Results for "Fanhai Zeng"

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Second-order Stable Finite Difference Schemes for the Time-fractional Diffusion-wave EquationJul 20 2014Nov 08 2014We propose two stable and one conditionally stable finite difference schemes of second-order in both time and space for the time-fractional diffusion-wave equation. In the first scheme, we apply the fractional trapezoidal rule in time and the central ... More
A stabilized semi-implicit Fourier spectral method for nonlinear space-fractional reaction-diffusion equationsApr 16 2019The reaction-diffusion model can generate a wide variety of spatial patterns, which has been widely applied in chemistry, biology, and physics, even used to explain self-regulated pattern formation in the developing animal embryo. In this work, a second-order ... More
Numerical analysis of linear and nonlinear time-fractional subdiffusion equationsJan 21 2019In this paper, a new type of the discrete fractional Gr{\"o}nwall inequality is developed, which is applied to analyze the stability and convergence of a Galerkin spectral method for a linear time-fractional subdiffusion equation. Based on the temporal-spatial ... More
Fractional differentiation matrices with applicationsApr 17 2014Nov 04 2015In this paper, the fractional differential matrices based on the Jacobi-Gauss points are derived with respect to the Caputo and Riemann-Liouville fractional derivative operators. The spectral radii of the fractional differential matrices are investigated ... More
A stable fast time-stepping method for fractional integral and derivative operatorsMar 16 2017Oct 25 2017A unified fast time-stepping method for both fractional integral and derivative operators is proposed. The fractional operator is decomposed into a local part with memory length $\Delta T$ and a history part, where the local part is approximated by the ... More
An alternating direction implicit spectral method for solving two dimensional multi-term time fractional mixed diffusion and diffusion-wave equationsAug 28 2018Aug 31 2018In this paper, we consider the initial boundary value problem of the two dimensional multi-term time fractional mixed diffusion and diffusion-wave equations. An alternating direction implicit (ADI) spectral method is developed based on Legendre spectral ... More
Optimal order finite element approximations for variable-order time-fractional diffusion equationsMay 14 2019We study a fully discrete finite element method for variable-order time-fractional diffusion equations with a time-dependent variable order. Optimal convergence estimates are proved with the first-order accuracy in time (and second order accuracy in space) ... More
On the analysis of mixed-index time fractional differential equation systemsSep 05 2017In this paper we study the class of mixed-index time fractional differential equations in which different components of the problem have different time fractional derivatives on the left hand side. We prove a theorem on the solution of the linear system ... More
A new class of semi-implicit methods with linear complexity for nonlinear fractional differential equationsAug 07 2018Aug 11 2018We propose a new class of semi-implicit methods for solving nonlinear fractional differential equations and study their stability. Several versions of our new schemes are proved to be unconditionally stable by choosing suitable parameters. Subsequently, ... More
Implicit-Explicit difference schemes for nonlinear fractional differential equations with non-smooth solutionsAug 02 2016We propose second-order implicit-explicit (IMEX) time-stepping schemes for nonlinear fractional differential equations with fractional order $0<\beta<1$. From the known structure of the non-smooth solution and by introducing corresponding correction terms, ... More
A discrete least squares collocation method for two-dimensional nonlinear time-dependent partial differential equationsApr 26 2019In this paper, we develop regularized discrete least squares collocation and finite volume methods for solving two-dimensional nonlinear time-dependent partial differential equations on irregular domains. The solution is approximated using tensor product ... More
