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Near-optimal Binary Compressed Sensing MatrixApr 15 2013Oct 02 2013Compressed sensing is a promising technique that attempts to faithfully recover sparse signal with as few linear and nonadaptive measurements as possible. Its performance is largely determined by the characteristic of sensing matrix. Recently several ... More

Biomimetic Polymer Film with Brilliant Brightness Using a One-Step Water Vapor-Induced Phase Separation MethodJun 11 2019The scales of the white Cyphochilus beetles are endowed with unusual whiteness arising from the exceptional scattering efficiency of their disordered ultrastructure optimized through millions of years of evolution. Here, a simple, one-step method based ... More

Learning convolutional neural network to maximize Pos@Top performance measureSep 27 2016Sep 30 2016In the machine learning problems, the performance measure is used to evaluate the machine learning models. Recently, the number positive data points ranked at the top positions (Pos@Top) has been a popular performance measure in the machine learning community. ... More

The complex Monge-Ampére equation on the complement of a divisorMar 28 2018We consider the complex Monge-Amp\'{e}re equation on complete K\"{a}hler manifolds with cusp singularity along a divisor when the right hand side $F$ has rather weak regularity. We proved that when the right hand side $F$ is in some \emph{weighted} $W^{1,p_0}$ ... More

A Sublinear Algorithm of Sparse Fourier Transform for Nonequispaced DataFeb 16 2005We present a sublinear randomized algorithm to compute a sparse Fourier transform for nonequispaced data. Suppose a signal S is known to consist of N equispaced samples, of which only L<N are available. If the ratio p=L/N is not close to 1, the available ... More

An upper bound on distance degenerate handle additionsJul 17 2017We prove that for any distance at least 3 Heegaard splitting and a boundary component $F$, there is a diameter finite ball in the curve complex $\mathcal {C}(F)$ so that it contains all distance degenerate curves or slopes in $F$.

Mathematical definition of general systems based on semiotics and set theoryAug 04 2009Mar 13 2014We clarified the connection between measurements and partitions, and discussed the meaning of semiotics for measurements based on functions. The terms of property and relation quantity were defined by our understanding of partitions and functions. Farther ... More

Learning convolutional neural network to maximize Pos@Top performance measureSep 27 2016In the machine learning problems, the performance measure is used to evaluate the machine learning models. Recently, the number positive data points ranked at the top positions (Pos@Top) has been a popular performance measure in the machine learning community. ... More

The Five Elements of Th1-Th2 SystemMar 18 2008The T helper (Th) phenotypes, Th1/Th2, are acquired upon interaction of a naive T helper cell and an antigen presenting cell (APC). Naive T helper cells may differentiate into either phenotype, and the actual outcome is determined by the density and avidity ... More

Comparison of SVM and Spectral Embedding in Promoter Biobricks' Categorizing and ClusteringFeb 15 2019Feb 18 2019Background: In organisms' genomes, promoters are short DNA sequences on the upstream of structural genes, with the function of controlling genes' transcription. Promoters can be roughly divided into two classes: constitutive promoters and inducible promoters. ... More

Reconstructing fluid dynamics with micro-finite elementAug 21 2017In the theory of the Navier-Stokes equations, the viscous fluid in incompressible flow is modelled as a homogeneous and dense assemblage of constituent "fluid particles" with viscous stress proportional to rate of strain. The crucial concept of fluid ... More

The magnetocaloric and barocaloric effects in Gd5Si2Ge2 compoundDec 09 2010Oct 10 2011The caloric effect in Gd5Si2Ge2 compound is studied experimentally and theoretically. The first-order phase transition is sensitive to both magnetic field and pressure. It indicates that the influences of magnetic field and pressure on the phase transition ... More

Quantum information processing and multi-qubit entanglement with Josephson-junction charge qubits in a thermal cavityJun 10 2003We propose a scheme to implement the two-qubit quantum phase gate with Josephson-junction charge qubits in a thermal cavity. In this scheme, the photon-number-dependent parts in the time evolution operator are canceled at the special time. Thus the scheme ... More

