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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

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

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

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

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

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

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

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

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

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

The q-deformation of AKNS-D HierarchyJun 20 2001In this paper, we considered the q-deformation of AKNS-D hierarchy, proved the bilinear identity and give out the $\tau$-function of the q-deformed AKNS-D hierarchy.

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.

Energy-aware Traffic Engineering in Hybrid SDN/IP Backbone NetworksMay 12 2016Software Defined Networking (SDN) can effectively improve the performance of traffic engineering and has promising application foreground in backbone networks. Therefore, new energy saving schemes must take SDN into account, which is extremely important ... More

Fluid/Gravity Correspondence with Scalar Field and Electromagnetic FieldJan 08 2016May 23 2016We consider fluid/gravity correspondence in a general rotating black hole background with scalar and electromagnetic fields. Using the method of Petrov-like boundary condition, we show that the scalar and the electromagnetic fields contribute external ... More

The effects of fluid viscosity on the kinematics and material properties of C. elegans swimming at low Reynolds numberDec 17 2009The effects of fluid viscosity on the kinematics of a small swimmer at low Reynolds number are investigated in both experiments and in a simple model. The swimmer is the nematode Caenorhabditis elegans, which is an undulating roundworm approximately 1 ... 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

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

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

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

Thermodynamic and Kinetic Analysis of Sensitivity Amplification in Biological Signal TransductionJul 12 2002Sep 16 2003Based on a thermodynamic analysis of the kinetic model for the protein phosphorylation-dephosphorylation cycle, we study the ATP (or GTP) energy utilization of this ubiquitous biological signal transduction process. It is shown that the free energy from ... More

Nonlinear Stochastic Dynamics of Complex Systems, I: A Chemical Reaction Kinetic Perspective with Mesoscopic Nonequilibrium ThermodynamicsMay 24 2016We distinguish a mechanical representation of the world in terms of point masses with positions and momenta and the chemical representation of the world in terms of populations of different individuals, each with intrinsic stochasticity, but population ... More

An Analysis of the Thermodynamics of Hydrophobic Solvation Based on Scaled Particle TheoryApr 25 2001A comprehensive, semi-quantitative model for the thermodynamics of hydrophobic solvation is presented. The model is based on a very simple premise suggested by the scaled particle theory and treats both solute and solvent molecules as hard spheres. A ... 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

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

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

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

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

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

Sensitivity to Gauge-Mediated Supersymmetry Breaking Models of the Fermilab Upgraded Tevatron ColliderMar 31 1999Oct 14 1999This paper discusses supersymmetry discovery potential of the upgraded D\O experiment at the Tevatron $p\bar{p}$ collider. Six final states with large transverse energy (momentum) leptons or photons (with or without large transverse momentum imbalances) ... 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

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

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

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.

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

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

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

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

Stochastic Physics, Complex Systems and BiologyMar 15 2012Dec 21 2012In complex systems, the interplay between nonlinear and stochastic dynamics, e.g., J. Monod's necessity and chance, gives rise to an evolutionary process in Darwinian sense, in terms of discrete jumps among attractors, with punctuated equilibrium, spontaneous ... More

Thermodynamics of Markov Processes with Non-extensive Entropy and Free EnergyMay 07 2010Feb 02 2011Parallel to the recent presented complete thermodynamic formalism for master equation systems, we show that a "thermodynamic" theory can also be developed based on Tsallis' generalized entropy $S_q and Shiino's generalized free energy F_q which depends ... More

From Discrete Protein Kinetics to Continuous Brownian Dynamics: A New PerspectiveApr 20 2001An analysis on the discrete versus continuous views of kinetics of macromolecules is presented. It is shown that the discrete approach traditional to biochemistry is insufficient for understanding the dynamics of protein molecules in aqueous solution. ... More

Mathematical Formalism for Isothermal Linear IrreversibilityJul 08 2000Jun 27 2001We prove the equivalence among symmetricity, time reversibility, and zero entropy production of the stationary solutions of linear stochastic differential equations. A sufficient and necessary reversibility condition expressed in terms of the coefficients ... 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