Efficient multistep methods for tempered fractional calculus: Algorithms and SimulationsDec 03 2018Dec 08 2018In this work, we extend the fractional linear multistep methods in [C. Lubich, SIAM J. Math. Anal., 17 (1986), pp.704--719] to the tempered fractional integral and derivative operators in the sense that the tempered fractional derivative operator is interpreted ... More
Cylindrically Symmetric Ground State Solutions for Curl-Curl Equations with Critical ExponentSep 30 2016We study the following nonlinear critical curl-curl equation \begin{equation}\label{eq0.1}\nabla\times \nabla\times U +V(x)U=|U|^{p-2}U+ |U|^4U,\quad x\in \mathbb{R}^3,\end{equation} where $V(x)=V(r, x_3)$ with $r=\sqrt{x_1^2+x_2^2}$ is 1-periodic in ... More
A simple eavesdropping strategy of BB84 protocolDec 22 1998A simplified eavesdropping-strategy for BB84 protocol in quantum cryptography (refer to quant-ph/9812022) is proposed. This scheme implements by the `indirect copying' technology. Under this scheme, eavesdropper can exactly obtain the exchanged information ... More
Criterion for rays landing togetherMar 19 2015Let $f$ be a polynomial with degree $\geq 2$ and the Julia set $J_f$ locally connected. We give a partition of complex plane $\mathbb{C}$ and show that, if $z$, $z'$ in $J_f$ have the same itineriary respect to the partition, then either $z=z'$ or both ... More
Notes On Hilbert's 12th ProblemMay 03 2006In this note we will study the Hilbert 12th problem for a primitive CM field, and the corresponding Stark conjectures. Using the idea of Mirror Symmetry, we will show how to generate all the class fields of a given primitive CM field, thus complete the ... More
An expansion formula for the inversions and excedances in the symmetric groupJun 15 2012We prove a recent conjecture of Blanco and Petersen (arXiv:1206.0803v2) about an expansion formula for inversions and excedances in the symmetric group.
The Gap of the Consecutive Eigenvalues of the Drifting Laplacian on Metric Measure SpacesJun 21 2016In this paper, we investigate eigenvalues of the Dirichlet problem and the closed eigenvalue problem of drifting Laplacian on the complete metric measure spaces and establish the corresponding general formulas. By using those general formulas, we give ... More
The Gaps of Consecutive Eigenvalues of Laplacian on Riemannian ManifoldsJun 08 2016Dec 20 2016In this paper, we investigate the Dirichlet problem of Laplacian on complete Riemannian manifolds. By constructing new trial functions, we obtain a sharp upper bound of the gap of the consecutive eigenvalues in the sense of the order, which affirmatively ... More
The First Eigenvalue for the Bi-Beltrami-Laplacian on Minimal Isoparametric Hypersurfaces of $\mathbb{S}^{n+1}(1)$Dec 05 2016In this paper, we investigate the first eigenvalues of two closed eigenvalue problems of the bi-Beltrami-Laplacian on minimal embedded isoparametric hypersurface in the unit sphere $\mathbb{S}^{n+1}(1)$. Although many mathematicians want to derive the ... More
Artificial Persuasion in Pedagogical GamesJan 23 2016A Persuasive Teachable Agent (PTA) is a special type of Teachable Agent which incorporates a persuasion theory in order to provide persuasive and more personalized feedback to the student. By employing the persuasion techniques, the PTA seeks to maintain ... More
Unitary representations of the extended affine Lie algebra $\widetilde{\frak{gl}_{3}(\bc_q)}$Jan 18 2006We present modules for the extended affine Lie algebra $\widetilde{\frak{gl}_{3}(\bc_q)}$ by using the idea of free fields. A necessary and sufficient condition for the modules being unitary is given.
A hybrid FD-FV method for first-order hyperbolic conservation laws on Cartesian grids: The smooth problem caseDec 21 2012Nov 28 2016We present a class of hybrid FD-FV (finite difference and finite volume) methods for solving general hyperbolic conservation laws written in first-order form. The presentation focuses on one- and two-dimensional Cartesian grids; however, the generalization ... More
Cylindrically Symmetric Ground State Solutions for Curl-Curl Equations with Critical ExponentSep 30 2016Dec 14 2017We study the following nonlinear critical curl-curl equation \begin{equation}\label{eq0.1}\nabla\times \nabla\times U +V(x)U=|U|^{p-2}U+ |U|^4U,\quad x\in \mathbb{R}^3,\end{equation} where $V(x)=V(r, x_3)$ with $r=\sqrt{x_1^2+x_2^2}$ is 1-periodic in ... More
Derived categories and Calabi-Yau algebrasNov 23 2017We show that for two derived equivalent algebras, if one is Calabi-Yau, so is the other.
