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Long-time asymptotic for the derivative nonlinear Schrödinger equation with step-like initial valueApr 17 2013We consider the Cauchy problem for the Gerdjikov-Ivanov(GI) type of the derivative nonlinear Schr\"odinger (DNLS) equation: $$iq_t+q_{xx}-iq^2\bar{q}_x+\frac{1}{2}|q|^4{q}=0.$$ with steplike initial data: $q(x,0)=0$ for $x\le 0$ and $q(x,0)=Ae^{-2iBx}$ ... More

The GLM representation of the global relation for the two-component nonlinear Schrödinger equation on the intervalDec 20 2015In a previous work, we show that the solution of the initial-boundary value problem for the two-component nonlinear Schr\"odinger equation on the finite interval can be expressed in terms of the solution of a $3\times 3$ Riemann-Hilbert problem. The relevant ... More

The unified method for the three-wave equation on the half-lineApr 16 2013Apr 27 2013We present a Riemann-Hilbert problem formalism for the initial-boundary value problem for the three-wave equation: \[p_{ij,t}-\frac{b_i-b_j}{a_i-a_j}p_{ij,x}+\sum_k(\frac{b_k-b_j}{a_k-a_j}-\frac{b_i-b_k}{a_i-a_k})p_{ik}p_{kj}=0,\quad i,j,k=1,2,3.\] on ... More

Long-time asymptotic for the derivative nonlinear Schrödinger equation with decaying initial valueSep 19 2012Nov 26 2012We present a new Riemann-Hilbert problem formalism for the initial value problem for the derivative nonlinear Schr\"odinger (DNLS) equation on the line. We show that the solution of this initial value problem can be obtained from the solution of some ... More

Poly-logarithmic localization for random walks among random obstaclesMar 20 2017Jul 21 2018Place an obstacle with probability $1-p$ independently at each vertex of $\mathbb Z^d$, and run a simple random walk until hitting one of the obstacles. For $d\geq 2$ and $p$ strictly above the critical threshold for site percolation, we condition on ... More

The derivative nonlinear Schrodinger equation on the intervalMay 07 2012We use the Fokas method to analyze the derivative nonlinear Schr\"odinger (DNLS) equation $iq_t(x,t)=-q_{xx}(x,t)+(r q^2)_x$ on the interval $[0,L]$. Assuming that the solution $q(x,t)$ exists, we show that it can be represented in terms of the solution ... More

Long-time asymptotic behavior for the complex short pulse equationDec 21 2017In this paper, we consider the initial value problem for the complex short pulse equation with a Wadati-Konno-Ichikawa type Lax pair. We show that the solution to the initial value problem has a parametric expression in terms of the solution of $2\times ... More

The Ostrovsky-Vakhnenko equation on the half-line: a Riemann-Hilbert approachAug 30 2015We analyze an initial-boundary value problem for the Ostrovsky-Vakhnenko equation on the half-line. This equation can be viewed as the short wave model for the Degasperis-Procesi (DP) equation. We show that the solution u(x,t) can be recovered from its ... More

Initial-boundary value problem for integrable nonlinear evolution equations with $3\times 3$ Lax pairs on the intervalSep 09 2015We present an approach for analyzing initial-boundary value problems which is formulated on the finite interval ($0\le x\le L$, where $L$ is a positive constant) for integrable equations whose Lax pairs involve $3\times 3$ matrices. Boundary value problems ... More

The Fokas method to the Sasa-Satsuma equation on the half-lineApr 16 2013We present a Riemann-Hilbert problem formalism for the initial-boundary value problem for the Sasa-Satsuma(SS) equation: $iq_T+\frac{1}{2}q_{XX}+|q|^2q+i\eps (q_{XXX}+6|q|^2q_X+3q(|q|^2)_X)=0$ on the half-line. And we also analysis the global relation ... More

Localization for random walks among random obstacles in a single Euclidean ballJul 21 2018Nov 02 2018Place an obstacle with probability $1-p$ independently at each vertex of $\mathbb Z^d$, and run a simple random walk until hitting one of the obstacles. For $d\geq 2$ and $p$ strictly above the critical threshold for site percolation, we condition on ... More

Leading-order temporal asymptotics of the Fokas-Lenells Equation without solitonsAug 03 2013We use the Deift-Zhou method to obtain, in the solitonless sector, the leading order asymptotic of the solution to the Cauchy problem of the Fokas-Lenells equation as $t\ra+\infty$ on the full-line.

