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Energy conservation for the weak solutions of the compressible Navier-Stokes equationsMay 02 2016In this paper, we prove the energy conservation for the weak solutions of the compressible Navier-Stokes equations for any time $t>0$, under certain conditions. The results hold for the renormalized solutions of the equations with constant viscosities, ... More

Hybrid multilane models for highway trafficAug 10 2018We study effects of lane changing rules on multilane highway traffic using the Nagel-Schreckenberg cellular automaton model with different schemes for combining driving lanes (lanes used by default) and overtaking lanes. Three schemes are considered: ... More

A cost-effective shuffling method against DDoS attacks using Moving Target DefenseMar 25 2019Apr 01 2019Moving Target Defense(MTD) has emerged as a good solution to alter the asymmetric situation of attacks and defenses, shuffling-based moving target defense has been regarded as one of the most effective ways to mitigate DDoS attacks. However, previous ... More

How can newly born rapidly rotating neutron stars become magnetars?Apr 29 2014In a newly born (high-temperature and Keplerian rotating) neutron star, r-mode instability can lead to stellar differential rotation, which winds the seed poloidal magnetic field ($\sim 10^{11}$ G) to generate an ultra-high ($\sim 10^{17}$ G) toroidal ... More

Finite-size scaling of the entanglement entropy of the quantum Ising chain with homogeneous, periodically modulated and random couplingsMar 25 2008Jun 06 2008Using free-fermionic techniques we study the entanglement entropy of a block of contiguous spins in a large finite quantum Ising chain in a transverse field, with couplings of different types: homogeneous, periodically modulated and random. We carry out ... More

An Efficient Network Intrusion Detection System Based on Feature Selection and Ensemble ClassifierApr 02 2019Since Internet is so popular and prevailing in human life, countering cyber threats, especially attack detection, is a challenging area of research in the field of cyber security. Intrusion detection systems (IDSs) are essential entities in a network ... More

Holographic Turbulence in Einstein-Gauss-Bonnet Gravity at Large $D$Apr 14 2018We study the holographic hydrodynamics in the Einstein-Gauss-Bonnet(EGB) gravity in the framework of the large $D$ expansion. We find that the large $D$ EGB equations can be interpreted as the hydrodynamic equations describing the conformal fluid. These ... More

Exploiting Contextual Information via Dynamic Memory Network for Event DetectionOct 03 2018The task of event detection involves identifying and categorizing event triggers. Contextual information has been shown effective on the task. However, existing methods which utilize contextual information only process the context once. We argue that ... More

Analyses of celestial pole offsets with VLBI, LLR, and optical observationsMay 14 2019This work aims to explore the possibilities of determining the long-period part of the precession-nutation of the Earth with techniques other than very long baseline interferometry (VLBI). Lunar laser ranging (LLR) is chosen for its relatively high accuracy ... More

Entanglement entropy with localized and extended interface defectsMar 23 2009The quantum Ising chain of length, L, which is separated into two parts by localized or extended defects is considered at the critical point where scaling of the interface magnetization is non-universal. We measure the entanglement entropy between the ... More

Strong Griffiths singularities in random systems and their relation to extreme value statisticsFeb 03 2006We consider interacting many particle systems with quenched disorder having strong Griffiths singularities, which are characterized by the dynamical exponent, z, such as random quantum systems and exclusion processes. In several d=1 and d=2 dimensional ... More

A generalization of d'Alembert formulaSep 21 2007In this paper we find a closed form of the solution for the factored inhomogeneous linear equation \begin{equation*} \prod_{j=1}^{n}(\frac{\hbox{d}}{\hbox{d}t}-A_{j}) u(t) =f(t). \end{equation*} Under the hypothesis $A_{1},A_{2}, ..., A_{n}$ are infinitesimal ... More

Extensions in groupoidsDec 13 2018As groupoids generalize groups, motivated by group extension we propose a concept of groupoid extension for Lie groupoids, i.e, \[ \sf 1\to A \to G \to K \to 1 \] where $\sf A,G$ and $\sf K$ are Lie groupoids. Similar to the theory of group extension, ... More

