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High Efficiency of Gamma-Ray Bursts RevisitedMar 07 2007Using the conservation of energy and momentum during collisions of any two shells, we consider the efficiency of gamma-ray bursts by assuming that the ejecta from the central engine are equally massive and have the same Lorentz factors. We calculate the ... More

Tail emission from a ring-like jet: its application to shallow decays of early afterglows and to GRB 050709Jan 30 2006Sep 19 2006Similar to the pulsar, the magnetic axis and the spin axis of the gamma-ray burst source may not lie on the same line. This may cause a ring-like jet due to collimation of the precessing magnetic axis. We analyze the tail emission from such a jet, and ... More

Multiscale analysis of re-entrant production lines: An equation-free approachNov 14 2005The computer-assisted modeling of re-entrant production lines, and, in particular, simulation scalability, is attracting a lot of attention due to the importance of such lines in semiconductor manufacturing. Re-entrant flows lead to competition for processing ... More

Comparison of Spearman's rho and Kendall's tau in Normal and Contaminated Normal ModelsNov 09 2010This paper analyzes the performances of the Spearman's rho (SR) and Kendall's tau (KT) with respect to samples drawn from bivariate normal and bivariate contaminated normal populations. The exact analytical formulae of the variance of SR and the covariance ... More

Early Afterglows in Wind Environments RevisitedAug 29 2005When a cold shell sweeps up the ambient medium, a forward shock and a reverse shock will form. We analyze the reverse-forward shocks in a wind environment, including their dynamics and emission. An early afterglow is emitted from the shocked shell, e.g., ... More

Generic Object Detection With Dense Neural Patterns and RegionletsApr 16 2014This paper addresses the challenge of establishing a bridge between deep convolutional neural networks and conventional object detection frameworks for accurate and efficient generic object detection. We introduce Dense Neural Patterns, short for DNPs, ... More

Abelian Decomposition and Glueball-Quarkonium Mixing in QCDJun 08 2016Nov 09 2018The Abelian decomposition of QCD which decomposes the gluons to the color neutral binding gluons (the neurons) and the colored valence gluons (the chromons) gauge independently naturally generalizes the quark model to the quark and chromon model which ... More

A rapid cosmic-ray increase in BC 3372-3371 from ancient buried tree rings in ChinaNov 14 2017Cosmic rays interact with the Earth's atmosphere to produce $^{14}$C, which can be absorbed by trees. Therefore, rapid increases of $^{14}$C in tree rings can be used to probe previous cosmic-ray events. By this method, three $^{14}$C rapidly increasing ... More

Glueball Physics in QCDMar 31 2015The Abelian decomposition of QCD which decomposes the gluons to the color neutral binding gluons and the colored valence gluons shows that QCD can be viewed as the restricted QCD (RCD) made of the binding gluons which has the valence gluons as colored ... More

Role of Hydrogen in the Electronic Properties of CaFeAsH-based SuperconductorsJun 08 2016The electronic and magnetic properties of the new hydride superconductor CaFeAsH, which superconducts up to 47 K when electron-doped with La, and the isovalent alloy system CaFeAsH$_{1-x}$F$_x$ are investigated using density functional based methods. ... More

The fine structure of the entanglement entropy in the classical XY modelJul 06 2015Jul 13 2015We compare two calculations of the particle density in the superfluid phase of the classical XY model with a chemical potential $\mu$ in 1+1 dimensions.The first relies on exact blocking formulas from the Tensor Renormalization Group (TRG) formulation ... More

D-wave superconductivity induced by proximity to the non-uniform chiral spin liquid on a square latticeDec 19 2017Dec 05 2018We use the tensor network algorithm to show evidences of a non-uniform chiral spin-liquid (CSL) ground state in a frustrated spin-1/2 model on a square lattice, in the regime of moat-like band structure of the lattice, i.e., a band with infinitely degenerate ... More

On Finite Time Singularity and Global Regularity of an Axisymmetric Model for the 3D Euler EquationsMar 14 2012Nov 22 2013We investigate the large time behavior of an axisymmetric model for the 3D Euler equations. In \cite{HL09}, Hou and Lei proposed a 3D model for the axisymmetric incompressible Euler and Navier-Stokes equations with swirl. This model shares many properties ... More