Intelligent Interference Exploitation for Heterogeneous Cellular Networks against EavesdroppingOct 29 2017Jul 24 2018This paper explores the co-existence of a macro cell and a small cell for heterogeneous cellular networks, where a macro base station (MBS) and small base station (SBS) transmit to respective macro user (MU) and small user (SU) through their shared spectrum ... More

Bulk characterization of topological crystalline insulators: stability under interactions and relations to symmetry enriched U(1) quantum spin liquidsNov 08 2017Jan 16 2018Topological crystalline insulators (TCIs) are nontrivial quantum phases of matter protected by crystalline (and other) symmetries. They are originally predicted by band theories, so an important question is their stability under interactions. In this ... More

Entanglement of three cavity fields via resonant interactions with dressed three-level atomsNov 09 2013In this paper we show that three cavity fields can be entangled when they are tuned on resonance with an ensemble of dressed three-level atoms. The master equation for the three cavity modes is derived by using atomic dressed states and the inseparability ... More

A Rational Model of Large-Scale Motion in TurbulenceMay 30 2011A rational theory is proposed to describe the large-scale motion in turbulence. The fluid element with inner orientational structures is proposed to be the building block of fluid dynamics. The variance of the orientational structures then constitutes ... More

Physical-Layer Security for Spectrum Sharing SystemsDec 20 2016Dec 22 2016In this paper, we examine the physical-layer security for a spectrum sharing system consisting of multiple source-destination pairs, which dynamically access their shared spectrum for data transmissions in the presence of an eavesdropper. We propose a ... More

Non-Abrikosov vortices in liquid metallic hydrogenJul 05 2013We consider non-Abrikosov vortex solutions in liquid metallic hydrogen (LMH) in the framework of two-component Ginzburg-Landau model. We have shown that there are three types of non-Abrikosov vortices depending on chosen boundary conditions at the core ... More

On Breiman's Dilemma in Neural Networks: Phase Transitions of Margin DynamicsOct 08 2018Oct 18 2018Margin enlargement over training data has been an important strategy since perceptrons in machine learning for the purpose of boosting the robustness of classifiers toward a good generalization ability. Yet Breiman shows a dilemma (Breiman, 1999) that ... More

Collective spin of 10^{11} hot atoms with reduced quantum uncertaintyNov 16 2018Mar 27 2019Quantum noise limits the precision of any measurement that uses coherent states. However, advances in generation of quantum entangled states, such as spin squeezed states, allows breaking this fundamental limit. Typically, experimental realizations of ... More

A nonlinear elliptic PDE with multiple Hardy-Sobolev critical exponents in $\R^N$Apr 05 2015In this paper, we will study the following PDE in $\R^N$ involving multiple Hardy-Sobolev critical exponents: $$ \begin{cases} \Delta u+\sum_{i=1}^{l}\lambda_i \frac{u^{2^*(s_i)-1}}{|x|^{s_i}}+u^{2^*-1}=0\;\hbox{in}\;\R^N,\\ u\in D_{0}^{1,2}(\R^N), \end{cases} ... More

Optimal Investment with Transaction Costs under Cumulative Prospect Theory in Discrete TimeNov 15 2015Nov 13 2016We study optimal investment problems under the framework of cumulative prospect theory (CPT). A CPT investor makes investment decisions in a single-period financial market with transaction costs. The objective is to seek the optimal investment strategy ... More

Evidence for Some New Hyperon Resonances -- to be Checked by $K_L$ Beam ExperimentsMar 12 2016Quenched and unquenched quark models predict very different patterns for the spectrum of the low excited hyperon states. Evidence is accumulating for the existence of some new hyperon resonances, such as a $\Sigma^*$ of spin-parity $J^P=1/2^-$ around ... More

Nonlocal coupling effects on single-photon transmission in a one-dimensional waveguide interacted with a side optical cavityApr 30 2014The nonlocal coupling effect between a one-dimensional waveguide (1DW) and a side optical cavity (SOC) is studied. We first find the real-space Hamiltonian of the nonlocal-coupling system of the 1DW and SOC, and then derive out an equation determining ... More