A Topic Modeling Toolbox Using Belief PropagationJan 04 2012Apr 05 2012Latent Dirichlet allocation (LDA) is an important hierarchical Bayesian model for probabilistic topic modeling, which attracts worldwide interests and touches on many important applications in text mining, computer vision and computational biology. This ... More
An IMU-Aided Carrier-Phase Differential GPS Positioning SystemJun 05 2012We consider the problem of carrier-phase differential GPS positioning for an land vehicle navigation system (LVNS), tightly coupled with an inertial measurement unit (IMU) and a speedometer. The primary focus is to apply Bayesian network to an IMU-aided ... More
Sample-based Population ObserversNov 29 2017In this paper, a first sample-based formulation of the recently considered population observers, or ensemble observers, which estimate the state distribution of dynamic populations from measurements of the output distribution is established. The results ... More
About Stability of Irreducibility for Germs of Holomorphic FunctionsApr 11 2005This survey is about irreducibility for germs of a holomorphic functions $f$. I will show that when the dimension of the domain $U$ of this holomorphic function $f$ is greater than 2, the irreducibility of germs are not necessary to be stable. That means, ... More
A Novel Block-DCT and PCA Based Image Perceptual Hashing AlgorithmJun 18 2013Image perceptual hashing finds applications in content indexing, large-scale image database management, certification and authentication and digital watermarking. We propose a Block-DCT and PCA based image perceptual hash in this article and explore the ... More
Poincaré type inequalities for group measure spaces and related transportation cost inequalitiesJun 25 2013Nov 15 2013Let $G$ be a countable discrete group with an orthogonal representation $\alpha$ on a real Hilbert space $H$. We prove $L_p$ Poincar\'e inequalities for the group measure space $L_\infty(\Omega_H,\gamma)\rtimes G$, where both the group action and the ... More
A general approach to enhance slope limiters on non-uniform rectilinear gridsJan 06 2013May 20 2014Most slope limiter functions in high-resolution finite volume methods to solve hyperbolic conservation laws are designed assuming one-dimensional uniform grids, and they are also used to compute slope limiters in computations on non-uniform rectilinear ... More
How Vertex reinforced jump process arises naturallyNov 11 2013Nov 05 2015We prove that the only nearest neighbor jump process with local dependence on the occupation times satisfying the partial exchangeability property is the vertex reinforced jump process, under some technical conditions. This result gives a counterpart ... More
A Russo Seymour Welsh Theorem for critical site percolation on \(\mathbb{Z}^2\)Sep 09 2013The Russo-Seymour-Welsh Theorem for Z^2 bond or T (triangular lattice) site percolation states that at criticality, for all fixed real {\lambda}, the probability of the existence of a horizontal occupied crossing of each rectangle with size n*{\lambda}n ... More
A hybrid finite difference--finite volume approach to solve first-order hyperbolic conservation laws with superior accuracyDec 21 2012A hybrid finite difference--finite volume (FD-FV) approach for discretization in space is proposed to solve first-order hyperbolic conservation laws. Unlike any conventional finite difference method (FDM) or finite volume method (FVM), this approach uses ... More
Resource Sharing for Multi-Tenant NoSQL Data Store in CloudJan 05 2016Multi-tenancy hosting of users in cloud NoSQL data stores is favored by cloud providers because it enables resource sharing at low operating cost. Multi-tenancy takes several forms depending on whether the back-end file system is a local file system (LFS) ... More
Inferring network topology via the propagation processNov 20 2013Inferring the network topology from the dynamics is a fundamental problem with wide applications in geology, biology and even counter-terrorism. Based on the propagation process, we present a simple method to uncover the network topology. The numerical ... More
Fast Optimal Joint Tracking-Registration for Multi-Sensor SystemsMay 09 2012Sensor fusion of multiple sources plays an important role in vehicular systems to achieve refined target position and velocity estimates. In this article, we address the general registration problem, which is a key module for a fusion system to accurately ... More
