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One Electron Atom in Special Relativity with de Sitter Space-Time SymmetryApr 18 2010Feb 17 2012The de Sitter invariant Special Relativity (dS-SR) is a SR with constant curvature, and a natural extension of usual Einstein SR (E-SR). In this paper, we solved the dS-SR Dirac equation of Hydrogen by means of the adiabatic approach and the quasi-stationary ... More

Variational principle for contact Tonelli Hamiltonian systemsMay 12 2015We establish an implicit variational principle for the equations of the contact flow generated by the Hamiltonian $H(x,u,p)$ with respect to the contact 1-form $\alpha=du-pdx$ under Tonelli and Osgood growth assumptions. It is the first step to generalize ... More

Weak KAM theory for general Hamilton-Jacobi equations II: the fundamental solution under Lipschitz conditionsAug 17 2014We consider the following evolutionary Hamilton-Jacobi equation with initial condition: \begin{equation*} \begin{cases} \partial_tu(x,t)+H(x,u(x,t),\partial_xu(x,t))=0,\\ u(x,0)=\phi(x), \end{cases} \end{equation*} where $\phi(x)\in C(M,\mathbb{R})$. ... More

The existence of stable BGK wavesMay 05 2016Jan 04 2017The 1D Vlasov-Poisson system is the simplest kinetic model for describing an electrostatic collisonless plasma, and the BGK waves are its famous exact steady solutions. They play an important role on the long time dynamics of a collisionless plasma as ... More

X(1835) as Proton-Antiproton Bound State in Skyrme ModelMay 27 2006Jun 02 2006We present a review to the recent works related to interpreting the exotic particle X(1835) reported by BES as a $N\bar{N}$-baryonium in the Skyrme model. There are two evidences that support this interpretation: 1) There exist a classical $N\bar{N}$-Skyrmion ... More

Quantum integrable system with two color components in two dimensionsNov 22 2001The Davey-Stewartson 1(DS1) system[9] is an integrable model in two dimensions. A quantum DS1 system with 2 colour-components in two dimensions has been formulated. This two-dimensional problem has been reduced to two one-dimensional many-body problems ... More

A Dynamical Approach to Viscosity Solutions of Hamilton-Jacobi EquationsDec 04 2013Mar 15 2014In this paper, we consider the following Hamilton-Jacobi equation with initial condition: \begin{equation*} \begin{cases} \partial_tu(x,t)+H(x,t,u(x,t),\partial_xu(x,t))=0, u(x,0)=\phi(x). \end{cases} \end{equation*} Under some assumptions on the convexity ... More

Evidence for Special Relativity with de Sitter Space-Time SymmetryMay 28 2011I show the formulation of de Sitter Special Relativity (dS-SR) based on Dirac-Lu-Zou-Guo's discussions. dS-SR quantum mechanics is formulated, and the dS-SR Dirac equation for hydrogen is suggested. The equation in the earth-QSO framework reference is ... More

$K^*(892)$ Electromagnetic Mass AnomalyDec 09 2000Electromagnetic masses of neutral $K^*(892)$ may be larger than one of charged $K^*(892)$. It is unusual and is called $K^*$-EM-mass anomaly. We review the studies on this issue, and point out that $K^*$-mass splitting can be measured in BES accurately. ... More

An Efficient List Decoder Architecture for Polar CodesSep 16 2014Nov 16 2014Long polar codes can achieve the symmetric capacity of arbitrary binary-input discrete memoryless channels under a low complexity successive cancelation (SC) decoding algorithm. However, for polar codes with short and moderate code length, the decoding ... More

Killing Vectors in Spacetime of the De Sitter Invariant Special RelativityJul 08 2017In this paper, we use the Killing vector method to formulate the de Sitter/Anti-de Sitter invariant special relativity (dS/AdS-SR). Through solving the Einstein equation with $\Lambda\neq 0$, the basic inertial metric for dS/AdS-SR is determined to be ... More

Hydrogen Atom and Time Variation of Fine-Structure ConstantSep 26 2009Nov 21 2009In this paper, we have solved the de Sitter special relativistic ($\mathcal{SR}_{cR}$-) Dirac equation of hydrogen in the earth-QSO(quasar) framework reference by means of the adiabatic approach. The aspects of geometry effects of de Sitter space-time ... More

