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Stochastic Block Coordinate Frank-Wolfe Algorithm for Large-Scale Biological Network AlignmentMay 25 2015May 26 2015With increasingly "big" data available in biomedical research, deriving accurate and reproducible biology knowledge from such big data imposes enormous computational challenges. In this paper, motivated by recently developed stochastic block coordinate ... More

Optimal Bayesian Transfer LearningJan 02 2018May 25 2018Transfer learning has recently attracted significant research attention, as it simultaneously learns from different source domains, which have plenty of labeled data, and transfers the relevant knowledge to the target domain with limited labeled data ... More

BNP-Seq: Bayesian Nonparametric Differential Expression Analysis of Sequencing Count DataAug 13 2016We perform differential expression analysis of high-throughput sequencing count data under a Bayesian nonparametric framework, removing sophisticated ad-hoc pre-processing steps commonly required in existing algorithms. We propose to use the gamma (beta) ... More

Experimental Design via Generalized Mean Objective Cost of UncertaintyMay 03 2018The mean objective cost of uncertainty (MOCU) quantifies the performance cost of using an operator that is optimal across an uncertainty class of systems as opposed to using an operator that is optimal for a particular system. MOCU-based experimental ... More

Fast Exact Computation of Expected HyperVolume ImprovementDec 18 2018Jan 23 2019In multi-objective Bayesian optimization and surrogate-based evolutionary algorithms, Expected HyperVolume Improvement (EHVI) is widely used as the acquisition function to guide the search approaching the Pareto front. This paper focuses on the exact ... More

Qutrit Dichromatic Calculus and Its UniversalityJun 08 2014Dec 30 2014We introduce a dichromatic calculus (RG) for qutrit systems. We show that the decomposition of the qutrit Hadamard gate is non-unique and not derivable from the dichromatic calculus. As an application of the dichromatic calculus, we depict a quantum algorithm ... More

Detection of Cooperative Interactions in Logistic Regression ModelsFeb 12 2016An important problem in the field of bioinformatics is to identify interactive effects among profiled variables for outcome prediction. In this paper, a simple logistic regression model with pairwise interactions among a set of binary covariates is considered. ... More

Safe Active Feature Selection for Sparse LearningJun 15 2018Jun 19 2018We present safe active incremental feature selection~(SAIF) to scale up the computation of LASSO solutions. SAIF does not require a solution from a heavier penalty parameter as in sequential screening or updating the full model for each iteration as in ... More

Optimal Clustering with Missing ValuesFeb 26 2019Missing values frequently arise in modern biomedical studies due to various reasons, including missing tests or complex profiling technologies for different omics measurements. Missing values can complicate the application of clustering algorithms, whose ... More

Detection of Cooperative Interactions in Logistic Regression ModelsFeb 12 2016Dec 28 2016An important problem in the field of bioinformatics is to identify interactive effects among profiled variables for outcome prediction. In this paper, a logistic regression model with pairwise interactions among a set of binary covariates is considered. ... More

Boundary effect on acoustic cloak with unideal pentamode materialNov 06 2018Dec 20 2018Pentamode materials are elastic solids with vanishing shear modulus, and can be used cloak underwater sound with solid state and broadband merits. However, pentamode materials realized with real microstructure have inevitable small shear modulus. This ... More

Constraint condition on transformed relation for generalized acousticsDec 30 2009Nov 24 2011Contrary to transformation optics (TO), there exist many possibilities for transformed relations of material property and field variable in case of transformation acoustics (TA). To investigate the underlining mechanism and develop a general method that ... More

Prognostics of Surgical Site Infections using Dynamic Health DataNov 12 2016Surgical Site Infection (SSI) is a national priority in healthcare research. Much research attention has been attracted to develop better SSI risk prediction models. However, most of the existing SSI risk prediction models are built on static risk factors ... More