Interacting Topological Insulators with Synthetic DimensionsApr 10 2018Recent developments of experimental techniques have given us unprecedented opportunities of studying topological insulators in high dimensions, while some of the dimensions are "synthetic", in the sense that the effective lattice momenta along these synthetic ... More

Guarantees of Total Variation Minimization for Signal RecoveryJan 28 2013Oct 11 2013In this paper, we consider using total variation minimization to recover signals whose gradients have a sparse support, from a small number of measurements. We establish the proof for the performance guarantee of total variation (TV) minimization in recovering ... More

Moire Insulators viewed as the Surface of three dimensional Symmetry Protected Topological PhasesOct 08 2018Oct 11 2018Recently, correlated physics such as superconductivity and insulator at commensurate fractional electron fillings has been discovered in several different systems with Moire superlattice and narrow electron bands near charge neutrality. Before we learn ... More

Colocated MIMO Radar Waveform Design for Transmit Beampattern FormationMay 05 2015In this paper, colocated MIMO radar waveform design is considered by minimizing the integrated side-lobe level to obtain beam patterns with lower side-lobe levels than competing methods. First, a quadratic programming problem is formulated to design beam ... More

The unified transform method for the Sasa-Satsuma equation on the intervalDec 21 2015We present a Riemann-Hilbert problem formalism for the initial-boundary value problem for the Sasa-Satsuma(SS) equation on the finite interval. Assume that the solution existes, we show that this solution can be expressed in terms of the solution of a ... More

Projected Wirtinger Gradient Descent for Low-Rank Hankel Matrix Completion in Spectral Compressed SensingJul 14 2015This paper considers reconstructing a spectrally sparse signal from a small number of randomly observed time-domain samples. The signal of interest is a linear combination of complex sinusoids at $R$ distinct frequencies. The frequencies can assume any ... More

Link prediction based on path entropyDec 20 2015Information theory has been taken as a prospective tool for quantifying the complexity of complex networks. In this paper, we first study the information entropy or uncertainty of a path using the information theory. Then we apply the path entropy to ... More

Waiting Time Distribution of Quantum Electronic Transport in Transient RegimeMar 06 2014May 20 2014Waiting time is an important transport quantity that is complementary to average current and its fluctuation. So far all the studies of waiting time distribution (WTD) are limited to steady state transport (either dc or ac). In this work, we present a ... More

Numerical methods for nonlinear Dirac equationDec 23 2012Mar 21 2013This paper presents a review of the current state-of-the-art of numerical methods for nonlinear Dirac (NLD) equation. Several methods are extendedly proposed for the (1+1)-dimensional NLD equation with the scalar and vector self-interaction and analyzed ... More

Long-time asymptotics for the Nonlocal mKdV equationApr 29 2018In this paper, we study the Cauchy problem with decaying initial data for the nonlocal modified Korteweg-de Vries equation (nonlocal mKdV) \[q_t(x,t)+q_{xxx}(x,t)-6q(x,t)q(-x,-t)q_x(x,t)=0,\] which can be viewed as a generalization of the local classical ... More

Initial-boundary value problem for the two-component Gerdjikov-Ivanov equation on the intervalSep 09 2017In this paper, we apply Fokas unified method to study initial-boundary value problems for the two-component Gerdjikov-Ivanov equation formulated on the finite interval with $3 \times 3$ Lax pairs. The solution can be expressed in terms of the solution ... More