Penta-quark states with hidden charm and beautySep 22 2011More and more hadron states are found to be difficult to be accommodated by the quenched quark models which describe baryons as 3-quark states and mesons as antiquark-quark states. Dragging out an antiquark-quark pair from the gluon field in hadrons should ... More

Intersecting Faces: Non-negative Matrix Factorization With New GuaranteesJul 08 2015Non-negative matrix factorization (NMF) is a natural model of admixture and is widely used in science and engineering. A plethora of algorithms have been developed to tackle NMF, but due to the non-convex nature of the problem, there is little guarantee ... More

A Galerkin finite element method for time-fractional stochastic heat equationDec 07 2016In this article, we firstly consider a Galerkin finite element method for the time-fractional stochastic heat equation driven by multiplicative noise, which arise from the consideration of the heat equation in a material with random effects with thermal ... More

$N^*$ Production from $e^+e^-$ AnnihilationsJan 30 2018Up to now, the $N^*$ production from $e^+e^-$ annihilations has been studied only around charmonium region. Charmonium decays to $N^*$s are analogous to (time-like) EM form factors in that the charm quark annihilation provides a nearly pointlike (ggg) ... More

Supersymmetric Localization in GLSMs for SupermanifoldsJul 14 2018In this paper we apply supersymmetric localization to study gauged linear sigma models (GLSMs) describing supermanifold target spaces. We use the localization method to show that A-twisted GLSM correlation functions for certain supermanifolds are equivalent ... More

A Galerkin finite element method for time-fractional stochastic heat equationDec 07 2016Mar 10 2018In this study, a Galerkin finite element method is presented for time-fractional stochastic heat equation driven by multiplicative noise, which arises from the consideration of heat transport in porous media with thermal memory with random effects. The ... More

Autowarp: Learning a Warping Distance from Unlabeled Time Series Using Sequence AutoencodersOct 23 2018Measuring similarities between unlabeled time series trajectories is an important problem in domains as diverse as medicine, astronomy, finance, and computer vision. It is often unclear what is the appropriate metric to use because of the complex nature ... More

Conditional implementation of a quantum phase gate with distant atoms trapped in different optical cavitiesJan 09 2004We propose a scheme for conditional implementation of a quantum phase gate by using distant atoms trapped in different optical cavities. Instead of direct interaction between atoms, the present scheme makes use of quantum interference of polarized photons ... More

Randomized Algorithms for Large-scale Inverse Problems with General RegularizationsDec 29 2014We shall investigate randomized algorithms for solving large-scale linear inverse problems with general regularizations. We first present some techniques to transform inverse problems of general form into the ones of standard form, then apply randomized ... More

Data Shapley: Equitable Valuation of Data for Machine LearningApr 05 2019As data becomes the fuel driving technological and economic growth, a fundamental challenge is how to quantify the value of data in algorithmic predictions and decisions. For example, in healthcare and consumer markets, it has been suggested that individuals ... More

Arbitrated quantum signature schemes without using entangled statesMar 11 2010A digital signature is a mathematical scheme for demonstrating the authenticity of a digital message or document. For signing quantum messages, some arbitrated quantum signature schemes have being proposed. However, in the existing literature, arbitrated ... More

Asymptotic order of the geometric mean error for some self-affine measuresFeb 28 2019Let $E$ be a Bedford-McMullen carpet associated with a set of affine mappings $\{f_{ij}\}_{(i,j)\in G}$ and let $\mu$ be the self-affine measure associated with $\{f_{ij}\}_{(i,j)\in G}$ and a probability vector $(p_{ij})_{(i,j)\in G}$. We study the asymptotics ... More

Iso-parametric tool path planning for point cloudsNov 15 2018The computational consuming and non-robust reconstruction from point clouds to either meshes or spline surfaces motivates the direct tool path planning for point clouds. In this paper, a novel approach for planning iso-parametric tool path from a point ... More

Finite volume schemes of any order on rectangular meshesJul 03 2012In this paper, we analyze vertex-centered finite volume method (FVM) of any order for elliptic equations on rectangular meshes. The novelty is a unified proof of the inf-sup condition, based on which, we show that the FVM approximation converges to the ... More

