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Meta-Learning for Low-resource Natural Language Generation in Task-oriented Dialogue SystemsMay 14 2019Natural language generation (NLG) is an essential component of task-oriented dialogue systems. Despite the recent success of neural approaches for NLG, they are typically developed for particular domains with rich annotated training examples. In this ... More

Transport evidence for the three-dimensional Dirac semimetal phase in ZrTe5Mar 17 2016Mar 23 2016Topological Dirac semimetal is a newly discovered class of materials and has attracted intense attentions. This material can be viewed as a three-dimensional (3D) analogue of graphene and has linear energy dispersion in bulk, leading to a range of exotic ... More

Thickness-tuned transition of band topology in ZrTe5 nanosheetsNov 26 2016We report thickness-tuned electrical transport and Hall resistivity in highly anisotropic three-dimensional Dirac semimetal ZrTe5 nanosheets. We find that when the thickness of the nanosheet is blow about 40 nm, the system takes a clear transition from ... More

Field induced topological phase transition from a three-dimensional Weyl semimetal to a two-dimensional massive Dirac metal in ZrTe5Jul 19 2016Sep 04 2017Symmetry protected Dirac semimetals can be transformed into Weyl semimetals by breaking the protecting symmetry, leading to many exotic quantum phenomena such as chiral anomaly and anomalous Hall effect. Here we show that, due to the large Zeeman g factor ... More

Extremely large magnetoresistance in a topological semimetal candidate pyrite PtBi2Sep 09 2016Apr 26 2017While pyrite-type PtBi2 with face-centered cubic structure has been predicted to be a three-dimensional (3D) Dirac semimetal, experimental study on its physical properties remains absent. Here we report the angular-dependent magnetoresistance (MR) measurements ... More

Non-symmetric distorted Brownian motion: strong solutions, strong Feller property and non-explosion resultsMar 28 2015Nov 15 2016Using elliptic regularity results in weighted spaces, stochastic calculus and the theory of non-symmetric Dirichlet forms, we first show weak existence of non-symmetric distorted Brownian motion for any starting point in some domain $E$ of $\mathbb{R}^d$, ... More

Long-term analysis of exponential integrators for highly oscillatory conservative systemsSep 19 2018In this paper, we investigate the long-time near-conservations of energy and kinetic energy by the widely used exponential integrators to highly oscillatory conservative systems. The modulated Fourier expansions of two kinds of exponential integrators ... More

3D Graph Convolutional Networks with Temporal Graphs: A Spatial Information Free Framework For Traffic ForecastingMar 03 2019Spatio-temporal prediction plays an important role in many application areas especially in traffic domain. However, due to complicated spatio-temporal dependency and high non-linear dynamics in road networks, traffic prediction task is still challenging. ... More

Construction of Liouville Brownian motion via Dirichlet form theoryJan 23 2019The Liouville Brownian motion which was introduced in \cite{GRV} is a natural diffusion process associated with a random metric in two dimensional Liouville quantum gravity. In this paper we construct the Liouville Brownian motion via Dirichlet form theory. ... More

Liouville distorted Brownian motionJan 23 2019The Liouville Brownian motion was introduced in \cite{GRV} as a time changed process $B_{A_t^{-1}}$ of a planar Brownian motion $(B_t)_{t \ge 0}$, where $(A_t)_{t \ge 0}$ is the positive continuous additive functional of $(B_t)_{t \ge 0}$ in the strict ... More

Elliptic regularity results: n-regularized Liouville Brownian motion and non-symmetric diffusions associated with degenerate formsJun 19 2016We apply improved elliptic regularity results to a concrete symmetric Dirichlet form and various non-symmetric Dirichlet forms with possibly degenerate symmetric diffusion matrix. Given the (non)-symmetric Dirichlet form, using elliptic regularity results ... More

Strict decomposition of diffusions associated to degenerate (sub)-elliptic formsJun 19 2016For degenerate symmetric (sub)-elliptic forms, we construct weak solutions to the corresponding stochastic differential equations starting from all points in Euclidean space. By virtue of transition density estimate, stochastic calculus, and strict Fukushima ... More

