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Association and Load Optimization with User Priorities in Load-Coupled Heterogeneous NetworksOct 18 2017In this paper, we consider the network utility maximization problem with various user priorities via jointly optimizing user association, load distribution and power control in a load-coupled heterogeneous network. In order to tackle the nonconvexity ... More

Pilot Reuse Among D2D Users in D2D Underlaid Massive MIMO SystemsAug 04 2017In a device-to-device (D2D) underlaid massive MIMO system, D2D transmitters reuse the uplink spectrum of cellular users (CUs), leading to cochannel interference. To decrease pilot overhead, we assume pilot reuse (PR) among D2D pairs. We first derive the ... More

Fabrication of polarization-independent single-mode waveguides in lithium niobate crystal with femtosecond laser pulsesMay 21 2016We report on fabrication of depressed cladding optical waveguides buried in lithium niobate crystal with shaped femtosecond laser pulses. Depressed cladding waveguides of variable mode-field sizes are fabricated by forming the four sides of the cladding ... More

Fabrication of an integrated high-quality-factor (high-Q) optofluidic sensor by femtosecond laser micromachiningApr 18 2014We report on fabrication of a microtoroid resonator of a high-quality factor (i. e., Q-factor of ~3.24x10^6 measured under the critical coupling condition) integrated in a microfluidic channel using femtosecond laser three-dimensional (3D) micromachining. ... More

Classical Predicative Logic-Enriched Type TheoriesJun 09 2009Aug 18 2010A logic-enriched type theory (LTT) is a type theory extended with a primitive mechanism for forming and proving propositions. We construct two LTTs, named LTTO and LTTO*, which we claim correspond closely to the classical predicative systems of second ... More

Joint Time-Frequency Splitting for Multiuser SWIPT OFDM NetworksFeb 08 2019In this paper, we propose a joint time-frequency splitting (TFS) strategy for a multiuser orthogonal frequency division multiplexing (OFDM) system with simultaneous wireless information and power transfer (SWIPT). In TFS, the time sharing factors for ... More

A control strategy algorithm for finite alternating transition systemsDec 29 2012Recently, there has been an increasing interest in the formal analysis and design of control systems. In this area, in order to reduce the complexity and scale of control systems, finite abstractions of control systems are introduced and explored. Amongst, ... More

Energy Efficient Resource Allocation for Mobile-Edge Computation Networks with NOMASep 04 2018Feb 14 2019This paper investigates an uplink non-orthogonal multiple access (NOMA)-based mobile-edge computing (MEC) network. Our objective is to minimize the total energy consumption of all users including transmission energy and local computation energy subject ... More

Resource Allocation in Full-Duplex Mobile-Edge Computing Systems with NOMA and Energy HarvestingJul 31 2018This paper considers a full-duplex (FD) mobile-edge computing (MEC) system with non-orthogonal multiple access (NOMA) and energy harvesting (EH), where one group of users simultaneously offload task data to the base station (BS) via NOMA and the BS simultaneously ... More

Linear time logic control of linear systems with disturbancesDec 29 2012The formal analysis and design of control systems is one of recent trends in control theory. In this area, in order to reduce the complexity and scale of control systems, finite abstractions of control systems are introduced and explored. In non-disturbance ... More

Energy-Efficient Data Collection and Wireless Power Transfer Using A MIMO Full-Duplex UAVNov 22 2018In this paper, we propose a novel energy-efficient data collection and wireless power transfer (WPT) framework for internet of things (IoT) applications, via a multiple-input multiple-output (MIMO) full-duplex (FD) unmanned aerial vehicle (UAV). To exploit ... More

Revisiting Perspective Information for Efficient Crowd CountingJul 05 2018Dec 09 2018Crowd counting is the task of estimating people numbers in crowd images. Modern crowd counting methods employ deep neural networks to estimate crowd counts via crowd density regressions. A major challenge of this task lies in the perspective distortion, ... More

Compressive Sensing Based User Clustering for Downlink NOMA Systems with Decoding PowerMar 13 2018This letter investigates joint power control and user clustering for downlink non-orthogonal multiple access systems. Our aim is to minimize the total power consumption by taking into account not only the conventional transmission power but also the decoding ... More

