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Cotorsion pairs and t-structures in a $2-$Calabi-Yau triangulated categoryOct 24 2012Oct 26 2012For a Calabi-Yau triangulated category $\mathcal{C}$ of Calabi-Yau dimension $d$ with a $d-$cluster tilting subcategory $\mathcal{T}$, it is proved that the decomposition of $\mathcal{C}$ is determined by the special decomposition of $\mathcal{T}$, namely, ... More

Mutation of torsion pairs in triangulated categories and its geometric realizationMay 18 2011Jun 30 2017We introduce and study mutation of torsion pairs, as a generalization of mutation of cluster tilting objects, rigid objects and maximal rigid objects. It is proved that any mutation of a torsion pair is again a torsion pair. A geometric realization of ... More

Lasso-type recovery of sparse representations for high-dimensional dataJun 01 2008Mar 02 2009The Lasso is an attractive technique for regularization and variable selection for high-dimensional data, where the number of predictor variables $p_n$ is potentially much larger than the number of samples $n$. However, it was recently discovered that ... More

Formulas for Counting the Sizes of Markov Equivalence Classes of Directed Acyclic GraphsOct 23 2016The sizes of Markov equivalence classes of directed acyclic graphs play important roles in measuring the uncertainty and complexity in causal learning. A Markov equivalence class can be represented by an essential graph and its undirected subgraphs determine ... More

Possible Detection of Subsecond-period Propagating Magnetohydrodynamics Waves in Post-reconnection Magnetic Loops during a Two-ribbon Solar FlareJan 16 2019Feb 04 2019Solar flares involve the sudden release of magnetic energy in the solar corona. Accelerated nonthermal electrons have often been invoked as the primary means for transporting the bulk of the released energy to the lower solar atmosphere. However, significant ... More

Cluster algebras arising from cluster tubesAug 20 2010Nov 29 2013We study the cluster algebras arising from cluster tubes with rank bigger than $1$. Cluster tubes are $2-$Calabi-Yau triangulated categories which contain no cluster tilting objects, but maximal rigid objects. Fix a certain maximal rigid object $T$ in ... More

Number of paths versus number of basis functions in American option pricingMar 24 2005An American option grants the holder the right to select the time at which to exercise the option, so pricing an American option entails solving an optimal stopping problem. Difficulties in applying standard numerical methods to complex pricing problems ... More

Genus two Smale-Williams solenoids in 3-manifoldsOct 16 2006Aug 04 2009Using alternating Heegaard diagrams, we construct some 3-manifolds which admit diffeomorphisms such that the non-wandering sets of the diffeomorphisms are composed of Smale-Williams solenoid attractors and repellers, an interesting example is the truncated-cube ... More

Estimation Stability with Cross Validation (ESCV)Mar 13 2013Oct 27 2015Cross-validation (CV) is often used to select the regularization parameter in high dimensional problems. However, when applied to the sparse modeling method Lasso, CV leads to models that are unstable in high-dimensions, and consequently not suited for ... More

Cluster combinatorics of d-cluster categoriesDec 10 2007Feb 14 2009We study the cluster combinatorics of $d-$cluster tilting objects in $d-$cluster categories. By using mutations of maximal rigid objects in $d-$cluster categories which are defined similarly for $d-$cluster tilting objects, we prove the equivalences between ... More

One way to Characterize the compact structures of lattice protein modelSep 03 2000On the study of protein folding, our understanding about the protein structures is limited. In this paper we find one way to characterize the compact structures of lattice protein model. A quantity called Partnum is given to each compact structure. The ... More

A time series model of CDS sequences in complete genomeJun 30 2000A time series model of CDS sequences in complete genome is proposed. A map of DNA sequence to integer sequence is given. The correlation dimensions and Hurst exponents of CDS sequences in complete genome of bacteria are calculated. Using the average of ... More

Adaptive Feeding: Achieving Fast and Accurate Detections by Adaptively Combining Object DetectorsJul 20 2017Object detection aims at high speed and accuracy simultaneously. However, fast models are usually less accurate, while accurate models cannot satisfy our need for speed. A fast model can be 10 times faster but 50\% less accurate than an accurate model. ... More