Quantum fluctuations of spacetime generate quantum entanglement between gravitationally polarizable subsystemsDec 09 2018There should be quantum vacuum fluctuations of spacetime itself, if we accept that the basic quantum principles we are already familiar with apply as well to a quantum theory of gravity. In this paper, we study, in linearized quantum gravity, the quantum ... More

Optimization by Move--Class DeflationMay 12 1998A new approach to combinatorial optimization based on systematic move-class deflation is proposed. The algorithm combines heuristics of genetic algorithms and simulated annealing, and is mainly entropy-driven. It is tested on two problems known to be ... More

Critical quench dynamics of random quantum spin chains: Ultra-slow relaxation from initial order and delayed ordering from initial disorderNov 29 2016Mar 01 2017By means of free fermionic techniques combined with multiple precision arithmetic we study the time evolution of the average magnetization, $\overline{m}(t)$, of the random transverse-field Ising chain after global quenches. We observe different relaxation ... More

Sequential Defense Against Random and Intentional Attacks in Complex NetworksJan 31 2015Network robustness against attacks is one of the most fundamental researches in network science as it is closely associated with the reliability and functionality of various networking paradigms. However, despite the study on intrinsic topological vulnerabilities ... More

Learning to Search on Manifolds for 3D Pose Estimation of Articulated ObjectsDec 02 2016This paper focuses on the challenging problem of 3D pose estimation of a diverse spectrum of articulated objects from single depth images. A novel structured prediction approach is considered, where 3D poses are represented as skeletal models that naturally ... More

Generalized and weighted Strichartz estimatesAug 31 2010Nov 18 2011In this paper, we explore the relations between different kinds of Strichartz estimates and give new estimates in Euclidean space $\mathbb{R}^n$. In particular, we prove the generalized and weighted Strichartz estimates for a large class of dispersive ... More

Analysis of Information Delivery Dynamics in Cognitive Sensor Networks Using Epidemic ModelsSep 02 2017To fully empower sensor networks with cognitive Internet of Things (IoT) technology, efficient medium access control protocols that enable the coexistence of cognitive sensor networks with current wireless infrastructure are as essential as the cognitive ... More

High Dimensional Inference in Partially Linear ModelsAug 08 2017We propose two semiparametric versions of the debiased Lasso procedure for the model $Y_i = X_i\beta_0 + g_0(Z_i) + \epsilon_i$, where $\beta_0$ is high dimensional but sparse (exactly or approximately). Both versions are shown to have the same asymptotic ... More

Wave propagation and its stability for a class of discrete diffusion systemsMay 15 2019This paper is devoted to study the wave propagation and its stability for a class of two-component discrete diffusive systems. We first establish the existence of positive monotone monostable traveling wave fronts. Then, applying the techniques of weighted ... More

Shrinkage estimation of covariance matrix for portfolio choice with high frequency dataNov 21 2016This paper examines the usefulness of high frequency data in estimating the covariance matrix for portfolio choice when the portfolio size is large. A computationally convenient nonlinear shrinkage estimator for the integrated covariance (ICV) matrix ... More

Universal structural estimator and dynamics approximator for complex networksNov 06 2016Revealing the structure and dynamics of complex networked systems from observed data is of fundamental importance to science, engineering, and society. Is it possible to develop a universal, completely data driven framework to decipher the network structure ... More

Defending Against DDoS Attacks in Bloom Filter based MulticastingApr 20 2015Jan 14 2017This paper analyze security issues of Bloom filter based multicast forwarding mechanisms. Tree oriented approaches and destination oriented approaches are studied. We analyze the possible distributed denail of service (DDoS) against the Bloom filter based ... More

Large anomalous Nernst and spin Nernst effects in noncollinear antiferromagnets Mn$_3X$ ($X$ = Sn, Ge, Ga)Aug 20 2017Dec 10 2017Noncollinear antiferromagnets have recently been attracting considerable interest partly due to recent surprising discoveries of the anomalous Hall effect (AHE) in them and partly because they have promising applications in antiferromagnetic spintronics. ... More