Optimal Fairness-Aware Time and Power Allocation in Wireless Powered Communication NetworksFeb 14 2018In this paper, we consider the sum $\alpha$-fair utility maximization problem for joint downlink (DL) and uplink (UL) transmissions of a wireless powered communication network (WPCN) via time and power allocation. In the DL, the users with energy harvesting ... More

Energy Efficient Resource Allocation in Machine-to-Machine Communications with Multiple Access and Energy Harvesting for IoTNov 29 2017This paper studies energy efficient resource allocation for a machine-to-machine (M2M) enabled cellular network with non-linear energy harvesting, especially focusing on two different multiple access strategies, namely non-orthogonal multiple access (NOMA) ... More

Energy Efficient Resource Allocation in UAV-Enabled Mobile Edge Computing NetworksFeb 08 2019Feb 13 2019In this paper, we consider the sum power minimization problem via jointly optimizing user association, power control, computation capacity allocation and location planning in a mobile edge computing (MEC) network with multiple unmanned aerial vehicles ... More

Revisiting Perspective Information for Efficient Crowd CountingJul 05 2018Apr 01 2019Crowd counting is the task of estimating people numbers in crowd images. Modern crowd counting methods employ deep neural networks to estimate crowd counts via crowd density regressions. A major challenge of this task lies in the perspective distortion, ... More

Energy Efficient Resource Allocation in UAV-Enabled Mobile Edge Computing NetworksFeb 08 2019In this paper, we consider the sum power minimization problem via jointly optimizing user association, power control, computation capacity allocation and location planning in a mobile edge computing (MEC) network with multiple unmanned aerial vehicles ... More

Resource Allocation for D2D Communications Underlaying a NOMA-Based Cellular NetworkOct 14 2017This letter investigates the power control and channel assignment problem in device-to-device (D2D) communications underlaying a non-orthogonal multiple access (NOMA) cellular network. With the successive interference cancellation decoding order constraints, ... More

Joint Time Allocation and Power Control in Multi-Cell Networks with Load Coupling: Energy Saving and Rate ImprovementJul 01 2017In this paper, we consider the problems of minimizing sum power and maximizing sum rate for multi-cell networks with load coupling, where coupling relation occurs among cells due to inter-cell interference. This coupling relation is characterized by the ... More

Optimization of Rate Allocation and Power Control for Rate Splitting Multiple Access (RSMA)Mar 19 2019In this paper, the sum-rate maximization problem is studied for wireless networks that use downlink rate splitting multiple access (RSMA). In the considered model, each base station (BS) divides the messages that must be transmitted to its users into ... More

Optical Sky Brightness and Transparency During the Winter Season at Dome A Antarctica From the Gattini-Allsky CameraOct 31 2016Apr 12 2017The summit of the Antarctic plateau, Dome A, is proving to be an excellent site for optical, NIR, and THz astronomical observations. GATTINI was a wide-field camera installed on the PLATO instrument module as part of the Chinese-led traverse to Dome A ... More

Power Control for Multi-Cell Networks with Non-Orthogonal Multiple AccessJun 14 2017Nov 02 2017In this paper, we investigate the problems of sum power minimization and sum rate maximization for multi-cell networks with non-orthogonal multiple access. Considering the sum power minimization, we obtain closed-form solutions to the optimal power allocation ... More

Robust Transmission Design for Multi-Cell D2D Underlaid Cellular NetworksApr 14 2018This paper investigates the robust transmission design (RTD) of a multi-cell device-to-device (D2D) underlaid cellular network with imperfect channel state information (CSI). The bounded model is adopted to characterize the CSI impairment and the aim ... More

An Analytic Semi-device-independent Entanglement Quantification for Bipartite Quantum StatesMar 13 2019We define a property called nondegeneracy for Bell inequalities, which describes the situation that in a Bell setting, if a Bell inequality and involved local measurements are chosen and fixed, any quantum state with a given dimension and its orthogonal ... More

