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Some Asymptotic Results of Gaussian Random Fields with Varying Mean Functions and the Associated ProcessesApr 10 2011Dec 02 2011In this paper, we derive tail approximations of integrals of exponential functions of Gaussian random fields with varying mean functions and approximations of the associated point processes. This study is motivated naturally by multiple applications such ... More

Liquid refractive index sensing independent of opacity using an optofluidic sensor based on diffractionOct 03 2014Oct 15 2014We have implemented a multi-functional optofluidic sensor that can monitor changes in the refractive index and pressure of biofluid simultaneously and can detect free-solution molecular interaction in-situ. In this paper, we demonstrate two major improvements ... More

Monolithic Integrations of Slanted Silicon Nanostructures on 3D Microstructures and Their Application to Surface Enhanced Raman SpectroscopyFeb 07 2014We demonstrated fabrication of black silicon with slanted nanocone array on both planar and 3D micro and meso scale structures produced by a high-throughput lithography-free oblique-angle plasma etching process. Nanocones with gradual change in height ... More

Lithography-free sub-100nm nanocone array antireflection layer for low-cost silicon solar cellFeb 07 2014High density and uniformity sub-100nm surface oxidized silicon nanocone forest structure is created and integrated onto the existing texturization microstructures on photovoltaic device surface by a one-step high throughput plasma enhanced texturization ... More

Quick Detection of Contaminants Leaching from Polypropylene Centrifuge Tube with Surface Enhanced Raman Spectroscopy and Ultra Violet Absorption SpectroscopyFeb 07 2014Anomalous surface enhanced Raman scattering (SERS) peaks are identified for liquid sample stored in polypropylene centrifuge tubes (PP tube) for months. We observed the unexpected Raman peaks during experiments for Thiamine Hydrochloride aqueous solution ... More

A Paradigm for Modeling and Computation of Gas DynamicsAug 01 2016In the continuum flow regime, the Navier-Stokes equations are usually used for the description of gas dynamics. On the other hand, the Boltzmann equation is applied for the rarefied gas dynamics. Both equations are constructed from modeling flow physics ... More

A remark on Mirzakhani's asymptotic formulaeMar 26 2011Aug 29 2011In this note, we answer a question of Mirzakhani on asymptotic behavior of the one-point volume polynomial of moduli spaces of curves. We also present some applications of Mirzakhani's asymptotic formulae of Weil-Petersson volumes.

Intersection numbers and automorphisms of stable curvesAug 09 2006May 22 2009Due to the orbifold singularities, the intersection numbers on the moduli space of curves $\bar{\sM}_{g,n}$ are in general rational numbers rather than integers. We study the properties of the denominators of these intersection numbers and their relationship ... More

Mirzakharni's recursion formula is equivalent to the Witten-Kontsevich theoremMay 15 2007May 22 2009In this paper, we give a proof of Mirzakhani's recursion formula of Weil-Petersson volumes of moduli spaces of curves using the Witten-Kontsevich theorem. We also describe properties of intersections numbers involving higher degree $\kappa$ classes.

Geographic Trough Filling for Internet DatacentersAug 28 2011To reduce datacenter energy consumption and cost, current practice has considered demand-proportional resource provisioning schemes, where servers are turned on/off according to the load of requests. Most existing work considers instantaneous (Internet) ... More

Elastomeric 2D Grating and Hemispherical Optofluidic Chamber for Multifunctional Fluidic SensingFeb 07 2014We present an optofluidic sensor based on an elastomeric two-dimensional (2D) grating integrated inside a hemispherical fluid chamber. Laser beam is diffracted before (reflection) and after (transmission) going through the grating and liquid in the dome ... More

Function Based Nonlinear Least Squares and Application to Jelinski--Moranda Software Reliability ModelAug 25 2011A function based nonlinear least squares estimation (FNLSE) method is proposed and investigated in parameter estimation of Jelinski-Moranda software reliability model. FNLSE extends the potential fitting functions of traditional least squares estimation ... More

The critical order of certain Hecke L-functions of imaginary quadratic fieldsOct 21 2002Let $-D < -4$ denote a fundamental discriminant which is either odd or divisible by 8, so that the canonical Hecke character of $\Bbb Q(\sqrt{-D})$ exists. Let $d$ be a fundamental discriminant prime to $D$. Let $2k-1$ be an odd natural integer prime ... More