Unstable and Stable Galaxy ModelsApr 09 2007Dec 12 2007To determine the stability and instability of a given steady galaxy configuration is one of the fundamental problems in the Vlasov theory for galaxy dynamics. In this article, we study the stability of isotropic spherical symmetric galaxy models $f_{0}(E)$, ... More

Homotopy cartesian diagrams in n-angulated categoriesDec 28 2016It has been proved by Bergh and Thaule that the higher mapping cone axiom is equivalent to the higher octahedral axiom for n-angulated categories. In this note, we use homotopy cartesian diagrams to give several new equivalent statements of the higher ... More

A Quantum Integrable System with Two Colour-Components in Two DimensionsJun 21 1999Dec 26 1999The Davey-Stewartson 1(DS1) system[9] is an integrable model in two dimensions. A quantum DS1 system with 2 colour-components in two dimensions has been formulated. This two-dimensional problem has been reduced to two one-dimensional many-body problems ... More

Weak KAM theory for general Hamilton-Jacobi equations III: the variational principle under Osgood conditionsAug 17 2014We consider the following evolutionary Hamilton-Jacobi equation with initial condition: \begin{equation*} \begin{cases} \partial_tu(x,t)+H(x,u(x,t),\partial_xu(x,t))=0,\\ u(x,0)=\phi(x), \end{cases} \end{equation*} where $\phi(x)\in C(M,\mathbb{R})$. ... More

A hybrid partial sum computation unit architecture for list decoders of polar codesJun 19 2015Although the successive cancelation (SC) algorithm works well for very long polar codes, its error performance for shorter polar codes is much worse. Several SC based list decoding algorithms have been proposed to improve the error performances of both ... More

Quantum HorizonsMar 15 2004Feb 11 2005Treating macro-black hole as quantum states, and using Brown-York quaselocal gravitational energy definition and Heisenberg uncertainty principle, we find out the classical horizon with singularity spreads into a quantum horizon in which the space-time ... More

Feature-rich plasmon excitations in sliding bilayer grapheneJul 03 2018The tight-binding model is closely associated with the modified layer-based random-phase approximation to thoroughly investigate the electron-electron interactions in sliding bilayer graphene. The Coulomb interactions and intralayer and interlayer atomic ... More

Quantum entropy of the Kerr black hole arising from gravitational perturbationApr 17 2001Jun 27 2001The quantum entropy of the Kerr black hole arising from gravitational perturbation is investigated by using Null tetrad and \'t Hooft\'s brick-wall model. It is shown that effect of the graviton\'s spins on the subleading correction is dependent of the ... More

Quantum entropy of the general non-extreme stationary axisymmetric black hole due to minimally coupled quantum scalar fieldApr 01 1999Jun 16 1999By using the 't Hooft "brick wall" model and the Pauli-Villars regularization scheme we calculate the statistical-mechanical entropy arising from the minimally coupled scalar fields which rotate with the azimuthal angular velocity $\Omega_0=\Omega_H$ ... More

Entropies of Rotating Charged Black Holes from Conformal Field Theory at Killing HorizonsApr 19 2000May 24 2000The covariant phase technique is used to compute the constraint algebra of the stationary axisymmetric charged black hole. A standard Virasoro subalgebra with corresponding central charge is constructed at a Killing horizon with Carlip's boundary conditions. ... More

Entropies of the general nonextreme stationary axisymmetric black hole: statistical mechanics and thermodynamicsJul 05 1999Oct 05 1999Starting from metric of the general nonextreme stationary axisymmetric black hole in four-dimensional spacetime, both statistical-mechanical and thermodynamical entropies are studied. First, by means of the "brick wall" model in which the Dirichlet condition ... More

Effect of spins on the quantum entropy of black holesDec 19 2000Mar 03 2001By using the Newman-Penrose formalism and 't Hooft brick-wall model, the quantum entropies of the Kerr-Newman black hole due to the Dirac and electromagnetic fields are calculated and the effects of the spins of the photons and Dirac particles on the ... More