HAlign-II: efficient ultra-large multiple sequence alignment and phylogenetic tree reconstruction with distributed and parallel computingApr 04 2017Multiple sequence alignment (MSA) plays a key role in biological sequence analyses, especially in phylogenetic tree construction. Extreme increase in next-generation sequencing results in shortage of efficient ultra-large biological sequence alignment ... More

A perturbed nonlinear elliptic PDE with two Hardy-Sobolev critical exponentsApr 03 2015Jul 04 2015Let $\Omega$ be a $C^1$ open bounded domain in $\R^N$ ($N\geq 3$) with $0\in \partial \Omega$. Suppose that $\partial\Omega$ is $C^2$ at $0$ and the mean curvature of $\partial\Omega$ at $0$ is negative. Consider the following perturbed PDE involving ... More

Modeling and control of a cable-driven series elastic actuatorJan 14 2017Sep 17 2018Series elastic actuators (SEA) are playing an increasingly important role in the fields of physical human-robot interaction. This paper focuses on the modeling and control of a cable-driven SEA. First, the scheme of the cable-driven SEA has been proposed, ... More

Charmless $B \to PP $ decays and the new physics effects in the minimal supergravity modelJul 19 2004Oct 08 2004By employing the QCD factorization approach, we calculate the new physics contributions to the branching radios of the two-body charmless $ B \to PP$ decays in the framework of the minimal supergravity (mSUGRA) model. Within the considered parameter space, ... More

Learning Cross-lingual Distributed Logical Representations for Semantic ParsingJun 14 2018With the development of several multilingual datasets used for semantic parsing, recent research efforts have looked into the problem of learning semantic parsers in a multilingual setup. However, how to improve the performance of a monolingual semantic ... More

Hierarchical Meta LearningApr 19 2019Meta learning is a promising solution to few-shot learning problems. However, existing meta learning methods are restricted to the scenarios where training and application tasks share the same out-put structure. To obtain a meta model applicable to the ... More

Cognitive Network Cooperation for Green Cellular NetworksFeb 18 2016In recent years, there has been a growing interest in green cellular networks for the sake of reducing the energy dissipated by communications and networking devices, including the base stations (BSs) and battery-powered user terminals (UTs). This paper ... More

Structures of Coincidence Symmetry GroupsAug 29 2006The structure of the coincidence symmetry group of an arbitrary $n$-dimensional lattice in the $n$-dimensional Euclidean space is considered by describing a set of generators. Particular attention is given to the coincidence isometry subgroup (the subgroup ... More

On Lipschitz Analysis and Lipschitz Synthesis for the Phase Retrieval ProblemJun 06 2015In this paper we prove two results regarding reconstruction from magnitudes of frame coefficients (the so called "phase retrieval problem"). First we show that phase retrievability as an algebraic property implies that nonlinear maps are bi-Lipschitz ... More

Another Look at DWD: Thrifty Algorithm and Bayes Risk Consistency in RKHSAug 24 2015Distance weighted discrimination (DWD) is a margin-based classifier with an interesting geometric motivation. DWD was originally proposed as a superior alternative to the support vector machine (SVM), however DWD is yet to be popular compared with the ... More

Optimal Investment with Transaction Costs under Cumulative Prospect Theory in Discrete TimeNov 15 2015We study optimal investment problems with transaction costs under Kahneman and Tversky's cumulative prospective theory (CPT). A CPT investor makes investment decisions in a single-period discrete time financial market consisting of one risk-free asset ... More

Five-quark components in baryonsJan 07 2010Evidence has been accumulating for the existence of significant intrinsic non-perturbative five-quark components in various baryons. The inclusion of the five-quark components gives a natural explanation of the excess of $\bar d$ over $\bar u$, significant ... More

Multi-quark components in baryonsSep 30 2005A brief review on some recent progresses in our understanding of multi-quark components in baryons is presented. The multi-quark components in baryons seem to be mainly in colored quark cluster configurations rather than in ``meson cloud'' configurations ... More

Light Hadron Spectroscopy at BEPCNov 14 2000The $J/\Psi$ and $\Psi'$ experiments at the Beijing Electron Positron Collider (BEPC) play a unique role in many aspects of light hadron spectroscopy, such as hunting for glueballs and hybrids, extracting $u\bar u+d\bar d$ and $s\bar s$ components of ... More