Masses of Scalar and Axial-Vector B Mesons RevisitedApr 04 2017Oct 08 2017The SU(3) quark model encounters a great challenge in describing even-parity mesons. Specifically, the $q\bar q$ quark model has difficulties in understanding the light scalar mesons below 1 GeV, scalar and axial-vector charmed mesons and $1^+$ charmonium-like ... More

Performance Analysis of Relay Selection With Enhanced Dynamic Decode-and-Forward and Network Coding in Two-Way Relay ChannelsJan 20 2016In this paper, we adopt the relay selection (RS) protocol proposed by Bletsas, Khisti, Reed and Lippman (2006) with Enhanced Dynamic Decode-and-Forward (EDDF) and network coding (NC) system in a two-hop two-way multi-relay network. All nodes are single-input ... More

Gibbsian Statistical Ensemble Theory as an Emergent Limit Law in ProbabilityNov 28 2018Feb 25 2019Envision a small subsystem $\mathfrak{S}$ exchanging energy $E_1$ with its large stationary environment whose energy $E_2$ has an infinitesimal variation $\delta$. The theory of probability predicts that, as $E_1\to 0$ and fixed $\delta>0$, the conditional ... More

Global Existence of Entropy-Weak Solutions to the Compressible Navier-Stokes Equations with Non-Linear Density Dependent ViscositiesMay 07 2019In this paper, we extend considerably the global existence results of entropy-weak solutions related to compressible Navier-Stokes system with density dependent viscosities obtained, independently (using different strategies), by Vasseur-Yu [Inventiones ... More

Minimax Optimal Estimation in Partially Linear Additive Models under High DimensionDec 18 2016Jan 14 2018In this paper, we derive minimax rates for estimating both parametric and nonparametric components in partially linear additive models with high dimensional sparse vectors and smooth functional components. The minimax lower bound for Euclidean components ... More

Well-Supported versus Approximate Nash Equilibria: Query Complexity of Large GamesNov 03 2015We study the randomized query complexity of approximate Nash equilibria (ANE) in large games. We prove that, for some constant $\epsilon>0$, any randomized oracle algorithm that computes an $\epsilon$-ANE in a binary-action, $n$-player game must make ... More

Entanglement entropy dynamics of disordered quantum spin chainsJan 18 2012Mar 12 2012By means of free fermionic techniques we study the time evolution of the entanglement entropy, S(t), of a block of spins in the random transverse-field Ising chain after a sudden change of the parameters of the Hamiltonian. We consider global quenches, ... More

Entanglement entropy at infinite randomness fixed points in higher dimensionsApr 03 2007Aug 28 2007The entanglement entropy of the two-dimensional random transverse Ising model is studied with a numerical implementation of the strong disorder renormalization group. The asymptotic behavior of the entropy per surface area diverges at, and only at, the ... More

Multipole scattering amplitudes in the Color Glass Condensate formalismApr 02 2017Jun 06 2017We evaluate the octupole in the large-$N_c$ limit in the McLerran-Venugopalan model, and derive a general expression of the 2n-point correlator, which can be applied in analytical studies of the multi-particle production in the scatterings between hard ... More

Nonequilibrium quench dynamics in quantum quasicrystalsOct 27 2012Feb 18 2013We study the nonequilibrium dynamics of a quasiperiodic quantum Ising chain after a sudden change in the strength of the transverse field at zero temperature. In particular we consider the dynamics of the entanglement entropy and the relaxation of the ... More

Antiferromagnetic Heisenberg chains with bond alternation and quenched disorderFeb 16 2004We consider S=1/2 antiferromagnetic Heisenberg chains with alternating bonds and quenched disorder, which represents a theoretical model of the compound CuCl_{2x}Br_{2(1-x)}(\gamma-{pic})_2. Using a numerical implementation of the strong disorder renormalization ... More

Ecology-Based DoS Attack in Cognitive Radio NetworksMar 03 2016Cognitive radio technology, which is designed to enhance spectrum utilization, depends on the success of opportunistic access, where secondary users (SUs) exploit spectrum void unoccupied by primary users (PUs) for transmissions. We note that the system ... More