Adaptive Activity Monitoring with Uncertainty Quantification in Switching Gaussian Process ModelsJan 08 2019Emerging wearable sensors have enabled the unprecedented ability to continuously monitor human activities for healthcare purposes. However, with so many ambient sensors collecting different measurements, it becomes important not only to maintain good ... More

Bayesian multi-domain learning for cancer subtype discovery from next-generation sequencing count dataOct 22 2018Precision medicine aims for personalized prognosis and therapeutics by utilizing recent genome-scale high-throughput profiling techniques, including next-generation sequencing (NGS). However, translating NGS data faces several challenges. First, NGS count ... More

Differential Expression Analysis of Dynamical Sequencing Count Data with a Gamma Markov ChainMar 07 2018Next-generation sequencing (NGS) to profile temporal changes in living systems is gaining more attention for deriving better insights into the underlying biological mechanisms compared to traditional static sequencing experiments. Nonetheless, the majority ... More

Autonomous Efficient Experiment Design for Materials Discovery with Bayesian Model AveragingMar 14 2018Oct 30 2018The accelerated exploration of the materials space in order to identify configurations with optimal properties is an ongoing challenge. Current paradigms are typically centered around the idea of performing this exploration through high-throughput experimentation/computation. ... More

Scalable optimal Bayesian classification of single-cell trajectories under regulatory model uncertaintyFeb 08 2019Single-cell gene expression measurements offer opportunities in deriving mechanistic understanding of complex diseases, including cancer. However, due to the complex regulatory machinery of the cell, gene regulatory network (GRN) model inference based ... More

On Diffeomorphism Invariance and Black Hole EntropyApr 09 2003The Noether-charge realization and the Hamiltonian realization for the $\diff({\cal M})$ algebra in diffeomorphism invariant gravitational theories are studied in a covariant formalism. For the Killing vector fields, the Nother-charge realization leads ... More

Black Hole Mass Formula Is a Vanishing Noether ChargeJan 31 2002The Noether current and its variation relation with respect to diffeomorphism invariance of gravitational theories have been derived from the horizontal variation and vertical-horizontal bi-variation of the Lagrangian, respectively. For Einstein's GR ... More

Fluid/Gravity Correspondence For General Non-rotating Black HolesMar 15 2013In this paper, we investigate the fluid/gravity correspondence in spacetime with general non-rotating weakly isolated horizon. With the help of Petrov-like boundary condition and large mean curvature limit, we show that the dual hydrodynamical system ... More

New electromagnetic memories and soft photon theoremsMar 20 2017Jun 08 2017In this paper, we present a new type of electromagnetic memory. It is a `magnetic' type, or B mode, radiation memory effect. Rather than a residual velocity, we find a position displacement of a charged particle induced by the B mode radiation with memory. ... More

MMDF2018 Workshop ReportAug 30 2018Driven by the recent advances in smart, miniaturized, and mass produced sensors, networked systems, and high-speed data communication and computing, the ability to collect and process larger volumes of higher veracity real-time data from a variety of ... More

Transformation Ray Method: Controlling High Frequency Elastic WavesOct 24 2011A transformation method based on elastic ray theory is proposed to control high frequency elastic waves. We show that ray path can be controlled in an exact manner, however energy distribution along the ray is only approximately controlled. A numerical ... More

The Discrete AKNS-D HierarchyJun 06 2006In this paper, we consider the discrete AKNS-D hierarchy, find the construction of the hierarchy, prove the bilinear identity and give the construction of the $\tau$-functions of this hierarchy.