Weyl symmetric structure of QCD vacuumApr 26 2012Sep 12 2012We consider Weyl symmetric structure of the classical vacuum in quantum chromodynamics. In the framework of formalism of gauge invariant Abelian projection we show that classical vacuums can be constructed in terms of Killing vector fields on the group ... More

The Fundamental Plane of Spiral Galaxies: Search from Observational DataJul 31 2001Aug 30 2001The fundamental plane of spiral galaxies was searched from observational data, which can be approximately represented in observational parameters by $ L \propto V^2 R $, where $L$, $R$, and $V$ are the luminosity, the linear size of galactic disk, and ... More

Artificial Gauge Field and Quantum Spin Hall States in a Conventional Two-dimensional Electron GasFeb 08 2015Apr 24 2015Based on the Born-Oppemheimer approximation, we divide total electron Hamiltonian in a spinorbit coupled system into slow orbital motion and fast interband transition process. We find that the fast motion induces a gauge field on slow orbital motion, ... More

What happens if measure the electron spin twice?Feb 21 2018The mainstream textbooks of quantum mechanics explains the quantum state collapses into an eigenstate in the measurement, while other explanations such as hidden variables and multi-universe deny the collapsing. Here we propose an ideal thinking experiment ... More

Comparison of Improved Perturbative MethodsJan 27 2012In many cases of interest, the perturbative series based on conventional Feynman diagrams have a zero radius of convergence. Series with a finite radius of convergence can be obtained by either introducing a large field cutoff or by replacing the exponential ... More

Impurity scattering and Friedel oscillations in mono-layer black phosphorusMar 15 2016Mar 17 2016We study the effect of impurity scattering effect in black phosphorurene (BP) in this work. For single impurity, we calculate impurity induced local density of states (LDOS) in momentum space numerically based on tight-binding Hamiltonian. In real space, ... More

Giant exchange bias and ferromagnetism in the CoO shell of Co/CoO-MgO core-shell nanoparticlesOct 09 2012Using magnetron sputtering, we produced a series of Co/CoO-MgO nanoparticles on Si(100) substrates. High-resolution transmission electron microscopy (HRTEM) image shows that small isolated Co-clusters (core) covered with CoO (shells) with a size of a ... More

Final State Interactions in $D^0 \to K^0 \bar{K^0}$Feb 28 1999It is believed that the production rate of $D^0\to K^0\bar K^0$ is almost solely determined by final state interactions (FSI) and hence provides an ideal place to test FSI models. Here we examine model calculations of the contributions from s-channel ... More

Complex RG flows for 2D nonlinear O(N) sigma modelsJan 06 2011Mar 25 2011Motivated by recent attempts to find nontrivial infrared fixed points in 4-dimensional lattice gauge theories, we discuss the extension of the renormalization group (RG) transformations to complex coupling spaces for O(N) models on LxL lattices, in the ... More

Laser-induced Phase-change Perovskite Photodetector Arrays for Optical Information Storage and ImagingDec 09 2018The reversible phase transition between orthorhombic and cubic phases is demonstrated in all-inorganic perovskite CsPbIBr2 grown by a dual-source vapor-deposition method. The phase transition is actuated via heating and moisture exposure. The different ... More

Exact blocking formulas for spin and gauge modelsJul 24 2013Using the example of the two-dimensional (2D) Ising model, we show that in contrast to what can be done in configuration space, the tensor renormalization group (TRG) formulation allows one to write exact, compact, and manifestly local blocking formulas ... More

Controlling sign problems in spin models using tensor renormalizationSep 25 2013We consider the sign problem for classical spin models at complex $\beta =1/g_0^2$ on $L\times L$ lattices. We show that the tensor renormalization group method allows reliable calculations for larger Im$\beta$ than the reweighting Monte Carlo method. ... More