Reduced fidelity susceptibility in the one-dimensional transverse field Ising modelAug 13 2008We study critical behaviors of the reduced fidelity susceptibility for two neighboring sites in the one-dimensional transverse field Ising model. It is found that the divergent behaviors of the susceptibility take the form of square of logarithm, in contrast ... More

Lieb-Schultz-Mattis Theorem and its generalizations from the Perspective of the Symmetry Protected Topological phaseApr 28 2017We ask whether a local Hamiltonian with a featureless (fully gapped and nondegenerate) ground state could exist in certain quantum spin systems. We address this question by mapping the vicinity of certain quantum critical point (or gapless phase) of the ... More

Stochastic Variance Reduction for Policy Gradient EstimationOct 17 2017Mar 29 2018Recent advances in policy gradient methods and deep learning have demonstrated their applicability for complex reinforcement learning problems. However, the variance of the performance gradient estimates obtained from the simulation is often excessive, ... More

Phase Transitions in Knowledge Compilation: an Experimental StudyApr 05 2011Jun 03 2011Phase transitions in many complex combinational problems have been widely studied in the past decade. In this paper, we investigate phase transitions in the knowledge compilation empirically, where DFA, OBDD and d-DNNF are chosen as the target languages ... More

Fractional stochastic wave equation driven by a Gaussian noise rough in spaceApr 22 2019In this article, we consider fractional stochastic wave equations on $\mathbb R$ driven by a multiplicative Gaussian noise which is white/colored in time and has the covariance of a fractional Brownian motion with Hurst parameter $H\in(\frac14, \frac12)$ ... More

Learning through deterministic assignment of hidden parametersMar 22 2018Sep 13 2018Supervised learning frequently boils down to determining hidden and bright parameters in a parameterized hypothesis space based on finite input-output samples. The hidden parameters determine the attributions of hidden predictors or the nonlinear mechanism ... More

Valley Seebeck effect in gate tunable zigzag graphene nanoribbonsJan 06 2017We propose, for the first time, a valley Seebeck effect in gate tunable zigzag graphene nanoribbons as a result of the interplay between thermal gradient and valleytronics. A pure valley current is further generated by the thermal gradient as well as ... More

Role of defects and geometry in the strength of polycrystalline grapheneFeb 05 2014Defects in solid commonly limit mechanical performance of the material. However, recent measurements reported that the extraordinarily high strength of graphene is almost retained with the presence of grain boundaries. We clarify in this work that lattice ... More

Large n-limit for Random matrices with External Source with 3 eigenvaluesAug 30 2015In this paper, we analyze the large n-limit for random matrix with external source with three distinct eigenvalues. And we confine ourselves in the Hermite case and the three distinct eigenvalues are $-a,0,a$. For the case $a^2>3$, we establish the universal ... More

Automatic Detection of Significant Areas for Functional Data with Directional Error ControlApr 30 2015To detect differences between the mean curves of two samples in longitudinal study or functional data analysis, we usually need to partition the temporal or spatial domain into several pre-determined sub-areas. In this paper we apply the idea of large-scale ... More

Speeding Up Latent Variable Gaussian Graphical Model Estimation via Nonconvex OptimizationsFeb 28 2017We study the estimation of the latent variable Gaussian graphical model (LVGGM), where the precision matrix is the superposition of a sparse matrix and a low-rank matrix. In order to speed up the estimation of the sparse plus low-rank components, we propose ... More

Learning and approximation capability of orthogonal super greedy algorithmSep 18 2014We consider the approximation capability of orthogonal super greedy algorithms (OSGA) and its applications in supervised learning. OSGA is concerned with selecting more than one atoms in each iteration step, which, of course, greatly reduces the computational ... More

Low Power SI Class E Power Amplifier and RF Switch For Health CareJan 06 2017This research was to design a 2.4 GHz class E Power Amplifier (PA) for health care, with 0.18um Semiconductor Manufacturing International Corporation CMOS technology by using Cadence software. And also RF switch was designed at cadence software with power ... More