Estimating Rigid Transformation Between Two Range Maps Using Expectation Maximization AlgorithmMar 31 2012We address the problem of estimating a rigid transformation between two point sets, which is a key module for target tracking system using Light Detection And Ranging (LiDAR). A fast implementation of Expectation-maximization (EM) algorithm is presented ... More
Decomposition of Cartan Matrix and conjectures on Brauer character degreesJul 24 2007Oct 20 2008Let $G$ be a finite group and $N$ be a normal subgroup of $G$. Let $J=J(F[N])$ denote the Jacboson radical of $F[N]$ and $I={\rm Ann}(J)=\{\alpha \in F[G]|J\alpha =0\}$. We have another algebra $F[G]/I$. We study the decomposition of Cartan matrix of ... More
Global Solutions to the Gas-Vacuum Interface Problem of Isentropic Compressible Inviscid Flows with Damping in Spherically Symmetric Motions and Physical VacuumOct 30 2014For the physical vacuum free boundary problem with the sound speed being $C^{{1}/{2}}$-H$\ddot{\rm o}$lder continuous near vacuum boundaries of the three-dimensional compressible Euler equations with damping, the global existence of spherically symmetric ... More
Models of Quantum Algorithms in Sets and RelationsMar 19 2015Jul 19 2015We construct abstract models of blackbox quantum algorithms using a model of quantum computation in sets and relations, a setting that is usually considered for nondeterministic classical computation. This alternative model of quantum computation (QCRel), ... More
Drell-Yan process with jet vetoes: breaking of generalized factorizationJul 07 2015Oct 29 2015Resummation of hadron collision cross sections, when the measurement imposes a hierarchy of scales, relies on factorization. Cancellation of Glauber / Coulomb gluons is a necessary condition for factorization. For Drell-Yan-like processes, the known proofs ... More
$μ$- Integrable Functions and Weak Convergence of Finite MeasuresSep 14 2017Nov 16 2018This paper deals with functions that defined in metric spaces and valued in complete paranormed vector spaces or valued in Banach spaces, and obtains some necessary and sufficient conditions for weak convergence of finite measures.
Analytic Center Cutting Plane Methods for Variational Inequalities over Convex BodiesJun 12 2017Oct 31 2017An analytic center cutting plane method is an iterative algorithm based on the computation of analytic centers. In this paper, we propose some analytic center cutting plane methods for solving quasimonotone or pseudomonotone variational inequalities whose ... More
Chern-Simons Theory of Fractional Quantum Hall Effect in (Pseudo) Massless Dirac ElectronsSep 01 2011We derive the effective field theory from the microscopic Hamiltonian of interacting two-dimensional (pseudo) Dirac electrons by performing a statistic gauge transformation. The quantized Hall conductance are expected to be $\sigma_{xy}=\frac{e^2}{h}(2k-1)$ ... More
The Abstract Structure of Quantum AlgorithmsDec 26 2015Quantum information brings together theories of physics and computer science. This synthesis challenges the basic intuitions of both fields. In this thesis, we show that adopting a unified and general language for process theories advances foundations ... More
Equivariant Eilenberg-Mac Lane spectra in cyclic $p$-groupsOct 04 2017Jul 18 2018In this paper we compute $RO(G)$-graded homotopy Mackey functors of $H\underline{\mathbb{Z}}$, the Eilenberg-Mac Lane spectrum of the constant Mackey functor of integers for cyclic p-groups and give a complete computation for $G = C_{p^2}$ . We also discuss ... More
Linear characters and block algebraMar 01 2011This paper will prove that: 1. $G$ has a block only having linear ordinary characters if and only if $G$ is a $p$-nilpotent group with an abelian Sylow $p$-subgroup; 2. $G$ has a block only having linear Brauer characters if and only if $O_{p'}(G)\leq ... More
Computing points on modular curves over finite fieldsMay 20 2013In this paper, we present a probabilistic algorithm to compute the number of $\mathbb{F}_p$-points of modular curve $X_1(n)$. Under the Generalized Riemann Hypothesis(GRH), the algorithm takes $\textrm{O}(n^{56+\delta+\epsilon}\log^{9+\epsilon} p)$ bit ... More
Kolmogorov's law of the iterated logarithm for noncommutative martingalesDec 06 2012Jan 20 2014We prove Kolmogorov's law of the iterated logarithm for noncommutative martingales. The commutative case was due to Stout. The key ingredient is an exponential inequality proved recently by Junge and the author.