Strict decomposition of diffusions associated to degenerate (sub)-elliptic formsJun 19 2016Jun 14 2018For given strongly local Dirichlet forms with possibly degenerate symmetric (sub)-elliptic matrix, we show the existence of weak solutions to the stochastic differential equations (associated with the Dirichlet forms) starting from all points in $\R^d$. ... More

Revealing nonclassicality beyond Gaussian states via a single marginal distributionFeb 05 2017A standard method to obtain information on a quantum state is to measure marginal distributions along many different axes in phase space, which forms a basis of quantum state tomography. We theoretically propose and experimentally demonstrate a general ... More

Testing nonclassicality and non-Gaussianity in phase spaceMay 06 2015May 15 2015We theoretically propose and experimentally demonstrate a nonclassicality test of single-mode field in phase space, which has an analogy with the nonlocality test proposed by Banaszek and Wodkiewicz [Phys. Rev. Lett. 82, 2009 (1999)]. Our approach to ... More

Pointwise weak existence of distorted skew Brownian motion with respect to discontinuous Muckenhoupt weightsNov 29 2013Apr 28 2014For any starting point in $\mathbb{R}^d$, we identify the stochastic differential equation that is satisfied by distorted Brownian motion with respect to a certain discontinuous Muckenhoupt $A_2$-weight $\psi$. The discontinuities of $\psi$ typically ... More

Demonstrating nonclassicality and non-Gaussianity of single-mode fields: Bell-type tests using generalized phase-space distributionsJan 03 2016We present Bell-type tests of nonclassicality and non-Gaussianity for single-mode fields employing a generalized quasiprobability function. Our nonclassicality tests are based on the observation that two orthogonal quadratures in phase space (position ... More

Pointwise weak existence for diffusions associated with degenerate elliptic forms and 2-admissible weightsAug 10 2015Nov 15 2016Using analysis for 2-admissible functions in weighted Sobolev spaces and stochastic calculus for possibly degenerate symmetric elliptic forms, we construct weak solutions to a wide class of stochastic differential equations starting from an explicitly ... More

Evidence of topological two-dimensional metallic surface states in thin bismuth nanoribbonsApr 23 2014Jul 08 2014Understanding of the exotic quantum phenomena in bulk bismuth beyond its ultraquantum limit still remains controversial and gives rise to a renewed interest. The focus of the issues is whether these quantum properties have a conventional bulk nature or ... More

Extremely large magnetoresistance in a new topological semimetal pyrite PtBi2Sep 09 2016While pyrite-type PtBi2 with face-centered cubic structure has been predicted to be a three-dimensional (3D) Dirac semimetal, experimental study on its physical properties remains absent. Here we report the angular-dependent magnetoresistance (MR) measurements ... More

Pointwise weak existence for diffusions associated to degenerate elliptic forms with 2-admissible weightsAug 10 2015Jul 13 2016Using analysis for 2-admissible functions in weighted Sobolev spaces and stochastic calculus for possibly degenerate symmetric elliptic forms, we construct weak solutions to a wide class of stochastic differential equations starting from an explicitly ... More

On singular stochastic differential equations and Dirichlet formsNov 15 2016This survey paper is a structured concise summary of four of our recent papers on the stochastic regularity of diffusions that are associated to regular strongly local (but not necessarily symmetric) Dirichlet forms. Here by stochastic regularity we mean ... More

On the stochastic regularity of distorted Brownian motionsMay 29 2014Dec 12 2015We systematically develop general tools to apply Fukushima's absolute continuity condition. These tools comprise methods to obtain a Hunt process on a locally compact separable metric state space whose transition function has a density w.r.t. the reference ... More

Field induced topological phase transition from three-dimensional Weyl semimetal to two-dimensional massive Dirac metal in ZrTe5Jul 19 2016Symmetry protected Dirac semimetal can be transformed into a Weyl semimetal by breaking the protecting symmetry, leading to many exotic quantum phenomena such as chiral anomaly, anomalous Hall effect. Here we show that, due to the large Zeeman g factor ... More