Okubo-Zweig-Iizuka Rule Violation and Possible ExplanationsNov 05 1996Violations of the Okubo-Zweig-Iizuka (OZI) rule in $s\bar s <-> n\bar n = 1/2 (u\bar u + d\bar d)$ mixing and $\phi$ production from nucleon-antinucleon annihilation are reviewed. Possible explanations are examined. We conclude that the two-step hadronic ... More

How much does your data exploration overfit? Controlling bias via information usageNov 16 2015Oct 06 2016Modern data is messy and high-dimensional, and it is often not clear a priori what are the right questions to ask. Instead, the analyst typically needs to use the data to search for interesting analyses to perform and hypotheses to test. This is an adaptive ... More

Stochastic EM for Shuffled Linear RegressionApr 02 2018We consider the problem of inference in a linear regression model in which the relative ordering of the input features and output labels is not known. Such datasets naturally arise from experiments in which the samples are shuffled or permuted during ... More

Transport in gapped bilayer graphene: the role of potential fluctuationsAug 04 2010We employ a dual-gated geometry to control the band gap \Delta in bilayer graphene and study the temperature dependence of the resistance at the charge neutrality point, RNP(T), from 220 to 1.5 K. Above 5 K, RNP(T) is dominated by two thermally activated ... More

Minimizing Close-k Aggregate Loss Improves ClassificationNov 01 2018Nov 03 2018In classification, the de facto method for aggregating individual losses is the average loss. When the actual metric of interest is 0-1 loss, it is common to minimize the average surrogate loss for some well-behaved (e.g. convex) surrogate. Recently, ... More

The Impact of Countdown Clocks on Subway Ridership in New York CityDec 26 2018Protecting the passengers' safety and increasing ridership are two never ending pursuits of public transit agencies. One of the proposed methods to achieve both goals for subway service is to implement real time train arriving countdown clocks in subway ... More

On Isolated Singularities of Fractional Semi-Linear Elliptic EquationsApr 03 2018In this paper, we study the local behavior of nonnegative solutions of fractional semi-linear equations $(-\Delta)^\sigma u = u^p$ with an isolated singularity, where $\sg \in (0, 1)$ and $\frac{n}{n-2\sg} < p < \frac{n+2\sg}{n-2\sg}$. We first use blow ... More

On Elliptic Systems involving critical Hardy-Sobolev exponents (Part II)Apr 12 2015Jul 07 2015This paper is the second part of a work devoted to the study of elliptic systems involving multiple Hardy-Sobolev critical exponents: $$\begin{cases} -\Delta u-\lambda \frac{|u|^{2^*(s_1)-2}u}{|x|^{s_1}}=\kappa\alpha \frac{1}{|x|^{s_2}}|u|^{\alpha-2}u|v|^\beta\quad ... More

On Elliptic Systems involving critical Hardy-Sobolev exponentsApr 04 2015Jul 07 2015Let $\Omega\subset \R^N$ ($N\geq 3$) be an open domain which is not necessarily bounded. By using variational methods, we consider the following elliptic systems involving multiple Hardy-Sobolev critical exponents: $$\begin{cases} -\Delta u-\lambda \frac{|u|^{2^*(s_1)-2}u}{|x|^{s_1}}=\kappa\alpha ... More

Charmless $B \to PV, VV $ decays and new physics effects in the mSUGRA modelJul 11 2005Oct 24 2005By employing the QCD factorization approach, we calculate the new physics contributions to the branching radios of the two-body charmless $ B \to PV$ and $B \to VV$ decays in the framework of the minimal supergravity (mSUGRA) model. we choose three typical ... More

Positive Least Energy Solutions and Phase Separation for Coupled Schrodinger Equations with Critical Exponent: Higher Dimensional CaseSep 12 2012Aug 15 2013We study the following nonlinear Schr\"{o}dinger system which is related to Bose-Einstein condensate: {displaymath} {cases}-\Delta u +\la_1 u = \mu_1 u^{2^\ast-1}+\beta u^{\frac{2^\ast}{2}-1}v^{\frac{2^\ast}{2}}, \quad x\in \Omega, -\Delta v +\la_2 v ... More