The Gaps of Consecutive Eigenvalues of Laplacian on Riemannian ManifoldsJun 08 2016In this paper, we investigate the Dirichlet problem of Laplacian on complete Riemannian manifolds. By constructing new trial functions, we obtain a sharp upper bound of the gap of the consecutive eigenvalues in the sense of the order, which affirmatively ... More
Warasian Economic Equilibrium Problems in Convex RegionsJun 16 2017Nov 23 2017We define Walrasian economic equilibrium in convex regions. We introduce the definition of strict-proper quasimonotone functions, and derive some necessary and sufficient conditions for the existence and uniqueness of Walrasian equilibrium vectors in ... More
Infinite solutions having a prescribed number of nodes for a p-Laplacian problemNov 28 2014In this paper, we are concern with the multiplicity of solutions for a p-Laplacian problem. A weaker super-quadratic assumptions is required on the nonlinearity. Under the weaker condition we give a new proof for the infinite solutions having a prescribed ... More
Quantum key distribution based on Greenberger-Horne-Zeilinger stateJan 13 2000An unsymmetrical quantum key distribution scheme is proposed, its security is guaranteed by the correlation of the Greenberger-Horne-Zeilinger triplet state. In the proposed protocol, the distribution of quantum states are unsymmetrical. This unsymmetrical ... More
Improvement of quantum key distribution protocolsOct 07 1998The security of the previous quantum key distribution protocols, which is guaranteed by the nature of physics law, is based on the legitimate users. However, the impersonation of Alice or Bob by eavesdropper, in practice. will be existed in a large probability. ... More
On some $q$-identities related to divisor functionsJun 16 2004We give generalizations and simple proofs of some $q$-identities of Dilcher, Fu and Lascoux related to divisor functions.
Differential equations on unitarity cut surfacesFeb 08 2017Jun 23 2017We reformulate differential equations (DEs) for Feynman integrals to avoid doubled propagators in intermediate steps. External momentum derivatives are dressed with loop momentum derivatives to form tangent vectors to unitarity cut surfaces, in a way ... More
Upper Bound Estimates for Eigenvalues of the Poly-LaplacianJul 19 2013May 12 2016In this paper, we obtain a sharp upper bound for the sum of the first $k$-th eigenvalues for this Dirichlet problem of poly-Laplacian with any order, which is viewed as an extension of the result due to Cheng and Wei (Journal of Differential Equations, ... More
Lagrangian Multipliers for Presubconvexlike Optimization Problems of Set Valued FunctionsJun 12 2017In this paper, we discuss scalar Lagrangian multipliers and vector Lagrangian multipliers for constrained set-valued optimization problems. We obtain some necessary conditions, sufficient conditions, as well as necessary and sufficient conditions for ... More
Saddle-point theorems for the generalized cone-convex optimizations of set-valued functionsSep 14 2017This paper works with preconvexlike set-valued vector optimization problems in topological linear spaces. A Fakas-Minkowski alternative theorem, a scalarization theorem, some vector saddle-point theorems and some scalar saddle point theorem are proved. ... More
Likelihood approach for marginal proportional hazards regression in the presence of dependent censoringMay 27 2005In many public health problems, an important goal is to identify the effect of some treatment/intervention on the risk of failure for the whole population. A marginal proportional hazards regression model is often used to analyze such an effect. When ... More
Estimating marginal survival function by adjusting for dependent censoring using many covariatesSep 10 2004Oct 05 2004One goal in survival analysis of right-censored data is to estimate the marginal survival function in the presence of dependent censoring. When many auxiliary covariates are sufficient to explain the dependent censoring, estimation based on either a semiparametric ... More
Learning Joint Embedding for Cross-Modal RetrievalAug 21 2019A cross-modal retrieval process is to use a query in one modality to obtain relevant data in another modality. The challenging issue of cross-modal retrieval lies in bridging the heterogeneous gap for similarity computation, which has been broadly discussed ... More
A Class of Irreducible Modules for the Extended Affine Lie Algebra $\widetilde{\frak{gl}_l({\mathbb{C}_q})}$Apr 07 2009We construct a class of modules for extended affine Lie algebra $\widetilde{\frak{gl}_l({\bc_q})}$ by using the free fields. A necessary and sufficient condition is given for those modules being irreducible.