Sunrise or Sunset: Selective Comparison Learning for Subtle Attribute RecognitionJul 20 2017The difficulty of image recognition has gradually increased from general category recognition to fine-grained recognition and to the recognition of some subtle attributes such as temperature and geolocation. In this paper, we try to focus on the classification ... More

An objective-adaptive refinement criterion based on modified ridge extraction method for finite-time Lyapunov exponent (FTLE) calculationNov 13 2018High-accuracy and high-efficiency finite-time Lyapunov exponent (FTLE) calculation method has long been a research hot point, and adaptive refinement method is a kind of method in this field. The proposed objective-adaptive refinement (OAR) criterion ... More

Second Repeating FRB 180814.J0422+73: Ten-year Fermi-LAT Upper limits and ImplicationsMar 18 2019Mar 19 2019The second repeating fast radio burst source, FRB 180814.J0422+73, was detected recently by the CHIME collaboration. We use the ten-year Fermi Large Area Telescope (LAT) archival data to place a flux upper limit in the energy range of 100 MeV$-$10 GeV ... More

The Fourth Generation Quark and the 750 GeV Diphoton ExcessJan 05 2016Recently, the CMS and ATLAS collaborations have reported a diphoton peak at 750 GeV in the RunII of LHC at 13 TeV. We assume that the heavy fourth generation quark doublet $z,~y$ with $380 $GeV mass, and the width of $z,t$ is much less $b$ quark. Then ... More

A path following algorithm for Sparse Pseudo-Likelihood Inverse Covariance Estimation (SPLICE)Jul 23 2008Given n observations of a p-dimensional random vector, the covariance matrix and its inverse (precision matrix) are needed in a wide range of applications. Sample covariance (e.g. its eigenstructure) can misbehave when p is comparable to the sample size ... More

The Power of Waiting for More than One Response in Minimizing the Age-of-InformationApr 17 2017Aug 18 2017The Age-of-Information (AoI) has recently been proposed as an important metric for investigating the timeliness performance in information-update systems. Prior studies on AoI optimization often consider a Push model, which is concerned about when and ... More

Error Rate Bounds in Crowdsourcing ModelsJul 10 2013Crowdsourcing is an effective tool for human-powered computation on many tasks challenging for computers. In this paper, we provide finite-sample exponential bounds on the error rate (in probability and in expectation) of hyperplane binary labeling rules ... More

Randomized Algorithms For High Quality Treatment Planning in Volumetric Modulated Arc TherapyDec 07 2015Jan 05 2016In recent years, volumetric modulated arc therapy (VMAT) has been becoming a more and more important radiation technique widely used in clinical application for cancer treatment. One of the key problems in VMAT is treatment plan optimization, which is ... More

Isolated singularities of conformal hyperbolic metricsNov 03 2017Sep 11 2018J. Nitsche proved that an isolated singularity of a conformal hyperbolic metric is either a conical singularity or a cusp one. We prove by developing map that there exists a complex coordinate $z$ centered at the singularity where the metric has the expression ... More

Isomorphisms between quantum groups $U_q(\mathfrak{sl}_{n+1})$ and $U_p(\mathfrak{sl}_{n+1})$Jan 01 2010Feb 22 2012Let $\mathbb K$ be a field and suppose $p, q\in\mathbb K^*$ are not roots of unity. We prove that the two quantum groups $U_q(\mathfrak {sl}_{n+1})$ and $U_p(\mathfrak{sl}_{n+1})$ are isomorphic as $\mathbb K$-algebras implies that $p=\pm q^{\pm 1}$ when ... More

Isomorphisms and automorphisms of quantum groupsOct 09 2009Feb 22 2012We consider isomorphisms and automorphisms of quantum groups. Let $k$ be a field and suppose $p, q\in k^*$ are not roots of unity. We prove that the two quantum groups $U_q(\mathfrak {sl}_2)$ and $U_p(\mathfrak{sl}_2)$ over a field $k$ are isomorphic ... More