Computational Advantages of Relevance Reasoning in Bayesian Belief NetworksFeb 06 2013This paper introduces a computational framework for reasoning in Bayesian belief networks that derives significant advantages from focused inference and relevance reasoning. This framework is based on d -separation and other simple and computationally ... More

Quantum horizon and thermodynamics of black holeJun 04 2004A semi-classical reasoning leads to the non-commutativity of space and time coordinates near the horizon of static non-extreme black hole, and renders the classical horizon spreading to {\it Quantum Horizon} . In terms of the background metric of the ... More

Understanding light scalar meson by color-magnetic wavefunction in QCD sum ruleJan 11 2009Jul 19 2009In this paper, we study the $0^{+}$ nonet mesons as tetraquark states with interpolating currents induced from the color-magnetic wavefunction. This wavefunction is the eigenfunction of effective color-magnetic Hamiltonian with the lowest eigenvalue, ... More

Statistical Entropy of a Stationary Dilaton Black Hole from Cardy FormulaMay 24 2000Sep 27 2000With Carlip's boundary conditions, a standard Virasoro subalgebra with corresponding central charge for stationary dilaton black hole obtained in the low-energy effective field theory describing string is constructed at a Killing horizon. The statistical ... More

Remarks on 't Hooft's Brick Wall ModelMar 03 2003Jul 25 2003A semi-classical reasoning leads to the non-commutativity of the space and time coordinates near the horizon of Schwarzschild black hole. This non-commutativity in turn provides a mechanism to interpret the brick wall thickness hypothesis in 't Hooft's ... More

A Unified Analysis of Stochastic Momentum Methods for Deep LearningAug 30 2018Stochastic momentum methods have been widely adopted in training deep neural networks. However, their theoretical analysis of convergence of the training objective and the generalization error for prediction is still under-explored. This paper aims to ... More

Stochastic Primal-Dual Algorithms with Faster Convergence than $O(1/\sqrt{T})$ for Problems without Bilinear StructureApr 23 2019Previous studies on stochastic primal-dual algorithms for solving min-max problems with faster convergence heavily rely on the bilinear structure of the problem, which restricts their applicability to a narrowed range of problems. The main contribution ... More

Implication of Spatial and Temporal Variations of the Fine-Structure ConstantJan 09 2015Temporal and spatial variation of fine-structure constant $\alpha\equiv e^2/\hbar c$ in cosmology has been reported in analysis of combination Keck and VLT data. This paper studies this variation based on consideration of basic spacetime symmetry in physics. ... More

Noncommutative QED and Muon Anomalous Magnetic MomentSep 12 2001Nov 08 2001The muon anomalous $g$ value, $a_\mu=(g-2)/2$, is calculated up to one-loop level in noncommutative QED. We argue that relativistic muon in E821 experiment nearly always stays at the lowest Landau level. So that spatial coordinates of muon do not commute ... More

CP violation in psi(2S) -> J/psi pi pi processesJan 30 2000Apr 01 2000We propose to search for CP-violating effects in the decay psi(2S)->J/psi+pi+pi. The scheme has the advantage that one does not need to track two or more CP-conjugate processes. Model independent amplitudes are derived for this purpose. The fact that ... More

Chiral Perturbation Theory and U(3)_L\times U(3)_R Chiral Theory of MesonsApr 11 1997Jun 14 1998We examine low energy limit of $U(3)_L\times U(3)_R$ chiral theory of mesons through integrating out fields of vector and axial-vector mesons. The effective lagrangian for pseudoscalar mesons at $O(p^4)$ has been obtained, and five low energy coupling ... More

Chiral Expansion Theory at Vector Meson ScaleOct 19 2000Dec 04 2000We study physics on $\rho(770)$ and $\omega(782)$ in framework of chiral constituent quark model. The effective action is derived by proper vertex method, which can capture all order information of chiral expansion. The $N_c^{-1}$ expansion is also studied ... More

Conformal Field Theory Correlators From sine-Gordon Model on AdS SpacetimeAug 23 2000Using the proposed AdS/CFT correspondence, we calculate the correlators of operators of conformal field theory at the boundary of AdS$_{d+1}$ corresponding to the sine-Gordon model in the bulk.

