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Existence of conformal metrics with constant scalar curvature and constant boundary mean curvature on compact manifoldsNov 01 2016Apr 19 2018We study the problem of deforming a Riemannian metric to a conformal one with nonzero constant scalar curvature and nonzero constant boundary mean curvature on a compact manifold of dimension $n\geq 3$. We prove the existence of such conformal metrics ... More

Modulational instability and homoclinic orbit solutions in vector nonlinear Schrödinger equationApr 03 2017Modulational instability has been used to explain the formation of breather and rogue waves qualitatively. In this paper, we show modulational instability can be used to explain the structure of them in a quantitative way. We develop a method to derive ... More

Brenier approach for optimal transportation between a quasi-discrete measure and a discrete measureJan 17 2018Correctly estimating the discrepancy between two data distributions has always been an important task in Machine Learning. Recently, Cuturi proposed the Sinkhorn distance which makes use of an approximate Optimal Transport cost between two distributions ... More

Exact solution for infinitely strongly interacting Fermi gases in tight waveguidesJun 11 2008Apr 02 2009We present an exact analytical solution of the fundamental systems of quasi-one-dimensional spin-1/2 fermions with infinite repulsion for arbitrary confining potential. The eigenfunctions are constructed by the combination of Gireardeau's hard-core contacting ... More

High frequency mode generation by toroidal Alfven eigenmodesMay 17 2019Nonlinear generation of high frequency mode (HFM) by toroidal Alfven eigenmode (TAE) observed in HL-2A tokamak is analyzed using nonlinear gyrokinetic theory. It is found that, the HFM can be dominated by $|nq-m|=1$ perturbations with predominantly ideal ... More

Free probability, free entropy and applications to von Neumann algebrasApr 22 2003This talk is organized as follows: First we explain some basic concepts in non-commutative probability theory in the frame of operator algebras. In Section 2, we discuss related topics in von Neumann algebras. Sections 3 and 4 contain some of the key ... More

Approximation in the mean by rational functions IIJul 09 2019For $1\le t < \infty$, a compact subset $K\subset\mathbb C$, and a finite positive measure $\mu$ supported on $K$, $R^t(K, \mu)$ denotes the closure in $L^t(\mu)$ of rational functions with poles off $K$. Conway and Yang (2019) introduced the concept ... More

Densely tracking sequences of 3D face scansSep 13 20173D face dense tracking aims to find dense inter-frame correspondences in a sequence of 3D face scans and constitutes a powerful tool for many face analysis tasks, e.g., 3D dynamic facial expression analysis. The majority of the existing methods just fit ... More

Existence of conformal metrics with constant scalar curvature and constant boundary mean curvature on compact manifoldsNov 01 2016We study the problem of deforming a Riemannian metric to a conformal one with nonzero constant scalar curvature and nonzero constant boundary mean curvature on a compact manifold of dimension $n\geq 3$. We prove the existence of such conformal metrics ... More

Super-Tonks-Girardeau gas of spin-1/2 interacting fermionsMay 04 2010Oct 20 2010Fermi gases confined in tight one-dimensional waveguides form two-particle bound states of atoms in the presence of a strongly attractive interaction. Based on the exact solution of the one-dimensional spin-1/2 interacting Fermi gas, we demonstrate that ... More

Quantitative Relation between Modulational Instability and Several Well-known Nonlinear ExcitationsOct 28 2014Sep 02 2015We study on the relations between modulational instability and several well-known nonlinear excitations in a nonlinear fiber, such as bright soliton, nonlinear continuous wave, Akhmediev breather, Peregrine rogue wave, and Kuznetsov-Ma breather. We present ... More

Trajectory Characters of Rogue WavesMay 24 2013Oct 15 2013We present a simple representation for arbitrary-order rogue wave solution and study on the trajectories of them explicitly. We find that the global trajectories on temporal-spatial distribution all look like "X" shape for rogue waves. Short-time prediction ... More