Analytic Semi-device-independent Entanglement Quantification for Bipartite Quantum StatesMar 13 2019Mar 15 2019We define a property called nondegeneracy for Bell inequalities, which describes the situation that in a Bell setting, if a Bell inequality and involved local measurements are chosen and fixed, any quantum state with a given dimension and its orthogonal ... More

Refining Recency Search Results with User Click FeedbackMar 19 2011Traditional machine-learned ranking systems for web search are often trained to capture stationary relevance of documents to queries, which has limited ability to track non-stationary user intention in a timely manner. In recency search, for instance, ... More

Joint Altitude, Beamwidth, Location and Bandwidth Optimization for UAV-Enabled CommunicationsJun 06 2018This letter investigates an uplink power control problem for unmanned aerial vehicles (UAVs) assisted wireless communications. We jointly optimize the UAV's flying altitude, antenna beamwidth, UAV's location and ground terminals' allocated bandwidth and ... More

Cache Placement in Two-Tier HetNets with Limited Storage Capacity: Cache or Buffer?Jun 06 2018In this paper, we aim to minimize the average file transmission delay via bandwidth allocation and cache placement in two-tier heterogeneous networks with limited storage capacity, which consists of cache capacity and buffer capacity. For average delay ... More

Historical shear deformation of rock fractures derived from digital outcrop models and its implications on the development of fracture systemsJul 09 2018Dec 22 2018The initiation and development of fractures in rocks is the key part of many problems from academic to industrial, such as faulting, folding, rock mass engineering, reservoir characterization, etc. Conventional ways of evaluating the fracture historical ... More

Transverse writing of three-dimensional tubular optical waveguides in glass with slit-shaped femtosecond laser beamsFeb 04 2016May 11 2016We report on fabrication of tubular optical waveguides buried in ZBLAN glass based on transverse femtosecond laser direct writing. Irradiation in ZBLAN with focused femtosecond laser pulses leads to decrease of refractive index in the modified region. ... More

High-throughput in-volume processing in glass with isotropic spatial resolutions in three dimensionsSep 19 2016We report on fabrication of three dimensional (3D) microstructures in glass with isotropic spatial resolutions. To achieve high throughput fabrication, we expand the focal spot size with a low-numerical-aperture lens, which naturally results in a degraded ... More

Interfacial Multiferroics of TiO2/PbTiO3 Heterostructure Driven by Ferroelectric Polarization DiscontinuityFeb 22 2017Novel phenomena appear when two different oxide materials are combined together to form an interface. For example, at the interface of LaAlO3/SrTiO3, two dimensional conductive states form to avoid the polar discontinuity and magnetic properties are found ... More

Data-Free Learning of Student NetworksApr 02 2019Learning portable neural networks is very essential for computer vision for the purpose that pre-trained heavy deep models can be well applied on edge devices such as mobile phones and micro sensors. Most existing deep neural network compression and speed-up ... More

Time-resolved shadowgraphs of transient plasma induced by spatiotemporally focused femtosecond laser pulses in fused silica glassOct 26 2015We report on experimental observations of formation and evolution of transient plasma produced in fused silica glass with spatiotemporally focused (STF) femtosecond laser pulses using a pump-probe shadow imaging technique. Surprisingly, the observation ... More

DarwinML: A Graph-based Evolutionary Algorithm for Automated Machine LearningNov 20 2018As an emerging field, Automated Machine Learning (AutoML) aims to reduce or eliminate manual operations that require expertise in machine learning. In this paper, a graph-based architecture is employed to represent flexible combinations of ML models, ... More

Device-independent characterizations of the quantum state in a Bell experimentSep 05 2016In a Bell experiment two parties share a quantum state and perform local measurements on their subsystems separately, and the statistics of the measurement outcomes are recorded as a Bell correlation. For any Bell correlation, it turns out a quantum state ... More

Linearity and Quantum Adiabatic TheoremJan 19 2007Feb 17 2007We show that in a quantum adiabatic evolution, even though the adiabatic approximation is valid, the total phase of the final state indicated by the adiabatic theorem may evidently differ from the actual total phase. This invalidates the application of ... More