Descendent integrals and tautological rings of moduli spaces of curvesDec 03 2009Apr 11 2010The main objective of this paper is to give a summary of our recent work on recursion formulae for intersection numbers on moduli spaces of curves and their applications. We also present a conjectural relation between tautological rings and the mock theta ... More

Charged black hole with a scalar hair in (2+1) dimensionsMay 23 2013Jun 01 2013We obtain and analyze an exact solution to Einstein-Maxwell-scalar theory in $(2+1)$ dimensions, in which the scalar field couples to gravity in a non-minimal way, and it also couples to itself with the self-interacting potential solely determined by ... More

Soundness and completeness of the cirquent calculus system CL6 for computability logicJun 12 2011Computability logic is a formal theory of computability. The earlier article "Introduction to cirquent calculus and abstract resource semantics" by Japaridze proved soundness and completeness for the basic fragment CL5 of computability logic. The present ... More

Computing top intersections in the tautological ring of $M_g$Jan 25 2010We derive effective recursion formulae of top intersections in the tautological ring $R^*(M_g)$ of the moduli space of curves of genus $g\geq 2$. As an application, we prove a convolution-type tautological relation in $R^{g-2}(M_g)$.

A hybrid molecular dynamics/atomic-scale finite element method for quasi-static atomistic simulations at finite temperatureSep 21 2013In this paper, a hybrid quasi-static atomistic simulation method at finite temperature is developed, which combines the advantages of MD for thermal equilibrium and atomic-scale finite element method (AFEM) for efficient equilibration. Some temperature ... More

A Monte Carlo Study on the Identification of Quark-gluon Fusion Product in QCD-instanton Induced Processes in Deep-inelastic ScatteringOct 18 2006Different methods to reconstruct the quark-gluon fusion product and current jet are tried in deep-inelastic e-p scattering events with instanton as background generated by QCDINS Monte Carlo code. A comparison of these methods are performed and a good ... More

Three Components Evolution in a Simple Big Bounce Cosmological ModelDec 10 2004Jul 11 2005We consider a five-dimensional Ricci flat Bouncing cosmology and assume that the four-dimensional universe is permeated smoothly by three minimally coupled matter components: CDM+baryons $\rho_{m}$, radiation $\rho_{r}$ and dark energy $\rho_{x}$. Evolutions ... More

Recursion formulae of higher Weil-Petersson volumesAug 03 2007May 22 2009In this paper we study effective recursion formulae for computing intersection numbers of mixed $\psi$ and $\kappa$ classes on moduli spaces of curves. By using the celebrated Witten-Kontsevich theorem, we generalize Mulase-Safnuk form of Mirzakhani's ... More

New properties of the intersection numbers on moduli spaces of curvesSep 14 2006Oct 22 2007We present certain new properties about the intersection numbers on moduli spaces of curves $\bar{\sM}_{g,n}$, including a simple explicit formula of $n$-point functions and several new identities of intersection numbers. In particular we prove a new ... More

New results of intersection numbers on moduli spaces of curvesMay 24 2007We present a series of new results we obtained recently about the intersection numbers of tautological classes on moduli spaces of curves, including a simple formula of the n-point functions for Witten's $\tau$ classes, an effective recursion formula ... More

Scaling Dark Energy in a Five-Dimensional Bouncing Cosmological ModelJul 11 2005Dec 31 2005We consider a 5-dimensional Ricci flat bouncing cosmological model in which the 4-dimensional induced matter contains two components at late times - the cold dark matter (CDM)+baryons and dark energy. We find that the arbitrary function $f(z)$ contained ... More

Critical phenomena of static charged AdS black holes in conformal gravityMay 29 2014Aug 18 2014The extended thermodynamics of static charged AdS black holes in conformal gravity is analyzed. The $P-V$ criticality of these black holes has some unusual features. There exists a single critical point with critical temperature $T_c$ and critical pressure ... More

Penalty Constraints and Kernelization of M-Estimation Based Fuzzy C-MeansJul 18 2012Jan 19 2013A framework of M-estimation based fuzzy C-means clustering (MFCM) algorithm is proposed with iterative reweighted least squares (IRLS) algorithm, and penalty constraint and kernelization extensions of MFCM algorithms are also developed. Introducing penalty ... More

A proof of the Faber intersection number conjectureMar 14 2008Dec 03 2009We prove the famous Faber intersection number conjecture and other more general results by using a recursion formula of $n$-point functions for intersection numbers on moduli spaces of curves. We also present some vanishing properties of Gromov-Witten ... More

An effective recursion formula for computing intersection numbersOct 29 2007We prove a new effective recursion formula for computing all intersection indices (integrals of $\psi$ classes) on the moduli space of curves, inducting only on the genus.