Brane worlds in gravity with auxiliary fieldsMay 01 2014Mar 11 2015Recently, Pani, Sotiriou, and Vernieri explored a new theory of gravity by adding nondynamical fields, i.e., gravity with auxiliary fields [Phys. Rev. D 88, 121502(R) (2013)]. In this gravity theory, higher-order derivatives of matter fields generically ... More

Data spectroscopy: Eigenspaces of convolution operators and clusteringJul 23 2008Nov 20 2009This paper focuses on obtaining clustering information about a distribution from its i.i.d. samples. We develop theoretical results to understand and use clustering information contained in the eigenvectors of data adjacency matrices based on a radial ... More

Asymptotic distribution and sparsistency for l1-penalized parametric M-estimators with applications to linear SVM and logistic regressionAug 13 2009Since its early use in least squares regression problems, the l1-penalization framework for variable selection has been employed in conjunction with a wide range of loss functions encompassing regression, classification and survival analysis. While a ... More

A nonlinear PDE-based method for sparse deconvolutionApr 01 2011In this paper, we introduce a new nonlinear evolution partial differential equation for sparse deconvolution problems. The proposed PDE has the form of continuity equation that arises in various research areas, e.g. fluid dynamics and optimal transportation, ... More

Cotorsion pairs in cluster categories of type $A_{\infty}^{\infty}$Apr 13 2017May 29 2017In this paper, we give a complete classification of cotorsion pairs in a cluster category $\mathscr{C}$ of type $A^\infty_\infty$ via certain configurations of arcs, called $\tau$-compact Ptolemy diagrams, in an infinite strip with marked points. As applications, ... More

Efficient Aerosol Retrieval for Multi-angle Imaging SpectroRadiometer (MISR): A Bayesian ApproachAug 06 2017Recent research in Aerosol Optical Depth (AOD) retrieval algorithms for Multi-angle Imaging SpectroRadiometer (MISR) proposed a hierarchical Bayesian model. However the inference algorithm used in their work was Markov Chain Monte Carlo (MCMC), which ... More

Bayesian models to adjust for response bias in survey data for estimating rape and domestic violence rates from the NCVSJan 22 2008Jul 28 2008It is difficult to accurately estimate the rates of rape and domestic violence due to the sensitive nature of these crimes. There is evidence that bias in estimating the crime rates from survey data may arise because some women respondents are "gagged" ... More

Effective Mass of Composite Fermions and Fermionic Chern-Simons Theory in Temporal GaugeSep 08 1997Sep 18 1997The definitions of the effective mass of the composite fermion are discussed for the half-filled Landau level problem. In a recent work, Shankar and Murthy show a finite effective mass of the composite fermion by a canonical transformation while the perturbative ... More

The composite absolute penalties family for grouped and hierarchical variable selectionSep 02 2009Extracting useful information from high-dimensional data is an important focus of today's statistical research and practice. Penalized loss function minimization has been shown to be effective for this task both theoretically and empirically. With the ... More

Asymptotic theory for the semiparametric accelerated failure time model with missing dataAug 21 2009We consider a class of doubly weighted rank-based estimating methods for the transformation (or accelerated failure time) model with missing data as arise, for example, in case-cohort studies. The weights considered may not be predictable as required ... More

Temperature-dependent Casimir-Polder forces on polarizable moleculesNov 03 2012Nov 19 2012We demonstrate that the thermal Casimir-Polder forces on molecules near a conducting surface whose transition wavelengths are comparable to the molecule-surface separation are dependent on the ambient temperature and molecular polarization and they can ... More

Exclusive $eta_b$ decay to double $J/ψ$ at next-to-leading order in $alpha_s$Aug 07 2008Oct 09 2008Within the nonrelativistic QCD (NRQCD) factorization framework, we calculate the exclusive decay process \eta_b \to J/\psi J/\psi to next-to-leading order in the strong coupling constant, while at leading order in charm quark relative velocity. It is ... More