Properties of Interstellar Medium In Infrared Bright QSOs Probed by [O I]63 micron and [C II]158 micron Emission LinesMar 23 2016We present a study of interstellar medium in the host galaxies of 9 QSOs at 0.1<z<0.2 with blackhole masses of $3\times10^7\,M_\odot$ to $3\times10^9\,M_\odot$ based on the far-IR spectroscopy taken with {\it Herschel Space Observatory}. We detect the ... More

Unparticle Physics in DISMay 06 2007Aug 20 2007The unparticle stuff scenario related to the notrivial IR fixed point in 4D-conformal field theory is recently suggested by Georgi. We illustrate its physical effects in Deep Inelastic Scattering (DIS) process. A possible signal of unparticle related ... More

Electromagnetic self-energies of vector mesons and electromagnetic mass anomaly of the massive Yang-Mills particlesApr 02 1999Apr 03 1999A systematic method developed by the authors to evaluate the one-loop electromagnetic self-energies of the low-lying mesons is extended to the calculation of the vector sector including $\rho$, $\omega$, and $\phi$-mesons. The theoretical result of $\rho^0-\rho^\pm$ ... More

Spatial Temporal Graph Convolutional Networks for Skeleton-Based Action RecognitionJan 23 2018Jan 25 2018Dynamics of human body skeletons convey significant information for human action recognition. Conventional approaches for modeling skeletons usually rely on hand-crafted parts or traversal rules, thus resulting in limited expressive power and difficulties ... More

A UV completion of scalar electrodynamicsOct 29 2010In previous works, we constructed UV-finite and unitary scalar field theories with an infinite spectrum of propagating modes for arbitrary polynomial interactions. In this paper, we introduce infinitely many massive vector fields into a U(1) gauge theory ... More

Scheduling Parallel Kalman Filters for Multiple ProcessesOct 19 2011Jul 17 2012In this paper, we investigate the problem of scheduling parallel Kalman filters for multiple processes, where each process is observed by a Kalman filter and at each time step only one Kalman filter could obtain observation due to practical constraints. ... More

Backward Compton Scattering and QED with Noncommutative Plane in the Strong Uniform Magnetic FieldApr 30 2007May 14 2008In the strong uniform magnetic field, the noncommutative plane (NCP) caused by the lowest Landau level (LLL) effect, and QED with NCP (QED-NCP) are studied. Being similar to the condensed matter theory of quantum Hall effect, an effective filling factor ... More

Second Order Perturbation Corrections to Baryon Mass Spectrum in Skyrmion Quantum MechanicsFeb 21 1994The corrections to the Gell-Mann-Okubo relations of baryon-masses are presented in the SU(3) Skyrme model. These corrections are calculated up to the second order in flavor breaking at the skyrmion quantum mechanics. The results are compatible with the ... More

Homotopy Smoothing for Non-Smooth Problems with Lower Complexity than $O(1/ε)$Jul 13 2016Nov 03 2016In this paper, we develop a novel {\bf ho}moto{\bf p}y {\bf s}moothing (HOPS) algorithm for solving a family of non-smooth problems that is composed of a non-smooth term with an explicit max-structure and a smooth term or a simple non-smooth term whose ... More

Unusual Coulomb excitations in ABC-stacked trilayer grapheneJan 19 2018The layer-based random-phase approximation is further developed to investigate electronic excitations in tri-layer ABC-stacked graphene. All the layer-dependent atomic interactions and Coulomb interactions are included in the dynamic charge screening. ... More

Homotopy Smoothing for Non-Smooth Problems with Lower Complexity than $O(1/ε)$Jul 13 2016In this paper, we develop a novel {\bf ho}moto{\bf p}y {\bf s}moothing (HOPS) algorithm for solving a family of non-smooth problems that is composed of a non-smooth term with an explicit max-structure and a smooth term or a simple non-smooth term whose ... More

Covariant amplitudes for mesonsMar 15 1999We show how to construct covariant amplitudes for processes involving higher spins in this paper. First we give the explicit expressions of Rarita-Schwinger wave functions and propagators for bosons with spins, then kinematic singularity free 3-leg effective ... More

A Candidate for $1^{--}$ Strangeonium HybridNov 26 2006Jun 03 2007We propose that the recently observed structure at 2175MeV by the Babar Collaboration is a $1^{--}$ strangeonium hybrid, and we investigate this interpretation from both the flux tube model and the constituent gluon model. The decay patterns and decay ... More