Topological schemas of cognitive maps and spatial learning in the hippocampusSep 01 2015Mar 20 2016Spatial navigation in mammals is based on building a mental representation of their environment---a cognitive map. However, both the nature of this cognitive map and its underpinning in neural structures and activity remains vague. A key difficulty is ... More

Entanglement dynamics for uniformly accelerated two-level atoms in the presence of a reflecting boundaryJun 14 2018Jul 05 2018We study the entanglement dynamics for two uniformly accelerated two-level atoms in interaction with a bath of fluctuating electromagnetic fields in vacuum in the presence of a reflecting boundary. We consider two different alignments of atoms, i.e. parallel ... More

Few-shot Learning with Meta Metric LearnersJan 26 2019Few-shot Learning aims to learn classifiers for new classes with only a few training examples per class. Existing meta-learning or metric-learning based few-shot learning approaches are limited in handling diverse domains with various number of labels. ... More

Global weak solutions to the Navier-Stokes-Vlasov equationsApr 30 2012Nov 27 2012In this paper, the system of particles coupled with fluid is considered. The particles are described by a Vlasov equation, and the fluid is governed by a forced Navier-Stokes equations. The interaction with fluid phase governed by Navier-Stokes equations ... More

On closedness under convolution roots related to an infinitely divisible distribution in the distribution class L(γ)Dec 06 2015Sep 27 2016We consider questions related to the well-known conjecture due to Embrechts and Goldie on the closedness of different classes of heavy- and light-tailed distributions with respect to convolution roots. We show that the class L(\gamma)\cap OS is not closed ... More

Lie-X: Depth Image Based Articulated Object Pose Estimation, Tracking, and Action Recognition on Lie GroupsSep 13 2016Pose estimation, tracking, and action recognition of articulated objects from depth images are important and challenging problems, which are normally considered separately. In this paper, a unified paradigm based on Lie group theory is proposed, which ... More

Generalized Kerr/CFT correspondence with electromagnetic fieldNov 14 2013The electrovac axisymmetric extreme isolated horizon/CFT correspondence is considered. By expansion techniques under the Bondi-like coordinates, it is proved that the near horizon geometry of electrovac axisymmetric extreme isolated horizon is unique. ... More

The Tunable Hybrid Surface Phonon and Plasmon Polariton Modes in Boron Nitride Nanotube and Graphene Monolayer HeterostructuresDec 30 2014The hybrid modes incorporating surface phonon polariton (SPhP) modes in boron nitride nanotubes (BNNTs) and surface plasmon polariton (SPP) modes in graphene monolayers are theoretically studied. The combination of the 1D BNNTs and 2D graphene monolayer ... More

Global well-posedness for the two dimensional Navier-Stokes-Vlasov EquationsJul 19 2012Oct 11 2012The global well-posedness for the incompressible Navier-Stokes-Vlasov equations in two spatial dimensions is established by a priori estimates, the characteristic method and the semigroup analysis.

Strong disorder renormalization group study of S=1/2 Heisenberg antiferromagnet layers/bilayers with bond randomness, site dilution and dimer dilutionApr 05 2006Using a numerical implementation of strong disorder renormalization group, we study the low-energy, long-distance properties of layers and bilayers of $S = 1/2$ Heisenberg antiferromagnets with different type of disorder: bond randomness, site and dimer ... More

Impact of the Casimir-Polder Potential and Johnson Noise on Bose-Einstein Condensate Stability near SurfacesAug 22 2003Nov 25 2003We investigate the stability of magnetically trapped atomic Bose-Einstein condensates and thermal clouds near the transition temperature at small distances 0.5 microns < d < 10 microns from a microfabricated silicon chip. For a 2 microns thick copper ... More

Coordinated Nonorthogonal Pilot Design for Massive MIMOApr 21 2019Pilot contamination caused by the nonorthogonality of pilots is a main limiting factor in multi-cell massive multiple-input multiple-output (MIMO) systems because it can significantly impair channel estimation. Recent works have suggested coordinating ... More