Reversible MCMC on Markov equivalence classes of sparse directed acyclic graphsSep 26 2012Jan 27 2014Graphical models are popular statistical tools which are used to represent dependent or causal complex systems. Statistically equivalent causal or directed graphical models are said to belong to a Markov equivalent class. It is of great interest to describe ... More

Relay Broadcast Channel with Confidential MessagesDec 24 2013Dec 08 2015We investigate the effects of an additional relay node on the secrecy of broadcast channels by considering the model of relay broadcast channels with confidential messages. We show that this additional relay node can increase the achievable secrecy rate ... More

Phenomenological Understanding of a Transport Regime with Reflection Symmetry in the Quantum Hall System in a Composite Fermion PictureSep 20 1997Jun 16 1998In this paper, we present a phenomenological picture based on the composite fermion theory, in responding to the recent discovery by Shahar et al. of a new transport regime near the transition from a $\nu=1$ quantum Hall liquid to a Hall insulator(ref[8]). ... More

A Statistical Perspective on Algorithmic LeveragingJun 23 2013One popular method for dealing with large-scale data sets is sampling. For example, by using the empirical statistical leverage scores as an importance sampling distribution, the method of algorithmic leveraging samples and rescales rows/columns of data ... More

Tensor perturbations of Palatini $f(\mathcal{R})$-branesNov 12 2014Apr 26 2015We investigate the thick brane model in Palatini $f(\mathcal{R})$ gravity. The brane is generated by a real scalar field with a scalar potential. We solve the system analytically and obtain a series of thick brane solutions for the $f(\mathcal{R})=\mathcal{R}+\alpha ... More

Non-Fermi liquid behavior in an extended Anderson modelAug 27 1996An extended Anderson model, including screening channels (non-hybridizing, but interacting with the local orbit), is studied within the Anderson-Yuval approach, originally devised for the single-channel Kondo problem. By comparing the perturbation expansions ... More

Curvature Effect of a Non-Power-Law Spectrum and Spectral Evolution of GRB X-Ray TailsAug 27 2008Nov 04 2008The apparent spectral evolution observed in the steep decay phase of many GRB early afterglows raises a great concern of the high-latitude "curvature effect" interpretation of this phase. However, previous curvature effect models only invoked a simple ... More

Origin of the GeV Emission During the X-ray Flaring Activity in GRB 100728ADec 10 2011May 16 2012Recently, Fermi-LAT detected GeV emission during the X-ray flaring activity in GRB 100728A. We study various scenarios for its origin. The hard spectrum of the GeV emission favors the external inverse-Compton origin in which X-ray flare photons are up-scattered ... More

Schwinger boson mean field theory of the Heisenberg Ferrimagnetic Spin ChainApr 21 1999Apr 22 1999The Schwinger boson mean field theory is applied to the quantum ferrimagnetic Heisenberg chain. There is a ferrimagnetic long range order in the ground state. We observe two branches of the low lying excitation and calculate the spin reduction, the gap ... More

Building a comprehensive syntactic and semantic corpus of Chinese clinical textsNov 07 2016Nov 08 2016Objective: To build a comprehensive corpus covering syntactic and semantic annotations of Chinese clinical texts with corresponding annotation guidelines and methods as well as to develop tools trained on the annotated corpus, which supplies baselines ... More

Exploit Bounding Box Annotations for Multi-label Object RecognitionApr 22 2015Jun 03 2016Convolutional neural networks (CNNs) have shown great performance as general feature representations for object recognition applications. However, for multi-label images that contain multiple objects from different categories, scales and locations, global ... More

Regular level sets of Lyapunov graphs of nonsingular Smale flows on 3-manifoldsJul 20 2010In this paper, we first discuss the regular level set of a nonsingular Smale flow (NSF) on a 3-manifold. The main result about this topic is that a 3-manifold $M$ admits an NSF flow which has a regular level set homeomorphic to $(n+1)T^{2}$ $(n\in \mathbb{Z}, ... More

Remembering LeoJan 05 2011I do not remember when was the first time that I met Leo, but I have a clear memory of going to Leo's office on the 4th floor of Evans Hall to talk to him in my second year in Berkeley's Ph.D. program in 1986. The details of the conversation are not retained ... More