Probing the Chiral Anomaly by Planar Hall Effect in Three-dimensional Dirac Semimetal Cd3As2 NanoplatesOct 05 2017Searching for exotic transport properties in new topological state of matters is an active topic. One of the most fascinating achievements is the chiral anomaly in recently discovered Weyl semimetals (WSMs), which is manifested as a negative longitudinal ... More

Recognition of Fermi-arc states through the magnetoresistance quantum oscillations in Dirac semimetal Cd3As2 nanoplatesMar 26 2017Oct 05 2017The disjointed Fermi-arcs in Weyl semimetals can intertwine with chiral bulk modes and participate in unusual closed magnetic orbits in the presence of a vertical magnetic field. Here we carry out the quantum oscillation study of such unusual Weyl magnetic ... More

Weak localization effect in topological insulator micro flakes grown on insulating ferrimagnet BaFe12O19Apr 26 2016Many exotic physics anticipated in topological insulators require a gap to be opened for their topologica surface states by breaking time reversal symmetry. The gap opening has been achieved by doping magnetic impurities, which however inevitably create ... More

Edge-Mediated Skyrmion Chain and Its Collective Dynamics in a Confined GeometryMay 19 2015Oct 19 2015The emergence of a topologically nontrivial vortex-like magnetic structure, the magnetic skyrmion, has launched new concepts for memory devices. There, extensive studies have theoretically demonstrated the ability to encode information bits by using a ... More

An infinite family of cubic nonnormal Cayley graphs on nonabelian simple groupsDec 06 2016We construct a connected cubic nonnormal Cayley graph on $A_{2^m-1}$ for each integer $m\geqslant4$ and determine its full automorphism group. This is the first infinite family of connected cubic nonnormal Cayley graphs.

Optimal continuous-variable teleportation under energy constraintMay 29 2017Quantum teleportation is one of the crucial protocols in quantum information processing. It is important to accomplish an efficient teleportation under practical conditions, aiming at a higher fidelity desirably using fewer resources. The continuous-variable ... More

Distributed Storage over Unidirectional Ring NetworksFeb 18 2014Apr 14 2014In this paper, we study distributed storage problems over unidirectional ring networks, whose storage nodes form a directed ring and data is transmitted along the same direction. The original data is distributed to store on these nodes. Each user can ... More

Repairable Threshold Secret Sharing SchemesOct 27 2014Feb 04 2015In this paper, we propose a class of threshold secret sharing schemes with repairing function between shares without the help of the dealer, that we called repairable threshold secret sharing schemes. Specifically, if a share fails, such as broken or ... More

An infinite family of cubic nonnormal Cayley graphs on nonabelian simple groupsDec 06 2016Jun 10 2018We construct a connected cubic nonnormal Cayley graph on $\mathrm{A}_{2^m-1}$ for each integer $m\geqslant4$ and determine its full automorphism group. This is the first infinite family of connected cubic nonnormal Cayley graphs on nonabelian simple groups. ... More

Non-symmetric distorted Brownian motion: strong solutions, strong Feller property and non-explosion resultsMar 28 2015Apr 01 2016Using elliptic regularity results in weighted spaces, stochastic calculus and the theory of non-symmetric Dirichlet forms, we first show weak existence of non-symmetric distorted Brownian motion for any starting point in some domain $E$ of $\mathbb{R}^d$, ... More

Electrical Probing of Field-Driven Cascading Quantized Transitions of Skyrmion Cluster States in MnSi NanowiresApr 20 2015Magnetic skyrmions are topologically stable whirlpool-like spin textures that offer great promise as information carriers for future ultra-dense memory and logic devices1-4. To enable such applications, particular attention has been focused on the skyrmions ... More

On the Optimality of Secure Network CodingMay 06 2015In network communications, information transmission often encounters wiretapping attacks. Secure network coding is introduced to prevent information from being leaked to adversaries. The investigation of performance bounds on the numbers of source symbols ... More