Sampling of surfaces and functions in high dimensional spacesMar 03 2019We introduce a sampling theoretic framework for the recovery of smooth surfaces and functions living on smooth surfaces from few samples. The proposed approach can be thought of as a nonlinear generalization of union of subspace models widely used in ... More

A Framework towards Quantifying Human Restorativeness in Virtual Built EnvironmentsFeb 14 2019The impact of built environment on the human restorativeness has long been argued; however, the interrelations between neuroscience and the built environment, and the degree to which the built environment contributes to increased human restorativeness ... More

Stochastic Kriging for Inadequate Simulation ModelsFeb 02 2018Feb 13 2018Stochastic kriging is a popular metamodeling technique for representing the unknown response surface of a simulation model. However, the simulation model may be inadequate in the sense that there may be a non-negligible discrepancy between it and the ... More

Hall Resistivity in Ferromagnetic Manganese-Oxide CompoundsJun 05 1996Temperature-dependence and magnetic field-dependence of the Hall effect and the magnetic property in manganese-oxide thin films are studied. The spontaneous magnetization and the Hall resistivity are obtained for a various of magnetic fields over all ... More

CoCoLasso for High-dimensional Error-in-variables RegressionOct 24 2015Jan 01 2016Much theoretical and applied work has been devoted to high-dimensional regression with clean data. However, we often face corrupted data in many applications where missing data and measurement errors cannot be ignored. Loh and Wainwright (2012) proposed ... More

Composite quantile regression and the oracle Model Selection TheoryJun 18 2008Coefficient estimation and variable selection in multiple linear regression is routinely done in the (penalized) least squares (LS) framework. The concept of model selection oracle introduced by Fan and Li [J. Amer. Statist. Assoc. 96 (2001) 1348--1360] ... More

Rejoinder: One-step sparse estimates in nonconcave penalized likelihood modelsAug 07 2008We would like to take this opportunity to thank the discussants for their thoughtful comments and encouragements on our work [arXiv:0808.1012]. The discussants raised a number of issues from theoretical as well as computational perspectives. Our rejoinder ... More

An Improved Analysis of Training Over-parameterized Deep Neural NetworksJun 11 2019A recent line of research has shown that gradient-based algorithms with random initialization can converge to the global minima of the training loss for over-parameterized (i.e., sufficiently wide) deep neural networks. However, the condition on the width ... More

3-manifolding admitting locally large distance 2 Heegaard splittingsSep 17 2015Oct 26 2015From the view of Heegaard splitting, it is known that if a closed orientable 3-manifold admits a distance at least three Heegaard splitting, then it is hyperbolic. However, for a closed orientable 3-manifold admitting only distance at most two Heegaard ... More

On a problem of countable expansionsMar 25 2015Aug 01 2015For a real number $q\in(1,2)$ and $x\in[0,1/(q-1)]$, the infinite sequence $(d_i)$ is called a \emph{$q$-expansion} of $x$ if $$ x=\sum_{i=1}^\infty\frac{d_i}{q^i},\quad d_i\in\{0,1\}\quad\textrm{for all}~ i\ge 1. $$ For $m=1, 2, \cdots$ or $\aleph_0$ ... More

Indices of Coincidence Isometries of the Hyper Cubic Lattice $Z^n$Aug 29 2006The problem of computing the index of a coincidence isometry of the hyper cubic lattice $\mathbb{Z}^{n}$ is considered. The normal form of a rational orthogonal matrix is analyzed in detail, and explicit formulas for the index of certain coincidence isometries ... More

Josephson oscillations and self-trapping of superfluid fermions in a double-well potentialJan 09 2014We investigate the behaviour of a two-component Fermi superfluid in a double-well potential. We numerically solve the time dependent Bogoliubov-de Gennes equations and characterize the regimes of Josephson oscillations and self-trapping for different ... More

Explicit Solutions of Optimal Consumption, Investment and Insurance Problem with Regime SwitchingFeb 14 2014Jun 23 2014We consider an investor who wants to select her/his optimal consumption, investment and insurance policies. Motivated by new insurance products, we allow not only the financial marke but also the insurable loss to depend on the regime of the economy. ... More