Heat kernel coefficients on Kahler manifoldsNov 21 2013Dec 02 2013Polterovich proved a remarkable closed formula for heat kernel coefficients of the Laplace operator on compact Riemannian manifolds involving powers of Laplacians acting on the distance function. In the case of K\"ahler manifolds, we prove a combinatorial ... More

The n-point functions for intersection numbers on moduli spaces of curvesJan 11 2007Oct 14 2009Using the celebrated Witten-Kontsevich theorem, we prove a recursive formula of the $n$-point functions for intersection numbers on moduli spaces of curves. It has been used to prove the Faber intersection number conjecture and motivated us to find some ... More

The parallel versus branching recurrences in computability logicJul 12 2011This paper shows that the basic logic induced by the parallel recurrence of Computability Logic is a proper superset of the basic logic induced by the branching recurrence. The latter is known to be precisely captured by the cirquent calculus system CL15, ... More

The countable versus uncountable branching recurrences in computability logicJul 19 2011This paper introduces a new simplified version of the countable branching recurrence of Computability Logic, proves its equivalence to the old one, and shows that the basic logic induced by it is a proper superset of the basic logic induced by the uncountable ... More

Einstein frame and Jordan frame revisited: are they mathematically equivalent?Jun 27 2011Jul 07 2011This paper has been withdrawn by the author due to a crucial sign error in equation (5).

Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensionsMay 16 2014May 22 2014Treating the cosmological constant as thermodynamic pressure and its conjugate as thermodynamic volume, we investigate the critical behavior of the third order Lovelock black holes in diverse dimensions. For black hole horizons with different normalized ... More

Gauss-Bonnet coupling constant as a free thermodynamical variable and the associated criticalityNov 13 2013May 12 2014The thermodynamic phase space of Gauss-Bonnet (GB) AdS black holes is extended, taking the inverse of the GB coupling constant as a new thermodynamic pressure $P_{\mathrm{GB}}$. We studied the critical behavior associated with $P_{\mathrm{GB}}$ in the ... More

Mechanism for linear preferential attachment in growing networksAug 20 2007The network properties of a graph ensemble subject to the constraints imposed by the expected degree sequence are studied. It is found that the linear preferential attachment is a fundamental rule, as it keeps the maximal entropy in sparse growing networks. ... More

Parameter Estimation of Jelinski-Moranda Model Based on Weighted Nonlinear Least Squares and HeteroscedasticityFeb 28 2015Parameter estimation method of Jelinski-Moranda (JM) model based on weighted nonlinear least squares (WNLS) is proposed. The formulae of resolving the parameter WNLS estimation (WNLSE) are derived, and the empirical weight function and heteroscedasticity ... More

A Robust Alternating Direction Method for Constrained Hybrid Variational Deblurring ModelAug 31 2013Oct 02 2013In this work, a new constrained hybrid variational deblurring model is developed by combining the non-convex first- and second-order total variation regularizers. Moreover, a box constraint is imposed on the proposed model to guarantee high deblurring ... More

Greedy Criterion in Orthogonal Greedy LearningApr 20 2016Orthogonal greedy learning (OGL) is a stepwise learning scheme that starts with selecting a new atom from a specified dictionary via the steepest gradient descent (SGD) and then builds the estimator through orthogonal projection. In this paper, we find ... More

An Internal Observability Estimate for Stochastic Hyperbolic EquationsNov 03 2015Jan 18 2016This paper is addressed to establishing an internal observability estimate for some linear stochastic hyperbolic equations. The key is to establish a new global Carleman estimate for forward stochastic hyperbolic equations in the $L^2$-space. Different ... More

Local Rademacher Complexity for Multi-label LearningOct 26 2014We analyze the local Rademacher complexity of empirical risk minimization (ERM)-based multi-label learning algorithms, and in doing so propose a new algorithm for multi-label learning. Rather than using the trace norm to regularize the multi-label predictor, ... More

Constructing Intrinsic Delaunay Triangulations from the Dual of Geodesic Voronoi DiagramsMay 21 2015Intrinsic Delaunay triangulation (IDT) is a fundamental data structure in computational geometry and computer graphics. However, except for some theoretical results, such as existence and uniqueness, little progress has been made towards computing IDT ... More

J/psi elliptic flow in relativistic heavy ion collisionsOct 06 2009The J/psi elliptic flow in high energy nuclear collisions is calculated in a transport model. While the flow is very small at SPS and RHIC energies, it is strongly enhanced at LHC energy due to the dominance of the regeneration mechanism.