A Sublinear Algorithm of Sparse Fourier Transform for Nonequispaced DataFeb 16 2005We present a sublinear randomized algorithm to compute a sparse Fourier transform for nonequispaced data. Suppose a signal S is known to consist of N equispaced samples, of which only L<N are available. If the ratio p=L/N is not close to 1, the available ... More

On the Morse--Novikov Cohomology of blowing up complex manifoldsJul 31 2019Inspired by the recent works of S. Rao--S. Yang--X.-D. Yang and L. Meng on the blow-up formulae for de Rham and Morse--Novikov cohomology groups, we give a new simple proof of the blow-up formula for Morse--Novikov cohomology by introducing the relative ... More

Investigation of M1 transitions of the ground-state configuration of In-like TungstenMar 16 2015Apr 14 2016Three visible lines of M1 transitions from In-like W were recorded using the Shanghai permanent magnet electron beam ion trap. The experimental wavelengths were measured as 493.84 $\pm$ 0.15, 226.97 $\pm$ 0.13 and 587.63 $\pm$ 0.23 nm (vacuum wavelengths). ... More

Measurement of the Casimir force between a gold sphere and silicon surface with nanoscale trench arraysMay 24 2008We report measurements of the Casimir force between a gold sphere and a silicon surface with an array of nanoscale, rectangular corrugations using a micromechanical torsional oscillator. At distance between 150 nm and 500 nm, the measured force shows ... More

Growing the Digital Repository of Mathematical Formulae with Generic LaTeX SourcesMay 06 2015May 11 2015One initial goal for the DRMF is to seed our digital compendium with fundamental orthogonal polynomial formulae. We had used the data from the NIST Digital Library of Mathematical Functions (DLMF) as initial seed for our DRMF project. The DLMF input LaTeX ... More

Quantum criticality of the Ising-like screw chain antiferromagnet SrCo2V2O8 in a transverse magnetic fieldApr 25 2019The quantum criticality of an Ising-like screw chain antiferromagnet SrCo$_2$V$_2$O$_8$, with a transverse magnetic field applied along the crystalline $a$-axis, is investigated by ultra-low temperature NMR measurements. The N\'{e}el temperature is rapidly ... More

Unusual ferromagnetic critical behavior owing to short-range antiferromagnetic correlations in antiperovskite Cu1-xNMn3+x(0.1<x<0.4)Mar 04 2015For ferromagnets, varying from simple metals to strongly correlated oxides,the critical behaviors near the Curie temperature (TC) can be grouped into several universal classes. In this paper, we report an unusual critical behavior in manganese nitrides ... More

Tensor renormalization group study of classical XY model on the square latticeSep 19 2013Using the tensor renormalization group method based on the higher-order singular value decom- position, we have studied the thermodynamic properties of the continuous XY model on the square lattice. The temperature dependence of the free energy, the internal ... More

Quantum criticality of the Ising-like screw chain antiferromagnet SrCo2V2O8 in a transverse magnetic fieldApr 25 2019Aug 10 2019The quantum criticality of an Ising-like screw chain antiferromagnet SrCo$_2$V$_2$O$_8$, with a transverse magnetic field applied along the crystalline $a$-axis, is investigated by ultra-low temperature NMR measurements. The N\'{e}el temperature is rapidly ... More

Observation of indirect ionization of W7+ in an electron-beam ion-trap plasmaMay 15 2019In this work, visible and extreme ultraviolet spectra of W7+ are measured using the high-temperature superconducting electron-beam ion trap (EBIT) at the Shanghai EBIT Laboratory under extremely low-energy conditions (lower than the nominal electron-beam ... More

Progress towards quantum simulating the classical O(2) modelMar 20 2014Nov 25 2014We connect explicitly the classical $O(2)$ model in 1+1 dimensions, a model sharing important features with $U(1)$ lattice gauge theory, to physical models potentially implementable on optical lattices and evolving at physical time. Using the tensor renormalization ... More

