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A Neural Network Prediction Based Adaptive Mode Selection Scheme in Full-Duplex Cognitive NetworksApr 12 2019We propose a neural network (NN) predictor and an adaptive mode selection scheme for the purpose of both improving secondary user's (SU's) throughput and reducing collision probability to the primary user (PU) in full-duplex (FD) cognitive networks. SUs ... More

Entanglement negativity and topological orderJun 24 2013Jun 30 2013We use the entanglement negativity, a measure of entanglement for mixed states, to probe the structure of entanglement in the ground state of a topologically ordered system. Through analytical calculations of the negativity in the ground state(s) of the ... More

Quantum coin flipping secure against channel noisesMay 27 2015So far, most of existed single-shot quantum coin flipping(QCF) protocols failed in a noisy quantum channel. Here, we present a nested-structured framework that makes it possible to achieve partially noise-tolerant QCF, due to that there is a trade-off ... More

Pointwise second-order necessary conditions for stochastic optimal controls, Part II: The general caseSep 26 2015Oct 19 2015This paper is the second part of our series of work to establish pointwise second-order necessary conditions for stochastic optimal controls. In this part, we consider the general cases, i.e., the control region is allowed to be nonconvex, and the control ... More

Cusp-shaped structure of a jet observed by IRIS and SDONov 15 2016On 29 August 2014, the trigger and evolution of a cusp-shaped jet were captured in detail at 1330 {\AA} by the Interface Region Imaging Spectrograph.At first, two neighboring mini-prominences arose in turn from low solar atmosphere and collided with a ... More

Crossed modules for Hom-Lie antialgebrasMar 21 2019In this paper, we introduced the concept of crossed module for Hom-Lie antialgebras. It is proved that the category of crossed modules for Hom-Lie antialgebras and the category of $Cat^1$-Hom-Lie antialgebras are equivalent to each other. The relationship ... More

Computing Skylines on Distributed DataNov 01 2016In this paper we study skyline queries in the distributed computational model, where we have $s$ remote sites and a central coordinator (the query node); each site holds a piece of data, and the coordinator wants to compute the skyline of the union of ... More

Minimality of a Kind of Pseudo-Umbilical Totally Real Submanifolds in Non-Flat Complex Space FormsDec 27 2015In this paper, by studying the position of umbilical normal vectors in the normal bundle, we prove that pseudo-umbilical totally real submanifolds with flat normal connection in non-flat complex space forms must be minimal.

Renormalized solutions for the fractional p(x)-Laplacian equation with L^1 dataAug 15 2017In this paper, we prove the existence and uniqueness of nonnegative renormalized solutions for the fractional p(x)-Laplacian problem with L1 data. Our results are new even in the constant exponent fractional p-Laplacian equation case.

Trajectory Design for Cellular-Connected UAV Under Outage Duration ConstraintJan 14 2019Mar 14 2019In this paper, we study the trajectory design for a cellular-connected unmanned aerial vehicle (UAV) with given initial and final locations, while communicating with the ground base stations (GBSs) along its flight. We consider delay-limited communications ... More

Double Bicrosssum of Braided Lie algebrasJan 08 2007Jan 12 2007The condition for double bicrosssum to be a braided Lie bialgebra is given. The result generalizes quantum double, bicrosssum, bicrosscosum, bisum. The quantum double of braided Lie bialgebras is constructed. The relation between double crosssum of Lie ... More

Sequential Sampling for CGMY Processes via Decomposition of their Time ChangesAug 01 2017Aug 22 2018We present a new and easy-to-implement sequential sampling method for CGMY processes with either finite or infinite variation, exploiting the time change representation of the CGMY model and a decomposition of its time change. We find that the time change ... More

Inequalities for Casorati curvatures of submanifolds in real space formsAug 21 2014Jun 15 2015By using T. Oprea's optimization methods on submanifolds, we give another proof of the inequalities relating the normalized $\delta-$Casorati curvature $\hat{\delta}_c(n-1)$ for submanifolds in real space forms. Also, inequalities relating the normalized ... More