Raman Gray Molasses Cooling of Cesium Atoms on the D2 LineJul 16 2018We present a systematic study on the Raman gray molasses cooling (RGMC) of cesium atoms on the $D_2$ transition. Due to the large splitting in the excited hyperfine transitions of cesium $D_2$ line, it is relatively simple to implement the RGMC with suitable ... More

Universal stability of Banach spaces for $\varepsilon$-isometriesJan 15 2013Nov 20 2013Let $X$, $Y$ be two real Banach spaces and $\varepsilon>0$. A standard $\varepsilon$-isometry $f:X\rightarrow Y$ is said to be $(\alpha,\gamma)$-stable (with respect to $T:L(f)\equiv\overline{{\rm span}}f(X)\rightarrow X$ for some $\alpha, \gamma>0$) ... More

SRDGAN: learning the noise prior for Super Resolution with Dual Generative Adversarial NetworksMar 28 2019Single Image Super Resolution (SISR) is the task of producing a high resolution (HR) image from a given low-resolution (LR) image. It is a well researched problem with extensive commercial applications such as digital camera, video compression, medical ... More

ADMM-IDNN: Iteratively Double-reweighted Nuclear Norm Algorithm for Group-prior based Nonconvex Compressed Sensing via ADMMMar 23 2019May 20 2019Group-prior based regularization method has led to great successes in various image processing tasks, which can usually be considered as a low-rank matrix minimization problem. As a widely used surrogate function of low-rank, the nuclear norm based convex ... More

Beamforming Design for Max-Min Fair SWIPT in Green Cloud-RAN with Wireless FronthaulMay 06 2018In this paper, a joint beamforming design for max-min fair simultaneous wireless information and power transfer (SWIPT) is investigated in a green cloud radio access network (Cloud-RAN) with millimeter wave (mmWave) wireless fronthaul. To achieve a balanced ... More

Mechanically induced pseudo-magnetic fields in the excitonic fine structures of droplet epitaxial quantum dotsJan 24 2014Dec 19 2014We present numerical investigations based on the Luttinger-Kohn four-band $k \cdot p$ theory and, accordingly, establish a quantitatively valid model of the excitonic fine structures of droplet epitaxial GaAs/AlGaAs quantum dots under uni-axial stress ... More

Multivariate Regression with Grossly Corrupted Observations: A Robust Approach and its ApplicationsJan 11 2017This paper studies the problem of multivariate linear regression where a portion of the observations is grossly corrupted or is missing, and the magnitudes and locations of such occurrences are unknown in priori. To deal with this problem, we propose ... More

Relativistic coupled-cluster theory analysis of energies, hyperfine structure constants, and dipole polarizabilities of Cd$^{+}$Feb 08 2018Roles of electron correlation effects in the determination of attachment energies, magnetic dipole hyperfine structure constants and electric dipole (E1) matrix elements of the low-lying states in the singly charged cadmium ion (Cd$^+$) have been analyzed. ... More

A Photonic Crystal Slab Laplace DifferentiatorNov 16 2017We introduce an implementation of a Laplace differentiator based on a photonic crystal slab that operates at transmission mode. We show that the Laplace differentiator can be implemented provided that the guided resonances near the $\Gamma$ point exhibit ... More

Faster Algorithms for High-Dimensional Robust Covariance EstimationJun 11 2019We study the problem of estimating the covariance matrix of a high-dimensional distribution when a small constant fraction of the samples can be arbitrarily corrupted. Recent work gave the first polynomial time algorithms for this problem with near-optimal ... More

Correlated valence-bond statesJun 28 2012Jul 05 2012We study generalizations of the singlet-sector amplitude-product (AP) states in the valence-bond basis of S=1/2 quantum spin systems. In the standard AP states, the weight of a tiling of the system into valence bonds (singlets of two spins) is a product ... More