Tunable negative thermal expansion related with the gradual evolution of antiferromagnetic ordering in antiperovskite manganese nitrides Ag1-xNMn3+x (0<x<0.6)Mar 04 2015The thermal expansion and magnetic properties of antiperovskite manganese nitrides Ag1-xNMn3+x were reported. The substitution of Mn for Ag effectively broadens the temperature range of negative thermal expansion and drives it to cryogenic temperatures. ... More

Precise peculiar velocities from gravitational waves accompanied by electromagnetic signals and cosmological applicationsOct 17 2017Aug 26 2018Peculiar velocities are a precious tool to study the large-scale distribution of matter in the local universe and test cosmological models. However, present measurements of peculiar velocities are based on empirical distance indicators, which introduce ... More

Heisenberg limited single-mode quantum metrologyJan 28 2019Two-mode interferometers, such as Michelson interferometer based on two spatial optical modes, lay the foundations for quantum metrology. Instead of exploring quantum entanglement in the two-mode interferometers, a single bosonic mode also promises a ... More

Spin dynamics, electronic and thermal transport properties of two-dimensional CrPS4 single crystalFeb 26 20162-Dimensional (2D) CrPS4 single crystals have been grown by the chemical vapor transport method. The crystallographic, magnetic, electronic and thermal transport properties of the single crystals were investigated by the room-temperature X-ray diffraction, ... More

Volume Effects in Discrete beta functionsDec 14 2011We calculate discrete beta functions corresponding to the two-lattice matching for the 2D O(N) models and Dyson's hierarchical model. We describe and explain finite-size effects such as the appearance of a nontrivial infrared fixed point that goes to ... More

Distributed Training Large-Scale Deep ArchitecturesAug 10 2017Scale of data and scale of computation infrastructures together enable the current deep learning renaissance. However, training large-scale deep architectures demands both algorithmic improvement and careful system configuration. In this paper, we focus ... More

Mechanism of unidirectional emission of ultrahigh Q Whispering Gallery mode in microcavitiesAug 25 2009The mechanism of unidirectional emission of high Q Whispering Gallery mode in deformed circular micro- cavities is studied and firstly presented in this paper. In phase space, light in the chaotic sea leaks out the cavity through the refraction regions, ... More

Casimir forces on a silicon micromechanical chipJul 26 2012May 17 2013Quantum fluctuations give rise to van der Waals and Casimir forces that dominate the interaction between electrically neutral objects at sub-micron separations. Under the trend of miniaturization, such quantum electrodynamical effects are expected to ... More

Electronic structure in one-Fe Brillouin zone of iron-pnictide superconductor CsFe$_2$As$_2$Sep 08 2014Sep 09 2014The multiband nature of iron-pnictide superconductors is one of the keys to the understanding of their intriguing behavior. The electronic and magnetic properties heavily rely on the multiband interactions between different electron and hole pockets near ... More

Plasmon modes of silver nanowire on a silica substrateSep 17 2010Plasmon mode in a silver nanowire is theoretically studied when the nanowire is placed on or near a silica substrate. It is found that the substrate has much influence on the plasmon mode. For the nanowire on the substrate, the plasmon (hybrid) mode possesses ... More

Hedging of covered options with linear market impact and gamma constraintDec 22 2015Within a financial model with linear price impact, we study the problem of hedging a covered European option under gamma constraint. Using stochastic target and partial differential equation smoothing techniques, we prove that the super-replication price ... More

Transport and Thermodynamic Evidence for a Marginal Fermi Liquid State in ZrZn$_2$Oct 24 2011Measurements of low temperature transport and thermodynamic properties have been used to characterize the non-Fermi liquid state of the itinerant ferromagnet ZrZn$_2$. We observe a $T^{5/3}$ temperature dependence of the electrical resistivity at zero ... More

Atomically-thin micas as proton conducting membranesJun 11 2019Monolayers of graphene and hexagonal boron nitride (hBN) are highly permeable to thermal protons. For thicker two-dimensional (2D) materials, proton conductivity diminishes exponentially so that, for example, monolayer MoS2 that is just three atoms thick ... More

Almost-sure hedging with permanent price impactMar 18 2015We consider a financial model with permanent price impact. Continuous time trading dynamics are derived as the limit of discrete rebalancing policies. We then study the problem of super-hedging a European option. Our main result is the derivation of a ... More