Event Anisotropy in High Energy Nucleus-Nucleus CollisionsJul 07 1998The predictions of event anisotropy parameters from transport model RQMD are compared with the recent experimental measurements for 158$A$ GeV Pb+Pb collisions. Using the same model, we study the time evolution of event anisotropy at 2$A$ GeV and 158$A$ ... More

Multiuser MISO Beamforming for Simultaneous Wireless Information and Power TransferMar 08 2013Jul 15 2014Simultaneous wireless information and power transfer (SWIPT) is anticipated to have abundant applications in future machine or sensor based wireless networks by providing wireless data and energy access at the same time. In this paper, we study a multiuser ... More

Modified Poisson-Nernst-Planck model with accurate Coulomb correlation in variable mediaNov 20 2016We derive a set of modified Poisson-Nernst-Planck (PNP) equations for ion transport from the variation of the free energy functional which includes the many-body Coulomb correlation in media of variable dielectric coefficient. The correlation effects ... More

Understanding $B^-\rightarrow X(3823)K^-$ via rescattering mechanism and predicting $B^-\to η_{c2} (^1D_2)/ψ_3(^3D_3)K^-$May 16 2016Jul 20 2016We study the observed $B^-\rightarrow X(3823)K^-$ decay via rescattering mechanism and show that this branching ratio is well reproduced by this mechanism. We further extend this theoretical framework to investigate the decays of $B^-\to\eta_{c2} (^1D_2)/\psi_3(^3D_3)K^-$, ... More

Newly observed $B(5970)$ and the predictions of its spin and strange partnersFeb 03 2014Apr 30 2014Using the effective Lagrangian approach, we study the decay behavior of the newly observed $B(5970)$ meson, which is assigned as the $2^3S_1$ state in the $B$ meson family. What is more important is that we predict the information of the partial and total ... More

Improved Recurrent Neural Networks for Session-based RecommendationsJun 27 2016Sep 16 2016Recurrent neural networks (RNNs) were recently proposed for the session-based recommendation task. The models showed promising improvements over traditional recommendation approaches. In this work, we further study RNN-based models for session-based recommendations. ... More

Three dimensional rotating hairy black holes, asymptotics and thermodynamicsJun 27 2014A rotating hairy black hole solution is found in gravity minimally coupled to a self-interacting real scalar field in three spacetime dimensions. Then we discuss analytically the horizon structure and find an analogue of the famous Kerr bound in (2+1) ... More

Novel rotating hairy black hole in (2+1)-dimensionsMay 26 2013Jun 03 2013We present some novel rotating hairy black hole metric in $(2+1)$ dimensions, which is an exact solution to the field equations of the Einstein-scalar-AdS theory with a non-minimal coupling. The scalar potential is determined by the metric ansatz and ... More

Accelerating BTZ spacetimeNov 03 2011Jun 13 2012An exact solution of $(2+1)$-dimensional Einstein gravity with cosmological constant is studied. The corresponding spacetime is interpreted as an accelerating BTZ spacetime. The proper acceleration, horizon structure, temperature and entropy are presented ... More

Accelerating vacua in Gauss-Bonnet gravityOct 26 2011Dec 07 2011Accelerating vacua with maximally symmetric, but not necessarily spherical, sections for Einstein and Gauss-Bonnet gravities in generic dimensions are obtained. The acceleration parameter has the effect of shifting the cosmological constants in Einstein ... More

Exact Subspace Segmentation and Outlier Detection by Low-Rank RepresentationSep 08 2011Mar 30 2014In this work, we address the following matrix recovery problem: suppose we are given a set of data points containing two parts, one part consists of samples drawn from a union of multiple subspaces and the other part consists of outliers. We do not know ... More

One-Bit Compressed Sensing by Greedy AlgorithmsDec 12 2013Sign truncated matching pursuit (STrMP) algorithm is presented in this paper. STrMP is a new greedy algorithm for the recovery of sparse signals from the sign measurement, which combines the principle of consistent reconstruction with orthogonal matching ... More