HyperAdam: A Learnable Task-Adaptive Adam for Network TrainingNov 22 2018Deep neural networks are traditionally trained using human-designed stochastic optimization algorithms, such as SGD and Adam. Recently, the approach of learning to optimize network parameters has emerged as a promising research topic. However, these learned ... More

A PTAS for a Class of Stochastic Dynamic ProgramsMay 20 2018We develop a framework for obtaining polynomial time approximation schemes (PTAS) for a class of stochastic dynamic programs. Using our framework, we obtain the first PTAS for the following stochastic combinatorial optimization problems: \probemax: We ... More

A model for continuous thermal Metal to Insulator TransitionMar 22 2017We propose a $d-$dimensional interacting Majorana fermion model with quenched disorder, which gives us a continuous quantum phase transition between a diffusive thermal metal phase with a finite entropy density to an insulator phase with zero entropy ... More

Large Scale 2D Spectral Compressed Sensing in Continuous DomainMar 02 2019We consider the problem of spectral compressed sensing in continuous domain, which aims to recover a 2-dimensional spectrally sparse signal from partially observed time samples. The signal is assumed to be a superposition of s complex sinusoids. We propose ... More

Holographic fermionic spectrum with Weyl correctionFeb 25 2018We study the ferminoic spectrum with Weyl correction, which exhibits the non-Fermi liquid behavior. Also, we find that both the height of the peak of the fermionic spectrum and the dispersion relation exhibit a nonlinearity with the variety of the Weyl ... More

A Calibration Method for Wide Field Multicolor Photometric SystemMar 04 1999Mar 07 1999The purpose of this paper is to present a method to self-calibrate the spectral energy distribution (SED) of objects in a survey based on the fitting of an SED library to the observed multi-color photometry. We adopt for illustrative purposes the Vilnius ... More

Interferometric detection of Chern numbers in topological optical latticesOct 16 2014Aug 13 2015Topological states of matter emergent as a new type of quantum phases, which can be distinguished by their associated topological invariants, e.g., Chern numbers. Currently, there is increasing in-terests toward the physically detection of the new predicted ... More

Learning rates of $l^q$ coefficient regularization learning with Gaussian kernelDec 19 2013Sep 25 2014Regularization is a well recognized powerful strategy to improve the performance of a learning machine and $l^q$ regularization schemes with $0<q<\infty$ are central in use. It is known that different $q$ leads to different properties of the deduced estimators, ... More

On the sizes of $k$-edge-maximal $r$-uniform hypergraphsFeb 24 2018Jul 17 2018Let $H=(V,E)$ be a hypergraph, where $V$ is a set of vertices and $E$ is a set of non-empty subsets of $V$ called edges. If all edges of $H$ have the same cardinality $r$, then $H$ is a $r$-uniform hypergraph; if $E$ consists of all $r$-subsets of $V$, ... More

Nonseparating trees in 2-connected graphs and oriented trees in strongly connected digraphsOct 05 2017Oct 08 2017Mader [J. Graph Theory 65 (2010) 61-69] conjectured that for every positive integer $k$ and every finite tree $T$ with order $m$, every $k$-connected, finite graph $G$ with $\delta(G)\geq \lfloor\frac{3}{2}k\rfloor+m-1$ contains a subtree $T'$ isomorphic ... More

Discriminative Block-Diagonal Representation Learning for Image RecognitionJul 12 2017Existing block-diagonal representation researches mainly focuses on casting block-diagonal regularization on training data, while only little attention is dedicated to concurrently learning both block-diagonal representations of training and test data. ... More

A survey of sparse representation: algorithms and applicationsFeb 23 2016Sparse representation has attracted much attention from researchers in fields of signal processing, image processing, computer vision and pattern recognition. Sparse representation also has a good reputation in both theoretical research and practical ... More