A Newton method for simultaneous reconstruction of an interface and a buried obstacle from far-field dataNov 23 2012This paper is concerned with the inverse problem of scattering of time-harmonic acoustic waves from a penetrable and buried obstacles. By introducing a related transmission scattering problem, a Newton iteration method is proposed to simultaneously reconstruct ... More

Spatial-Spectral Boosting Analysis for Stroke Patients' Motor Imagery EEG in Rehabilitation TrainingOct 23 2013Current studies about motor imagery based rehabilitation training systems for stroke subjects lack an appropriate analytic method, which can achieve a considerable classification accuracy, at the same time detects gradual changes of imagery patterns during ... More

Some results on pointwise second-order necessary conditions for stochastic optimal controlsMay 28 2014The purpose of this paper is to derive some pointwise second-order necessary conditions for stochastic optimal controls in the general case that the control variable enters into both the drift and the diffusion terms. When the control region is convex, ... More

Molecular dynamics studies on the NMR and X-ray structures of rabbit prion protein wild-type and mutantsApr 29 2013Aug 26 2013Prion diseases are invariably fatal and highly infectious neurodegenerative diseases that affect a wide variety of mammalian species such as sheep, goats, mice, humans, chimpanzees, hamsters, cattle, elks, deer, minks, cats, chicken, pigs, turtles, etc. ... More

An Improved Cooperative Repair Scheme for Reed-Solomon CodesJan 10 2019Dau et al. recently extend Guruswami and Wootters' scheme (STOC'2016) to cooperatively repair two or three erasures in Reed-Solomon (RS) codes. However, their scheme restricts to either the case that the characteristic of $F$ divides the extension degree ... More

Visual Understanding via Multi-Feature Shared Learning with Global ConsistencyMay 20 2015Sep 09 2015Image/video data is usually represented with multiple visual features. Fusion of multi-source information for establishing the attributes has been widely recognized. Multi-feature visual recognition has recently received much attention in multimedia applications. ... More

Evolutionary Cost-sensitive Extreme Learning MachineMay 17 2015Sep 22 2016Conventional extreme learning machines solve a Moore-Penrose generalized inverse of hidden layer activated matrix and analytically determine the output weights to achieve generalized performance, by assuming the same loss from different types of misclassification. ... More

Robust Visual Knowledge Transfer via EDAMay 17 2015Aug 09 2016We address the problem of visual knowledge adaptation by leveraging labeled patterns from source domain and a very limited number of labeled instances in target domain to learn a robust classifier for visual categorization. This paper proposes a new extreme ... More

Quantum Limited DPSK Receivers with Optical Mach-Zehnder Interferometer DemodulationOct 12 2004We present an analysis of quantum-limited DPSK receivers with optical Mach-Zehnder interferometer (MZI) demodulation. It is shown for the first time that the quantum limits for DPSK/MZI receivers with single-port and balanced detections exactly differ ... More

Constructing entire functions with non-locally connected Julia set by quasiconformal surgeryJul 18 2017Jun 01 2018We give an alternative way to construct an entire function with quasiconformal surgery so that all its Fatou components are quasi-circles but the Julia set is non-locally connected.

Effective Hamiltonians for quasi-one-dimensional Fermi gases with spin-orbit couplingAug 21 2013We derive one-dimensional effective Hamiltonians for spin-orbit coupled Fermi gases confined in quasi-one-dimensional trapping potentials. For energy regime around the two-body bound state energy, the effective Hamiltonian takes a two-channel form, where ... More

On Hom-Lie antialgebraJan 10 2019Apr 03 2019In this paper, we introduced the notion of Hom-Lie antialgebras.The representations and cohomology theory of Hom-Lie antialgebras are investigated. We prove that the equivalent classes of abelian extensions of Hom-Lie antialgeras are in one-to-one correspondence ... More