On the uniqueness of $L_p$-Minkowski problems: the constant $p$-curvature case in $\mathbb{R}^3$Mar 09 2015Aug 20 2015We study the $C^4$ smooth convex bodies $\mathbb{K}\subset\mathbb{R}^{n+1}$ satisfying $K(x)=u(x)^{1-p}$, where $x\in\mathbb{S}^n$, $K$ is the Gauss curvature of $\partial\mathbb{K}$, $u$ is the support function of $\mathbb{K}$, and $p$ is a constant. ... More

Accelerating Universe in a Big Bounce ModelApr 24 2003Dec 05 2003Recent observations of Type Ia supernovae provide evidence for the acceleration of our universe, which leads to the possibility that the universe is entering an inflationary epoch. We simulate it under a ``big bounce'' model, which contains a time variable ... More

Learning Item-Attribute Relationship in Q-Matrix Based Diagnostic Classification ModelsJun 03 2011Recent surge of interests in cognitive assessment has led to the developments of novel statistical models for diagnostic classification. Central to many such models is the well-known Q-matrix, which specifies the item-attribute relationship. This paper ... More

Thermodynamics and holographic entanglement entropy for spherical black holes in 5D Gauss-Bonnet gravityJun 21 2016Sep 13 2016The holographic entanglement entropy is studied numerically in (4+1)-dimensional spherically symmetric Gauss-Bonnet AdS black hole spacetime with compact boundary. On the bulk side the black hole spacetime undergoes a van der Waals-like phase transition ... More

Mean curvature flow of higher codimension in Riemannian manifoldsMar 31 2012We investigate the convergence of the mean curvature flow of arbitrary codimension in Riemannian manifolds with bounded geometry. We prove that if the initial submanifold satisfies a pinching condition, then along the mean curvature flow the submanifold ... More

Implication the observed $ψ(3770)\to p\bar{p}π^0$ for studying the $p\bar{p}\to ψ(3770)π^0$ processMay 18 2015Mar 31 2016We study the charmonium $p \bar{p} \to \psi(3770) \pi^0$ reaction using effective lagrangian approach where the contributions from well established $N^*$ states are considered, and all parameters are fixed in the process of $e^+e^- \to p \bar{p}\pi^0$ ... More

Hamiltonian description of singular Lagrangian systems with spontaneously broken time translation symmetryJun 14 2012Oct 24 2012Shapere and Wilczek recently found some singular Lagrangian systems which spontaneously breaks time translation symmetry. The common feature of their models is that the energy functions are multivalued in terms of the canonical phase space variables and ... More

Kinetic Energy-Based Temperature Computation in Non-Equilibrium Molecular Dynamics SimulationDec 22 2009The average kinetic energy is widely used to characterize temperature in molecular dynamics (MD) simulation. In this letter, the applicability of three types of average kinetic energy as measures of temperature is investigated, i.e., the total kinetic ... More

Decomposition of Three-Dimensional Steady Non-isentropic Compressible Euler System and Stability of Spherically Symmetric Subsonic Flows and Transonic Shocks under Multidimensional PerturbationsMay 12 2015We develop a method that works in general product Riemannian manifold to decompose the three-dimensional steady full compressible Euler system, which is of elliptic-hyperbolic composite-mixed type for subsonic flows. The method is applied to show stability ... More

Three-Dimensional Wind Profile Prediction with Trinion-Valued Adaptive AlgorithmsJun 09 2015The problem of three-dimensional (3-D) wind profile prediction is addressed based a trinion wind model, which inherently reckons the coupling of the three perpendicular components of a wind field. The augmented trinion statistics are developed and employed ... More

The Real Solution to Scalar Field Equation in 5D Black String SpaceMay 17 2007After the nontrivial quantum parameters $\Omega_{n}$ and quantum potentials $V_{n}$ obtained in our previous research, the circumstance of a real scalar wave in the bulk is studied with the similar method of Brevik (2001). The equation of a massless scalar ... More

Image Integrity Authentication Scheme Based On Fixed Point TheoryAug 03 2013Based on fixed point theory, this paper proposes a new scheme for image integrity authentication, which is different from Digital Signature and Fragile Watermarking. A realization of the new scheme is given based on Gaussian Convolution and Deconvolution ... More

A novel weighting scheme for random $k$-SATOct 16 2013Consider a random $k$-CNF formula $F_{k}(n, rn)$ with $n$ variables and $rn$ clauses. For every truth assignment $\sigma\in \{0, 1\}^{n}$ and every clause $c=\ell_{1}\vee\cdots\vee\ell_{k}$, let $d=d(\sigma, c)$ be the number of satisfied literal occurrences ... More