Diquark in Nona-quark StatesJun 13 2005Aug 04 2005We study the nonaquark states $S^0(3115)$ and $S^+(3140)$ which are reported by KEK-PS (Phys.Lett. B597 (2004) 236; nucl-ex/0310018) by means of the quark model with diquark correlation. The nonaquark states form $\bf{1},\bf{8},\bf{10},\bar{\bf{10}},\bf{27},\bar{\bf{35}}$ ... More

On Convergence to Stochastic IntegralsJun 24 2010Aug 01 2010Weak convergence of various general functionals of partial sums of dependent random variables to stochastic integral now play a major role in the modern statistics theory. In this paper, we obtain the weak convergence of various general functionals of ... More

A note on the mass splitting of K*(892)Oct 15 2007Nov 23 2007Belle Collaboration reported a new observed value of K*-(892) mass by studying tau --> K_S pi nu_tau decay, which is significantly different from the current world average value given by Particle Data Group 2006. Motivated by this new data, we revisit ... More

$ρ^0-ω$ mixing in U(3)}$_L\times$ U(3)$_R$ chiral theory of mesonsJan 02 1998Jul 24 1998In this paper, U(3)$_L\times$ U(3)$_R$ chiral theory of mesons is extended to the leading order in quark mass expansion in order to evaluate the $\rho^0-\omega$ mixing. It is shown that the use of path integral method to integrate out the quark fields ... More

Electromagnetic Masses of the Massive Yang-Mills Particles K^*(892)Nov 11 1996Electromagnetic mass difference between neutral $K^*$ and charged $K^*$ has been calculated in the $U(3)_L\times U(3)_R$ chiral fields theory of mesons. It has been revealed that the non-abelian gauge structure of the massive Yang-Mills lagrangian obeyed ... More

Backward Compton Scattering in Strong Uniform Magnetic FieldSep 21 2006In strong uniform magnetic field, the vacuum Non-Commutative Plane (NCP) caused by the lowest Landau level(LLL) effect and the QED with NCP (QED-NCP) are studied. Being similar to the theory of Quantum Hall effect, an effective filling factor $f(B)$ is ... More

Aubry-Mather and weak KAM theories for contact Hamiltonian systems. Part 1: Strictly increasing caseJan 17 2018May 12 2018This paper is concerned with the study of Aubry-Mather and weak KAM theories for contact Hamiltonian systems with Hamiltonians $H(x,u,p)$ defined on $T^*M\times\mathbb{R}$, satisfying Tonelli conditions with respect to $p$ and $0<\frac{\partial H}{\partial ... More

Improved Gell-Mann--Okubo Relations and SU(3) Rotation Excitations of Baryon StatesFeb 06 2004Feb 17 2004The corrections to the Gell-Mann--Okubo relations of baryon masses are presented in the SU(3) Skyrme model. These corrections are calculated up to the second order in flavor breaking at the skyrmion quantum mechanics. The results are compatible with the ... More

A multi-mode area-efficient SCL polar decoderOct 26 2015Polar codes are of great interest since they are the first provably capacity-achieving forward error correction codes. To improve throughput and to reduce decoding latency of polar decoders, maximum likelihood (ML) decoding units are used by successive ... More

Symbol-Based Successive Cancellation List Decoder for Polar CodesMay 20 2014Oct 14 2014Polar codes is promising because they can provably achieve the channel capacity while having an explicit construction method. Lots of work have been done for the bit-based decoding algorithm for polar codes. In this paper, generalized symbol-based successive ... More

Chiral Expansion at Energy Scale of $ρ$-MassJan 17 2000Nov 24 2000We study chiral expansion at $m_\rho$-scale in framework of chiral constituent quark model. The lowest vector meson resonsances are treated as composited fields of constituent quarks. We illustrate that, at energy scale of $\rho$-meson mass, the chiral ... More

Large N_c Expansion in Chiral Quark Model of MesonsJul 13 1999Nov 29 1999We study SU(3)$_L\timesSU(3)_R$ chiral quark model of mesons up to the next to leading order of $1/N_c$ expansion. Composite vector and axial-vector mesons resonances are introduced via non-linear realization of chiral SU(3) and vector meson dominant. ... More