Scalar MSCR Codes via the Product Matrix ConstructionOct 10 2018An $(n,k,d)$ cooperative regenerating code provides the optimal-bandwidth repair for any $t~(t\!>\!1)$ node failures in a cooperative way. In particular, an MSCR (minimum storage cooperative regenerating) code retains the same storage overhead as an $(n,k)$ ... More

Chaotic transitions of optomechanical resonator modified by the quadratic couplingFeb 06 2016A parametric modification of the dynamical transition from steady-state to limit circles and to chaos by the quadratic coupling in optomechanical system is investigated. Under a weak pumping field, the mechanical resonator damps to a steady state with ... More

Disjunctive Logic Programs versus Normal Logic ProgramsApr 02 2013This paper focuses on the expressive power of disjunctive and normal logic programs under the stable model semantics over finite, infinite, or arbitrary structures. A translation from disjunctive logic programs into normal logic programs is proposed and ... More

Hierarchical Bayesian Models with Factorization for Content-Based RecommendationDec 28 2014Most existing content-based filtering approaches learn user profiles independently without capturing the similarity among users. Bayesian hierarchical models \cite{Zhang:Efficient} learn user profiles jointly and have the advantage of being able to borrow ... More

Expressiveness of Logic Programs under General Stable Model SemanticsDec 02 2014The stable model semantics had been recently generalized to non-Herbrand structures by several works, which provides a unified framework and solid logical foundations for answer set programming. This paper focuses on the expressiveness of normal and disjunctive ... More

An Ordinal Bargaining Solution with Fixed-Point PropertyJan 15 2014Shapleys impossibility result indicates that the two-person bargaining problem has no non-trivial ordinal solution with the traditional game-theoretic bargaining model. Although the result is no longer true for bargaining problems with more than two agents, ... More

Rectifier Neural Network with a Dual-Pathway Architecture for Image DenoisingSep 10 2016Recently deep neural networks based on tanh activation function have shown their impressive power in image denoising. However, much training time is needed because of their very large size. In this letter, we propose a dual-pathway rectifier neural network ... More

The continuity method on minimal elliptic Kähler surfacesOct 25 2016We prove that, on a minimal elliptic K\"ahler surface of Kodaira dimension one, the continuity method introduced by La Nave and Tian in \cite{LT} starting from any initial K\"{a}hler metric converges in Gromov-Hausdorff topology to the metric completion ... More

Trajectory Optimization for Cellular-Connected UAV Under Outage Duration ConstraintJan 14 2019Enabling cellular access for unmanned aerial vehicles (UAVs) is a practically appealing solution to realize their high-quality communications with the ground for ensuring safe and efficient operations. In this paper, we study the trajectory design for ... More

A New Exact Worst-Case Linear Convergence Rate of the Proximal Gradient MethodFeb 25 2019In this note, we establish a new exact worst-case linear convergence rate of the proximal gradient method in terms of the proximal gradient norm, which complements the recent results in [1] and implies a refined descent lemma.descent lemma. Based on the ... More

MinJoin: Efficient Edit Similarity Joins via Local Hash MinimumsOct 20 2018In this paper we study edit similarity joins, in which we are given a set of strings and a threshold parameter K, and asked to find all pairs of strings whose edit distance are at most K. Edit similarity joins is a fundamental problem in query processing, ... More

Inequalities for Casorati curvatures of submanifolds in real space formsAug 21 2014Nov 11 2016By using T. Oprea's optimization methods on submanifolds, we give another proof of the inequalities relating the normalized $\delta-$Casorati curvature $\hat{\delta}_c(n-1)$ for submanifolds in real space forms. Also, inequalities relating the normalized ... More

Repetitive cluster-tilted algebrasFeb 18 2009Jan 29 2013Let $H$ be a finite dimensional hereditary algebra over an algebraically closed field $k$ and $\mathscr{C}_{F^m}$ be the repetitive cluster category of $H$ with $m\geq 1$. We investigate the properties of cluster tilting objects in $\mathscr{C}_{F^m}$ ... More