Analytical solutions for two heteronuclear atoms in a ring trapJan 26 2011We consider two heteronuclear atoms interacting with a short-range $\delta$ potential and confined in a ring trap. By taking the Bethe-ansatz-type wavefunction and considering the periodic boundary condition properly, we derive analytical solutions for ... More

Iteratively reweighted least squares for robust regression via SVM and ELMMar 27 2019The measure of most robust machine learning methods is reweighted. To overcome the optimization difficulty of the implicitly reweighted robust methods (including modifying loss functions and objectives), we try to use a more direct method: explicitly ... More

The minimal number of generators for simple Lie superalgebrasApr 11 2012Using the classification theorem due to Kac we prove that any finite dimensional simple Lie superalgebra over an algebraically closed field of characteristic 0 is generated by one element.

Automorphism groups of the finite dimensional special odd Hamiltonian superalgebras in prime characteristicMay 25 2011This paper is devoted to a study of the automorphism groups of three series of finite dimensional special odd Hamiltonian superalgebras $\mathfrak{g}$ over a field of prime characteristic. Our aim is to characterize the connections between the automorphism ... More

Intra-class Variation Isolation in Conditional GANsNov 27 2018Current state-of-the-art conditional generative adversarial networks (C-GANs) require strong supervision via labeled datasets in order to generate images with continuously adjustable, disentangled semantics. In this paper we introduce a new formulation ... More

Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equationsJul 19 2014Aug 25 2014We derive generalized nonlinear wave solution formula for mixed coupled nonlinear Sch\"odinger equations (mCNLSE) by performing the unified Darboux transformation. We give the classification of the general soliton formula on the nonzero background based ... More

Repulsion and attraction in high Tc superconductorsDec 21 2010Dec 31 2010The influence of repulsion and attraction in high-Tc superconductors to the gap functions is studied. A systematic method is proposed to compute the gap functions using the irreducible representations of the point group. It is found that a pure s-wave ... More

The Han-Li conjecture in constant scalar curvature and constant boundary mean curvature problem on compact manifoldsMay 24 2018The Han-Li conjecture states that: Let $(M,g_0)$ be an $n$-dimensional $(n\geq 3)$ smooth compact Riemannian manifold with boundary having positive (generalized) Yamabe constant and $c$ be any real number, then there exists a conformal metric of $g_0$ ... More

Prescribed scalar curvature plus mean curvature flows in compact manifolds with boundary of negative conformal invariantMay 05 2016Jul 21 2016We employ three different methods to prove the following result on prescribed scalar curvature plus mean curvature problem: Let $(M^n,g_0)$ be a $n$-dimensional smooth compact manifold with boundary, where $n \geq 3$, assume the conformal invariant $Y(M,\partial ... More

High-order Rogue Wave solutions for the Coupled Nonlinear Schrödinger Equations-IIMay 18 2015We study on dynamics of high-order rogue wave in two-component coupled nonlinear Schr\"{o}dinger equations. Based on the generalized Darboux transformation and formal series method, we obtain the high-order rogue wave solution without the special limitation ... More

Reply to "Comment on "Darboux transformation and classification of solution for mixed coupled nonlinear Schrödinger equations""Aug 10 2014In the recent comment quoted in the title (arXiv:1407.7852v1), a comment is presented on our recent work which derive a generalized nonlinear wave solution formula for mixed coupled nonlinear Sch\"{o}dinger equations by performing the unified Darboux ... More

High-order Rogue Waves in Vector Nonlinear Schrödinger EquationsNov 12 2013We study on dynamics of high-order rogue wave in two-component coupled nonlinear Schr\"{o}dinger equations. We find four fundamental rogue waves can emerge for second-order vector RW in the coupled system, in contrast to the high-order ones in single ... More

Automatic video scene segmentation based on spatial-temporal clues and rhythmDec 15 2014With ever increasing computing power and data storage capacity, the potential for large digital video libraries is growing rapidly.However, the massive use of video for the moment is limited by its opaque characteristics. Indeed, a user who has to handle ... More