Measurement-device-independent quantum key distribution with source state errors in photon number spaceOct 23 2017The existing decoy-state MDI-QKD theory assumes the perfect control of the source states which is a an impossible task for any real setup. In this paper, we study the decoy-state MDI-QKD method with source errors without any presumed conditions and we ... More

Correlation property of length sequences based on global structure of complete genomeJun 30 2000Oct 20 2000This paper considers three kinds of length sequences of the complete genome. Detrended fluctuation analysis, spectral analysis, and the mean distance spanned within time $L$ are used to discuss the correlation property of these sequences. The values of ... More

Entanglement distribution maximization over one-side Gaussian noisy channelJan 04 2010Jun 11 2010The optimization of entanglement evolution for two-mode Gaussian pure states under one-side Gaussian map is studied. Even there isn't complete information about the one-side Gaussian noisy channel, one can still maximize the entanglement distribution ... More

The remaining parts for the long-standing J/psi polarization puzzleOct 21 2018Based on the non-relativistic quantum chromodynamics factorization formalism, the polarization parameters $\lambda_{\theta\phi}$ and $\lambda_{\phi}$ of $J/\psi$ hadroproduction are analyzed in helicity frame and calculated at QCD next-to-leading order ... More

An Updated Study for $Υ$ Production and Polarization at the Tevatron and LHCMar 29 2015Following the nonrelativistic QCD factorization scheme, by taking latest available measurement on $\chi_b(3P)$ into consideration, we present an updated study on the yield and polarization of $\Upsilon(1S,2S,3S)$ hadroproduction, and the fractions of ... More

Slow light of an amplitude modulated Gaussian pulse in electromagnetically induced transparency mediumJan 20 2009The slow light effects of an amplitude modulated Gaussian (AMG) pulse in a cesium atomic vapor are presented. In a single-$\Lambda$ type electromagnetically induced transparency (EIT) medium, more severe distortion is observed for an AMG pulse than a ... More

Solving Linear Programs with Complementarity Constraints using Branch-and-CutFeb 08 2018A linear program with linear complementarity constraints (LPCC) requires the minimization of a linear objective over a set of linear constraints together with additional linear complementarity constraints. This class has emerged as a modeling paradigm ... More

Electronic and Structural Properties of C$_{36}$ MoleculeApr 26 2000Apr 27 2000The extended SSH model and Bogoliubov-de Gennes(BdeG) formalism are applied to investigate the electronic properties and stable lattice configurations of C$_{36}$. We focus the problem on the molecule's unusual $D_{6h}$ symmetry. The electronic part of ... More

Perturbative QCD for $J/ψ$ Inclusive Production Via Initial State Radiation at $e^+e^-$ colliderMar 19 2019Up to the next-leading order (NLO) of quantum chromodynamics (QCD), the process $e^+e^-\to J/\psi +X$ with the center-of-mass (CM) energy range from 3.7 to 10.6 GeV is calculated. At 10.6 GeV, the results is consistent with the experiment results at the ... More

StabilityOct 01 2013Reproducibility is imperative for any scientific discovery. More often than not, modern scientific findings rely on statistical analysis of high-dimensional data. At a minimum, reproducibility manifests itself in stability of statistical results relative ... More

The Templates of Nonsingular Smale Flows on Three ManifoldsMar 11 2011In this paper, we first discuss some connections between template theory and the description of basic sets of Smale flows on 3-manifolds due to F. B\'eguin and C. Bonatti. The main tools we use are symbolic dynamics, template moves and some combinatorial ... More

Affine Hirsch foliations on 3-manifoldsApr 13 2016Apr 14 2016This paper is devoted to discussing affine Hirsch foliations on $3$-manifolds. First, we prove that up to isotopic leaf-conjugacy, every closed orientable $3$-manifold $M$ admits $0$, $1$ or $2$ affine Hirsch foliations. Then, we analysis the $3$-manifolds ... More