On characterizing quantum correlated equilibriaMay 26 2011Quantum game theory lays a foundation for understanding the interaction of people using quantum computers with conflicting interests. Recently Zhang proposed a simple yet rich model to study quantum strategic games, and addressed some quantitative questions ... More

A relation between fidelity and quantum adiabatic evolutionApr 15 2005Dec 01 2005Recently, some quantum algorithms have been implemented by quantum adiabatic evolutions. In this paper, we discuss the accurate relation between the running time and the distance of the initial state and the final state of a kind of quantum adiabatic ... More

Device-independent characterizations of a shared quantum state independent of any Bell inequalitiesSep 05 2016Apr 27 2017In a Bell experiment two parties share a quantum state and perform local measurements on their subsystems separately, and the statistics of the measurement outcomes are recorded as a Bell correlation. For any Bell correlation, it turns out {that} a quantum ... More

Semi-simplicial Types in Logic-enriched Homotopy Type TheoryJun 16 2015The problem of defining Semi-Simplicial Types (SSTs) in Homotopy Type Theory (HoTT) has been recognized as important during the Year of Univalent Foundations at the Institute of Advanced Study. According to the interpretation of HoTT in Quillen model ... More

Quantum search algorithm by adiabatic evolution under a priori probabilityDec 15 2004Grover's algorithm is one of the most important quantum algorithms, which performs the task of searching an unsorted database without a priori probability. Recently the adiabatic evolution has been used to design and reproduce quantum algorithms, including ... More

A Boundary Thickening-based Direct Forcing Immersed Boundary Method for Fully Resolved Simulation of Particle-laden FlowsJun 25 2018A boundary thickening-based direct forcing (BTDF) immersed boundary (IB) method is proposed for fully resolved simulation of incompressible viscous flows laden with finite size particles. By slightly thickening the boundary thickness, the local communication ... More

Quantum adiabatic evolutions that can't be used to design efficient algorithmsApr 11 2006Apr 12 2006Quantum adiabatic computation is a novel paradigm for the design of quantum algorithms, which is usually used to find the minimum of a classical function. In this paper, we show that if the initial hamiltonian of a quantum adiabatic evolution with a interpolation ... More

A modified quantum adiabatic evolution for the Deutsch-Jozsa problemDec 01 2005Dec 04 2005Deutsch-Jozsa algorithm has been implemented via a quantum adiabatic evolution by S. Das et al. [Phys. Rev. A 65, 062310 (2002)]. This adiabatic algorithm gives rise to a quadratic speed up over classical algorithms. We show that a modified version of ... More

Efficient One-way Quantum Computations for Quantum Error CorrectionDec 14 2007Aug 18 2008We show how to explicitly construct an $O(nd)$ size and constant quantum depth circuit which encodes any given $n$-qubit stabilizer code with $d$ generators. Our construction is derived using the graphic description for stabilizer codes and the one-way ... More

The combination of context information to enhance simple question answeringOct 09 2018With the rapid development of knowledge base,question answering based on knowledge base has been a hot research issue. In this paper, we focus on answering singlerelation factoid questions based on knowledge base. We build a question answering system ... More

The square root rank of the correlation polytope is exponentialNov 25 2014The square root rank of a nonnegative matrix $A$ is the minimum rank of a matrix $B$ such that $A=B \circ B$, where $\circ$ denotes entrywise product. We show that the square root rank of the slack matrix of the correlation polytope is exponential. Our ... More

Typed Operational Semantics for Dependent Record TypesMar 17 2011Typed operational semantics is a method developed by H. Goguen to prove meta-theoretic properties of type systems. This paper studies the metatheory of a type system with dependent record types, using the approach of typed operational semantics. In particular, ... More

A Modal Characterization of Alternating Approximate BisimilarityDec 19 2012Recently, alternating transition systems are adopted to describe control systems with disturbances and their finite abstract systems. In order to capture the equivalence relation between these systems, a notion of alternating approximate bisimilarity ... More