A Markov Chain-Based Numerical Method for Calculating Network Degree DistributionsSep 30 2004Oct 05 2004This paper establishes a relation between scale-free networks and Markov chains, and proposes a computation framework for degree distributions of scale-free networks. We first find that, under the BA model, the degree evolution of individual nodes in ... More

Bicameral Structuring and Synthetic Imagery for Jointly Predicting Instance Boundaries and Nearby Occlusions from a Single ImageJun 18 2019Oriented boundary detection is a challenging task aimed at both delineating category-agnostic object instances and inferring their spatial layout from a single RGB image. State-of-the-art deep convolutional networks for this task rely on two independent ... More

Toward a Procedural Fruit Tree Rendering Framework for Image AnalysisJul 10 2019We propose a procedural fruit tree rendering framework, based on Blender and Python scripts allowing to generate quickly labeled dataset (i.e. including ground truth semantic segmentation). It is designed to train image analysis deep learning methods ... More

Jacquard: A Large Scale Dataset for Robotic Grasp DetectionMar 30 2018Sep 28 2018Grasping skill is a major ability that a wide number of real-life applications require for robotisation. State-of-the-art robotic grasping methods perform prediction of object grasp locations based on deep neural networks. However, such networks require ... More

Majorana zero modes on a 1D chain for quantum computationMay 06 2014Numerical calculations for Majorana zero modes on a one-dimensional chain are performed using the technique of block diagonalization for general parameter settings. It is found that Majorana zero modes occur near the ends of the chain and decay exponentially ... More

Strongly interacting Bose-Fermi mixtures in one dimensionOct 12 2015Feb 06 2016We study one-dimensional strongly interacting Bose-Fermi mixtures by both the exact Bethe-ansatz method and variational perturbation theory within the degenerate ground state subspace of the system in the infinitely repulsive limit. Based on the exact ... More

Darboux transformation and multi-dark soliton for N-component coupled nonlinear Schrödinger equationsSep 04 2013In this paper, we obtain a uniform Darboux transformation for multi-component coupled NLS equations, which can be reduced to all previous presented Darboux transformation. As a direct application, we derive the single dark soliton and multi-dark soliton ... More

Optimal Transport for Deep Joint Transfer LearningSep 09 2017Training a Deep Neural Network (DNN) from scratch requires a large amount of labeled data. For a classification task where only small amount of training data is available, a common solution is to perform fine-tuning on a DNN which is pre-trained with ... More

MES-P: an Emotional Tonal Speech Dataset in Mandarin Chinese with Distal and Proximal LabelsAug 30 2018Oct 16 2018Emotion shapes all aspects of our interpersonal and intellectual experiences. Its automatic analysis has there-fore many applications, e.g., human-machine interface. In this paper, we propose an emotional tonal speech dataset, namely Mandarin Chinese ... More

W-shaped solitons generated from a weak modulation in the Sasa-Satsuma equationMay 08 2015We revisit on rational solution of Sasa-Satsuma equation, which can be used to describe evolution of optical field in a nonlinear fiber with some high-order effects. We find a striking dynamical process which involves both modulational instability and ... More

Improving Heterogeneous Face Recognition with Conditional Adversarial NetworksSep 08 2017Sep 13 2017Heterogeneous face recognition between color image and depth image is a much desired capacity for real world applications where shape information is looked upon as merely involved in gallery. In this paper, we propose a cross-modal deep learning method ... More

Extended Quark Potential Model from Random Phase ApproximationJan 04 2002The quark potential model is extended to include the sea quark excitation using the random phase approximation (RPA). The effective quark interaction preserves the important Quantum Chromodynamics (QCD) properties -- chiral symmetry and confinement simultaneously. ... More

Object segmentation in depth maps with one user click and a synthetically trained fully convolutional networkJan 04 2018Sep 24 2018With more and more household objects built on planned obsolescence and consumed by a fast-growing population, hazardous waste recycling has become a critical challenge. Given the large variability of household waste, current recycling platforms mostly ... More