Clues from the prompt emission of GRB 080319BDec 01 2008Dec 05 2008The extremely bright optical flash that accompanied GRB 080319B suggested, at first glance, that the prompt $\gamma$-rays in this burst were produced by Synchrotron self Compton (SSC). We analyze here the observed optical and $\gamma$ spectrum. We find ... More

On a problem of countable expansionsMar 25 2015Aug 01 2015For a real number $q\in(1,2)$ and $x\in[0,1/(q-1)]$, the infinite sequence $(d_i)$ is called a \emph{$q$-expansion} of $x$ if $$ x=\sum_{i=1}^\infty\frac{d_i}{q^i},\quad d_i\in\{0,1\}\quad\textrm{for all}~ i\ge 1. $$ For $m=1, 2, \cdots$ or $\aleph_0$ ... More

Rejoinder: One-step sparse estimates in nonconcave penalized likelihood modelsAug 07 2008We would like to take this opportunity to thank the discussants for their thoughtful comments and encouragements on our work [arXiv:0808.1012]. The discussants raised a number of issues from theoretical as well as computational perspectives. Our rejoinder ... More

3-manifolding admitting locally large distance 2 Heegaard splittingsSep 17 2015Oct 26 2015From the view of Heegaard splitting, it is known that if a closed orientable 3-manifold admits a distance at least three Heegaard splitting, then it is hyperbolic. However, for a closed orientable 3-manifold admitting only distance at most two Heegaard ... More

Silhouette Guided Point Cloud Reconstruction beyond OcclusionJul 29 2019One major challenge in 3D reconstruction is to infer the complete shape geometry from partial foreground occlusions. In this paper, we propose a method to reconstruct the complete 3D shape of an object from a single RGB image, with robustness to occlusion. ... More

A quick estimation of luminosity function based on the luminosity-distance diagramJan 12 2017Based on the luminosity-distance diagram, we propose a method to quickly estimate the luminosity function for any certain astrophysical objects. Giving the mean distance between any two objects at a given luminosity range, we can find the relation between ... More

Representing Boolean Functions Using Polynomials: More Can Offer LessJul 02 2013Polynomial threshold gates are basic processing units of an artificial neural network. When the input vectors are binary vectors, these gates correspond to Boolean functions and can be analyzed via their polynomial representations. In practical applications, ... More

Time-Reversal Routing for Dispersion Code Multiple Access (DCMA) CommunicationsSep 23 2017We present the modeling and characterization of a time-reversal routing dispersion code multiple access (TR-DCMA) system. We show that this system maintains the low complexity advantage of DCMA transceivers while offering dynamic adaptivity for practial ... More

Invariants and orthogonal $q$-polynomials associated with $\Bbb{C}_{q}(osp(1,2))$Aug 28 2006The spaces of invariants and the zonal spherical functions associated with quantum super 2-shpheres defined by $\Bbb{C}_{q}(osp(1,2))$ are discussed. Connection between the zonal spherical functions and orthogonal $q$-polynomials from the Askey-Wilson ... More

Existence, nonexistence, symmetry and uniqueness of ground state for critical Schrödinger system involving Hardy termAug 03 2016We study the following elliptic system with critical exponent: \begin{displaymath} \begin{cases}-\Delta u_j-\frac{\lambda_j}{|x|^2}u_j=u_j^{2^*-1}+\sum\limits_{k\neq j}\beta_{jk}\alpha_{jk}u_j^{\alpha_{jk}-1}u_k^{\alpha_{kj}},\;\;x\in\R^N, u_j\in D^{1,2}(\R^N),\quad ... More

Encoding Robust Representation for Graph GenerationSep 28 2018Jan 15 2019Generative networks have made it possible to generate meaningful signals such as images and texts from simple noise. Recently, generative methods based on GAN and VAE were developed for graphs and graph signals. However, the mathematical properties of ... More