Unsupervised Iterative Deep Learning of Speech Features and Acoustic Tokens with Applications to Spoken Term DetectionJul 17 2017In this paper we aim to automatically discover high quality frame-level speech features and acoustic tokens directly from unlabeled speech data. A Multi-granular Acoustic Tokenizer (MAT) was proposed for automatic discovery of multiple sets of acoustic ... More

Mirror Protected Multiple Nodal Line Semimetals and Material RealizationApr 19 2018The conventional k.p method fails to capture the full and essential physics of many symmetry enriched multiple nodal line structures in the three dimensional Brillouin zone. Here we present a new and systematical method to construct the effective lattice ... More

Dynamical Signature of Symmetry Fractionalization in Frustrated MagnetsMar 29 2018Jul 22 2018The nontrivialness of quantum spin liquid (QSL) typically manifests in the non-local observables that signifies their existence, however, this fact actually casts shadow on detecting QSL with experimentally accessible probes. Here, we provide a solution ... More

The weak solution to a Boltzmann type equation and its energy conservationMar 22 2016Apr 07 2016In this paper, we study the initial value problem of a Boltzmann type equation with a nonlinear degenerate damping. We prove the existence of global weak solutions with large initial data, in three dimensional space. We rely on a variant version of the ... More

Stability of curvature perturbation with new covariant form for energy-momentum transfer in dark sectorOct 09 2011It was found that the model with interaction between cold dark matter (CDM) and dark energy (DE) proportional to the energy density of CDM $\rho_m$ and constant equation of state of DE $w_d$ suffered from instabilities of the density perturbations on ... More

New Signal Designs for Enhanced Spatial ModulationMay 29 2016In this paper, we present three new signal designs for Enhanced Spatial Modulation (ESM), which was recently introduced by the present authors. The basic idea of ESM is to convey information bits not only by the index(es) of the active transmit antenna(s) ... More

Multivariate Regression with Gross Errors on Manifold-valued DataMar 26 2017Sep 11 2017We consider the topic of multivariate regression on manifold-valued output, that is, for a multivariate observation, its output response lies on a manifold. Moreover, we propose a new regression model to deal with the presence of grossly corrupted manifold-valued ... More

Ternary Representation of Stochastic Change and the Origin of Entropy and Its FluctuationsFeb 25 2019A change in a stochastic system has three representations: Probabilistic, statistical, and informational: (i) is based on random variable $u(\omega)\to\tilde{u}(\omega)$; this induces (ii) the probability distributions $F_u(x)\to F_{\tilde{u}}(x)$, $x\in\mathbb{R}^n$; ... More

High Redshift Gamma-Ray Bursts: Observational Signatures of Superconducting Cosmic Strings?May 19 2010Jun 11 2010The high-redshift gamma-ray bursts (GRBs), GRBs 080913 and 090423, challenge the conventional GRB progenitor models by their short durations, typical for short GRBs, and their high energy releases, typical for long GRBs. Meanwhile, the GRB rate inferred ... More

Reduced-Rank Channel Estimation for Large-Scale MIMO SystemsSep 08 2016We present two reduced-rank channel estimators for large-scale multiple-input, multiple-output (MIMO) systems and analyze their mean square error (MSE) performance. Taking advantage of the channel's transform domain sparseness, the estimators yield outstanding ... More

Critical phenomena in the extended phase space of Kerr-Newman-AdS black holesMar 29 2016Treating the cosmological constant as a thermodynamic pressure, we investigate the critical behavior of a Kerr-Newman-AdS black hole system. The critical points for the van der Waals like phase transition are numerically solved. The highly accurate fitting ... More

A Framework of Algorithms: Computing the Bias and Prestige of Nodes in Trust NetworksJul 24 2012A trust network is a social network in which edges represent the trust relationship between two nodes in the network. In a trust network, a fundamental question is how to assess and compute the bias and prestige of the nodes, where the bias of a node ... More

Random-walk domination in large graphs: problem definitions and fast solutionsFeb 19 2013We introduce and formulate two types of random-walk domination problems in graphs motivated by a number of applications in practice (e.g., item-placement problem in online social network, Ads-placement problem in advertisement networks, and resource-placement ... More