Novel Localized Waves in a Two-mode Nonlinear Fiber with High-order EffectsAug 01 2013Dec 13 2013We study on rational solutions on nonzero background of coupled Sasa-Satsuma equations through Darboux transformation method, which take into account third order dispersion, the term with self-frequency shift, and the term describing self-steepening corrections ... More

Robust Data Geometric Structure Aligned Close yet Discriminative Domain AdaptationMay 24 2017Domain adaptation (DA) is transfer learning which aims to leverage labeled data in a related source domain to achieve informed knowledge transfer and help the classification of unlabeled data in a target domain. In this paper, we propose a novel DA method, ... More

Interpreting Shared Deep Learning Models via Explicable Boundary TreesSep 12 2017Despite outperforming the human in many tasks, deep neural network models are also criticized for the lack of transparency and interpretability in decision making. The opaqueness results in uncertainty and low confidence when deploying such a model in ... More

DeepVisage: Making face recognition simple yet with powerful generalization skillsMar 24 2017Apr 07 2017Face recognition (FR) methods report significant performance by adopting the convolutional neural network (CNN) based learning methods. Although CNNs are mostly trained by optimizing the softmax loss, the recent trend shows an improvement of accuracy ... More

Rational W-shaped Optical Soliton on Continuous Wave in Presence of Kerr Dispersion and Stimulated Raman ScatteringOct 29 2013Nov 13 2013We study localized wave on continuous wave background analytically in a nonlinear fiber with higher order effects such as higher order dispersion, Kerr dispersion, and stimulated inelastic scattering. We present an exact rational W-shaped soliton solutions, ... More

Discriminative and Geometry Aware Unsupervised Domain AdaptationDec 28 2017Domain adaptation (DA) aims to generalize a learning model across training and testing data despite the mismatch of their data distributions. In light of a theoretical estimation of upper error bound, we argue in this paper that an effective DA method ... More

Developmental Bayesian Optimization of Black-Box with Visual Similarity-Based Transfer LearningSep 26 2018Oct 19 2018We present a developmental framework based on a long-term memory and reasoning mechanisms (Vision Similarity and Bayesian Optimisation). This architecture allows a robot to optimize autonomously hyper-parameters that need to be tuned from any action and/or ... More

Deep Representation of Facial Geometric and Photometric Attributes for Automatic 3D Facial Expression RecognitionNov 10 2015In this paper, we present a novel approach to automatic 3D Facial Expression Recognition (FER) based on deep representation of facial 3D geometric and 2D photometric attributes. A 3D face is firstly represented by its geometric and photometric attributes, ... More

Discriminative Label Consistent Domain AdaptationFeb 21 2018Domain adaptation (DA) is transfer learning which aims to learn an effective predictor on target data from source data despite data distribution mismatch between source and target. We present in this paper a novel unsupervised DA method for cross-domain ... More

On the concentration properties of Interacting particle processesJul 11 2011Jul 12 2011These lecture notes present some new concentration inequalities for Feynman-Kac particle processes. We analyze different types of stochastic particle models, including particle profile occupation measures, genealogical tree based evolution models, particle ... More

Object segmentation in depth maps with one user click and a synthetically trained fully convolutional networkJan 04 2018With more and more household objects built on planned obsolescence and consumed by a fast-growing population, hazardous waste recycling has become a critical challenge. Given the large variability of household waste, current recycling platforms mostly ... More

Pair-Tunneling Induced Localized Waves in a Vector Nonlinear Schrödinger EquationSep 27 2013We investigate the localized waves of the coupled two-mode nonlinear Schr\"{o}dinger equations with a pair-tunneling term representing strongly interacting particles can tunnel between the modes as a fragmented pair. Facilitated by Darboux transformation, ... More

Temporal-Spatial Interference Pattern During Solitons InteractionAug 18 2013Interference patterns associated with soliton-soliton interaction are investigated in detail. We find that the temporal and spatial interference patterns exhibit quite different characteristics. The period of the spatial interference pattern is determined ... More