Reply to "Comment on 'Semiquantum-key distribution using less than four quantum states' "Oct 20 2010Recently Boyer and Mor pointed out the first conclusion of Lemma 1 in our original paper is not correct, and therefore, the proof of Theorem 5 based on Lemma 1 is wrong. Furthermore, they gave a direct proof for Theorem 5 and affirmed the conclusions ... More

Multiplicity and concentration behavior of solutions to the critical Kirchhoff type problemJul 13 2016In this paper, we study the multiplicity and concentration of the positive solutions to the following critical Kirchhoff type problem: \begin{equation*} -\left(\varepsilon^2 a+\varepsilon b\int_{\R^3}|\nabla u|^2\mathrm{d} x\right)\Delta u + V(x) u = ... More

CP violation of the two-body charmless hadronic B decays in the minimal supergravity ModelJan 14 2006Feb 20 2006By choosing two typical input parameter points in the minimal supergravity (mSUGRA) model and using the QCD factorization (QCDF) approach, we studied the supersymmetric effects to the CP violation of the two-body charmless hadronic $B$ meson decays. We ... More

Impedance control of a cable-driven SEA with mixed $H_2/H_\infty$ synthesisMar 23 2019Purpose: This paper presents an impedance control method with mixed $H_2/H_\infty$ synthesis and relaxed passivity for a cable-driven series elastic actuator to be applied for physical human-robot interaction. Design/methodology/approach: To shape the ... More

Existence of extremal functions for a family of Caffarelli-Kohn-Nirenberg inequalitiesApr 02 2015Consider the following inequalities due to Caffarelli, Kohn and Nirenberg {\it (Compositio Mathematica,1984):} $$\Big(\int_\Omega \frac{|u|^r}{|x|^s}dx\Big)^{\frac{1}{r}}\leq C(p,q,r,\mu,\sigma,s)\Big(\int_\Omega \frac{|\nabla u|^p}{|x|^\mu}dx\Big)^{\frac{a}{p}}\Big(\int_\Omega ... More

Hyperspectral Unmixing with Endmember Variability using Partial Membership Latent Dirichlet AllocationSep 12 2016The application of Partial Membership Latent Dirichlet Allocation(PM-LDA) for hyperspectral endmember estimation and spectral unmixing is presented. PM-LDA provides a model for a hyperspectral image analysis that accounts for spectral variability and ... More

On pressure and velocity flow boundary conditions and bounceback for the lattice Boltzmann BGK modelNov 21 1996Pressure (density) and velocity boundary conditions inside a flow domain are studied for 2-D and 3-D lattice Boltzmann BGK models (LBGK) and a new method to specify these conditions are proposed. These conditions are constructed in consistency of the ... More

Leveraging Data Driven Approaches to Quantify the Impact of Construction Projects on Urban Quality of LifeJan 25 2019Feb 05 2019According to the World Bank, more than half of the world's population now lives in cities, creating burdens on the degraded city infrastructures and driving up the demand for new ones. Construction sites are abundant in already dense cities and have unavoidable ... More

A Direct Sampling Method for Inverse Scattering Using Far-Field DataJun 02 2012Dec 25 2012This work is concerned with a direct sampling method (DSM) for inverse acoustic scattering problems using far-field data. The method characterizes some unknown obstacles, inhomogeneous media or cracks, directly through an indicator function computed from ... More

Vast volatility matrix estimation for high-frequency financial dataFeb 25 2010High-frequency data observed on the prices of financial assets are commonly modeled by diffusion processes with micro-structure noise, and realized volatility-based methods are often used to estimate integrated volatility. For problems involving a large ... More

Existence, nonexistence, symmetry and uniqueness of ground state for critical Schrödinger system involving Hardy termAug 03 2016We study the following elliptic system with critical exponent: \begin{displaymath} \begin{cases}-\Delta u_j-\frac{\lambda_j}{|x|^2}u_j=u_j^{2^*-1}+\sum\limits_{k\neq j}\beta_{jk}\alpha_{jk}u_j^{\alpha_{jk}-1}u_k^{\alpha_{kj}},\;\;x\in\R^N, u_j\in D^{1,2}(\R^N),\quad ... More