Classical Poisson structures and r-matrices from constrained flowsSep 14 1995We construct the classical Poisson structure and $r$-matrix for some finite dimensional integrable Hamiltonian systems obtained by constraining the flows of soliton equations in a certain way. This approach allows one to produce new kinds of classical, ... More
Black holes, pure classic micro-states' countingJun 20 2016Jul 15 2016Using observations that during collapses of the dust star, horizons always form before central singularities do, we solve two key puzzles perplexing physicists for many years. i) micro-interpretations for the black holes' entropy as their inner mass distribution ... More
A positivity-preserving scheme for the simulation of streamer discharges in non-attaching and attaching gasesJun 04 2013Assumed having axial symmetry, the streamer discharge is often described by a fluid model in cylindrical coordinate system, which consists of convection dominated (diffusion) equations with source terms, coupled with a Poisson's equation. Without additional ... More
Synopsis of a Unified Theory for All Forces and MatterOct 30 2016Assuming the (9+1)-dimensional Kaluza-Klein gravity interacting with elementary matter fermions, we propose an informationally-complete unified theory for all forces. Due to entanglement-driven symmetry breaking, the SO(9,1) symmetry of the (9+1)-dimensional ... More
An informationally-complete unification of quantum spacetime and matterDec 05 2014Aug 29 2015It was known long ago that quantum theory and general relativity, two pillars of modern physics, are in sharp conflict in their foundations. Their fundamental inconsistencies render a consistent theory of quantum gravity the most challenging problem in ... More
Mixed $q$-Gaussian algebrasMay 28 2015We provide a unified approach for constructing Wick words in mixed $q$-Gaussian algebras, which are generated by $s_j=a_j+a_j^*$, $j=1,\cdots,N$, where $a_ia^*_j - q_{ij}a^*_ja_i =\delta_{ij}$. Here we also allow equality in $-1\le q_{ij}=q_{ji}\le 1$. ... More
Overlapping group logistic regression with applications to genetic pathway selectionOct 17 2015Sep 13 2016Discovering important genes that account for the phenotype of interest has long been challenging in genomewide expression analysis. Analyses such as Gene Set Enrichment Analysis (GSEA) that incorporate pathway information have become widespread in hypothesis ... More
On Nonconvex Decentralized Gradient DescentAug 20 2016Consensus optimization has received considerable attention in recent years. A number of decentralized algorithms have been proposed for {convex} consensus optimization. However, on \emph{nonconvex} consensus optimization, our understanding to the behavior ... More
Horseshoe and periodic orbits for quasi-periodic forced systemsDec 26 2016In this paper, we investigate chaotic phenomena on quasi-periodic forced systems. We introduce the notion of random periodic orbits and random horseshoe for a quasi-periodic forced system $(M\times \Omega,\phi)$ by viewing $\phi$ as a random dynamical ... More
A Decomposition-Based Many-Objective Evolutionary Algorithm with Local Iterative UpdateJun 27 2018Existing studies have shown that the conventional multi-objective evolutionary algorithms (MOEAs) based on decomposition may lose the population diversity when solving some many-objective optimization problems. In this paper, a simple decomposition-based ... More
Stochastic and Chance-Constrained Conic Distribution System Expansion Planning Using Bilinear Benders DecompositionApr 01 2017Second order conic programming (SOCP) has been used to model various applications in power systems, such as operation and expansion planning. In this paper, we present a two-stage stochastic mixed integer SOCP (MISOCP) model for the distribution system ... More
Improving information filtering via network manipulationAug 30 2012Nov 21 2012Recommender system is a very promising way to address the problem of overabundant information for online users. Though the information filtering for the online commercial systems received much attention recently, almost all of the previous works are dedicated ... More
New Identities of Hall-Littlewood Polynomials and Rogers-Ramanujan TypeOct 16 2001We prove two new summation formulae of Hall-Littlewood polynomials over partitions into bounded parts and derive some new multiple $q$-identities of Rogers-Ramanujan type.