Bose-Fermi mixture in one-dimensional optical lattices with hard-core interactionsSep 30 2009We study a mixture of $N_{b}$ bosons with point hard-core boson-boson interactions and $N_{f}$ noninteracting spinless fermions with point hard-core boson-fermion interactions in 1D optical lattice with external harmonic confine potential. Using an extended ... More

Improving Shadow Suppression for Illumination Robust Face RecognitionOct 13 20172D face analysis techniques, such as face landmarking, face recognition and face verification, are reasonably dependent on illumination conditions which are usually uncontrolled and unpredictable in the real world. An illumination robust preprocessing ... More

Accurate Facial Parts Localization and Deep Learning for 3D Facial Expression RecognitionMar 04 2018Meaningful facial parts can convey key cues for both facial action unit detection and expression prediction. Textured 3D face scan can provide both detailed 3D geometric shape and 2D texture appearance cues of the face which are beneficial for Facial ... More

Spin density wave in oxypnictide superconductors in a three-band modelApr 26 2010The spin density wave and its temperature dependence in oxypnictide are studied in a three-band model. The spin susceptibilities with various interactions are calculated in the random phase approximation(PPA). It is found that the spin susceptibility ... More

Connected even factors in the square of essentially 2-edge connected graphsDec 30 2014Sep 18 2017In this paper we prove that the square of an essentially 2-edge connected graph with an additional property has a connected even factor with maximum degree at most 4. Moreover we show that, in general, the square of essentially 2-edge connected graph ... More

Passing Waves from Atomistic to ContinuumApr 26 2017Progress in the development of coupled atomistic-continuum methods for simulations of critical dynamic material behavior has been hampered by a spurious wave reflection problem at the atomistic-continuum interface. This problem is mainly caused by the ... More

A splitting property for subalgebras of tensor productsJan 01 1995We prove a basic result about tensor products of a $\text{II}_1$ factor with a finite von Neumann algebra and use it to answer, affirmatively, a question asked by S. Popa about maximal injective factors.

Reproducing kernel of the space $R^t(K,μ)$Apr 30 2019For $1 \le t < \infty ,$ a compact subset $K$ of the complex plane $\mathbb C,$ and a finite positive measure $\mu$ supported on $K,$ $R^t(K, \mu)$ denotes the closure in $L^t (\mu )$ of rational functions with poles off $K$. Let $\Omega$ be a connected ... More

Poincaré and transportation inequalities for Gibbs measures under the Dobrushin uniqueness conditionNov 21 2006In in this paper we establish an explicit and sharp estimate of the spectral gap (Poincar\'{e} inequality) and the transportation inequality for Gibbs measures, under the Dobrushin uniqueness condition. Moreover, we give a generalization of the Liggett's ... More

A Novel Feature Representation for Single-Channel Heartbeat Classification based on Adaptive Fourier DecompositionJun 18 2019This paper proposes a novel approach for heartbeat classification from single-lead electrocardiogram (ECG) signals based on the novel adaptive Fourier decomposition (AFD). AFD is a recently developed signal processing tool that provides useful morphological ... More

Adversarial Examples on Graph Data: Deep Insights into Attack and DefenseMar 05 2019May 22 2019Graph deep learning models, such as graph convolutional networks (GCN) achieve remarkable performance for tasks on graph data. Similar to other types of deep models, graph deep learning models often suffer from adversarial attacks. However, compared with ... More

Close Yet Distinctive Domain AdaptationApr 13 2017Domain adaptation is transfer learning which aims to generalize a learning model across training and testing data with different distributions. Most previous research tackle this problem in seeking a shared feature representation between source and target ... More

Lyapunov conditions for logarithmic Sobolev and Super Poincaré inequalityDec 03 2007We show how to use Lyapunov functions to obtain functional inequalities which are stronger than Poincar\'e inequality (for instance logarithmic Sobolev or $F$-Sobolev). The case of Poincar\'e and weak Poincar\'e inequalities was studied in Bakry and al. ... More