Small Field Size for Secure Network CodingDec 19 2014In network coding, information transmission often encounters wiretapping attacks. Secure network coding is introduced to prevent information from being leaked to adversaries. For secure linear network codes (SLNCs), the required field size is a very important ... More

Road is Enough! Extrinsic Calibration of Non-overlapping Stereo Camera and LiDAR using Road InformationFeb 27 2019This paper presents a framework for the targetless extrinsic calibration of stereo cameras and Light Detection and Ranging (LiDAR) sensors with a non-overlapping Field of View (FOV). In order to solve the extrinsic calibrations problem under such challenging ... More

Distributed Storage Schemes over Unidirectional Ring NetworksJan 21 2014In this paper, we study distributed storage problems over unidirectional ring networks. A lower bound on the reconstructing bandwidth to recover total original data for each user is proposed, and it is achievable for arbitrary parameters. If a distributed ... More

Suppression of the magnetic order in CeFeAsO: non-equivalence of hydrostatic and chemical pressureMay 02 2018We present a detailed investigation of the electronic properties of CeFeAsO under chemical (As by P substitution) and hydrostatic pressure by means of in-house and synchrotron M\"ossbauer spectroscopy. The Fe magnetism is suppressed due to both pressures ... More

Quantum steering of Gaussian states via non-Gaussian measurementsNov 09 2015Jul 15 2016Quantum steering---a strong correlation to be verified even when one party or its measuring device is fully untrusted---not only provides a profound insight into quantum physics but also offers a crucial basis for practical applications. For continuous-variable ... More

Gaussian states under coarse-grained continuous variable measurementsJun 09 2014The quantum-to-classical transition of a quantum state is a topic of great interest in fundamental and practical aspects. A coarse-graining in quantum measurement has recently been suggested as its possible account in addition to the usual decoherence ... More

Gaussian benchmark for optical communication aiming towards ultimate capacityJun 03 2016We establish the fundamental limit of communication capacity within Gaussian schemes under phase-insensitive Gaussian channels, which employ multimode Gaussian states for encoding and collective Gaussian operations and measurements for decoding. We prove ... More

Monogamy relation in multipartite continuous-variable quantum teleportationDec 19 2016Quantum teleportation (QT) is a fundamentally remarkable communication protocol that also finds many important applications for quantum informatics. Given a quantum entangled resource, it is crucial to know to what extent one can accomplish the QT. This ... More

Continuous-variable dense coding via a general Gaussian state: Monogamy relationAug 06 2014We study a continuous variable (CV) dense-coding protocol, originally proposed to employ a two-mode squeezed state, using a general two-mode Gaussian state as a quantum channel. We particularly obtain conditions to manifest quantum advantage by beating ... More

Quantifying non-Gaussianity of quantum-state correlationNov 18 2017We consider how to quantify non-Gaussianity for the correlation of a bipartite quantum state by using various measures such as relative entropy and geometric distances. We first show that an intuitive approach, i.e., subtracting the correlation of a reference ... More

Steering Criteria via Covariance Matrices of Local Observables in Arbitrary Dimensional Quantum SystemsSep 08 2015Sep 13 2015We derive steerability criteria applicable for both finite and infinite dimensional quantum systems using covariance matrices of local observables. We show that these criteria are useful to detect a wide range of entangled states particularly in high ... More

Classical capacity of Gaussian communication under a single noisy channelApr 16 2015May 06 2015A long-standing problem on the classical capacity of bosonic Gaussian channels has recently been resolved by proving the minimum output entropy conjecture. It is also known that the ultimate capacity quantified by the Holevo bound can be achieved asymptotically ... More

Android Malware Clustering through Malicious Payload MiningJul 15 2017Clustering has been well studied for desktop malware analysis as an effective triage method. Conventional similarity-based clustering techniques, however, cannot be immediately applied to Android malware analysis due to the excessive use of third-party ... More

Nonclassicality generated by photon annihilation-then-creation and creation-then-annihilation operationsJun 18 2009We examine nonclassical properties of the field states generated by applying the photon annihilation-then-creation operation (AC) and creation-then-annihilation operation (CA) to the thermal and coherent states. Effects of repeated applications of AC ... More