Quantum game players can have advantage without discordFeb 01 2015The last two decades have witnessed a rapid development of quantum information processing, a new paradigm which studies the power and limit of "quantum advantages" in various information processing tasks. Problems such as when quantum advantage exists, ... More

Device-independent dimension test in a multiparty Bell experimentJul 11 2017A device-independent dimension test for a Bell experiment aims to estimate the underlying Hilbert space dimension that is required to produce given measurement statistical data without any other assumptions concerning the quantum apparatus. Previous work ... More

Weyl's Predicative Classical Mathematics as a Logic-Enriched Type TheorySep 11 2008Jan 15 2009We construct a logic-enriched type theory LTTW that corresponds closely to the predicative system of foundations presented by Hermann Weyl in Das Kontinuum. We formalise many results from that book in LTTW, including Weyl's definition of the cardinality ... More

The Generation Cost of Bipartite Quantum States under LOCCDec 01 2014Dec 16 2014We consider a realistic setting of quantum tasks that generate shared bipartite quantum states. Suppose \alice and \bob are located at different places and need to produce a target shared quantum state $\rho$. In order to save quantum communication, they ... More

Meteorological data from KLAWS-2G for an astronomical site survey of Dome A, AntarcticaOct 12 2018We present an analysis of meteorological data from the second generation of the Kunlun Automated Weather Station (KLAWS-2G) at Dome A, Antarctica during 2015 and 2016. We find that a strong temperature inversion exists for all the elevations up to 14 ... More

A Statistical Model of Pressure Drop Increase with Deposition in Granular FiltersApr 27 2014As deposits accumulate in a granular filter, pressure drop across the filter bed required to maintain a constant fluid flow rate may increase. Two pressure drop increase patterns had been observed. In slow sand filters pressure drop remains unchanged ... More

Indicators of Black Hole Mass and Eddington Accretion Ratio from QSO X-ray and UV SpectraJan 28 2003The evolution of luminous QSOs is linked to the evolution of massive galaxies. We know this because the relic black-holes found locally have masses dependent on the properties of the host galaxy's bulge. An important way to explore this evolution would ... More

Principal Component Analysis of AGN SpectraMar 26 2004We discuss spectral principal component analysis (SPCA) and show examples of its application in analyzing AGN spectra in both small and large samples. It can be used to identify peculiar spectra and classify AGN spectra. Its application to correlation ... More

Capacitive Spring Softening in Single-Walled Carbon Nanotube Nanoelectromechanical ResonatorsOct 28 2010We report the capacitive spring softening effect observed in single-walled carbon nanotube (SWNT) nanoelectromechanical (NEM) resonators. The nanotube resonators adopt dual-gate configuration with both bottom-gate and side-gate capable of tuning the resonance ... More

Parametric amplification in single-walled carbon nanotube nanoelectromechanical resonatorsJun 13 2011Jul 26 2011The low quality factor (Q) of Single-walled carbon nanotube (SWNT) resonators has limited their sensitivity in sensing application. To this end, we employ the technique of parametric amplification by modulating the spring constant of SWNT resonators at ... More

Upper triangular matrices and Billiard ArraysAug 18 2015Jan 15 2016Fix a nonnegative integer $d$, a field $\mathbb{F}$, and a vector space $V$ over $\mathbb{F}$ with dimension $d+1$. Let $T$ denote an invertible upper triangular matrix in ${\rm Mat}_{d+1}(\mathbb{F})$. Using $T$ we construct three flags on $V$. We find ... More

Terahertz and Far-Infrared Windows Opened at Dome A, AntarcticaSep 20 2016The terahertz and far-infrared (FIR) band, from approximately 0.3 THz to 15 THz (1 mm to 20 micron), is important for astrophysics as the thermal radiation of much of the universe peaks at these wavelengths and many spectral lines that trace the cycle ... More

Axiomatizing Lüttgen and Vogler's ready simulation for finite processes in $\text{CLL}_R$Feb 12 2015In the framework of logic labelled transition system, a variant of weak ready simulation has been presented by L\"{u}ttgen and Vogler. It has been shown that such behavioural preorder is the largest precongruence w.r.t parallel and conjunction composition ... More