Laser Driven Ultra-compact Undulator for Synchrotron RadiationMar 13 2019Laser wakefield accelerators have emerged as a promising candidate for compact synchrotron radiation and even x-ray free electron lasers. Today, to make the electrons emit electromagnetic radiation, the trajectories of laser wakefield accelerated electrons ... More

Transition from Tonks-Girardeau gas to super-Tonks-Girardeau gas as an exact many-body dynamics problemNov 10 2009Mar 05 2010We investigate transition of a one-dimensional interacting Bose gas from a strongly repulsive regime to a strongly attractive regime, where a stable highly excited state known as the super Tonks-Girardeau gas was experimentally realized very recently. ... More

HPDedup: A Hybrid Prioritized Data Deduplication Mechanism for Primary Storage in the CloudFeb 27 2017Apr 16 2017Eliminating duplicate data in primary storage of clouds increases the cost-efficiency of cloud service providers as well as reduces the cost of users for using cloud services. Existing primary deduplication techniques either use inline caching to exploit ... More

The Euclid space-time diagram of the theory of relativityJun 03 2014A conventional space-time diagram is $r-ct$ one, which satisfies the Minkowski geometry. This geometry conflict the intuition from the Euclid geometry. In this work an Euclid space-time diagram is proposed to describe relativistic world lines with an ... More

A Geometric Interpretation of the Normal Closure of the Braid Group $B_n$ in the braid group of the torus $B_n(T)$Jun 20 2018Jan 24 2019Combining the results by Birman and Goldberg, it was proved the normal closure of the pure braid group of the disk $P_n(D)$ in the pure braid group of the torus $P_n(T)$ is the commutator subgroup $[P_n(T),P_n(T)]$. In this paper we are going to study ... More

Dynamics of Rogue Wave Excitation Pattern on Stripe Phase Backgrounds in a Two-component Bose-Einstein CondensateFeb 23 2017We study rogue wave excitation pattern in a two-component Bose-Einstein condensate with pair-transition effects. The results indicate that rogue wave excitation can exist on a stripe phase background for which there are cosine and sine wave background ... More

X-ray Spectral and timing properties of the black hole x-ray transient Swift J1753.5-0127Jan 17 2007We have carried out detailed analysis on the black hole candidate (BHC) X- ray transient Swift J1753.5-0127 observed by the Rossi X-Ray Timing Explorer (RXTE) during its outburst in 2005 {2006. The spectral analysis shows that the emissions are dominated ... More

DeepVIO: Self-supervised Deep Learning of Monocular Visual Inertial Odometry using 3D Geometric ConstraintsJun 27 2019Jun 28 2019This paper presents an self-supervised deep learning network for monocular visual inertial odometry (named DeepVIO). DeepVIO provides absolute trajectory estimation by directly merging 2D optical flow feature (OFF) and Inertial Measurement Unit (IMU) ... More

The Vulnerabilities of Graph Convolutional Networks: Stronger Attacks and Defensive TechniquesMar 05 2019Graph deep learning models, such as graph convolutional networks (GCN) achieve remarkable performance for tasks on graph data. Similar to other types of deep models, graph deep learning models often suffer from adversarial attacks. However, compared with ... More

The Vulnerabilities of Graph Convolutional Networks: Stronger Attacks and Defensive TechniquesMar 05 2019Mar 08 2019Graph deep learning models, such as graph convolutional networks (GCN) achieve remarkable performance for tasks on graph data. Similar to other types of deep models, graph deep learning models often suffer from adversarial attacks. However, compared with ... More

Tunneling Dynamics Between Atomic Bright SolitonsOct 09 2016We investigate tunneling behavior between two bright solitons in a Bose-Einstein condensate with attractive contact interactions between atoms. The explicit tunneling properties including tunneling particles and oscillation period are described analytically, ... More