Hidden Hamiltonian Cycle Recovery via Linear ProgrammingApr 15 2018We introduce the problem of hidden Hamiltonian cycle recovery, where there is an unknown Hamiltonian cycle in an $n$-vertex complete graph that needs to be inferred from noisy edge measurements. The measurements are independent and distributed according ... More

Sliding Z Transform: Applications to convolutive blind source separationAug 08 2018The Z Transform is a mathematical operation in signal processing, which gives a tractable way to solve linear, constant-coefficient difference equations. Based on the classical Z transform and inspired by the thought of sliding DFT, a new definition of ... More

Order parameter analysis of synchronization transitions on star networksJan 10 2017Collective behaviors of populations of coupled oscillators have attracted much attention in recent years. In this paper, an order parameter approach is proposed to study the low-dimensional dynam- ical mechanism of collective synchronizations by adopting ... More

Theoretical study on nuclear structure by the multiple Coulomb scattering and magnetic scattering of relativistic electronsJan 26 2016Electron scattering is an effective method to study the nuclear structure. For the odd-$A$ nuclei with proton holes in the outmost orbits, we investigate the contributions of proton holes to the nuclear quadrupole moments $Q$ and magnetic moments $\mu$ ... More

Order parameter analysis for low-dimensional behaviors of coupled phase-oscillatorsAug 01 2015Sep 16 2015Coupled phase-oscillators are important models related to synchronization. Recently, Ott-Antonsen(OA) ansatz is developed and used to get low-dimensional collective behaviors in coupled oscillator systems. In this paper, we develop a simple and concise ... More

Context-Dependent Diffusion Network for Visual Relationship DetectionSep 11 2018Visual relationship detection can bridge the gap between computer vision and natural language for scene understanding of images. Different from pure object recognition tasks, the relation triplets of subject-predicate-object lie on an extreme diversity ... 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

Atomic Design of Three-Dimensional Photonic $Z_2$ Dirac and Weyl PointsJan 10 2016Jan 26 2016Topological nodal points such as Dirac and Weyl points in photonic spectrum, as monopoles of the synthetic gauge fields in ${\vec k}$-space, offer unique abilities of manipulating light. However, designing topological nodal points in photonic crystals ... More

Long-time asymptotics for the short pulse equationAug 10 2016In this paper, we analyze the long-time behavior of the solution of the initial value problem (IVP) for the short pulse (SP) equation. As the SP equation is a complete integrable system, which posses a Wadati-Konno-Ichikawa (WKI)-type Lax pair, we formulate ... More

Fast Compressed Sensing SAR Imaging based on Approximated ObservationJan 09 2013In recent years, compressed sensing (CS) has been applied in the field of synthetic aperture radar (SAR) imaging and shows great potential. The existing models are, however, based on application of the sensing matrix acquired by the exact observation ... More

Spectral and Energy Efficiency of Multi-pair Massive MIMO Relay Network with Hybrid ProcessingJun 21 2017Jun 25 2017We consider a multi-pair massive multiple-input multiple-output (MIMO) relay network, where the relay is equipped with a large number, N, of antennas, but driven by a far smaller number, L, of radio frequency (RF) chains. We assume that K pairs of users ... More

Latent Dirichlet Allocation in Generative Adversarial NetworksDec 17 2018Dec 28 2018Mode collapse is one of the key challenges in the training of Generative Adversarial Networks(GANs). Previous approaches have tried to address this challenge either by changing the loss of GANs, or by modifying optimization strategies. We argue that it ... More

Quantum spatial-periodic harmonic model for daily price-limited stock marketsMay 18 2014We investigate the behavior of stocks in daily price-limited stock markets by purposing a quantum spatial-periodic harmonic model. The stock price is presumed to oscillate and damp in a quantum spatial-periodic harmonic oscillator potential well. Complicated ... More