The Quasi-normal Modes of Charged Scalar Fields in Kerr-Newman black hole and Its Geometric InterpretationJun 27 2015Nov 01 2015It is well-known that there is a geometric correspondence between high-frequency quasi-normal modes (QNMs) and null geodesics (spherical photon orbits). In this paper, we generalize such correspondence to charged scalar field in Kerr-Newman space-time. ... More

Multi-Objective Bayesian Materials Discovery: Application on the Discovery of Precipitation Strengthened NiTi Shape Memory Alloys through Micromechanical ModelingJul 18 2018In this study, a framework for the multi-objective materials discovery based on Bayesian approaches is developed. The capabilities of the framework are demonstrated on an example case related to the discovery of precipitation strengthened NiTi shape memory ... More

Position space of Doubly Special RelativityNov 04 2003Dec 08 2003We consider three possible approaches to formulating coordinate transformations on position space associated with non-linear Lorentz transformations on momentum space. The first approach uses the definition of velocity and gives the standard Lorentz transformation. ... More

Ensemble Estimation of Large Sparse Covariance Matrix Based on Modified Cholesky DecompositionJan 01 2018Estimation of large sparse covariance matrices is of great importance for statistical analysis, especially in the high dimensional setting. The traditional approach such as sample covariance matrix could perform poorly due to the high dimensionality. ... More

New approach to Fully Nonlinear Adiabatic TWM TheoryApr 20 2016May 04 2016I'm presenting a new elegant formulation of the theory of fully nonlinear adiabatic TWM (FNA-TWM) in terms of elliptic function here. Note that the linear case of SFG and DFG in the undepleted pump approximation described by the FVH representation has ... More

Conditioning a Brownian loop-soup cluster on a portion of its boundaryOct 28 2016We show that if one conditions a cluster in a Brownian loop-soup $L$ (of any intensity) in a two-dimensional domain by a portion $l$ of its outer boundary, then in the remaining domain, the union of all the loops of $L$ that touch $l$ satisfies the conformal ... More

Dissipative Stability Conditions for Linear Coupled Differential-Difference Systems via a Dynamical Constraints ApproachJul 07 2017Oct 26 2017In this short note, we derive dissipative conditions with slack variables for a linear coupled differential-difference (CDDS) via constructing a Krasovskii functional. The approach can be interpreted as a generalization of the Finsler Lemma approach for ... More

Separability of Multipartite Quantum States with Strong Positive Partial TransposeApr 29 2018May 01 2018We generalize the definition of strong positive partial transpose (SPPT) to the multipartite system. The tripartite case was first considered by X.-Y. Yu and H. Zhao [ Int. J. Theor. Phys.,54, 292, (2015)]. In this extension, unfortunately, desired properties ... More

Constraining Photon Mass by Energy-Dependent Gravitational Light BendingJun 06 2014In the standard model of particle physics, photons are mass-less particles with a particular dispersion relation. Tests of this claim at different scales are both interesting and important. Experiments in territory labs and several exterritorial tests ... More

Fisher information matrix for three-parameter exponentiated-Weibull distribution under type II censoringFeb 01 2011This paper considers the three-parameter exponentiated Weibull family under type II censoring. It first graphically illustrates the shape property of the hazard function. Then, it proposes a simple algorithm for computing the maximum likelihood estimator ... More

Resonance-enhanced collective effect in a triangle arrangement of Rydberg atoms with anisotropic interactionsJul 08 2016We investigate the collective excitation effect in a scheme where three identical Rydberg atoms are arranged in an equilateral triangular lattice. By using a static electric field polarizing the atomic dipoles, the dipole-dipole interactions between two ... More

Asymptotic estimates on the time derivative of $Φ$-entropy on Riemannian manifoldsApr 16 2011Aug 11 2011In this note, we obtain the asymptotic estimate for the time derivative of the $\Phi$-entropy in terms of the lower bound on the Bakry-Emery $\Gamma_2$ curvature. In the cases of Hyperbolic space and Heisenberg group, we show that the time derivative ... More

Optimal control of coupled forward-backward stochastic system with jumps and related Hamilton-Jacobi-Bellman equationsNov 20 2011Mar 21 2013In this paper we investigate a kind of optimal control problem of coupled forward-backward stochastic system with jumps whose cost functional is defined through a coupled forward-backward stochastic differential equation with Brownian motion and Poisson ... More