Graph Convolutional Neural Networks via ScatteringMar 31 2018Nov 18 2018We generalize the scattering transform to graphs and consequently construct a convolutional neural network on graphs. We show that under certain conditions, any feature generated by such a network is approximately invariant to permutations and stable ... More

Vast volatility matrix estimation for high-frequency financial dataFeb 25 2010High-frequency data observed on the prices of financial assets are commonly modeled by diffusion processes with micro-structure noise, and realized volatility-based methods are often used to estimate integrated volatility. For problems involving a large ... More

Randomized Algorithms for Large-scale Inverse Problems with General RegularizationsDec 29 2014We shall investigate randomized algorithms for solving large-scale linear inverse problems with general regularizations. We first present some techniques to transform inverse problems of general form into the ones of standard form, then apply randomized ... More

A New Cyclic Gradient Method Adapted to Large-Scale Linear SystemsJul 02 2019This paper proposes a new gradient method to solve the large-scale problems. Theoretical analysis shows that the new method has finite termination property for two dimensions and converges R-linearly for any dimensions. Experimental results illustrate ... More

On Lipschitz Analysis and Lipschitz Synthesis for the Phase Retrieval ProblemJun 06 2015In this paper we prove two results regarding reconstruction from magnitudes of frame coefficients (the so called "phase retrieval problem"). First we show that phase retrievability as an algebraic property implies that nonlinear maps are bi-Lipschitz ... More

Hierarchical Meta LearningApr 19 2019Meta learning is a promising solution to few-shot learning problems. However, existing meta learning methods are restricted to the scenarios where training and application tasks share the same out-put structure. To obtain a meta model applicable to the ... More

HPSLPred: An Ensemble Multi-label Classifier for Human Protein Subcellular Location Prediction with Imbalanced SourceApr 18 2017Predicting the subcellular localization of proteins is an important and challenging problem. Traditional experimental approaches are often expensive and time-consuming. Consequently, a growing number of research efforts employ a series of machine learning ... More

One-step sparse estimates in nonconcave penalized likelihood modelsAug 07 2008Fan and Li propose a family of variable selection methods via penalized likelihood using concave penalty functions. The nonconcave penalized likelihood estimators enjoy the oracle properties, but maximizing the penalized likelihood function is computationally ... More

Asymptotic order of the geometric mean error for self-affine measures on Bedford-McMullen carpetsFeb 28 2019Jun 09 2019Let $E$ be a Bedford-McMullen carpet associated with a set of affine mappings $\{f_{ij}\}_{(i,j)\in G}$ and let $\mu$ be the self-affine measure associated with $\{f_{ij}\}_{(i,j)\in G}$ and a probability vector $(p_{ij})_{(i,j)\in G}$. We study the asymptotics ... More

GPU Accelerated Contactless Human Machine Interface for Driving CarJul 09 2019In this paper we present an original contactless human machine interface for driving car. The proposed framework is based on the image sent by a simple camera device, which is then processed by various computer vision algorithms. These algorithms allow ... More

Emergence of conformal symmetry in quantum spin chains: anti-periodic boundary conditions and supersymmetryJul 24 2019Universal properties of a critical quantum spin chain are encoded in the underlying conformal field theory (CFT). This underlying CFT is fully characterized by its conformal data. We propose a method to extract the conformal data from a critical quantum ... More

Inferring Gene Regulatory Network Using An Evolutionary Multi-Objective MethodDec 16 2015Inference of gene regulatory networks (GRNs) based on experimental data is a challenging task in bioinformatics. In this paper, we present a bi-objective minimization model (BoMM) for inference of GRNs, where one objective is the fitting error of derivatives, ... More

Structural Phase Transition at High Temperatures in Solid Molecular Hydrogen and DeuteriumApr 12 2001We study the effect of temperature up to 1000K on the structure of dense molecular para-hydrogen and ortho-deuterium, using the path-integral Monte Carlo method. We find a structural phase transition from orientationally disordered hexagonal close packed ... More

Long-term X-ray emission from Swift J1644+57Jul 10 2013The X-ray emission from Swift J1644+57 is not steadily decreasing instead it shows multiple pulses with declining amplitudes. We model the pulses as reverse shocks from collisions between the late ejected shells and the externally shocked material, which ... More