Robust recovery of complex exponential signals from random Gaussian projections via low rank Hankel matrix reconstructionMar 10 2015This paper explores robust recovery of a superposition of $R$ distinct complex exponential functions from a few random Gaussian projections. We assume that the signal of interest is of $2N-1$ dimensional and $R<<2N-1$. This framework covers a large class ... More

MemNet: A Persistent Memory Network for Image RestorationAug 07 2017Recently, very deep convolutional neural networks (CNNs) have been attracting considerable attention in image restoration. However, as the depth grows, the long-term dependency problem is rarely realized for these very deep models, which results in the ... More

Is Extreme Learning Machine Feasible? A Theoretical Assessment (Part II)Jan 24 2014An extreme learning machine (ELM) can be regarded as a two stage feed-forward neural network (FNN) learning system which randomly assigns the connections with and within hidden neurons in the first stage and tunes the connections with output neurons in ... More

Efficient random graph matching via degree profilesNov 19 2018Random graph matching refers to recovering the underlying vertex correspondence between two random graphs with correlated edges; a prominent example is when the two random graphs are given by Erd\H{o}s-R\'{e}nyi graphs $G(n,\frac{d}{n})$. This can be ... More

Saec: Similarity-Aware Embedding Compression in Recommendation SystemsFeb 26 2019Production recommendation systems rely on embedding methods to represent various features. An impeding challenge in practice is that the large embedding matrix incurs substantial memory footprint in serving as the number of features grows over time. We ... More

Two-dimensional array of multicolored upconverted parametric amplificationFeb 22 2005Oct 29 2005This paper has been withdrawn by the authors

Improved Four-state Continuous-variable Quantum Key Distribution with Long Secure DistanceFeb 04 2012The four-state continuous-variable quantum key distribution (CVQKD) protocol has a long practical secure distance \cite{Leverrier_PRL_2009}, while it has the difficulty of parameter estimation. We propose an improved four-state protocol, where the covariance ... More

Vaccination intervention on epidemic dynamics in networksFeb 25 2013Vaccination is an important measure available for preventing or reducing the spread of infectious diseases. In this paper, an epidemic model including susceptible, infected, and imperfectly vaccinated compartments is studied on Watts-Strogatz small-world, ... More

Simultaneous analysis of three-dimensional percolation modelsOct 21 2013Oct 31 2013We simulate the bond and site percolation models on several three-dimensional lattices, including the diamond, body-centered cubic, and face-centered cubic lattices. As on the simple-cubic lattice [Phys. Rev. E, \textbf{87} 052107 (2013)], it is observed ... More

Digitize Your Body and Action in 3-D at Over 10 FPS: Real Time Dense Voxel Reconstruction and Marker-less Motion Tracking via GPU AccelerationNov 26 2013In this paper, we present an approach to reconstruct 3-D human motion from multi-cameras and track human skeleton using the reconstructed human 3-D point (voxel) cloud. We use an improved and more robust algorithm, probabilistic shape from silhouette ... More

Reduced fidelity susceptibility and its finite-size scaling behaviorsMay 27 2008We derive a general formula of the reduced fidelity susceptibility when the reduced density matrix is $2\times2$ block-diagonal. By using this result and the continuous unitary transformations, we study finite-size scaling of the reduced fidelity susceptibility ... More

Spin-resolved electron waiting times in a quantum dot spin valveDec 01 2017Feb 09 2018We study the electronic waiting time distributions (WTDs) in a non-interacting quantum dot spin valve by varying spin polarization and the noncollinear angle between the magnetizations of the leads using scattering matrix approach. Since the quantum dot ... More

Explosive or Continuous: Incoherent state determines the route to synchronizationMar 31 2014Dec 05 2014Collective behaviors of coupled oscillators have attracted much attention. In this Letter, we propose an ensemble order parameter(EOP) equation that enables us to grasp the essential low-dimensional dynamical mechanism of the explosive synchronization ... More