Weak cosmic censorship conjecture in Kerr black holes of modified gravityApr 19 2018By neglecting the effects of self-force and radiation, we investigate the possibility of destroying the Kerr-MOG black hole through the point particle absorption process. Using the instability of the event horizon and the condition that Bekenstein-Hawking ... More

Beating oscillations of magneto-optical spectra in simple hexagonal graphiteDec 23 2014The magneto-optical properties of simple hexagonal graphite exhibit rich beating oscillations, which are dominated by the field strength and photon energy. The former has a strong effect on the intensity, the energy range of the beating and the number ... More

Influence of the weakly interacting light U boson on the properties of massive PNSNov 27 2015Considering the octet baryons in relativistic mean field theory and selecting entropy per baryon S=1, we calculate and discuss the influence of U boson on the equation of state, mass-radius, moment of inertia and gravitational redshift of massive protoneutron ... More

Improved statistical fluctuation analysis for measurement-device-independent quantum key distribution with three-intensity decoy-state methodOct 13 2014Jan 26 2015We present an improved statistical fluctuation analysis for measurement device independent quantum key distribution with three-intensity decoy-state method. Taking the statistical fluctuations for different sources jointly, we present more tightened formulas ... More

Effective Eavesdropping to Twin Field Quantum Key DistributionMay 06 2018We present an effective Eavesdropping scheme to attack the twin-field protocol of quantum key distribution [TF-QKD] proposed recently.

Unified Approach to Universal Cloning and Phase-Covariant CloningApr 26 2008Jun 21 2008We analyze the problem of approximate quantum cloning when the quantum state is between two latitudes on the Bloch's sphere. We present an analytical formula for the optimized 1-to-2 cloning. The formula unifies the universal quantum cloning (UQCM) and ... More

The Improved Job Scheduling Algorithm of Hadoop PlatformJun 09 2015This paper discussed some job scheduling algorithms for Hadoop platform, and proposed a jobs scheduling optimization algorithm based on Bayes Classification viewing the shortcoming of those algorithms which are used. The proposed algorithm can be summarized ... More

Conceptual Proposal: Frequency Offset Modulation for High-Efficiency CommunicationsNov 13 2016Frequency offset modulation (FOM) is proposed as a new concept to provide both high energy efficiency and high spectral efficiency for communications. In the FOM system, an array of transmitters (TXs) is deployed and only one TX is activated for data ... More

Convergence of energy-dependent incommensurate antiferromagnetic neutron scattering peaks to commensurate resonance in underdoped bilayer cupratesJun 12 2002The recently discovered coexistence of incommensurate antiferromagnetic neutron scattering peaks and commensurate resonance in underdoped YBa$_2$Cu$_3$O$_{6+x}$ is calling for an explanation. Within the t-J model, the doping and energy dependence of the ... More

Depth $0$ Nonsingular Morse Smale flows on $S^3$Nov 26 2013Apr 07 2014In this paper, we first develope the concept of Lyapunov graph to weighted Lyapunov graph (abbreviated as WLG) for nonsingular Morse-Smale flows (abbreviated as NMS flows) on $S^3$. WLG is quite sensitive to NMS flows on $S^3$. For instance, WLG detect ... More

Comment: Monitoring Networked Applications With Incremental Quantile EstimationAug 02 2007Comment: Monitoring Networked Applications With Incremental Quantile Estimation [arXiv:0708.0302]

Critical phenomena and chemical potential of charged AdS black holeMay 24 2017We study the thermodynamics and the chemical potential for a five-dimensional charged AdS black hole by treating the cosmological constant as the number of colors $N$ in the boundary gauge theory and its conjugate quantity as the associated chemical potential ... More

A Novel Scattered Pilot Design for FBMC/OQAM SystemsSep 29 2015Filter bank multi-carrier with offset quadrature amplitude modulation (FBMC/OQAM) has been heavily studied as an alternative waveform for 5G systems. Its advantages of higher spectrum efficiency, localized frequency response and insensitivity to synchronization ... More

Quantum-Limited Amplification of Cavity Optomechanics without Resolved Sideband ConditionJun 15 2015We propose a scheme to realize the phase-preserving amplification without the restriction of resolved sideband condition. As a result, our gain-bandwidth product is about one magnitude larger than the existing proposals. In our model, an additional cavity ... More