Dissociation of ssDNA - Single-Walled Carbon Nanotube Hybrids by Watson-Crick Base PairingOct 05 2010The unwrapping event of ssDNA from the SWNT during the Watson-Crick base paring is investigated through electrical and optical methods, and binding energy calculations. While the ssDNA-metallic SWNT hybrid shows the p-type semiconducting property, the ... More

GHZ transform (I): Bell transform and quantum teleportationJan 27 2014Jul 14 2016It is well-known that maximally entangled states such as the Greenberger-Horne-Zeilinger (GHZ) states, with the Bell states as the simplest examples, are widely exploited in quantum information and computation. We study the application of such maximally ... More

SVM and ELM: Who Wins? Object Recognition with Deep Convolutional Features from ImageNetJun 08 2015Deep learning with a convolutional neural network (CNN) has been proved to be very effective in feature extraction and representation of images. For image classification problems, this work aim at finding which classifier is more competitive based on ... More

Approaching the Cramer-Rao Bound in Weak Lensing with PDF SymmetrizationJun 30 2016Weak lensing statistics is typically measured as weighted sum of shear estimators or their products (shear-shear correlation). The weighting schemes are designed in the hope of minimizing the statistical error without introducing systematic errors. It ... More

A novel integral equation for scattering by locally rough surfaces and application to the inverse problemFeb 01 2013This paper is concerned with the direct and inverse acoustic or electromagnetic scattering problems by a locally perturbed, perfectly reflecting, infinite plane (which is called a locally rough surface in this paper). We propose a novel integral equation ... More

Pointwise second-order necessary conditions for stochastic optimal controls, Part I: The case of convex control constraintSep 09 2014This paper is the first part of our series work to establish pointwise second-order necessary conditions for stochastic optimal controls. In this part, both drift and diffusion terms may contain the control variable but the control region is assumed to ... More

Symmetry analysis for time-fractional convection-diffusion equationDec 04 2015Dec 08 2015The time-fractional convection-diffusion equation is performed by Lie symmetry analysis method which involves the Riemann-Liouville time-fractional derivative of the order $\alpha\in(0,2)$. In eight cases, the symmetries are obtained and similarity reductions ... More

The Discovery of Mutated Driver Pathways in Cancer: Models and AlgorithmsApr 05 2016The pathogenesis of cancer in human is still poorly understood. With the rapid development of high-throughput sequencing technologies, huge volumes of cancer genomics data have been generated. Deciphering those data poses great opportunities and challenges ... More

Recovering scattering obstacles by multi-frequency phaseless far-field dataOct 19 2016It is well known that the modulus of the far-field pattern (or phaseless far-field pattern) is invariant under translations of the scattering obstacle if only one plane wave is used as the incident field, so the shape but not the location of the obstacle ... More

Subalgebras and finitistic dimensions of Artin algebrasJul 21 2011Let $A$ be an Artin algebra. We investigate subalgebras of $A$ with certain conditions and obtain some classes of algebras whose finitistic dimensions are finite.

On Hom-Lie antialgebraJan 10 2019In this paper, we introduced the notion of Hom-Lie antialgebras.The representations and cohomology theory of Hom-Lie antialgebras are investigated. We prove that the equivalent classes of abelian extensions of Hom-Lie antialgeras are in one-to-one correspondence ... More

Gravitational clustering of cosmic relic neutrinos in the Milky WayDec 04 2017May 09 2018The standard model of cosmology predicts the existence of cosmic neutrino background in the present Universe. To detect cosmic relic neutrinos in the vicinity of the Earth, it is necessary to evaluate the gravitational clustering effects on relic neutrinos ... More

EmbedJoin: Efficient Edit Similarity Joins via EmbeddingsFeb 01 2017Oct 06 2017We study the problem of edit similarity joins, where given a set of strings and a threshold value $K$, we want to output all pairs of strings whose edit distances are at most $K$. Edit similarity join is a fundamental problem in data cleaning/integration, ... More