Realization of effective super Tonks-Girardeau gases via strongly attractive one-dimensional Fermi gasesOct 09 2009Mar 05 2010A significant feature of the one-dimensional super Tonks-Girardeau gas is its metastable gas-like state with a stronger Fermi-like pressure than for free fermions which prevents a collapse of atoms. This naturally suggests a way to search for such strongly ... More

von Mises-Fisher Mixture Model-based Deep learning: Application to Face VerificationJun 13 2017Dec 31 2017A number of pattern recognition tasks, \textit{e.g.}, face verification, can be boiled down to classification or clustering of unit length directional feature vectors whose distance can be simply computed by their angle. In this paper, we propose the ... More

Visual and Semantic Knowledge Transfer for Large Scale Semi-supervised Object DetectionJan 09 2018Mar 13 2018Deep CNN-based object detection systems have achieved remarkable success on several large-scale object detection benchmarks. However, training such detectors requires a large number of labeled bounding boxes, which are more difficult to obtain than image-level ... More

Ballistic-diffusive Phonon Heat Transport across Grain BoundariesApr 27 2017The propagation of a heat pulse in a single crystal and across grain boundaries (GBs) is simulated using a concurrent atomistic-continuum method furnished with a coherent phonon pulse model. With a heat pulse constructed based on a Bose-Einstein distribution ... More

A Deep Learning Approach for Privacy Preservation in Assisted LivingFeb 22 2018In the era of Internet of Things (IoT) technologies the potential for privacy invasion is becoming a major concern especially in regards to healthcare data and Ambient Assisted Living (AAL) environments. Systems that offer AAL technologies make extensive ... More

Quasi-monoenergetic Electron Beams from Laser-plasma Acceleration by Ionization-induced Injection in Low- density Pure NitrogenOct 09 2014Oct 13 2014We report a laser wakefield acceleration of electron beams up to 130 MeV from laser-driven 4-mm long nitrogen gas jet. By using a moderate laser intensity (3.5*10^18 W.cm^(-2)) and relatively low plasma densities (0.8*10^18 cm^(-3) to 2.7*10^18 cm^(-3)) ... More

Swift Observations of the bright uncatalogued X-ray transient MAXI J1535-571Jun 21 2018Aug 06 2018The black hole candidate MAXI J1535-571 is a recently discovered X-ray transient. We report on the monitoring observations of Swift Gamma-Ray Burst Mission during outburst. The source transits from the hard state to the intermediate state, and reaches ... More

The transport mechanism of the integer quantum Hall effectJul 27 2016The integer quantum Hall effect is analysed using a transport mechanism with a semi-classic wave packages of electrons in this paper. A strong magnetic field perpendicular to a slab separates the electron current into two branches with opposite wave vectors ... More

An EPR local theory with a local correlationJul 01 2008Aug 27 2008A local theory with a local correlation is proposed to give an explanation for the contractions in the GHZ-like proofs for Bell's theorem and the violation to Bell's inequality. It agrees with the experimental predictions for the GHZ state of three entangled ... More

ROSF: Leveraging Information Retrieval and Supervised Learning for Recommending Code SnippetsMar 04 2017When implementing unfamiliar programming tasks, developers commonly search code examples and learn usage patterns of APIs from the code examples or reuse them by copy-pasting and modifying. For providing high-quality code examples, previous studies present ... More

Long Fading Mid-Infrared Emission in Transient Coronal Line Emitters: Dust Echo of Tidal Disruption FlareMay 17 2016Dec 01 2016The sporadic accretion following the tidal disruption of a star by a super-massive black hole (TDE) leads to a bright UV and soft X-ray flare in the galactic nucleus. The gas and dust surrounding the black hole responses to such a flare with an echo in ... More

On subfields of the Hermitian function fields involving the involution automorphismJul 23 2017A function field over a finite field is called maximal if it achieves the Hasse-Weil bound. Finding possible genera that maximal function fields achieve has both theoretical interest and practical applications to coding theory and other topics. As a subfield ... More

Generators of simple modular Lie superalgebrasJul 17 2012Let $X$ be one of the finite-dimensional simple graded Lie superalgebras of Cartan type $W, S, H, K, HO, KO, SHO$ or $SKO$ over an algebraically closed field of characteristic $p>3$. In this paper we prove that $X$ can be generated by one element except ... More