Smoothed Low Rank and Sparse Matrix Recovery by Iteratively Reweighted Least Squares MinimizationJan 29 2014Dec 06 2014This work presents a general framework for solving the low rank and/or sparse matrix minimization problems, which may involve multiple non-smooth terms. The Iteratively Reweighted Least Squares (IRLS) method is a fast solver, which smooths the objective ... More

Reduced Complexity Belief Propagation Decoders for Polar CodesOct 22 2015Polar codes are newly discovered capacity-achieving codes, which have attracted lots of research efforts. Polar codes can be efficiently decoded by the low-complexity successive cancelation (SC) algorithm and the SC list (SCL) decoding algorithm. The ... More

Symbol-Decision Successive Cancellation List Decoder for Polar CodesJan 20 2015Polar codes are of great interests because they provably achieve the capacity of both discrete and continuous memoryless channels while having an explicit construction. Most existing decoding algorithms of polar codes are based on bit-wise hard or soft ... More

The silicate model and carbon rich model of CoRoT-7b, Kepler-9d and Kepler-10bMay 30 2012May 31 2012Possible bulk compositions of the super-Earth exoplanets, CoRoT-7b, Kepler-9d, and Kepler-10b are investigated by applying a commonly used silicate and a non-standard carbon model. Their internal structures are deduced using the suitable equation of state ... More

Kazdan-Warner equation on graphJul 15 2016Let $G=(V,E)$ be a finite graph and $\Delta$ be the usual graph Laplacian. Using the calculus of variations and a method of upper and lower solutions, we give various conditions such that the Kazdan-Warner equation $\Delta u=c-he^u$ has a solution on ... More

Rigorous Effective Field Theory Study on Pion Form FactorMay 18 2000We study $e^+e^-\to\pi^+\pi^-$ cross section and phase shift of $I=l=1$ $\pi-\pi$ scattering below 1GeV in framework of chiral constituent quark model. The results including all order contribution of the chiral perturbation expansion and all one-loop ... More

Electromagnetic self-energies of the neutral pions: Contributions from vector resonancesSep 25 1999By employing vector meson dominance to establish the electromagnetic interactions of hadrons, the electromagnetic self-energy of the neutral pions, which receives the contributions from the vector resonances due to chiral anomaly, is evaluated. This part ... More

A UV completion of scalar field theory in arbitrary even dimensionsOct 17 2009Following a previous work (hep-th/0410248), where a scalar field theory with a modified propagator and phi^4 interaction in 4 dimensions is constructed to be UV-finite, unitary and Lorentz invariant, we discuss in this paper general phi^n theory in arbitrary ... More

Optical Spectroscopy of K-selected Extremely Red GalaxiesDec 05 2003We have obtained spectroscopic redshifts for 24 red galaxies from a sample with median Ks=18.7 and F814W - Ks > 4, using the Keck telescope. These EROshave high resolution morphologies from HST (Yan & Thompson 2003). Among the 24 redshifts, the majority ... More

A High Throughput List Decoder Architecture for Polar CodesOct 09 2015While long polar codes can achieve the capacity of arbitrary binary-input discrete memoryless channels when decoded by a low complexity successive cancelation (SC) algorithm, the error performance of the SC algorithm is inferior for polar codes with finite ... More

A Reduced Latency List Decoding Algorithm for Polar CodesMay 19 2014Oct 13 2014Long polar codes can achieve the capacity of arbitrary binary-input discrete memoryless channels under a low complexity successive cancelation (SC) decoding algorithm. But for polar codes with short and moderate code length, the decoding performance of ... More

Network In NetworkDec 16 2013Mar 04 2014We propose a novel deep network structure called "Network In Network" (NIN) to enhance model discriminability for local patches within the receptive field. The conventional convolutional layer uses linear filters followed by a nonlinear activation function ... More

Convex Sparse Spectral Clustering: Single-view to Multi-viewNov 21 2015May 27 2018Spectral Clustering (SC) is one of the most widely used methods for data clustering. It first finds a low-dimensonal embedding $U$ of data by computing the eigenvectors of the normalized Laplacian matrix, and then performs k-means on $U^\top$ to get the ... More