Confinement-induced Resonances in Quasi-one-dimensional Traps with Transverse AnisotropyDec 23 2010We study atom-atom scattering in quasi-one-dimensional geometries with transverse anisotropy. By assuming an s-wave pseudo-potential of contact interaction, we show that the system would exhibit a single confinement-induced resonance, where the scattering ... More

A New Exact Worst-Case Linear Convergence Rate of the Proximal Gradient MethodFeb 25 2019Mar 12 2019In this note, we establish a new exact worst-case linear convergence rate of the proximal gradient method in terms of the proximal gradient norm, which complements the recent results in [1] and implies a refined descent lemma.descent lemma. Based on the ... More

Quantum coin flipping secure against channel noisesMay 27 2015So far, most of existed single-shot quantum coin flipping(QCF) protocols failed in a noisy quantum channel. Here, we present a nested-structured framework that makes it possible to achieve partially noise-tolerant QCF, due to that there is a trade-off ... More

Pointwise second-order necessary conditions for stochastic optimal controls, Part II: The general caseSep 26 2015Oct 19 2015This paper is the second part of our series of work to establish pointwise second-order necessary conditions for stochastic optimal controls. In this part, we consider the general cases, i.e., the control region is allowed to be nonconvex, and the control ... More

Cusp-shaped structure of a jet observed by IRIS and SDONov 15 2016On 29 August 2014, the trigger and evolution of a cusp-shaped jet were captured in detail at 1330 {\AA} by the Interface Region Imaging Spectrograph.At first, two neighboring mini-prominences arose in turn from low solar atmosphere and collided with a ... More

Crossed modules for Hom-Lie antialgebrasMar 21 2019In this paper, we introduced the concept of crossed module for Hom-Lie antialgebras. It is proved that the category of crossed modules for Hom-Lie antialgebras and the category of $Cat^1$-Hom-Lie antialgebras are equivalent to each other. The relationship ... More

Double Bicrosssum of Braided Lie algebrasJan 08 2007Jan 12 2007The condition for double bicrosssum to be a braided Lie bialgebra is given. The result generalizes quantum double, bicrosssum, bicrosscosum, bisum. The quantum double of braided Lie bialgebras is constructed. The relation between double crosssum of Lie ... More

Sequential Sampling for CGMY Processes via Decomposition of their Time ChangesAug 01 2017Aug 22 2018We present a new and easy-to-implement sequential sampling method for CGMY processes with either finite or infinite variation, exploiting the time change representation of the CGMY model and a decomposition of its time change. We find that the time change ... More

Pixel-wise Regression: 3D Hand Pose Estimation via Spatial-form Representation and Differentiable DecoderMay 06 20193D Hand pose estimation from a single depth image is an essential topic in computer vision and human-computer interaction. Although the rising of deep learning method boosts the accuracy a lot, the problem is still hard to solve due to the complex structure ... More

Computing Skylines on Distributed DataNov 01 2016In this paper we study skyline queries in the distributed computational model, where we have $s$ remote sites and a central coordinator (the query node); each site holds a piece of data, and the coordinator wants to compute the skyline of the union of ... More

Renormalized solutions for the fractional p(x)-Laplacian equation with L^1 dataAug 15 2017In this paper, we prove the existence and uniqueness of nonnegative renormalized solutions for the fractional p(x)-Laplacian problem with L1 data. Our results are new even in the constant exponent fractional p-Laplacian equation case.

Trajectory Design for Cellular-Connected UAV Under Outage Duration ConstraintJan 14 2019Mar 14 2019In this paper, we study the trajectory design for a cellular-connected unmanned aerial vehicle (UAV) with given initial and final locations, while communicating with the ground base stations (GBSs) along its flight. We consider delay-limited communications ... More

Minimality of a Kind of Pseudo-Umbilical Totally Real Submanifolds in Non-Flat Complex Space FormsDec 27 2015In this paper, by studying the position of umbilical normal vectors in the normal bundle, we prove that pseudo-umbilical totally real submanifolds with flat normal connection in non-flat complex space forms must be minimal.