An FFT-based algorithm for efficient computation of Green's functions for the Helmholtz and Maxwell's equations in periodic domainsJan 18 2018May 24 2018The integral equation method is widely used in numerical simulations of 2D/3D acoustic and electromagnetic scattering problems, which needs a large number of values of the Green's functions. A significant topic is the scattering problems in periodic domains, ... More

Dirac Delta Function of Matrix ArgumentJul 11 2016Dirac delta function of matrix argument is employed frequently in the development of diverse fields such as Random Matrix Theory, Quantum Information Theory, etc. The purpose of the article is pedagogical, it begins by recalling detailed knowledge about ... More

On the simplicity of induced modules for reductive Lie algebras. IIApr 13 2016A sufficient condition for the simplicity of induced modules of reductive Lie algebras is given.

On the spectrums of ergodic Schrodinger operators with finitely valued potentialsFeb 09 2015Feb 16 2015We show that the measure of the spectrum of Schr\"odinger operator with potential defined by non-constant function over any minimal aperiodic finite subshift tends to zero, as the coupling constant tends to infinity. We also obtained a quantitative upper ... More

A monopole invariant for foliations without transverse invariant measureMar 26 2016Let $Y$ be a closed oriented 3-manifold, and $\mathcal{F}$ a smooth oriented foliation on $Y$. Assume that $\mathcal{F}$ does not admit any transverse invariant measure. This article constructs an invariant $c(\mathcal{F})$ for $\mathcal{F}$ which takes ... More

Book Review: Matrix Theory by X. ZhanDec 08 2014This is a book review for Zhan's Matrix Theory (AMS, GSM 147, 2013).

Abundance of non-uniruled 3-folds with non-trivial Albanese maps in positive characteristicsOct 12 2016In this paper, we prove abundance for non-uniruled 3-folds with non-trivial Albanese maps, over an algebraically closed field of characteristic $p > 5$. As an application we get a characterization of abelian 3-folds.

An Efficient Implementation of Brezzi-Douglas-Marini (BDM) Mixed Finite Element Method in MATLABAug 26 2015In this paper, a MATLAB package bdm_mfem for a linear Brezzi-Douglas- Marini (BDM) mixed finite element method is provided for the numerical solution of elliptic diffusion problems with mixed boundary conditions on unstructured grids. BDM basis functions ... More

Boundary effects on energy dissipation in a cellular automaton modelApr 23 2009Apr 25 2009In this paper, we numerically study energy dissipation caused by traffic in the Nagel-Schreckenberg (NaSch) model with open boundary conditions (OBC). Numerical results show that there is a nonvanishing energy dissipation rate Ed, and no true free-flow ... More

The efficiency of the molecular motorsOct 07 2008Feb 12 2009Molecular motors convert chemical energy into mechanical work while operating in an environment dominated by Brownian motion. The aim of this paper is to explore the flow of energy between the molecular motors and its surroundings, in particular, its ... More

Vector boson production in association with jets and heavy flavor quarks from CMSJul 06 2016This document is dedicated to recent results on the measurements of a vector boson production associated with jets (V+jets) using CMS detector experiment, with a central proton-proton (pp) collision energy of respectively 8 TeV (RunI) and 13 TeV (RunII). ... More

Entropy in the interior of a black hole and thermodynamicsOct 08 2015Based on a recent proposal for the volume inside a black hole, we calculate the entropy associated with this volume and show that such entropy is proportional to the surface area of the black hole. Together with the consideration of black hole radiation, ... More

Dark Energy and Its Interactions with NeutrinosOct 06 2005In this talk I will firstly review on the current constraints on the equation of state of the dark energy from observational data, then present a new scenario of dark energy dubbed {\it Quintom}. The recent fits to the type Ia supernova data and the cosmic ... More