A Computer-Assisted Stability Proof for a Stationary Solution of Reaction-Diffusion EquationsAug 20 2014Jan 19 2015The main subject of this paper is a computer assisted stability proof for a stationary solution of reaction diffusion equations in one dimensional space. We use Nakao's numerical verification method to enclose a stationary solution of reaction-diffusion ... More
Schwarzschild Fuzzball and Explicitly Unitary Hawking RadiationsFeb 02 2018We provide a fuzzball picture for Schwarzshild black holes, in which matters and energy consisting the hole are not positioned on the central point exclusively but oscillate around there in a serial of eigen-modes, each of which features a special level ... More
Information Missing Puzzle, Where Is Hawking's Error?Apr 16 2018Mar 11 2019Matters falling into and consisting of a blackhole can oscillate periodically across instead of accumulate statically on the central point and form singularities there. In quantum language, this oscillation not only resolves central singularities of the ... More
Multi-stream 3D FCN with Multi-scale Deep Supervision for Multi-modality Isointense Infant Brain MR Image SegmentationNov 28 2017Mar 09 2019We present a method to address the challenging problem of segmentation of multi-modality isointense infant brain MR images into white matter (WM), gray matter (GM), and cerebrospinal fluid (CSF). Our method is based on context-guided, multi-stream fully ... More
Global Existence of Smooth Solutions and Convergence to Barenblatt Solutions for the Physical Vacuum Free Boundary Problem of Compressible Euler Equations with DampingJul 23 2014Jul 31 2014For the physical vacuum free boundary problem with the sound speed being $C^{{1}/{2}}$-H$\ddot{\rm o}$lder continuous near vacuum boundaries of the one-dimensional compressible Euler equations with damping, the global existence of the smooth solution ... More
Statistics of Two Kinds of Entangled Quantum Many-body SystemsSep 28 2013Jul 02 2015In this paper, we show two kinds of entangled many body systems with special statistic properties. Firstly, an entangled fermions system with a pairwise entanglement between every two particles in the lowest energy energy level obeys the fractional statistics. ... More
Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanicsJan 28 2019In this paper an abstract evolutionary hemivariational inequality with a history-dependent operator is studied. First, a result on its unique solvability and solution regularity is proved by applying the Rothe method. Next, we introduce a numerical scheme ... More
Detecting topology change via correlations and entanglement from gauge/gravity correspondenceMay 30 2017Feb 13 2018We compute a momentum space version of the entanglement spectrum and entanglement entropy of general Young tableau states, and one-point functions on Young tableau states. These physical quantities are used to measure the topology of the dual spacetime ... More
Asymptotic results for maximum likelihood estimators in joint analysis of repeated measurements and survival timeFeb 11 2006Maximum likelihood estimation has been extensively used in the joint analysis of repeated measurements and survival time. However, there is a lack of theoretical justification of the asymptotic properties for the maximum likelihood estimators. This paper ... More
Weighted Residuals for Very Deep NetworksMay 28 2016Deep residual networks have recently shown appealing performance on many challenging computer vision tasks. However, the original residual structure still has some defects making it difficult to converge on very deep networks. In this paper, we introduce ... More
The $q$-tangent and $q$-secant numbers via continued fractionsNov 24 2009Apr 22 2010It is well known that the $(-1)$-evaluation of the enumerator polynomials of permutations (resp. derangements) by the number of excedances gives rise to tangent numbers (resp. secant numbers). Recently, two distinct $q$-analogues of the latter result ... More
