 2012Mar 12 2012In this paper we discuss various minimality properties for the orthogonal product of two 1-dimensional $\Y$ sets, and some related problems. This is motivated by an attempt to give the classification of singularities for 2-dimensional Almgren-minimal ... More
A Unified Approach on the Local Power of Panel Unit Root TestsOct 09 2017In this paper, a unified approach is proposed to derive the exact local asymptotic power for panel unit root tests, which is one of the most important issues in nonstationary panel data literature. Two most widely used panel unit root tests known as Levin-Lin-Chu ... More
Vanishing pressure limit for compressible Navier-Stokes equations with degenerate viscositiesAug 06 2017In this paper we study a vanishing pressure process for highly compressible Navier-Stokes equations as the Mach number tends to infinity. We first prove the global existence of weak solutions for the pressureless system in the framework [Li-Xin, arXiv:1504.06826v2], ... More