Performance Improvements in Heterogeneous Wireless Networks for First RespondersNov 07 2016Efficient communications are crucial for disaster response and recovery. However, most current public safety land mobile radio (LMR) networks only provide narrowband voice service with limited support of low-speed data services. In this paper, we study ... More

On the nonexplosion and explosion for nonhomogeneous Markov pure jump processes in Borel spacesNov 16 2015In this paper, we obtain new drift-type conditions for nonexplosion and explosion for nonhomogeneous Markov pure jump processes in Borel state spaces. The conditions are practical and in the meanwhile sharp; e.g., the one for nonexplosion is necessary ... More

Kähler-Ricci Flow with Degenerate Initial ClassSep 29 2009In an earlier work joint with X. X. Chen and G. Tian, we introduced the weak K\"ahler-Ricci flow for various geometric motivations. In the current work, we take further consideration on setting up the weak flow. Namely, the initial class is allowed to ... More

Scalar Curvature Behavior for Finite Time Singularity of Kähler-Ricci FlowJan 11 2009In this short paper, we show that K\"ahler-Ricci flows over closed manifolds would have scalar curvature blown-up for finite time singularity. Certain control of the blowing-up is achieved with some mild assumption.

Euclid's Number-Theoretical WorkFeb 14 2009Feb 21 2010When people mention the mathematical achievements of Euclid, his geometrical achievements always spring to mind. But, his Number-Theoretical achievements (See Books 7, 8 and 9 in his magnum opus \emph{Elements} [1]) are rarely spoken. The object of this ... More

The relation between the decomposition of comodules and coalgebrasNov 28 2003T. Shudo and H. Miyamito \cite{SM78} showed that $C$ can be decomposed into a direct sum of its indecomposable subcoalgebras of $C$. Y.H. Xu \cite {XF92} showed that the decomposition was unique. He also showed that $M$ can uniquely be decomposed into ... More

The Methicillin-Resistant Staphylococcus Aureus Infection ControlsMay 30 2013Multi-resistant organisms (MROs), the bacteria that are resistant to a number of different antibiotics, have been very popular around the world in recent years. They are very difficult to treat but highly infectious in humans. MRSA (Methicillin-Resistant ... More

The Lennard-Jones Potential Minimization Problem for Prion AGAAAAGA Amyloid Fibril Molecular ModelingJun 08 2011The simplified Lennard-Jones (LJ) potential minimization problem is minimize f(x)=4\sum_{i=1}^N \sum_{j=1,j<i}^N (\tau_{ij}^{-6} -\tau_{ij}^{-3}) subject to x\in \mathbb{R}^n, where $\tau_{ij}=(x_{3i-2}-x_{3j-2})^2 +(x_{3i-1}-x_{3j-1})^2+(x_{3i} -x_{3j})^2$, ... More

Continuous-time Markov decision processes with exponential utilityOct 10 2016In this paper, we consider a continuous-time Markov decision process (CTMDP) in Borel spaces, where the certainty equivalent with respect to the exponential utility of the total undiscounted cost is to be minimized. We establish the optimality equation. ... More

Intrinsic electromagnetic variability in celestial objects containing rapidly spinning black holesFeb 10 2016Analytical studies have raised the concern that a mysterious expulsion of magnetic field lines by a rapidly-spinning black hole (dubbed the black hole Meissner effect) would shut down the Blandford-Znajek process and quench the jets of active galactic ... More

Rademacher Complexity of the Restricted Boltzmann MachineDec 07 2015Boltzmann machine, as a fundamental construction block of deep belief network and deep Boltzmann machines, is widely used in deep learning community and great success has been achieved. However, theoretical understanding of many aspects of it is still ... More

Mixed type multiple orthogonal polynomials associated with the modified Bessel functions and products of two coupled random matricesMay 06 2016Sep 27 2016We consider mixed type multiple orthogonal polynomials associated with a system of weight functions consisting of two vectors. One vector is defined in terms of scaled modified Bessel function of the first kind $I_\mu$ and $I_{\mu+1}$, the other vector ... More