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

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

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

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

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

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

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

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

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

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

The Zeroth Law of Thermodynamics and Volume-Preserving Conservative Dynamics with Equilibrium Stochastic DampingJun 29 2012Dec 20 2013We propose a mathematical formulation of the zeroth law of thermodynamics and develop a stochastic dynamical theory, with a consistent irreversible thermodynamics, for systems possessing sustained conservative stationary current in phase space while in ... More

A Hamiltonian-Entropy Production Connection in the Skew-symmetric Part of a Stochastic DynamicsMay 30 2012Apr 06 2013The infinitesimal transition probability operator for a continuous-time discrete-state Markov process, $\mathcal{Q}$, can be decomposed into a symmetric and a skew-symmetric parts. As recently shown for the case of diffusion processes, while the symmetric ... More

Hill's Small Systems Nanothermodynamics: A Simple Macromolecular Partition Problem with a Statistical PerspectiveDec 06 2011Using a simple example of biological macromolecules which are partitioned between bulk solution and membrane, we investigate T.L. Hill's phenomenological nanothermodynamics for small systems. By introducing a {\em systems size dependent} equilibrium constant ... More

Relative Entropy: Free Energy Associated with Equilibrium Fluctuations and Nonequilibrium DeviationsJul 08 2000Feb 07 2001Using a one-dimensional macromolecule in aqueous solution as an illustration, we demonstrate that the relative entropy from information theory, $\sum_k p_k\ln(p_k/p_k^*)$, has a natural role in the energetics of equilibrium and nonequilibrium conformational ... 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

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

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

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

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

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

Dielectric function with exact exchange contribution in the electron liquid. II. Analytical expressionSep 25 2016The first-order, in terms of electron-interaction in the perturbation theory, of the proper linear response function $\Pi ({\bf k}, \omega )$ gives rise to the exchange-contribution to the dielectric function $\epsilon ({\bf k} , \omega)$ in the electron ... More

Static dielectric function with exact exchange contribution in the electron liquidJun 28 2015Aug 01 2015The exchange contribution, $\Pi_1 ({\bf k}, 0)$, to the static dielectric function in the electron liquid is evaluated exactly. Expression for it is derived analytically in terms of one quadrature. The expression, as presented in Eq. (3) in the Introduction, ... 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

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

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

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

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

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

Statistical Thermodynamics of General Minimal Diffusion Processes: Constuction, Invariant Density, Reversibility and Entropy ProductionJan 01 2002The solution to nonlinear Fokker-Planck equation is constructed in terms of the minimal Markov semigroup generated by the equation. The semigroup is obtained by a purely functional analytical method via Hille-Yosida theorem. The existence of the positive ... More

Terahertz radiation-induced sub-cycle field electron emission across a split-gap dipole antennaAug 19 2015We use intense terahertz pulses to excite the resonant mode (0.6 THz) of a micro-fabricated dipole antenna with a vacuum gap. The dipole antenna structure enhances the peak amplitude of the in-gap THz electric field by a factor of ~170. Above an in-gap ... More

Geometric optics of Bloch waves in a chiral and dissipative mediumApr 13 2009Apr 01 2010We present a geometric optics theory for the transport of quantum particles (or classical waves) in a chiral and dissipative periodic crystal subject to slowly varying perturbations in space and time. Taking account of some properties of particles and ... More

Network-wide Packet Behavior Identification and Private Network Function OutsourcingMar 08 2016Identifying the network-wide forwarding behaviors of a packet is essential for many network management applications. We present AP Classifier, a control plane tool for packet be- havior identification. Experiments show that the processing speed of AP ... More

Supernovae versus Neutron Star Mergers as the Major r-Process SourcesMar 16 2000I show that recent observations of r-process abundances in metal-poor stars are difficult to explain if neutron star mergers (NSMs) are the major r-process sources. In contrast, such observations and meteoritic data on Hf182 and I129 in the early solar ... More