EDA: Easy Data Augmentation Techniques for Boosting Performance on Text Classification TasksJan 31 2019We present EDA: easy data augmentation techniques for boosting performance on text classification tasks. EDA consists of four simple but powerful operations: synonym replacement, random insertion, random swap, and random deletion. On five text classification ... More

Push-pull direct modeling of solid CAD modelsNov 05 2018Direct modeling is a very recent CAD modeling paradigm featuring direct, intuitive push-pull interactions with the geometry of the model to much increase model editing flexibility. The major issue for push-pull direct modeling is the possible inconsistency ... More

Quantum Mechanical Ground State of Hydrogen Obtained from Classical ElectrodynamicsJul 22 2003The behavior of a classical charged point particle under the influence of only a Coulombic binding potential and classical electromagnetic zero-point radiation, is shown to yield agreement with the probability density distribution of Schroedinger's wave ... More

Orthogonal abelian Cartan subalgebra decomposition of $\mathfrak{sl}_n$ over a finite commutative ringFeb 07 2018Orthogonal decomposition of the special linear Lie algebra over the complex numbers was studied in the early 1980s and attracted further attentions in the past decade due to its application in quantum information theory. In this paper, we study this decomposition ... More

Hypercomplex Signal Energy Concentration in the Spatial and Quaternionic Linear Canonical Frequency DomainsSep 04 2016Quaternionic Linear Canonical Transforms (QLCTs) are a family of integral transforms, which generalized the quaternionic Fourier transform and quaternionic fractional Fourier transform. In this paper, we extend the energy concentration problem for 2D ... More

Linear Transformations and Restricted Isometry PropertyJan 05 2009The Restricted Isometry Property (RIP) introduced by Cand\'es and Tao is a fundamental property in compressed sensing theory. It says that if a sampling matrix satisfies the RIP of certain order proportional to the sparsity of the signal, then the original ... More

On the adaptive elastic-net with a diverging number of parametersAug 13 2009We consider the problem of model selection and estimation in situations where the number of parameters diverges with the sample size. When the dimension is high, an ideal method should have the oracle property [J. Amer. Statist. Assoc. 96 (2001) 1348--1360] ... More

Robust Signal Reconstruction Using the Prolate Spherical Wave Functions and Maximum Correntropy CriterionJun 28 2016Signal Reconstruction is one of the most important problem in signal processing. This paper proposes a novel signal reconstruction method based on the prolate spherical wave functions (PSWFs) and maximum correntropy criterion (MCC). The PSWFs are a kind ... More

Spherical functions on homogeneous superspacesAug 28 2006Feb 03 2009Homogeneous superspaces arising from the general linear supergroup are studied within a Hopf algebraic framework. Spherical functions on homogeneous superspaces are introduced, and the structures of the superalgebras of the spherical functions on classes ... More

Facial Expression Classification Using Rotation Slepian-based Moment InvariantsJun 28 2016Rotation moment invariants have been of great interest in image processing and pattern recognition. This paper presents a novel kind of rotation moment invariants based on the Slepian functions, which were originally introduced in the method of separation ... More

Crowdsourcing Feature Discovery via Adaptively Chosen ComparisonsMar 31 2015We introduce an unsupervised approach to efficiently discover the underlying features in a data set via crowdsourcing. Our queries ask crowd members to articulate a feature common to two out of three displayed examples. In addition we also ask the crowd ... More

The Tidal Tails of Globular Cluster Palomar 5 Based on Neural Networks MethodMay 22 2009Jul 02 2010The Sixth Data Release (DR6) in the Sloan Digital Sky Survey (SDSS) provides more photometric regions, new features and more accurate data around globular cluster Palomar 5. A new method, Back Propagation Neural Network (BPNN), is used to estimate the ... More

Electric-field controlled superconductor-ferromagnetic insulator transitionAug 18 2018How to control collectively ordered electronic states is a core interest of condensed matter physics. We report an electric field controlled reversible transition from superconductor to ferromagnetic insulator in (Li,Fe)OHFeSe thin flake using solid ion ... More