On the minimum dimension of a Hilbert space needed to generate a quantum correlationJul 01 2015Oct 07 2015Consider a two-party correlation that can be generated by performing local measurements on a bipartite quantum system. A question of fundamental importance is to understand how many resources, which we quantify by the dimension of the underlying quantum ... More

Device-independent dimension tests in the prepare-and-measure scenarioJun 13 2016Analyzing the dimension of an unknown quantum system in a device-independent manner, i.e., using only the measurement statistics, is a fundamental task in quantum physics and quantum information theory. In this paper, we consider this problem in the prepare-and-measure ... More

Wafer Scale Homogeneous Bilayer Graphene Films by Chemical Vapor DepositionNov 18 2010The discovery of electric field induced bandgap opening in bilayer graphene opens new door for making semiconducting graphene without aggressive size scaling or using expensive substrates. However, bilayer graphene samples have been limited to um size ... More

Inertial Migration of Aerosol Particles in Confined Microfluidic ChannelsDec 06 2018In recent years, manipulation of particles by inertial microfluidics has attracted significant attention. Most studies focused on inertial focusing of particles suspended within liquid phase, in which the ratio of the density of the particle to that of ... More

Complete Characterization of the Ground Space Structure of Two-Body Frustration-Free Hamiltonians for QubitsOct 12 2010The problem of finding the ground state of a frustration-free Hamiltonian carrying only two-body interactions between qubits is known to be solvable in polynomial time. It is also shown recently that, for any such Hamiltonian, there is always a ground ... More

Device-independent dimension tests in the prepare-and-measure scenarioJun 13 2016Oct 25 2016Analyzing the dimension of an unknown quantum system in a device-independent manner, i.e., using only the measurement statistics, is a fundamental task in quantum physics and quantum information theory. In this paper, we consider this problem in the prepare-and-measure ... More

Spectral-graph Based Classifications: Linear Regression for Classification and Normalized Radial Basis Function NetworkMay 19 2017Jun 13 2017Spectral graph theory has been widely applied in unsupervised and semi-supervised learning. In this paper, we find for the first time, to our knowledge, that it also plays a concrete role in supervised classification. It turns out that two classifiers ... More

Merging Process Algebra and Action-based Computation Tree LogicDec 31 2012Process algebra and temporal logic are two popular paradigms for the specification, verification and systematic development of reactive and concurrent systems. These two approaches take different standpoint for looking at specifications and verifications, ... More

The orientation dependence of quasar spectral energy distributionsSep 01 2013We investigate the orientation dependence of the spectral energy distributions in a sample of radio-loud quasars. Selected specifically to study orientation issues, the sample contains 52 sources with redshifts in the range 0.16<z<1.4 and measurements ... More

Measurement-Based Quantum Computing with Valence-Bond-SolidsNov 22 2011Measurement-based quantum computing (MBQC) is a model of quantum computing that proceeds by sequential measurements of individual spins in an entangled resource state. However, it remains a challenge to produce efficiently such resource states. Would ... More

Some upper and lower bounds on PSD-rankJul 16 2014Positive semidefinite rank (PSD-rank) is a relatively new quantity with applications to combinatorial optimization and communication complexity. We first study several basic properties of PSD-rank, and then develop new techniques for showing lower bounds ... More

Greatest solutions of equations in $\text{CLL}_R$ and its applicationNov 04 2014This paper explores the process calculus $\text{CLL}_R$ furtherly. First, we prove that for any equation $X=_{RS} t_X$ such that $X$ is strongly guarded in $t_X$, $\langle X|X=t_X \rangle$ is the largest solution w.r.t $\sqsubseteq_{RS}$. Second, we encode ... More

On Recursive Operations Over Logic LTSJan 15 2013Nov 25 2013Recently, in order to mix algebraic and logic styles of specification in a uniform framework, the notion of a logic labelled transition system (Logic LTS or LLTS for short) has been introduced and explored. A variety of constructors over LLTS, including ... More