Three Remarks on Carleson Measures for Dirichlet SpaceApr 22 2018In this paper, we prove that all doubling measures on the unit disk $\mathbb{D}$ are Carleson measures for the standard Dirichlet space $\mathcal{D}$. The proof has three ingredients. The first one is a characterization of Carleson measures which holds ... More

Large Second-Harmonic Generation and Linear Electro-Optic Effect in Trigonal Selenium and TelluriumApr 03 2019Trigonal selenium and tellurium crystalize in helical chain-like structures and thus possess interesting properties such as current-induced spin polarization, gyrotropic effects and nonlinear optical responses. By performing systematic ab initio calculations ... More

Deep Structured Energy Based Models for Anomaly DetectionMay 25 2016Jun 16 2016In this paper, we attack the anomaly detection problem by directly modeling the data distribution with deep architectures. We propose deep structured energy based models (DSEBMs), where the energy function is the output of a deterministic deep neural ... More

Noise-induced temporal regularity and signal amplification in an optomechanical system with parametric instabilityNov 29 2018Noise usually has an unwelcome influence on system performance. For instance, noise inevitably affects the low-frequency mechanical freedom in optomechanical experiments. However, we investigate here the beneficial effects of thermal noise on a basic ... More

Pulse-regulated single-photon generation via quantum interference in a $χ^{(2)}$ nonlinear nanocavityOct 10 2018A scalable on-chip single-photon source at telecommunications wavelengths is an essential component of quantum communication networks. In this work, we numerically construct a pulse-regulated single-photon source based on an optical parametric amplifier ... More

Buffer Occupancy and Delivery Reliability Tradeoffs for Epidemic RoutingJan 24 2016To achieve end-to-end delivery in intermittently connected networks, epidemic routing is proposed for data delivery at the price of excessive buffer occupancy due to its store-and-forward nature. The ultimate goal of epidemic routing protocol design is ... More

Nonparametric and adaptive modeling of dynamic seasonality and trend with heteroscedastic and dependent errorsOct 17 2012Mar 19 2013Seasonality (or periodicity) and trend are features describing an observed sequence, and extracting these features is an important issue in many scientific fields. However, it is not an easy task for existing methods to analyze simultaneously the trend ... More

A new proof to the energy conservation for the Navier-Stokes equationsApr 19 2016In this paper we give a new proof to the energy conservation for the weak solutions of the incompressible Navier-Stokes equations. This result was first proved by Shinbrot. The new proof relies on a lemma introduced by Lions.

Modeling of fracture geometry alteration and fracture flow evolution under geostress and water-rock interactionApr 11 2019A coupled mech-hydro-chemical model for rock geometry alteration of fractures under water-rock interaction (WRI) and geostress is developed. Processes including WRI, asperity deformation, mineral chemical dissolution and pressure dissolution etc., are ... More

A Unified Sampling and Scheduling Approach for Status Update in Multiaccess Wireless NetworksDec 13 2018Information source sampling and update scheduling have been treated separately in the context of real-time status update for age of information optimization. In this paper, a unified sampling and scheduling ($\mathcal{S}^2$) approach is proposed, focusing ... More

Reduction of Second-Order Network Systems with Structure PreservationJun 02 2017This paper proposes a general framework for structure-preserving model reduction of a secondorder network system based on graph clustering. In this approach, vertex dynamics are captured by the transfer functions from inputs to individual states, and ... More

High Dimensional Robust Inference for Cox Regression ModelsNov 01 2018We consider high-dimensional inference for potentially misspecified Cox proportional hazard models based on low dimensional results by Lin and Wei [1989]. A de-sparsified Lasso estimator is proposed based on the log partial likelihood function and shown ... More

Time Resource NetworksFeb 09 2016The problem of scheduling under resource constraints is widely applicable. One prominent example is power management, in which we have a limited continuous supply of power but must schedule a number of power-consuming tasks. Such problems feature tightly ... More