Long time well-posdness of Prandtl system with small and analytic initial dataSep 05 2014In this paper, we investigate the long time existence and uniqueness of small solution to $d,$ for $d=2,3,$ dimensional Prandtl system with small initial data which is analytic in the horizontal variables. In particular, we prove that $d$ dimensional ... More

Global well-posedness of 3-D inhomogeneous Navier-Stokes equations with ill-prepared initial dataSep 05 2014In this paper, we investigate the global well-posedness of 3-D incompressible inhomogeneous Navier-Stokes equations with ill-prepared large initial data which are slowly varying in one space variable, that is, initial data of the form $\bigl(1+\e^{\be}a_0(x_{\rm ... More

UCNN: Exploiting Computational Reuse in Deep Neural Networks via Weight RepetitionApr 18 2018Convolutional Neural Networks (CNNs) have begun to permeate all corners of electronic society (from voice recognition to scene generation) due to their high accuracy and machine efficiency per operation. At their core, CNN computations are made up of ... More

Inequalities for Casorati curvatures of submanifolds in real space formsAug 21 2014Jun 15 2015By using T. Oprea's optimization methods on submanifolds, we give another proof of the inequalities relating the normalized $\delta-$Casorati curvature $\hat{\delta}_c(n-1)$ for submanifolds in real space forms. Also, inequalities relating the normalized ... More

A Newton method for simultaneous reconstruction of an interface and a buried obstacle from far-field dataNov 23 2012This paper is concerned with the inverse problem of scattering of time-harmonic acoustic waves from a penetrable and buried obstacles. By introducing a related transmission scattering problem, a Newton iteration method is proposed to simultaneously reconstruct ... More

Spatial-Spectral Boosting Analysis for Stroke Patients' Motor Imagery EEG in Rehabilitation TrainingOct 23 2013Current studies about motor imagery based rehabilitation training systems for stroke subjects lack an appropriate analytic method, which can achieve a considerable classification accuracy, at the same time detects gradual changes of imagery patterns during ... More

Some results on pointwise second-order necessary conditions for stochastic optimal controlsMay 28 2014The purpose of this paper is to derive some pointwise second-order necessary conditions for stochastic optimal controls in the general case that the control variable enters into both the drift and the diffusion terms. When the control region is convex, ... More

Molecular dynamics studies on the NMR and X-ray structures of rabbit prion protein wild-type and mutantsApr 29 2013Aug 26 2013Prion diseases are invariably fatal and highly infectious neurodegenerative diseases that affect a wide variety of mammalian species such as sheep, goats, mice, humans, chimpanzees, hamsters, cattle, elks, deer, minks, cats, chicken, pigs, turtles, etc. ... More

Visual Understanding via Multi-Feature Shared Learning with Global ConsistencyMay 20 2015Sep 09 2015Image/video data is usually represented with multiple visual features. Fusion of multi-source information for establishing the attributes has been widely recognized. Multi-feature visual recognition has recently received much attention in multimedia applications. ... More

Evolutionary Cost-sensitive Extreme Learning MachineMay 17 2015Sep 22 2016Conventional extreme learning machines solve a Moore-Penrose generalized inverse of hidden layer activated matrix and analytically determine the output weights to achieve generalized performance, by assuming the same loss from different types of misclassification. ... More

Robust Visual Knowledge Transfer via EDAMay 17 2015Aug 09 2016We address the problem of visual knowledge adaptation by leveraging labeled patterns from source domain and a very limited number of labeled instances in target domain to learn a robust classifier for visual categorization. This paper proposes a new extreme ... More

An Improved Cooperative Repair Scheme for Reed-Solomon CodesJan 10 2019Dau et al. recently extend Guruswami and Wootters' scheme (STOC'2016) to cooperatively repair two or three erasures in Reed-Solomon (RS) codes. However, their scheme restricts to either the case that the characteristic of $F$ divides the extension degree ... More