Lattice models for Non-Fermi Liquids with Tunable Transport ScalingsFeb 26 2019A variety of exotic non-fermi liquid (NFL) states have been observed in many condensed matter systems, with different scaling relations between transport coefficients and temperature. The "standard" approach to studying these NFLs is by coupling a Fermi ... More

Coupled Wire description of the Correlated Physics in Twisted Bilayer GrapheneNov 20 2018Apr 10 2019Since the discovery of superconductivity and correlated insulator at fractional electron fillings in the twisted bilayer graphene, most theoretical efforts have been focused on describing this system in terms of an effective extended Hubbard model. However, ... More

CoMID: Context-based Multi-Invariant Detection for Monitoring Cyber-Physical SoftwareJul 06 2018Cyber-physical software continually interacts with its physical environment for adaptation in order to deliver smart services. However, the interactions can be subject to various errors when the software's assumption on its environment no longer holds, ... More

Thermodynamics of SU(2) bosons in one dimensionNov 07 2001Jan 07 2002On the basis of Bethe ansatz solution of two-component bosons with SU(2) symmetry and $\delta$-function interaction in one dimension, we study the thermodynamics of the system at finite temperature by using the strategy of thermodynamic Bethe ansatz (TBA). ... More

A note on one-dimensional time fractional ODEsDec 24 2017Apr 01 2018In this note, we prove or re-prove several important results regarding one dimensional time fractional ODEs following our previous work \cite{fllx17}. Here we use the definition of Caputo derivative proposed in \cite{liliu17frac1,liliu2017} based on a ... More

Locally Adaptive Learning Loss for Semantic Image SegmentationFeb 23 2018Apr 16 2018We propose a novel locally adaptive learning estimator for enhancing the inter- and intra- discriminative capabilities of Deep Neural Networks, which can be used as improved loss layer for semantic image segmentation tasks. Most loss layers compute pixel-wise ... More

Magnetized Gas Collimation of Interstellar Outflow Scaled by Laser-produced PlasmaMay 20 2019Young stellar objects/planetary nebula outflow anisotropies usually involve wind-wind interactions and magnetic collimation, but detailed structures of wind and magnetic fields inside collimation region remain undetermined. We numerically investigated ... More

Efficient construction of threshold networks of stock marketsMar 06 2018Aug 24 2018Although the threshold network is one of the most used tools to characterize the underlying structure of a stock market, the identification of the optimal threshold to construct a reliable stock network remains challenging. In this paper, the concept ... More

The Duality in Quantum WorkMar 04 2019Mar 25 2019An open question of fundamental importance in thermodynamics is how to describe the statistics of work for the initial state with quantum coherence. In this Letter, work statistics is considered in a fully new perspective of "wave-particle" duality. Based ... More

Dilepton flow and deconfinement phase transition in heavy ion collisionsSep 16 2010Jul 25 2011The dilepton radial flow in Au+Au collisions at \sqrt{s_{NN}}=200 GeV is investigated. The space-time evolution of the fireball is described by a 2+1 dimensional ideal hydrodynamics with a variety of equations of state. The slope parameters of the transverse ... More

New Differential Formulae Related to Hermite Polynomials and their Applications in Quantum OpticsJan 26 2015In this work, based on quantum operator Hermite polynomials and Weyl's mapping rule, we find a generation function of the two-variable Hermite polynomials. And then, noting that the Weyl ordering is invariant under the similar transformations, we obtain ... More

Bermuda: Bidirectional de novo assembly of transcripts with new insights for handling uneven coverageJun 18 2015Motivation: RNA-seq has made feasible the analysis of a whole set of expressed mRNAs. Mapping-based assembly of RNA-seq reads sometimes is infeasible due to lack of high-quality references. However, de novo assembly is very challenging due to uneven expression ... More

Protein secondary structure prediction using deep convolutional neural fieldsDec 02 2015Dec 11 2015Protein secondary structure (SS) prediction is important for studying protein structure and function. When only the sequence (profile) information is used as input feature, currently the best predictors can obtain ~80% Q3 accuracy, which has not been ... More