Fundamental representations of quantum affine superalgebras and R-matricesJun 19 2015Jul 13 2016We study a certain family of finite-dimensional simple representations over quantum affine superalgebras associated to general linear Lie superalgebras, the so-called fundamental representations: the denominators of rational $R$-matrices between two fundamental ... More

Characterizations and Infinite Divisibility of Extended COM-Poisson DistributionApr 19 2015Aug 25 2015This article provides some characterizations of extended COM-Poisson distribution: conditional distribution given the sum, functional operator characterization (Stein identity). We also give some conditions such that the extended COM-Poisson distribution ... More

On robust width property for Lasso and Dantzig selectorJan 15 2015Apr 03 2016Recently, Cahill and Mixon completely characterized the sensing operators in many compressed sensing instances with a robust width property. The proposed property allows uniformly stable and robust reconstruction of certain solutions from an underdetermined ... More

Lie algebras of linear systems and their automorphismsJun 18 2014The objective of this thesis is to study the automorphism groups of the Lie algebras attached to linear systems. A linear system is a pair of vector spaces $(U,W)$ with a nondegenerate pairing $\langle\cdot,\cdot\rangle\colon U\otimes W\to \mathbb{C}$, ... More

New Analysis of Linear Convergence of Gradient-type Methods via Unifying Error Bound ConditionsJun 01 2016Aug 29 2016The subject of linear convergence of gradient-type methods on non-strongly convex optimization has been widely studied by introducing several notions as sufficient conditions. Influential examples include the error bound property, the restricted strongly ... More

The 750GeV diphoton excess: who introduces it?Jan 07 2016Recently, both ATLAS and CMS collaborations report an excess at 750GeV in the diphoton invariant mass spectrum at 13TeV LHC. If it is a new scalar produced via loop induced gluon-gluon fusion process, it is important to know what is the particle in the ... More

Algebraic Stein VarietiesOct 29 2006Nov 26 2007It is well-known that the associated analytic space of an affine variety defined over $\mathbb{C}$ is Stein but the converse is not true, that is, an algebraic Stein variety is not necessarily affine. In this paper, we give sufficient and necessary conditions ... More

Spherical Cap Packing Asymptotics and Rank-Extreme DetectionNov 19 2015We study the spherical cap packing problem with a probabilistic approach. Such probabilistic considerations result in an asymptotic sharp universal uniform bound on the maximal inner product between any set of unit vectors and a stochastically independent ... More

Rank-Extreme Association of Gaussian Vectors and Low-Rank DetectionJun 03 2013Sep 02 2013It is important to detect a low-dimensional linear dependency in high-dimensional data. We provide a perspective on this problem, called the rank-extreme (ReX) association, through studies of the maximum norm of a vector of $p$ standard Gaussian variables ... More

The Limiting Distribution of Decoherent Quantum Random WalksApr 28 2008The behaviors of one-dimensional quantum random walks are strikingly different from those of classical ones. However, when decoherence is involved, the limiting distributions take on many classical features over time. In this paper, we study the decoherence ... More

On the Concept of Static Structure FactorJun 11 2016Jun 20 2016We clarify the confusion in the expression of the static structure factor S(k) in the study of condensed matters and discuss its explicit form that can be directly used in calculations and computer simulations.

Hyperaccreting Neutron-Star Disks, Magnetized Disks and Gamma-Ray BurstsJun 04 2009Dec 22 2009This thesis focuses on the study of the hyperaccreting neutron-star disks and magnetized accretion flows. It is usually proposed that hyperaccreting disks surrounding stellar-mass black holes with a huge accretion rate are central engines of gamma-ray ... More

Exact Landau Levels in Two-Dimensional Electron Systems with Rashba and Dresselhaus Spin-Orbit Interactions in a Perpendicular Magnetic FieldFeb 20 2006We study a two-dimensional electron system in the presence of both Rashba and Dresselhaus spin-orbit interactions in a perpendicular magnetic field. Defining two suitable boson operators and using the unitary transformations we are able to obtain the ... More

A weighted central limit theorem under sublinear expectationsMay 04 2011In this paper, we investigate a central limit theorem for weighted sums of independent random variables under sublinear expectations. It is turned out that our results are natural extensions of the results obtained by Peng and Li and Shi.