Backward doubly stochastic differential equations with weak assumptions on the coefficientsMay 28 2010Apr 07 2011In this paper, we deal with one dimensional backward doubly stochastic differential equations (BDSDEs) where the coefficient is left Lipschitz in y (may be discontinuous) and uniformly continuous in z. We obtain a generalized comparison theorem and a ... More

Representation of G-martingales as stochastic integrals with respect to the G-Brownian motionMar 16 2010The objective of this paper is to derive a representation of symmetric G-martingales as stochastic integrals with respect to the G-Brownian motion. For this end, we first study some extensions of stochastic calculus with respect to G-martingales under ... More

An intrinsic hyperboloid approach for Einstein Klein-Gordon equationsJul 06 2016In [7] Klainerman introduced the hyperboloidal method to prove the global existence results for nonlinear Klein-Gordon equations by using commuting vector fields. In this paper, we extend the hyperboloidal method from Minkowski space to Lorentzian spacetimes. ... More

Dictionary Integration using 3D Morphable Face Models for Pose-invariant Collaborative-representation-based ClassificationNov 01 2016Nov 25 2016The paper presents a dictionary integration algorithm using 3D morphable face models (3DMM) for pose-invariant collaborative-representation-based face classification. To this end, we first fit a 3DMM to the 2D face images of a dictionary to reconstruct ... More

Positive curvature property for some hypoelliptic heat kernelsJun 14 2010In this note, we look at some hypoelliptic operators arising from nilpotent rank 2 Lie algebras. In particular, we concentrate on the diffusion generated by three Brownian motions and their three L\'evy areas, which is the simplest extension of the Laplacian ... More

Hyperbolic Metric, Punctured Riemann Sphere and Modular FunctionsJan 21 2019We derive a precise asymptotic expansion of the complete K\"{a}hler-Einstein metric on the punctured Riemann sphere with three or more omitting points. By using Schwarzian derivative, we prove that the coefficients of the expansion are polynomials on ... More

Contribution of Cross-Correlations to the 21cm Angular Power Spectrum in the Epoch of ReionizationNov 24 2009Measurement of the 21cm hyperfine transition of neutral hydrogen provides a unique probe of the epoch of reionization and the Dark Ages. Three major mechanisms are believed to dominate the radiation process: emission from neutral hydrogen surrounding ... More

Model simulation of optical light curves for blazar OJ287Apr 06 2019The light curves of optical outbursts observed in blazar OJ287 during 1983-2015 are analyzed and model-simulated to investigate the nature of its optical radiation. It is shown that the December/2015 outburst has its multi-wavelength variability behavior ... More

Two-Dimensional Adaptive Fourier DecompositionJun 09 2014Mar 18 2015One-dimensional adaptive Fourier decomposition, abbreviated as 1-D AFD, or AFD, is an adaptive representation of a physically realizable signal into a linear combination of parameterized Szeg\"o and higher order Szeg\"o kernels of the context. In the ... More

A Novel Fourier Theory on Non-linear Phases and ApplicationsMay 16 2018Positive time varying frequency representation for transient signals has been a hearty desire of signal analysts due to its theoretical and practical importance. During approximately the last two decades there has formulated a signal decomposition and ... More

Spacetime orientation and the meaning of Lorentz invariance in general relativityFeb 14 2018The parity violation at the level of weak interactions and other similar discrete symmetries breaking show that the invariance of laws under the full group of Lorentz transformations can not be taken granted. We examine the principle of Lorentz invariance ... More

A scheme for determining fundamental interactions and the universality principleSep 20 2017The Standard Model of particle physics was established based on the equivalence principle and gauge invariance. The Lagrangians were built upon experimental data demonstrating the violation of discrete symmetries together with ideas of spontaneous symmetry ... More

The Analysis to Quasi-Local Energy and Hamiltonian Constraint based on VariationNov 07 2013Nov 14 2013In this paper, by arising condition in variation, from equal time to non-equal time, I reconsider how geometrodynamics equations allow to be derived from variational principle in general relativity and then find the variation of extrinsic curvature dependent ... More