Quantum Critical Dynamics of a Heisenberg-Ising Chain in a Longitudinal Field: Many-Body Strings versus Fractional ExcitationsMar 13 2019We report a high-resolution terahertz spectroscopic study of quantum spin dynamics in the antiferromagnetic Heisenberg-Ising spin-chain compound BaCo$_2$V$_2$O$_8$ as a function of temperature and longitudinal magnetic field. Confined spinon excitations ... More

Constraining the bulk Lorentz factor from the photosphere emissionJan 25 2015We propose a direct and model-independent method to constrain the Lorentz factor of a relativistically expanding object, like gamma-ray bursts. Only the measurements, such as thermal component of the emission, the distance and the variable time scale ... More

Rates for the reactions antiproton-proton --> pi phi and gamma phiNov 23 1993We study antiproton-proton annihilation at rest into $\pi\phi$ and $\gamma\phi$. Rescattering by $\overline{K^*}K+K^*\overline{K}$ and $\rho^{+}\rho^{-}$ for $\overline{p}p\rightarrow\pi\phi$ states is sizable, of order $(0.90\, {\rm to}\,2.6)\times 10^{-4}$ ... More

A Polynomially Irreducible Functional Basis of Hemitropic Invariants of Piezoelectric TensorsJan 07 2019For piezoelectric tensors, Olive (2014) proposed a minimal integrity basis of 495 hemitropic invariants, which is also a functional basis. In this article, we construct a new functional basis of hemitropic invariants of piezoelectric tensors, using the ... More

Estimation of the detectability of optical orphan afterglowsJan 13 2006Sep 19 2006By neglecting sideways expansion of gamma-ray burst (GRB) jets and assuming their half-opening angle distribution, we estimate the detectability of orphan optical afterglows. This estimation is carried out by calculating the durations of off-axis optical ... More

Mechanism Design for Time Critical and Cost Critical Task Execution via CrowdsourcingAug 08 2012An exciting application of crowdsourcing is to use social networks in complex task execution. In this paper, we address the problem of a planner who needs to incentivize agents within a network in order to seek their help in executing an {\em atomic task} ... More

Re-interpretation of Skyrme Theory: New Topological structuresApr 20 2017Recently it has been pointed out that the skyrmions carry two independent topology, the baryon topology and the monopole topology. We provide more evidence to support this. In specific, we prove that the baryon number $B$ can be decomposed to the monopole ... More

Three-Dimensional Fermi-Surface and Electron-Phonon Coupling in Semimetallic 1T-TiTe2 studied by Angle-Resolved Photoemission SpectroscopyAug 31 2018We present an investigation on electronic structure of 1T-TiTe2 material via high-resolution angle-resolved photoemission spectroscopy (ARPES), utilizing tunable photon energy excitations. The typical semimetal-like electronic structure is observed and ... More

Parton Distribution of Proton in a Simple Statistical ModelJun 24 2001Mar 02 2002This paper has been withdrawn by the authors. due fail of replacement of the paper. new version is hep-ph/0201214.

Electronic States and Magnetism of Mn Impurities and Dimers in Narrow-Gap and Wide-Gap III-V SemiconductorsNov 24 2004Electronic states and magnetic properties of single $Mn$ impurity and dimer doped in narrow-gap and wide-gap $III$-$V$ semiconductors have been studied systematically. It has been found that in the ground state for single $Mn$ impurity, $Mn$-$As(N)$ complex ... More

Fisher's zeros as boundary of renormalization group flows in complex coupling spacesMay 12 2010We propose new methods to extend the renormalization group transformation to complex coupling spaces. We argue that the Fisher's zeros are located at the boundary of the complex basin of attraction of infra-red fixed points. We support this picture with ... More

Is GRB 050904 a super-long burst?Nov 08 2005Mar 07 2007By considering synchrotron radiative process in the internal shock model and assuming that all internal shocks are nearly equally energetic, we analyze the gamma-ray burst (GRB) emission at different radii corresponding to different observed times. We ... More