GraphVite: A High-Performance CPU-GPU Hybrid System for Node EmbeddingMar 02 2019Learning continuous representations of nodes is attracting growing interest in both academia and industry recently, due to their simplicity and effectiveness in a variety of applications. Most of existing node embedding algorithms and systems are capable ... More

Emergent Symmetry and Tricritical Points near the deconfined Quantum Critical PointAug 10 2017Recent proposal of the duality between the $N=2$ noncompact QED$_3$ and the easy-plane noncompact CP$^1$ (NCCP$^1$) model suggests that the deconfined quantum critical point (dQCP) between the easy-plane antiferromagnet and the VBS order on the square ... More

Factorized Adversarial Networks for Unsupervised Domain AdaptationJun 04 2018In this paper, we propose Factorized Adversarial Networks (FAN) to solve unsupervised domain adaptation problems for image classification tasks. Our networks map the data distribution into a latent feature space, which is factorized into a domain-specific ... More

Ensemble order parameter equations in star networkAug 01 2015The OA ansatz has attracted much attention recently, infinite-dimensional Kuramoto model could collapses to a two-dimensional system of order differential equations with it. In this paper, we propose the ensemble order parameter (EOP) equations to describe ... More

Holographic response from higher derivatives with homogeneous disorderMay 18 2017In this letter, we study the charge response from higher derivatives over the background with homogeneous disorder introduced by axions. We first explore the bounds on the higher derivatives coupling from DC conductivity and the anomalies of causality ... More

Precise Phase Transition of Total Variation MinimizationSep 15 2015Characterizing the phase transitions of convex optimizations in recovering structured signals or data is of central importance in compressed sensing, machine learning and statistics. The phase transitions of many convex optimization signal recovery methods ... More

Connectivity keeping stars or double-stars in 2-connected graphsJul 04 2017Jul 24 2017In [W. Mader, Connectivity keeping paths in $k$-connected graphs, J. Graph Theory 65 (2010) 61-69.], Mader conjectured that for every positive integer $k$ and every finite tree $T$ with order $m$, every $k$-connected, finite graph $G$ with $\delta(G)\geq ... More

On the sizes of $(k,l)$-edge-maximal $r$-uniform hypergraphsMay 28 2018Jul 20 2018Let $H=(V,E)$ be a hypergraph, where $V$ is a set of vertices and $E$ is a set of non-empty subsets of $V$ called edges. If all edges of $H$ have the same cardinality $r$, then $H$ is a $r$-uniform hypergraph; if $E$ consists of all $r$-subsets of $V$, ... More

Geometry of the random walk range conditioned on survival among Bernoulli obstaclesJun 21 2018We consider a discrete time simple symmetric random walk among Bernoulli obstacles on $\mathbb{Z}^d$, $d\geq 2$, where the walk is killed when it hits an obstacle. It is known that conditioned on survival up to time $N$, the random walk range is asymptotically ... More

$\left( β, \varpi \right)$-stability for cross-validation and the choice of the number of foldsMay 20 2017Jul 06 2017In this paper, we introduce a new concept of stability for cross-validation, called the $\left( \beta, \varpi \right)$-stability, and use it as a new perspective to build the general theory for cross-validation. The $\left( \beta, \varpi \right)$-stability ... More

Economic Dispatch Considering Spatial and Temporal Correlations of Multiple Renewable Power PlantsJul 02 2017The correlations of multiple renewable power plants (RPPs) should be fully considered in the power system with very high penetration renewable power integration. This paper models the uncertainties, spatial correlation of multiple RPPs based on Copula ... More

Learning Latent Features with Pairwise Penalties in Matrix CompletionFeb 16 2018Low-rank matrix completion (MC) has achieved great success in many real-world data applications. A latent feature model formulation is usually employed and, to improve prediction performance, the similarities between latent variables can be exploited ... More