Flow polynomials of a signed graphMay 21 2018Jun 25 2018In contrast to ordinary graphs, the number of the nowhere-zero group-flows in a signed graph may vary with different groups, even if the groups have the same order. In fact, for a signed graph $G$ and non-negative integer $d$, it was shown that there ... More

Exotic candidates with heavy quark(s)Dec 04 2017In the last decades, the number of exotic candidates which are beyond the conventional quark model has grown dramatically. At the same time, numerous theoretical interpretations, such as tetraquark, hybrid, hadroquarkonium and hadronic molecule, have ... More

A geometric approach for sharp Local well-posedness of quasilinear wave equationsAug 17 2014The commuting vector fields approach, devised for strichartz estimates in [13], was developed for proving the local well-posedness in the Sobolev spaces $H^s$ with $s>2+\frac{2-\sqrt{3}}{2}$ for general quasi-linear wave equation in ${\mathbb R}^{1+3}$ ... More

Thurston maps and asymptotic upper curvatureSep 14 2011Feb 13 2014A Thurston map is a branched covering map from $\S^2$ to $\S^2$ with a finite postcritical set. We associate a natural Gromov hyperbolic graph $\G=\G(f,\mathcal C)$ with an expanding Thurston map $f$ and a Jordan curve $\mathcal C$ on $\S^2$ containing ... More

Dictionary Integration using 3D Morphable Face Models for Pose-invariant Collaborative-representation-based ClassificationNov 01 2016The paper presents a dictionary integration algorithm using 3D morphable face models (3DMM) for pose-invariant collaborative-representation-based face classification. To this end, we first fit a 3DMM to the 2D face images of a dictionary to reconstruct ... More

On Newman-Penrose constants of stationary space-timesDec 18 2006We consider the general asymptotic expression of stationary space-time. Using Killing equation, we reduce the dynamical freedom of Einstein equation to the in-going gravitational wave $\Psi_0$. The general form of this function can be got. With the help ... More

Tunneling Effect Near Weakly Isolated HorizonFeb 06 2007The tunneling effect near a weakly isolated horizon (WIH) has been studied. By applying the null geodesic method of Parikh and Wilczek and Hamilton-Jacibi method of Angheben et al. to a weakly isolated horizon, we recover the semiclassical emission rate ... More

Energy-momentum in general relativityNov 28 2018We briefly review of the definitions of the total energy, the total linear momentum and the angular momentum of gravitational field when the cosmological constant is zero. In particular, we show pseudo-tensor's definition of the energy and the momentum ... More

Thermodynamics of Black Holes from Equipartition of Energy and HolographyFeb 05 2010May 09 2010A gravitational potential in the relativistic case is introduced as an alternative to Wald's potential used by Verlinde, which reproduces the familiar entropy/area relation S=A/4 (in the natural units) when Verlinde's idea is applied to the black hole ... More

Proof of the entropy bound on dynamical horizonsJul 29 2008The entropy bound conjecture concerning black hole dynamical horizons is proved. The conjecture states, if a dynamical horizon, $D_H$, is bounded by two surfaces with areas of $A_B$ and $\abp$ ($\abp>A_B$), then the entropy, $S_D$, that crosses $D_H$ ... More

On Uniqueness of Kerr Space-time near null infinityNov 24 2008We re-express the Kerr metric in standard Bondi-Saches' coordinate near null infinity ${\cal I}^+$. Using the uniqueness result of characteristic initial value problem, we prove the Kerr metric is the only asymptotic flat, stationary, axial symmetric, ... More

More on gravitational memoryDec 18 2018Jan 08 2019Two novel results for gravitational memory effect are presented in this paper. We first extend the formula of the memory effect to the solutions with arbitrary two surface boundary topology. The memory effect for Robinson-Trautman solution is obtained ... More