Existence of positive solutions to some nonlinear equations on locally finite graphsJul 15 2016Let $G=(V,E)$ be a locally finite graph, whose measure $\mu(x)$ have positive lower bound, and $\Delta$ be the usual graph Laplacian. Applying the mountain-pass theorem due to Ambrosetti-Rabinowitz, we establish existence results for some nonlinear equations, ... More

Variational principle for contact Hamiltonian systems and its applicationsFeb 15 2017Feb 04 2018In \cite{WWY}, the authors provided an implicit variational principle for the contact Hamilton's equations \begin{align*} \left\{ \begin{array}{l} \dot{x}=\frac{\partial H}{\partial p}(x,u,p),\\ \dot{p}=-\frac{\partial H}{\partial x}(x,u,p)-\frac{\partial ... More

Graphics Processing Unit acceleration of the Random Phase Approximation in the projector augmented wave methodJul 30 2013The Random Phase Approximation (RPA) for correlation energy in the grid-based projector augmented wave (gpaw) code is accelerated by porting to the Graphics Processing Unit (GPU) architecture. The acceleration is achieved by grouping independent vectors/matrices ... More

Proton-Antiproton Annihilation in BaryoniumFeb 14 2005Jun 11 2005A possible interpretation of the near-threshold enhancement in the $(p\bar{p})$-mass spectrum in $J/\psi{\to}\gamma p{\bar p}$ is the of existence of a narrow baryonium resonance X(1860). Mesonic decays of the $(p\bar{p})$-bound state X(1860) due to the ... More

Quantum Integrable System with Multi-components in Two-DimensionSep 02 2002A quantum N-body problem with 2-component in (2+1)-dimension deduced from integrable model in (2+1) dimension is investigated. The Davey-Stewartson 1(DS1) system[Proc. R. Soc. London, Ser. A {\bf 338}, 101 (1974)] is an integrable model in two dimensions. ... More

Electromagnetic masses of the mesons and the generalization of Dashen's theoremJul 03 1997Oct 08 1997In the framework of $U(3)_L\times U(3)_R$ chiral field theory, Dashen's theorem is reexamined, and the well-known result of $m_{\pi^\pm}^2-m_{\pi^0}^2$ obtained by Das, Guralnik, Mathur, Low, and Young is reproduced. We find that Dashen's theorem, which ... More

Linear relations among 4-point functions in the high energy limit of string theoryApr 05 2006May 30 2006The decoupling of zero-norm states leads to linear relations among 4-point functions in the high energy limit of string theory. Recently it was shown that the linear relations uniquely determine ratios among 4-point functions at the leading order. The ... More

Fine-Grained Categorization via CNN-Based Automatic Extraction and Integration of Object-Level and Part-Level FeaturesJun 22 2017Fine-grained categorization can benefit from part-based features which reveal subtle visual differences between object categories. Handcrafted features have been widely used for part detection and classification. Although a recent trend seeks to learn ... More

Error Performance Analysis of the Symbol-Decision SC Polar DecoderJan 08 2015Polar codes are the first provably capacity-achieving forward error correction codes. To improve decoder throughput, the symbol-decision SC algorithm makes hard-decision for multiple bits at a time. In this paper, we prove that for polar codes, the symbol-decision ... More

Peephole: Predicting Network Performance Before TrainingDec 09 2017The quest for performant networks has been a significant force that drives the advancements of deep learning in recent years. While rewarding, improving network design has never been an easy journey. The large design space combined with the tremendous ... More

Unconditional convergence of a fast two-level linearized algorithm for semilinear subdiffusion equationsMar 27 2018Apr 06 2018A fast two-level linearized scheme with unequal time-steps is constructed and analyzed for an initial-boundary-value problem of semilinear subdiffusion equations. The two-level fast L1 formula of the Caputo derivative is derived based on the sum-of-exponentials ... More

Yamabe type equations on graphsJul 15 2016Let $G=(V,E)$ be a locally finite graph, $\Omega\subset V$ be a bounded domain, $\Delta$ be the usual graph Laplacian, and $\lambda_1(\Omega)$ be the first eigenvalue of $-\Delta$ with respect to Dirichlet boundary condition. Using the mountain pass theorem ... More