Subgaussian 1-cocycles on discrete groupsNov 20 2013Jun 12 2015We prove the $L_p$ Poincar\'e inequalities with constant $C\sqrt{p}$ for $1$-cocycles on countable discrete groups under Bakry--Emery's $\Gamma_2$-criterion. These inequalities determine an analogue of subgaussian behavior for 1-cocycles. Our theorem ... More
Noncommutative martingale deviation and Poincaré type inequalities with applicationsNov 14 2012Dec 28 2013We prove a deviation inequality for noncommutative martingales by extending Oliveira's argument for random matrices. By integration we obtain a Burkholder type inequality with satisfactory constant. Using continuous time, we establish noncommutative Poincar\'e ... More
Cost-Effective Millimeter Wave Communications with Lens Antenna ArrayOct 08 2016Millimeter wave (mmWave) communication is a promising technology for the fifth-generation (5G) wireless system. However, the large number of antennas used and the wide signal bandwidth in mmWave systems render the conventional multi-antenna techniques ... More
Energy-Efficient UAV Communication with Trajectory OptimizationAug 05 2016Wireless communication with unmanned aerial vehicles (UAVs) is a promising technology for future communication systems. In this paper, we study energy-efficient UAV communication with a ground terminal via optimizing the UAV's trajectory, a new design ... More
Wireless Information Surveillance via Proactive Eavesdropping with Spoofing RelayJun 13 2016Wireless information surveillance, by which suspicious wireless communications are closely monitored by legitimate agencies, is an integral part of national security. To enhance the information surveillance capability, we propose in this paper a new proactive ... More
Millimeter Wave MIMO with Lens Antenna Array: A New Path Division Multiplexing ParadigmJul 07 2015Millimeter wave (mmWave) communication is a promising technology for 5G cellular systems. To compensate for the severe path loss in mmWave systems, large antenna arrays are generally used to achieve significant beamforming gains. However, due to the high ... More
The Role of Translated Information Quality in a Global e-Retailing ContextMay 28 2016Global e-retailing continues to gain in popularity, but little attention is being paid to the role of translation. This paper proposes a study investigating whether improving translated information quality of product descriptions increases the customers' ... More
Abstract structure of unitary oracles for quantum algorithmsJun 05 2014Dec 30 2014We show that a pair of complementary dagger-Frobenius algebras, equipped with a self-conjugate comonoid homomorphism onto one of the algebras, produce a nontrivial unitary morphism on the product of the algebras. This gives an abstract understanding of ... More
Quantum Algorithms for Compositional Natural Language ProcessingAug 04 2016We propose a new application of quantum computing to the field of natural language processing. Ongoing work in this field attempts to incorporate grammatical structure into algorithms that compute meaning. In (Coecke, Sadrzadeh and Clark, 2010), the authors ... More
Contextuality and the Weak Axiom in the Theory of ChoiceNov 23 2015Recent work on the logical structure of non-locality has constructed scenarios where observations of multi-partite systems cannot be adequately described by compositions of non-signaling subsystems. In this paper we apply these frameworks to economics. ... More
Symmetric unimodal expansions of excedances in colored permutationsNov 23 2014Jun 03 2015We consider several generalizations of the classical $\gamma$-positivity of Eulerian polynomials (and their derangement analogues) using generating functions and combinatorial theory of continued fractions. For the symmetric group, we prove an expansion ... More