Analytical and exact critical phenomena of $d$-dimensional singly spinning Kerr-AdS black holesOct 01 2015Apr 12 2016In the extended phase space, the $d$-dimensional singly spinning Kerr-AdS black holes exhibit the van der Waals's phase transition and reentrant phase transition. Since the black hole system is a single characteristic parameter thermodynamic system, we ... More

Implications of fast radio bursts for superconducting cosmic stringsSep 19 2014Nov 06 2014Highly beamed, short-duration electromagnetic bursts could be produced by superconducting cosmic string (SCS) loops oscillating in cosmic magnetic fields. We demonstrated that the basic characteristics of SCS bursts such as the electromagnetic frequency ... More

Maxwell Equation for the Coupled Spin-Charge Wave PropagationNov 10 2004We show that the dissipationless spin current in the ground state of the Rashba model gives rise to a reactive coupling between the spin and charge propagation, which is formally identical to the coupling between the electric and the magnetic fields in ... More

Diffie-Hellman in the Air: A Link Layer Approach for In-Band Wireless PairingJan 28 2019Key establishment is one fundamental issue in wireless security. The widely used Diffie-Hellman key exchange is vulnerable to the man-in-the-middle attack. This paper presents a novel in-band solution for defending the man-in-the-middle attack during ... More

Interference-type plasmonic polarizers and generalized law of MalusJun 11 2019The conventional linear polarizer only allows the electric component parallel to the polarizer axis to pass through whereas prohibits the vertical component. We propose that a specially-designed single-layer plasmonic polarizer can couple both parallel ... More

Path integral Monte Carlo study of the interacting quantum double-well model: Quantum phase transition and phase diagramAug 17 2006Jan 05 2007The discrete time path integral Monte Carlo (PIMC) with a one-particle density matrix approximation is applied to study the quantum phase transition in the coupled double-well chain. To improve the convergence properties, the exact action for a single ... More

The paradox of controlling complex networks: control inputs versus energy requirementSep 10 2015In this paper, we investigate the linear controllability framework for complex networks from a physical point of view. There are three main results. (1) If one applies control signals as determined from the structural controllability theory, there is ... More

Energy-Throughput Tradeoff in Sustainable Cloud-RAN with Energy HarvestingMay 08 2017In this paper, we investigate joint beamforming for energy-throughput tradeoff in a sustainable cloud radio access network system, where multiple base stations (BSs) powered by independent renewable energy sources will collaboratively transmit wireless ... More

Strain induced edge magnetism at zigzag edge in graphene quantum dotSep 08 2014Jan 30 2015We study the temperature dependent magnetic susceptibility of a strained graphene quantum dot by using the determinant quantum Monte Carlo method. Within the Hubbard model on a honeycomb lattice, our unbiased numerical results show that a relative small ... More

Finger-gate manipulated quantum transport in a semiconductor narrow constriction with spin-orbit interactions and Zeeman effectJul 19 2012Sep 26 2012The authors investigate quantum transport in a narrow constriction fabricated by narrow band gap semiconductor materials with spin-orbit (SO) couplings. We consider the Rashba-Dresselhaus (RD) spin-orbit interactions (SOIs) and the Zeeman effect induced ... More

A Visual Attention Grounding Neural Model for Multimodal Machine TranslationAug 24 2018Aug 28 2018We introduce a novel multimodal machine translation model that utilizes parallel visual and textual information. Our model jointly optimizes the learning of a shared visual-language embedding and a translator. The model leverages a visual attention grounding ... More

Heat kernel asymptotics, local index theorem and trace integrals for CR manifolds with $S^1$ actionOct 31 2015Jul 20 2017Among those transversally elliptic operators initiated by Atiyah and Singer, Kohn's $\Box_b$ operator on CR manifolds with $S^1$ action is a natural one of geometric significance for complex analysts. Our first main result establishes an asymptotic expansion ... More

Refractive index in generalized superconductors with Born-Infeld electrodynamicsMar 22 2018We investigate, in the probe limit, the negative refraction in the generalized superconductors with the Born-Infeld electrodynamics. We observe that the system has a negative Depine-Lakhtakia index in the superconducting phase at small frequencies and ... More