An Improved Modified Cholesky Decomposition Method for Inverse Covariance Matrix EstimationOct 14 2017The modified Cholesky decomposition is commonly used for inverse covariance matrix estimation given a specified order of random variables. However, the order of variables is often not available or cannot be pre-determined. Hence, we propose a novel estimator ... More

Broadband solid cloak for underwater acousticsNov 02 2016Jan 03 2017Application of transformation theory to underwater acoustics has been a challenging task because highly anisotropic density is unachievable in water. A possible strategy is to exploit anisotropic modulus rather than density, while has not been experimentally ... More

Finding the Optimal Demodulator Under Implementation ConstraintsJun 03 2015Mar 23 2016The common approach of designing a communication device is to maximize a well-defined objective function, e.g., the channel capacity and the cut-off rate. We propose easy-to-implement solutions for Gaussian channels that approximate the optimal results ... More

Nash equilibrium payoffs for stochastic differential games with jumps and coupled nonlinear cost functionalsAug 18 2011Jul 18 2013In this paper we investigate Nash equilibrium payoffs for two-player nonzero-sum stochastic differential games whose cost functionals are defined by a system of coupled backward stochastic differential equations. We obtain an existence theorem and a characterization ... More

Remarks on Li-Yau inequality on graphsNov 14 2013In this paper, we study Li-Yau gradient estimates for the solutions $u$ to the heat equation $\partial_tu=\Delta u$ on graphs under the curvature condition $CD(n,-K)$ introduced by Bauer et al. in \cite{BHLLMY}. As applications, we derive Harnack inequalities ... More

High Performance Network-on-Chips (NoCs) Design: Performance Modeling, Routing Algorithm and Architecture OptimizationJun 15 2014With technology scaling down, hundreds and thousands processing elements (PEs) can be integrated on a single chip. Network-on-chip (NoC) has been proposed as an efficient solution to handle this distinctive challenge. In this thesis, we have explored ... More

Lifetime of a quasiparticle in an electron liquid. IIDec 19 2005May 13 2006Inelastic lifetime of an electron quasiparticle in an electron liquid due to electron-electron interaction evaluated in previous work is calculated in an alternative way. Both the contributions of the "direct" and "exchange" processes are included. The ... More

Dilogarithm and higher $\mathscr{L}$-invariants for $\mathrm{GL}_3(\mathbb{Q}_p)$Feb 02 2019Let $E$ be a sufficiently large finite extension of $\mathbb{Q}_p$ and $\rho_p$ be a semi-stable representation $\mathrm{Gal}(\overline{\mathbb{Q}_p}/\mathbb{Q}_p)\rightarrow\mathrm{GL}_3(E)$ with a rank two monodromy operator $N$ and a non-critical Hodge ... More

Exchange and correlation near the nucleus in density functional theoryFeb 14 2007The near nucleus behavior of the exchange-correlation potential $v_{xc}({\bf r})$ in Hohenberg-Kohn-Sham density functional theory is investigated. It is shown that near the nucleus the linear term of $O(r)$ of the spherically averaged exchange-correlation ... More

Differential Harnack inequalities and Perelman type entropy formulae for subelliptic operatorsJul 09 2013In this paper, under the generalized curvature-dimension inequality recently introduced by F. Baudoin and N. Garofalo, we obtain differential Harnack inequalities for the positive solutions to the Sch\"odinger equation associated to subelliptic operator ... More

Dynamic indifference pricing via the G-expectationMar 30 2015We study the dynamic indifference pricing with ambiguity preferences. For this, we introduce the dynamic expected utility with ambiguity via the nonlinear expectation--G-expectation, introduced by Peng (2007). We also study the risk aversion and certainty ... More

Properties of solutions of stochastic differential equations driven by the G-Brownian motionOct 15 2010Jul 24 2013In this paper, we study the differentiability of solutions of stochastic differential equations driven by the $G$-Brownian motion with respect to the initial data and the parameter. In addition, the stability of solutions of stochastic differential equations ... More

The Tychonoff uniqueness theorem for the G-heat equationJun 28 2010Mar 07 2011In this paper, we obtain the Tychonoff uniqueness theorem for the G-heat equation.