Representations for generalized Drazin inverse of operator matrices over a Banach spaceNov 08 2014In this paper we give expressions for the generalized Drazin inverse of a (2,2,0) operator matrix and a $2\times2$ operator matrix under certain circumstances, which generalizes and unifies several results in the literature.

A Majorization-Minimization Algorithm for Computing the Karcher Mean of Positive Definite MatricesDec 17 2013Jun 04 2015An algorithm for computing the Karcher mean of $n$ positive definite matrices is proposed, based on the majorization-minimization (MM) principle. The proposed MM algorithm is parameter-free, does not need to choose step sizes, and has a theoretical guarantee ... More

Severi inequality for varieties of maximal Albanese dimensionMar 17 2013Let $X$ be a projective, normal, minimal and Gorenstein $n$-dimensional complex variety of general type. Suppose $X$ is of maximal Albanese dimension. We prove that $K^n_X \ge 2 n! \chi(K_X)$

DNF-AF Selection Two-Way RelayingNov 22 2012May 07 2013Error propagation and noise propagation at the relay node would highly degrade system performance in two-way relay networks. In this paper, we introduce DNF-AF selection two-way relaying scheme which aims to avoid error propagation and mitigate noise ... More

The degeneration of convex RP^2 structures on surfacesDec 09 2013Jul 14 2015Let M be a compact surface of negative Euler characteristic and let C(M) be the deformation space of convex real projective structures on M. For every choice of pants decomposition for M, there is a well known parameterization of C(M) known as the Goldman ... More

A note on the asymptotic behavior of conformal metrics with negative curvatures near isolated singularitiesApr 07 2013The asymptotic behavior of conformal metrics with negative curvatures near an isolated singularity for at most second order derivatives was described by Kraus and Roth in one of their papers in 2008. Our work improves one estimate of theirs and shows ... More

Sparse Recovery with Orthogonal Matching Pursuit under RIPMay 13 2010Jun 03 2011This paper presents a new analysis for the orthogonal matching pursuit (OMP) algorithm. It is shown that if the restricted isometry property (RIP) is satisfied at sparsity level $O(\bar{k})$, then OMP can recover a $\bar{k}$-sparse signal in 2-norm. For ... More

On the Linear Convergence of the Cauchy Algorithm for a Class of Restricted Strongly Convex FunctionsNov 01 2016In this short note, we extend the linear convergence result of the Cauchy algorithm, derived recently by E. Klerk, F. Glineur, and A. Taylor, from the case of smooth strongly convex functions to the case of restricted strongly convex functions with certain ... More

A note on Iitaka's conjecture $C_{3,1}$ in positive characteristicsSep 30 2016In this paper, we prove that for a fibration $f:X\to Y$ from a smooth projective 3-fold to a smooth projective curve, over an algebraically closed field $k$ of characteristic $p >5$. If the generic fiber $X_{\eta}$ has big canonical divisor $K_{X_{\eta}}$, ... More

Molecular studies of Planetary NebulaeNov 11 2016Circumstellar envelopes (CEs) around evolved stars are an active site for the production of molecules. After evolving through the Asymptotic Giant Branch (AGB), proto-planetary nebula (PPN), to planetary nebula (PN) phases, CEs ultimately merge with the ... More

Data Partitioning View of Mining Big DataNov 29 2016There are two main approximations of mining big data in memory. One is to partition a big dataset to several subsets, so as to mine each subset in memory. By this way, global patterns can be obtained by synthesizing all local patterns discovered from ... More