Convergence of the Yamabe flow on manifolds with minimal boundaryApr 22 2016Dec 26 2018We study the Yamabe flow on compact Riemannian manifolds of dimensions greater than two with minimal boundary. Convergence to a metric with constant scalar curvature and minimal boundary is established in dimensions up to seven, and in any dimensions ... More

Long-Term Decline of the Mid-Infrared Emission of Normal Galaxies: Dust Echo of Tidal Disruption Flare?Feb 14 2018We report the discovery of a sample of 19 low redshift (z<0.22) spectroscopically non-Seyfert galaxies that show slow declining mid-infrared (MIR) light-curves (LCs), similar to those of tidal disruption event (TDE) candidates with extreme coronal lines. ... More

X-ray spectral and temporal analysis of Narrow Line Seyfert 1 galaxy Was 61Mar 10 2016We present an analysis of spectrum and variability of the bright reddened narrow line Seyfert 1 galaxy Was~61 using 90 ks archival {\it XMM-Newton} data. The X-ray spectrum in 0.2-10 keV can be characterized by an absorbed power-law plus soft excess and ... More

Centered Sobolev inequality and exponential convergence in $Φ$-entropyMar 01 2017In this short paper we find that the Sobolev inequality $$\frac 1{p-2}\left[\left(\int f^{p} d\mu\right)^{2/p} - \int f^2 d\mu\right] \le C \int |\nabla f|^2 d\mu$$ ($p\ge 0$) is equivalent to the exponential convergence of the Markov diffusion semigroup ... More

Convergence of the Yamabe flow on manifolds with minimal boundaryApr 22 2016We study the Yamabe flow on compact Riemannian manifolds of dimensions greater than two with minimal boundary. Convergence to a metric with constant scalar curvature and minimal boundary is established in dimensions up to seven, and in any dimensions ... More

Generators of simple Lie superalgebras in characteristic 0Mar 22 2011It is shown that any finite dimensional simple Lie superalgebra over an algebraically closed field of characteristic 0 is generated by 2 elements.

Large deviations for empirical measures of mean field Gibbs measuresApr 05 2018Feb 18 2019In this paper, we show that the empirical measure of mean-field model satisfies the large deviation principle with respect to the weak convergence topology or the stronger Wasserstein metric, under the strong exponential integrability condition on the ... More

Classification theorems for solutions of higher order boundary conformally invariant problems, IJan 25 2016Sep 20 2016In this paper, we prove that nonnegative polyharmonic functions on the upper half space satisfying a conformally invariant nonlinear boundary condition have to be the "\emph{polynomials} plus \emph{bubbles}" form. The nonlinear problem is motivated by ... More

A Unified Framework for Mutual Improvement of SLAM and Semantic SegmentationDec 25 2018Mar 22 2019This paper presents a novel framework for simultaneously implementing localization and segmentation, which are two of the most important vision-based tasks for robotics. While the goals and techniques used for them were considered to be different previously, ... More

The WISE Detection of an Infrared Echo in Tidal Disruption Event ASASSN-14liMay 16 2016Sep 07 2016We report the detection of a significant infrared variability of the nearest tidal disruption event (TDE) ASASSN-14li using Wide-field Infrared Survey Explorer} and newly released Near-Earth Object WISE Reactivation} data. In comparison with the quiescent ... More

Nuclear charge distribution in the spontaneous fission of 252CfNov 29 2015The measurement for charge distributions of fragments in 252Cf has been performed by using a unique style of detector setup consisting of a typical grid ionization chamber and a dE-E particle telescope. We found that the fragment mass dependency of the ... More

Mid-infrared variability of changing-look AGNJul 10 2017Aug 31 2017It is known that some active galactic nuclei (AGNs) transited from type 1 to type 2 or vice versa. There are two explanations for the so-called changing look AGNs: one is the dramatic change of the obscuration along the line-of-sight, the other is the ... More