Generalized three-intensity decoy state method for measurement device independent quantum key distributionSep 23 2013We present improved results and more general results for the decoy-state measurement device independent quantum key distribution (MDI-QKD) where the intensities of all 3 pulses can be non-zero. We present a more tightened explicit formula for the lower ... More

Order O(1) algorithm for first-principles transient current through open quantum systemsFeb 04 2016In the study the response time of ultrafast transistor and peak transient current to prevent melt down of nano-chips, the first principles transient current calculation plays an essential role in nanoelectronics. The first principles calculation of transient ... More

From Participatory Sensing to Mobile Crowd SensingJan 14 2014The research on the efforts of combining human and machine intelligence has a long history. With the development of mobile sensing and mobile Internet techniques, a new sensing paradigm called Mobile Crowd Sensing (MCS), which leverages the power of citizens ... More

Mobile Crowd Sensing and Computing: When Participatory Sensing Meets Participatory Social MediaMay 01 2015With the development of mobile sensing and mobile social networking techniques, Mobile Crowd Sensing and Computing (MCSC), which leverages heterogeneous crowdsourced data for large-scale sensing, has become a leading paradigm. Built on top of the participatory ... More

The Haldane Energy Gap of A Doped Linear-Chain Heisenberg AntiferromagnetJan 27 1993Jan 28 1993Using the valence-bond-solid (VBS) approach and the Schwinger boson mean field approximation, we study the dependence of the Haldane gap of a spin-1 linear chain Heisenberg antiferromagnet on impurity doping with different spins. The impurity spins affect ... More

Fast MCMC sampling algorithms on polytopesOct 23 2017Mar 06 2019We propose and analyze two new MCMC sampling algorithms, the Vaidya walk and the John walk, for generating samples from the uniform distribution over a polytope. Both random walks are sampling algorithms derived from interior point methods. The former ... More

The r-mode instability windows of strange starsOct 13 2018Feb 19 2019With the constraint from gravitational wave emission of a binary merger system (GW170817) and two-solar-mass pulsar observations, we investigate the r-mode instability windows of strange stars with unpaired and color-flavor-locked phase strange quark ... More

Dynamics of a single hole in the Heisenberg-Kitaev model: a self-consistent Born approximation studyApr 01 2018The magnetic properties of 4d and 5d transition-metal insulating compounds with the honeycomb structure are believed to be described by the Heisenberg-Kitaev model, which contains both the isotropic Heisenberg interaction J and anisotropic Kitaev interaction ... More

Lyapunov graphs of nonsingular Smale flows on $S^{1}\times S^{2}$Mar 11 2011In this paper, following J. Franks' work on Lyapunov graphs of nonsingular Smale flows on $S^3$, we study Lyapunov graphs of nonsingular Smale flows on $S^1 \times S^2$. More precisely, we determine necessary and sufficient conditions on an abstract Lyapunov ... More

High-speed Tracking with Multi-kernel Correlation FiltersJun 17 2018Correlation filter (CF) based trackers are currently ranked top in terms of their performances. Nevertheless, only some of them, such as KCF~\cite{henriques15} and MKCF~\cite{tangm15}, are able to exploit the powerful discriminability of non-linear kernels. ... More

General Black Hole Solutions in (2+1)-dimensions with a Scalar Field Non-Minimally Coupled to GravityJan 22 2019We discuss black hole solutions in (2+1)-dimensions with a scalar field non-minimally coupled to Einstein's gravity in the presence of a cosmological constant and a self-interacting scalar potential. Without specifying the form of the potential, we find ... More

High Speed Kernelized Correlation Filters without Boundary EffectJun 17 2018Jul 10 2018Recently, correlation filter based trackers (CF trackers) have attracted much attention in vision community because of their top performance in both location and speed. However, the boundary effect imposed by the periodic assumption for the efficient ... More