CP-violating asymmetry in $Λ\to pπ$ in the Skyrme modelJan 11 2004We study the CP-violating asymmetry in nonleptonic decay $\Lambda\to p\pi$. By employing the Skyrme model to calculate this decay amplitude contributed by the gluonic diploe operator, we find a possible large CP-violating asymmetry could be expected, ... More

On-chip two-octave supercontinuum generation by enhancing self-steepening of optical pulsesApr 15 2011Dramatic advances in supercontinuum generation have been made recently using photonic crystal fibers, but it is quite challenging to obtain an octave-spanning supercontinuum on a chip, partially because of strong dispersion in high-index-contrast nonlinear ... More

Unusual Electronic excitations in ABA trilayer grapheneMar 28 2018The tight-binding model is closely associated with the modified random-phase approximation to thoroughly explore the electron-electron interactions in trilayer AB-stacked graphene. The intralayer and interlayer atomic/Coulomb interactions dominate the ... More

Configuration-enriched magnetoelectronic spectra of AAB-stacked trilayer grapheneMar 27 2015Apr 01 2015We developed the generalized tight-binding model to study the magneto-electronic properties of AAB-stacked trilayer graphene. Three groups of Landau levels (LLs) are characterized by the dominating subenvelope function on distinct sublattices. Each LL ... More

Correntropy Induced L2 Graph for Robust Subspace ClusteringJan 18 2015In this paper, we study the robust subspace clustering problem, which aims to cluster the given possibly noisy data points into their underlying subspaces. A large pool of previous subspace clustering methods focus on the graph construction by different ... More

Resummation Study on Decay $ρ\toππ$ in $U(2)_L\times U(2)_R$ Chiral Theory of MesonsJan 15 2003We improve $O(p^4)$ calculation in $U(2)_L\times U(2)_R$ chiral theory of mesons by resummation calculation for vector mesons physics and restudy decay $\rho\to\pi\pi$. A complete and compact expression for $f_{\rho\pi\pi}(p^2)$ (up to $O(p^\infty)$) ... More

MMED: A Multi-domain and Multi-modality Event DatasetApr 04 2019In this work, we construct and release a multi-domain and multi-modality event dataset (MMED), containing 25,165 textual news articles collected from hundreds of news media sites (e.g., Yahoo News, Google News, CNN News.) and 76,516 image posts shared ... More

Productions of X(1835) as baryonium with sizable gluon contentNov 15 2005Jun 27 2006The X(1835) has been treated as a baryonium with sizable gluon content, and to be almost flavor singlet. This picture allows us to rationally understand X(1835) production in $J/\psi$ radiative decays, and its large couplings with $p\bar{p}$, $\eta^{\prime}\pi\pi$. ... More

pi K scattering in effective chiral theory of mesonsMar 23 1998In the framework of an effective chiral theory of mesons, pi K scattering is stydied. The scattering lengths, phase shifts, and cross sections are calculated. Theoretical results agree well with data. There is no new parameter in this study.

IRLAS: Inverse Reinforcement Learning for Architecture SearchDec 13 2018Mar 11 2019In this paper, we propose an inverse reinforcement learning method for architecture search (IRLAS), which trains an agent to learn to search network structures that are topologically inspired by human-designed network. Most existing architecture search ... More

Towards Human-Machine Cooperation: Self-supervised Sample Mining for Object DetectionMar 27 2018May 24 2018Though quite challenging, leveraging large-scale unlabeled or partially labeled images in a cost-effective way has increasingly attracted interests for its great importance to computer vision. To tackle this problem, many Active Learning (AL) methods ... More

Integrating Graph Partitioning and Matching for Trajectory Analysis in Video SurveillanceFeb 02 2015In order to track the moving objects in long range against occlusion, interruption, and background clutter, this paper proposes a unified approach for global trajectory analysis. Instead of the traditional frame-by-frame tracking, our method recovers ... More

Mergers in Double-Peaked [O III] Active Galactic NucleiSep 03 2010Mar 21 2011As a natural consequence of galaxy mergers, binary active galactic nuclei (AGNs) should be commonplace. Nevertheless, observational confirmations are rare, especially for binaries with separations less than ten kpc. Such a system may show two sets of ... More