Scalar MSCR Codes via the Product Matrix ConstructionOct 10 2018An $(n,k,d)$ cooperative regenerating code provides the optimal-bandwidth repair for any $t~(t\!>\!1)$ node failures in a cooperative way. In particular, an MSCR (minimum storage cooperative regenerating) code retains the same storage overhead as an $(n,k)$ ... More

Effective Hamiltonians for quasi-one-dimensional Fermi gases with spin-orbit couplingAug 21 2013We derive one-dimensional effective Hamiltonians for spin-orbit coupled Fermi gases confined in quasi-one-dimensional trapping potentials. For energy regime around the two-body bound state energy, the effective Hamiltonian takes a two-channel form, where ... More

Constructing entire functions with non-locally connected Julia set by quasiconformal surgeryJul 18 2017Jun 01 2018We give an alternative way to construct an entire function with quasiconformal surgery so that all its Fatou components are quasi-circles but the Julia set is non-locally connected.

Quantum Limited DPSK Receivers with Optical Mach-Zehnder Interferometer DemodulationOct 12 2004We present an analysis of quantum-limited DPSK receivers with optical Mach-Zehnder interferometer (MZI) demodulation. It is shown for the first time that the quantum limits for DPSK/MZI receivers with single-port and balanced detections exactly differ ... More

Persistent Skyrmion Lattice of Non-Interacting Electrons in Spin-Orbit Coupled Double WellsJul 03 2015A persistent spin helix (PSH) is a robust helical spin-density pattern arising in disordered 2D electron gases with Rashba $\alpha$ and Dresselhaus $\beta$ spin-orbit (SO) tuned couplings, i.e., $\alpha=\pm\beta$. Here we investigate the emergence of ... More

Persistent Skyrmion Lattice of Noninteracting Electrons with Spin-Orbit CouplingJul 03 2015Nov 23 2016A persistent spin helix (PSH) is a robust helical spin-density pattern arising in disordered 2D electron gases with Rashba $\alpha$ and Dresselhaus $\beta$ spin-orbit (SO) tuned couplings, i.e., $\alpha=\pm\beta$. Here we investigate the emergence of ... More

Faithful measure of Quantum non-Gaussianity via quantum relative entropySep 09 2018We introduce a measure of quantum non-Gaussianity (QNG) for those states not accessible by a mixture of Gaussian states in terms of quantum relative entropy. Specifically, we employ a convex-roof extension using all possible mixed-state decompositions ... More

ReBe2B5O11 (Re = Y, Gd)- A Series of Rare Earth Beryllium Borates as Deep-Ultraviolet Nonlinear Optical MaterialsAug 24 2013Aug 30 2013The rapid developments of the deep-ultraviolet (deep-UV) laser science and technology urgently demand the nonlinear optical crystals which have large band gap enough to transmit the deep-UV light. Herein, we synthesized a series of new rare earth beryllium ... More

Interatomic collisions in two-dimensional and quasi-two-dimensional confinements with spin-orbit couplingMar 03 2012Oct 28 2012We investigate the low-energy scattering and bound states of two two-component fermionic atoms in pure two-dimensional (2D) and quasi-2D confinements with Rashba spin-orbit coupling (SOC). We find that the SOC qualitatively changes the behavior of the ... More

ABS: an Analytical method of Blind Separation of CMB from foregroundsAug 12 2016Jan 08 2019Extracting CMB B-mode polarization from complicated foregrounds is a challenging task in searching for inflationary gravitational waves. We propose the ABS method as a blind and analytical solution to this problem. It applies to the measured cross bandpower ... More

Higgs bundles over non-compact Gauduchon manifoldsApr 24 2018In this paper, we prove a generalized Donaldson-Uhlenbeck-Yau theorem on Higgs bundles over a class of non-compact Gauduchon manifolds.

Disjunctive Logic Programs versus Normal Logic ProgramsApr 02 2013This paper focuses on the expressive power of disjunctive and normal logic programs under the stable model semantics over finite, infinite, or arbitrary structures. A translation from disjunctive logic programs into normal logic programs is proposed and ... More