Multi-level Attention Model for Weakly Supervised Audio ClassificationMar 06 2018In this paper, we propose a multi-level attention model to solve the weakly labelled audio classification problem. The objective of audio classification is to predict the presence or absence of audio events in an audio clip. Recently, Google published ... More

Holes in a Two-Dimensional Quantum AntiferromagnetAug 13 1993A brief review is presented on the studies of the hole motion in a two--dimensional quantum antiferromagnet. An extended introduction is given to cover the background of the problem. The quantum Bogoliubov--de Gennes formalism which treats the local distortion ... More

Image Restoration Using Convolutional Auto-encoders with Symmetric Skip ConnectionsJun 29 2016Aug 30 2016Image restoration, including image denoising, super resolution, inpainting, and so on, is a well-studied problem in computer vision and image processing, as well as a test bed for low-level image modeling algorithms. In this work, we propose a very deep ... More

Image Restoration Using Very Deep Convolutional Encoder-Decoder Networks with Symmetric Skip ConnectionsMar 30 2016Sep 01 2016In this paper, we propose a very deep fully convolutional encoding-decoding framework for image restoration such as denoising and super-resolution. The network is composed of multiple layers of convolution and de-convolution operators, learning end-to-end ... More

High-resolution Tunneling Spectroscopy of ABA-stacked Trilayer GrapheneApr 23 2018ABA-stacked trilayer graphene (TLG), the simplest system consisting of both massless and massive Dirac fermions, is expected to exhibit many interesting broken-symmetry quantum Hall states and interaction-induced phenomena. However, difficulties in microscopically ... More

Quantum entropy of two-dimensional extreme charged dilaton black holeJul 20 1998By using Hawking's treatment as well as Zaslavskii's treatment respectively and the brick wall model, two different values of classical entropy and quantum entropy of scalar fields in the two-dimensional extreme charged dilaton black hole backgrounds ... More

Encoding-side-channel-free and measurement-device-independent quantum key distributionNov 03 2018We present a simple protocol where Alice and Bob only needs sending out a coherent state or not-sending out a coherent state to Charlie. There is no bases switching. We show that this protocol is both encoding-state-side-channel free to the source part ... More

Sending or not sending: twin-field quantum key distribution with large misalignment errorMay 23 2018Oct 30 2018Based on the novel idea of twin-field quantum key distribution, we present a sending-or-not-sending twin-field fault tolerant quantum key distribution protocol. Our protocol can access a secure distance longer than 700 km even though the misalignment ... More

Decoy state method for measurement device independent quantum key distribution with different intensities in only one basisSep 02 2013We show that the three-intensity protocol for measurement device independent quantum key distribution (MDI QKD) can be done with different light intensities in {\em only one} basis. Given the fact that the exact values yields of single-photon pairs in ... More

Scalar perturbations of Eddington-inspired Born-Infeld braneworldJun 15 2017Sep 17 2017We consider the scalar perturbations of Eddington-inspired Born-Infeld braneworld models in this paper. The dynamical equation for the physical propagating degree of freedom $\xi(x^\mu,y)$ is achieved by using the Arnowitt-Deser-Misner decomposition method: ... More

ActiveCrowd: A Framework for Optimized Multi-Task Allocation in Mobile Crowdsensing SystemsAug 08 2016Worker selection is a key issue in Mobile Crowd Sensing (MCS). While previous worker selection approaches mainly focus on selecting a proper subset of workers for a single MCS task, multi-task-oriented worker selection is essential and useful for the ... More

Describing the ADD model in a warped geometryJan 12 2015Oct 26 2018We propose a new description of the (4+N)-dimensional Arkani-Hamed-Dimopoulos-Dvali (ADD) model in a (4+1)-dimensional warped geometry to solve the gauge hierarchy problem. It has the same KK spectrum as in the ADD model and recovers its phenomenons that ... More

Log-concave sampling: Metropolis-Hastings algorithms are fastJan 08 2018Mar 06 2019We consider the problem of sampling from a strongly log-concave density in $\mathbb{R}^d$, and prove a non-asymptotic upper bound on the mixing time of the Metropolis-adjusted Langevin algorithm (MALA). The method draws samples by simulating a Markov ... More