XMM-Newton Detection of the Rare FR II BAL Quasar FIRST J101614.3+520916Jun 07 2006Aug 05 2006We have detected FIRST J101614.3+520916 with the XMM-Newton X-ray Observatory. FIRST J101614.3+520916, one of the most extreme radio-loud, broad absorption line (BAL) quasars so far discovered, is also a Fanaroff-Riley type II (FR II) radio source. We ... More

Adiabatic Quantum Counting by Geometric Phase EstimationMay 09 2008Aug 21 2009We design an adiabatic quantum algorithm for the counting problem, i.e., approximating the proportion, $\alpha$, of the marked items in a given database. As the quantum system undergoes a designed cyclic adiabatic evolution, it acquires a Berry phase ... More

Minimum Dimension of a Hilbert Space Needed to Generate a Quantum CorrelationJul 01 2015Oct 25 2016Consider a two-party correlation that can be generated by performing local measurements on a bipartite quantum system. A question of fundamental importance is to understand how many resources, which we quantify by the dimension of the underlying quantum ... More

On the greatest solution of equations in $\text{CLL}_R$Feb 12 2015It is shown that, for any equation $X=_{RS} t_X$ in the LLTS-oriented process calculus $\text{CLL}_R$, if $X$ is strongly guarded in $t_X$, then the recursive term $\langle X|X=t_X \rangle$ is the greatest solution of this equation w.r.t L\"{u}ttgen and ... More

Majorization in Quantum Adiabatic AlgorithmsJun 01 2006Sep 01 2010The majorization theory has been applied to analyze the mathematical structure of quantum algorithms. An empirical conclusion by numerical simulations obtained in the previous literature indicates that step-by-step majorization seems to appear universally ... More

Optical Sky Brightness and Transparency During the Winter Season at Dome A Antarctica From the Gattini-Allsky CameraOct 31 2016Nov 08 2016The summit of the Antarctic plateau, Dome A, is proving to be an excellent site for optical, NIR, and THz astronomical observations. GATTINI was a wide-field camera installed on the PLATO instrument module as part of the Chinese-led traverse to Dome A ... More

Optical Sky Brightness and Transparency during the Winter Season at Dome A Antarctica from the Gattini-Allsky CameraOct 31 2016The summit of the Antarctic plateau, Dome A, is proving to be an excellent site for optical, NIR, and THz astronomical observations. GATTINI was a wide-field camera installed on the PLATO instrument module as part of the Chinese-led traverse to Dome A ... More

Photometry of Variable Stars from Dome A, Antarctica: Results from the 2010 Observing SeasonSep 12 2013We present results from a season of observations with the Chinese Small Telescope ARray (CSTAR), obtained over 183 days of the 2010 Antarctic winter. We carried out high-cadence time-series aperture photometry of 20,000 stars with i<15.3 mag located in ... More

A Hierarchical Butterfly LU Preconditioner for Two-Dimensional Electromagnetic Scattering Problems Involving Open SurfacesJan 31 2019This paper introduces a hierarchical interpolative decomposition butterfly-LU factorization (H-IDBF-LU) preconditioner for solving two-dimensional electric-field integral equations (EFIEs) in electromagnetic scattering problems of perfect electrically ... More

Singularites in the Bousseneq equation and in the generalized KdV equationAug 16 2001In this paper, two kinds of the exact singular solutions are obtained by the improved homogeneous balance (HB) method and a nonlinear transformation. The two exact solutions show that special singular wave patterns exists in the classical model of some ... More

Existence and mass concentration of pseudo-relativistic Hartree equationApr 12 2017In this paper, we investigate the constrained minimization problem \begin{equation}\label{eq:0.1} e(a):=\inf_{\{u\in \mathcal{H},\|u\|_2^2=1\}}E_a(u), \end{equation} where the energy functional \begin{equation} \label{eq:0.2} E_a(u)=\int_{\mathbb{R}^3}(u\sqrt{-\Delta+m^2}\,u+Vu^2)\,dx ... More

The Inverse Problem for the Dirichlet-to-Neumann map on Lorentzian manifoldsJul 29 2016Sep 27 2016We consider the Dirichlet-to-Neumann map $\Lambda$ on a cylinder-like Lorentzian manifold related to the wave equation related to the metric $g$, a magnetic field $A$ and a potential $q$. We show that we can recover the jet of $g,A,q$ on the boundary ... More