A quick estimation of luminosity function based on the luminosity-distance diagramJan 12 2017Based on the luminosity-distance diagram, we propose a method to quickly estimate the luminosity function for any certain astrophysical objects. Giving the mean distance between any two objects at a given luminosity range, we can find the relation between ... More

Representing Boolean Functions Using Polynomials: More Can Offer LessJul 02 2013Polynomial threshold gates are basic processing units of an artificial neural network. When the input vectors are binary vectors, these gates correspond to Boolean functions and can be analyzed via their polynomial representations. In practical applications, ... More

Invariants and orthogonal $q$-polynomials associated with $\Bbb{C}_{q}(osp(1,2))$Aug 28 2006The spaces of invariants and the zonal spherical functions associated with quantum super 2-shpheres defined by $\Bbb{C}_{q}(osp(1,2))$ are discussed. Connection between the zonal spherical functions and orthogonal $q$-polynomials from the Askey-Wilson ... More

Spikes of the two-component elliptic system in $\bbr^4$ with Sobolev critical exponentApr 02 2018Consider the following elliptic system: \begin{equation*} \left\{\aligned&-\ve^2\Delta u_1+\lambda_1u_1=\mu_1u_1^3+\alpha_1u_1^{p-1}+\beta u_2^2u_1\quad&\text{in}\Omega,\\ &-\ve^2\Delta u_2+\lambda_2u_2=\mu_2u_2^3+\alpha_2u_2^{p-1}+\beta u_1^2u_2\quad&\text{in}\Omega,\\ ... More

Encoding Robust Representation for Graph GenerationSep 28 2018Jan 15 2019Generative networks have made it possible to generate meaningful signals such as images and texts from simple noise. Recently, generative methods based on GAN and VAE were developed for graphs and graph signals. However, the mathematical properties of ... More

Graph Convolutional Neural Networks via ScatteringMar 31 2018Nov 18 2018We generalize the scattering transform to graphs and consequently construct a convolutional neural network on graphs. We show that under certain conditions, any feature generated by such a network is approximately invariant to permutations and stable ... More

A unified treatment for Lp Brunn-Minkowski type inequalitiesJul 25 2016A unified approach used to generalize classical Brunn-Minkowski type inequalities to Lp Brunn-Minkowski type inequalities, called the Lp transference principle, is refined in this paper. As illustrations of the effectiveness and practicability of this ... More

Time-Reversal Routing for Dispersion Code Multiple Access (DCMA) CommunicationsSep 23 2017We present the modeling and characterization of a time-reversal routing dispersion code multiple access (TR-DCMA) system. We show that this system maintains the low complexity advantage of DCMA transceivers while offering dynamic adaptivity for practial ... More

Dimensional decoupling at continuous quantum critical Mott transitionsMar 30 2016Jul 30 2016For continuous Mott metal-insulator transitions in layered two dimensional systems, we demonstrate the phenomenon of dimensional decoupling: the system behaves as a three-dimensional metal in the Fermi liquid side but as a stack of decoupled two-dimensional ... More

A High-Resolution Transmission-Type (TT) Phaser Based on Reflection-Type (RT) Units for Radio Analog Signal Processing (R-ASP)Jul 15 2014A high Radio Analog Signal Processing (R-ASP) resolution transmission-type (TT) phaser based on reflection-type (RT) phaser units is introduced, theoretically studied and experimentally demonstrated. It is first shown that RT phasers inherently exhibit ... More

Myelin figures: the buckling and flow of wet soapMar 28 2009May 28 2009Myelin figures are interfacial structures formed when certain surfactants swell in excess water. Here, I present data and model calculations suggesting myelin formation and growth is due to the fluid flow of surfactant, driven by the hydration gradient ... More

Effect of Level Statistics on Local Magnetism in Nanoscale Metallic GrainsJun 04 1998Effect of level statistics on local electronic states and local magnetism in nanoscale metallic grains with transition-metal impurity in the ballistic regime is studied. It is shown that the mean occupation of local electron and the local magnetic moment ... More