Lattès maps and combinatorial expansionSep 13 2011Feb 13 2014A Latt\`es map $f\colon \hat{\mathbb{C}}\rightarrow \hat{\mathbb{C}}$ is a rational map that is obtained from a finite quotient of a conformal torus endomorphism. We characterize Latt\`es maps by their combinatorial expansion behavior.

Search for $J^{PC}=1^{-+}$ exotic state in $e^+e^-$ annihilationMar 10 2014The charmed meson pair $(\frac{3}{2})^+$ and anti-$(\frac{1}{2})^-$, i.e. $D_1(2420)\bar D+c.c.$, $D_1(2420)\bar D^*+c.c.$, $D_2(2460)\bar D^*+c.c.$, can couple to states with vector quantum number $J^{PC}=1^{--}$ and exotic quantum number $J^{PC}=1^{-+}$ ... More

On the exterior stability of nonlinear wave equationsAug 07 2018We consider a very general class of nonlinear wave equations, which admit trivial solutions and not necessarily verify any form of null conditions. For compactly supported small data, one can only have a semi-global result which states that the solutions ... More

A geometric perspective on the method of descentMar 19 2017We derive a representation formula for the tensorial wave equation $\Box_\bg \phi^I=F^I$ in globally hyperbolic Lorentzian spacetimes $(\M^{2+1}, \bg)$ by giving a geometric formulation of the method of descent which is applicable for any dimension.

Asymptotic behavior of the Kohn-Sham exchange potential at a metal surfaceJun 25 2015The asymptotic structure of the Kohn-Sham exchange potential $v_x ({\bf r})$ in the classically forbidden region of a metal surface is investigated, together with that of the Slater exchange potential $V_x^S ({\bf r})$ and those of the approximate Krieger-Li-Iafrate ... More

The on-top pair-correlation density in the homogeneous electron liquidSep 07 2005The ladder theory, in which the Bethe-Goldstone equation for the effective potential between two scattering particles plays a central role, is well known for its satisfactory description of the short-range correlations in the homogeneous electron liquid. ... More

Long wavelength behavior of the dynamical spin-resolved local-field factor in a two-dimensional electron liquidApr 14 2004The high frequency limits of the singular component $A(\omega)$ of the small wavevector expansion of the longitudinal (L) and transverse (T) components of the spin-resolved exchange-correlation kernel tensor $f_{xc,\sigma \sigma'}^{L,T}(q,\omega)=-v(q)G_{\sigma ... More

Bounds for the second and the third derivatives of the electron density at the nucleusSep 27 2007Jan 02 2008Lower bound for ${\bar \rho}''(0)$, the second derivative of the spherically averaged atomic electronic density at the nucleus, and upper bound for ${\bar \rho}'''(0)$, the third derivative, are obtained respectively. It is shown that, for the ground ... More

Multi-stage Clustering of Breast Cancer for Precision MedicineDec 02 2016Cancer has become one of the most widespread diseases in the world. Specifically, breast cancer is diagnosed more often than any other type of cancer. However, breast cancer patients and their individual tumors are often unique. Identifying the underlying ... More

Robust quantum switch with Rydberg excitationsSep 13 2017We develop an approach to realize a quantum switch for Rydberg excitation in atoms with $Y$-typed level configuration. We find that the steady population on two different Rydberg states can be reversibly exchanged in a controllable way by properly tuning ... More

New New-Phenomena Results from DzeroJun 10 1998We have searched for diphoton events (\ggmet) with large missing transverse momentum, $\gamma\rlap{\kern0.25em/}E_T$ events (\gmetjj) with two or more jets, and diphoton events ($\gamma\gamma$) with high transverse energies in $p\bar p$ collisions at ... More