Botnets Drilling Away Privacy InfrastructureDec 20 2015In this paper, we explore various technologies and their roles in subverting the privacy infrastructure of the Internet. We also provide mitigation techniques on the attack vectors the technologies provide, and assess the overall severity of these threats. ... More

On some properties of nonnegative weakly irreducible tensorsNov 03 2011Mar 13 2012In this paper, we mainly focus on how to generalize some conclusions from nonnegative irreducible tensors to nonnegative weakly irreducible tensors. To do so, a basic and important lemma is proven using new tools. First, we give the definition of stochastic ... More

Atomic and Maximal Function Characterizations of Musielak-Orlicz-Hardy Spaces Associated to Non-negative Self-adjoint Operators on Spaces of Homogeneous TypeAug 30 2018Let $\mathcal{X}$ be a metric space with doubling measure and $L$ a non-negative self-adjoint operator on $L^2(\mathcal{X})$ whose heat kernels satisfy the Gaussian upper bound estimates. Assume that the growth function $\varphi:\ \mathcal{X}\times[0,\infty) ... More

Real-variable Characterizations of Orlicz-Hardy Spaces on Strongly Lipschitz Domains of $\mathbb{R}^n$Jul 17 2011Let $\Omega$ be a strongly Lipschitz domain of $\mathbb{R}^n$, whose complement in $\mathbb{R}^n$ is unbounded. Let $L$ be a second order divergence form elliptic operator on $L^2 (\Omega)$ with the Dirichlet boundary condition, and the heat semigroup ... More

Boundedness of Linear Operators via Atoms on Hardy Spaces with Non-doubling MeasuresJun 07 2009Let $\mu$ be a non-negative Radon measure on ${\mathbb R}^d$ which only satisfies the polynomial growth condition. Let ${\mathcal Y}$ be a Banach space and $H^1(\mu)$ the Hardy space of Tolsa. In this paper, the authors prove that a linear operator $T$ ... More

A note on the geometric simplicity of the spectral radius of nonnegative irreducible tensorsJan 13 2011Mar 13 2012We prove that the spectral radius of even order nonnegative irreducible tensors is real geometrically simple. In the case when the order of the tensor is odd, or in the complex field, some conditions are given to guarantee the geometric simplicity of ... More

Musielak-Orlicz Hardy Spaces Associated with Operators and Their ApplicationsJan 26 2012Jun 29 2012Let $\mathcal{X}$ be a metric space with doubling measure and $L$ a nonnegative self-adjoint operator in $L^2(\mathcal{X})$ satisfying the Davies-Gaffney estimates. Let $\varphi:\,\mathcal{X}\times[0,\infty)\to[0,\infty)$ be a function such that $\varphi(x,\cdot)$ ... More

Thermo and photoacoustic Tomography with variable speed and planar detectorsMay 03 2016We analyze the mathematical model of multiwave tomography with a variable speed with integrating measurements on planes tangent to a sphere surrounding the source. We prove sharp uniqueness and stability estimates with full and partial data and propose ... More

Multiwave tomography with reflectors: Landweber's iterationMar 23 2016Apr 19 2016We use the Landweber method for numerical simulations for the multiwave tomography problem with a reflecting boundary and compare it with the averaged time reversal method. We also analyze the rate of convergence and the dependence on the step size for ... More

Adaptive elastic net and Separate Selection from Least Squares for ultra-high dimensional regression modelsOct 14 2014This paper studies the asymptotic properties of the adaptive elastic net in ultra-high dimensional sparse linear regression models and proposes a new method called SSLS (Separate Selection from Least Squares) to improve prediction accuracy. Besides, we ... More

Research on Information Security Enhancement Approaches and the Applications on HCI SystemsFeb 02 2016With rapid development of computer techniques, the human computer interaction scenarios are becoming more and more frequent. The development history of the human-computer interaction is from a person to adapt to the computer to the computer and continually ... More