Neutrino-nucleus interaction and supernova r-process nucleosynthesisNov 13 1996We discuss various neutrino-nucleus interactions in connection with the supernova r-process nucleosynthesis, which possibly occurs in the neutrino-driven wind of a young neutron star. These interactions include absorptions of electron neutrinos and antineutrinos ... More

Nucleosynthesis in Metal-Free and Metal-Poor StarsJul 04 2008There have been a number of important recent developments in theoretical and observational studies of nucleosynthesis, especially regarding nucleosynthetic sources at low metallicities. Those selected for discussion here include the origin of Li6, the ... More

Diverse Supernova Sources for the r-Process and Abundances in Metal-Poor StarsApr 10 2001The dispersion and mean trends of r-process abundances in metal-poor stars are discussed based on a model of diverse supernova sources for the r-process. This model is unique in that its key parameters are inferred from solar system data independent of ... More

Comment on "Pulsar Velocities and Neutrino Oscillations"May 08 1997In a recent Letter, Kusenko and Segre proposed a new mechanism to explain the observed proper motions of pulsars. Their mechanism was based on the asymmetric neutrino emission induced by neutrino oscillations in the protoneutron star magnetic field. In ... More

SQL for SRL: Structure Learning Inside a Database SystemJul 02 2015The position we advocate in this paper is that relational algebra can provide a unified language for both representing and computing with statistical-relational objects, much as linear algebra does for traditional single-table machine learning. Relational ... More

Quasi-sure convergence theorem in $p$-variation distance for stochastic differential equationsApr 25 2012In this paper by calculating carefully the capacities (defined by high order Sobolev norms on the Wiener space) for some functions of Brownian motion, we show that the dyadic approximations of the sample paths of the Brownian motion converge in the $p$-variation ... More

Spin dynamics from time-dependent spin density-functional theoryAug 11 2001We derive the spin-wave dynamics of a magnetic material from the time-dependent spin density functional theory in the linear response regime. The equation of motion for the magnetization includes, besides the static spin stiffness, a "Berry curvature" ... More

Dual-structure Data Center Multicast Using Software Defined NetworkingMar 31 2014Data center applications use multicast as an effective method to reduce bandwidth cost. However, traditional multicast protocols designed for IP networks are usually bottlenecked by the limited state capacity on switches. In this paper, we propose a scalable ... More

Electron Dynamics in Slowly Varying Antiferromagnetic TextureJan 17 2012Apr 02 2012Effective dynamics of conduction electrons in antiferromagnetic (AFM) materials with slowly varying spin texture is developed via non-Abelian gauge theory. Quite different from the ferromagnetic (FM) case, the spin of a conduction electron does not follow ... More

Stochastic Free Energies, Conditional Probability and Legendre Transform for Ensemble ChangeDec 14 2011Oct 27 2015This work extends a recently developed mathematical theory of thermodynamics for Markov processes with, and more importantly, without detailed balance. We show that the Legendre transform in connection to ensemble changes in Gibbs' statistical mechanics ... More

Signal Processing in the MicroBooNE LArTPCNov 01 2015The MicroBooNE experiment is designed to observe interactions of neutrinos with a Liquid Argon Time Projection Chamber (LArTPC) detector from the on-axis Booster Neutrino Beam (BNB) and off-axis Neutrinos at the Main Injector (NuMI) beam at Fermi National ... More

Pre-management of DisentanglementNov 29 2012Jun 14 2014We define threshold disentanglement (TD) as the level above which entanglement must be maintained for later use and calculate the values of quantum system parameters at $t=0$ that will ensure that the threshold is not crossed in a specified time. An important ... More

Vector Higgs bosons and possible suppression of flavorchanging neutral currentOct 17 2006We replace the scalar Higgs doublet with a vector Higgs boson doublet to the unified electroweak W-S model and find most of important features of W-S model are kept unchanged only the Higgs boson now become vector bosons. Lorentz invariance has been carefully ... More