Positive curvature property for sub-Laplace on nilpotent Lie group of rank twoDec 15 2011In this note, we concentrate on the sub-Laplace on the nilpotent Lie group of rank two, which is the infinitesimal generator of the diffusion generated by $n$ Brownian motions and their $\frac{n(n-1)}2$ L\'evy area processes, which is the simple extension ... More

Nash equilibrium payoffs for stochastic differential games with reflectionOct 18 2011Mar 21 2013In this paper, we investigate Nash equilibrium payoffs for nonzero-sum stochastic differential games with reflection. We obtain an existence theorem and a characterization theorem of Nash equilibrium payoffs for nonzero-sum stochastic differential games ... More

Local time and Tanaka formula for G-Brownian MotionDec 08 2009Oct 20 2012In this paper, we study the notion of local time and Tanaka formula for the G-Brownian motion. Moreover, the joint continuity of the local time of the G-Brownian motion is obtained and its quadratic variation is proven. As an application, we generalize ... More

A BSDE approach to Nash equilibrium payoffs for stochastic differential games with nonlinear cost functionalsJun 06 2011Aug 23 2011In this paper, we study Nash equilibrium payoffs for nonzero-sum stochastic differential games via the theory of backward stochastic differential equations. We obtain an existence theorem and a characterization theorem of Nash equilibrium payoffs for ... More

Local Linear Constraint based Optimization Model for Dual Spectral CTJan 16 2017Dual spectral computed tomography (DSCT) can achieve energy- and material-selective images, and has a superior distinguishability of some materials than conventional single spectral computed tomography (SSCT). However, the decomposition process is illposed, ... More

Designing Small Silicon Quantum Dots with Low Reorganization EnergyMay 12 2015A first principles, excited state analysis is carried out to identify ways of producing silicon quantum dots with low excitonic reorganization energy. These focus on the general strategy of either reducing or constraining exciton-phonon coupling, and ... More

Angular momentum transport with twisted exciton wave packetsJun 30 2017A chain of cofacial molecules with CN or CNh symmetry supports excitonic states with a screw-like structure. These can be quantified with the combination of an axial wavenumber and an azimuthal winding number. Combinations of these states can be used ... More

Undulatory swimming in viscoelastic fluidsFeb 18 2011May 13 2011The effects of fluid elasticity on the swimming behavior of the nematode \emph{Caenorhabditis elegans} are experimentally investigated by tracking the nematode's motion and measuring the corresponding velocity fields. We find that fluid elasticity hinders ... More

Twisted Molecular Excitons as Mediators for Changing the Angular Momentum of LightMar 06 2017Jun 13 2017Molecules with C_N or C_Nh symmetry can absorb quanta of optical angular momentum to generate twisted excitons with well-defined quasi-angular momenta of their own. Angular momentum is conserved in such interactions at the level of a paraxial approximation ... More

Antiferromagnetic PiezospintronicsMar 12 2019Antiferromagnets naturally exhibit three obvious advantages over ferromagnets for memory device applications: insensitivity to external magnetic fields, much faster spin dynamics (~THz) and higher packing density due to the absence of any stray field. ... More

Potential Distribution on Random Electrical NetworksNov 12 2011Let $G=(V,E)$ be a random electronic network with the boundary vertices which is obtained by assigning a resistance of each edge in a random graph in $\mathbb{G}(n,p)$ and the voltages on the boundary vertices. In this paper, we prove that the potential ... More

Circular Stochastic Fluctuations in SIS Epidemics with Heterogeneous Contacts Among Sub-populationsDec 20 2011The conceptual difference between equilibrium and non-equilibrium steady state (NESS) is well established in physics and chemistry. This distinction, however, is not widely appreciated in dynamical descriptions of biological populations in terms of differential ... More

Synchronized Dynamics and Nonequilibrium Steady States in a Stochastic Yeast Cell-Cycle NetworkApr 15 2009Applying the mathematical circulation theory of Markov chains, we investigate the synchronized stochastic dynamics of a discrete network model of yeast cell-cycle regulation where stochasticity has been kept rather than being averaged out. By comparing ... More