Stable multi-instance learning visa causal inferenceFeb 13 2019Multi-instance learning (MIL) deals with tasks where each example is represented by a bag of instances. Unlike traditional supervised learning, only the bag labels are observed whereas the label for each instance in the bags is not available. Previous ... More

The effect of cluster magnetic field on the Sunyaev Zeldovich power spectrumAug 20 2003Nov 26 2003Precision measurements of the Sunyaev Zeldovich (SZ) effect in upcoming blank sky surveys require theoretical understanding of all physical processes with $\ga 10%$ effects on the SZ power spectrum. We show that, observed cluster magnetic field could ... More

Cross correlations of the cosmic infrared backgroundJul 25 2003Mar 09 2004The cosmic infrared background (CIB) is a sensitive measure of the star formation history. But this background is overwhelmed by foregrounds, which bias the CIB mean flux and auto correlation measurement severely. Since dominant foregrounds do not correlate ... More

On Representation of Integers from Thin Subgroups of SL(2,Z) with ParabolicsOct 03 2016Oct 05 2016Let $\Lambda<SL(2,\mathbb{Z})$ be a finitely generated, non-elementary Fuchsian group of the second kind, and $v, w$ be two primitive vectors in $\mathbb{Z}^2-(0,0)$. We consider the set $\mathcal{S}=\{\langle {v}\gamma,{w}\rangle_{\mathbb{R}^2}:\gamma\in\Lambda\}$, ... More

NLO predictions for SMEFT in the top-quark sectorNov 15 2016Predictions for the Standard Model Effective Field Theory at the next-to-leading order accuracy in QCD, including parton-shower effects, have started to become available in the MadGraph5_aMC@NLO framework. In this talk we summarize some recent results ... More

Relative Clifford inequality for varieties fibered by curvesJun 20 2017Mar 07 2018We prove a sharp relative Clifford inequality for relatively special divisors on varieties fibered by curves. It generalizes the classical Clifford inequality about a single curve to a family of curves. It yields a geographical inequality for varieties ... More

Perfect Memory Context Trees in time series modelingOct 17 2016The Stochastic Context Tree (SCOT) is a useful tool for studying infinite random sequences generated by an m-Markov Chain (m-MC). It captures the phenomenon that the probability distribution of the next state sometimes depends on less than m of the preceding ... More

On the Gauss Map with Vanishing Biharmonic stress-energy tensorSep 21 2007We study the biharmonic stress-energy tensor $S_2$ of Gauss map. Adding few assumptions, the Gauss map with vanishing $S_2$ would be harmonic.

New Examples of Biharmonic Submanifolds in $CP^n$ and $S^{2n+1}$May 27 2007We construct biharmonic real hypersurfaces and Lagrangian submanifolds of Clifford torus type in $CP^n$ via the Hopf fibration; and get new examples of biharmonic submanifolds in $S^{2n+1}$ as byproducts .

Production of muons from heavy-flavour hadron decays at forward rapidity in Pb--Pb collisions at $\sqrt{s_{\rm NN}} = 5.02~{\rm TeV}$}Jun 24 2017The measurement of the production of single muons from heavy-flavour hadron decays at forward rapidity in Pb--Pb collisions at $\sqrt{s_{\rm NN}} = 5.02~{\rm TeV}$ collected in 2015 is presented as a function of transverse momentum ($p_{\rm T}$) and collision ... More

Confronting Four Zero Neutrino Yukawa Textures with $N_2^{}$-dominated LeptogenesisFeb 13 2015Sep 17 2015We consider a restricted Type-I seesaw scenario with four texture zeros in the neutrino Yukawa matrix, in the weak basis where both the charged-lepton Yukawa matrix and the Majorana mass matrix for right-handed neutrinos are diagonal and real. Inspired ... More

Allocations of Standby Redundancies to Coherent Systems with Dependent ComponentsAug 07 2018In the context of industrial engineering, standby allocation strategy is usually adopted by engineers to improve the lifetimes of coherent systems. This paper investigates the optimal allocation strategies of standby redundancies for coherent systems ... More