Correspondence Between DGP Brane Cosmology and 5D Ricci-flat CosmologyJul 19 2007Jul 23 2007We discuss the correspondence between the DGP brane cosmology and 5D Ricci-flat cosmology by letting their metrics equal each other. By this correspondence, a specific geometrical property of the arbitrary integral constant I in DGP metric is given and ... More

Mechanical properties of jammed packings of frictionless spheres under applied shear stressFeb 03 2015By minimizing a thermodynamic-like potential, we unbiasedly sample the potential energy landscape of soft and frictionless spheres under constant shear stress. We obtain zero-temperature jammed states under desired shear stresses and investigate their ... More

Lepton-Flavor Violating Processes $l_{i}\to l_{j}γ$ in Topcolor Assisted Technicolor ModelsJun 19 2001Aug 26 2001We consider the lepton-flavor violating(LFV) processes $l_{i}\to l_{j}\gamma$ in the framework of topcolor assisted technicolor(TC2) models. We find that the new gauge boson $Z^{\prime}$ predicted by TC2 models can give significantly contributions to ... More

Electron correlation and impurity-induced quasiparticle resonance states in cuprate superconductorsNov 28 2013We theoretically study the quasiparticle resonance states around a nonmagnetic impurity in cuprate superconductors based on t-t'-J-U model. The purpose of introducing the Coulomb repulsive interaction U is to partially impose the double occupancy constraint ... More

Internet Resource Pricing Models, Mechanisms, and MethodsApr 11 2011With the fast development of video and voice network applications, CDN (Content Distribution Networks) and P2P (Peer-to-Peer) content distribution technologies have gradually matured. How to effectively use Internet resources thus has attracted more and ... More

Tensor Decomposition via Variational Auto-EncoderNov 03 2016Tensor decomposition is an important technique for capturing the high-order interactions among multiway data. Multi-linear tensor composition methods, such as the Tucker decomposition and the CANDECOMP/PARAFAC (CP), assume that the complex interactions ... More

Maximum Leaf Spanning Trees of Growing Sierpinski Networks ModelsJan 07 2016The dynamical phenomena of complex networks are very difficult to predict from local information due to the rich microstructures and corresponding complex dynamics. On the other hands, it is a horrible job to compute some stochastic parameters of a large ... More

Clustering with Transitive Distance and K-Means DualityNov 22 2007Recent spectral clustering methods are a propular and powerful technique for data clustering. These methods need to solve the eigenproblem whose computational complexity is $O(n^3)$, where $n$ is the number of data samples. In this paper, a non-eigenproblem ... More

Q factor in numerical simulations of DPSK with optical delay demodulationApr 01 2003A simple model is used to estimate the Q factor in numerical simulations of differential phase shift keying (DPSK) with optical delay demodulation and balanced detection. It is found that an alternative definition of Q is needed for DPSK in order to have ... More

Two Particle States in an Asymmetric Box and the Elastic Scattering PhasesApr 01 2004The exact two-particle energy eigenstates in a generic asymmetric rectangular box with periodic boundary conditions in all three directions are studied. Their relation with the elastic scattering phases of the two particles in the continuum are obtained ... More

Understanding the Characteristics of Internet Short Video Sharing: YouTube as a Case StudyJul 25 2007Established in 2005, YouTube has become the most successful Internet site providing a new generation of short video sharing service. Today, YouTube alone comprises approximately 20% of all HTTP traffic, or nearly 10% of all traffic on the Internet. Understanding ... More

Finite size analysis of zero-temperature jamming transition under applied shear stressDec 10 2013By finding local minima of an enthalpy-like energy, we can generate jammed packings of frictionless spheres under constant shear stress $\sigma$ and obtain the yield stress $\sigma_y$ by sampling the potential energy landscape. For three-dimensional systems ... More

Dimensionality-Dependent Generalization Bounds for $k$-Dimensional Coding SchemesJan 03 2016Apr 23 2016The $k$-dimensional coding schemes refer to a collection of methods that attempt to represent data using a set of representative $k$-dimensional vectors, and include non-negative matrix factorization, dictionary learning, sparse coding, $k$-means clustering ... More

Initial orientation effect and selecting desired events in 520AMeV/u U-U collisionsNov 19 2008How to select out those collisions with the desired geometry such as tip-tip and/or body-body in experiment is one key point for performing high energy UU collisions. With a relativistic transport model, we performed a simulation for deformed UU collision ... More

Moler Tensors and Their PropertiesNov 18 2016Nov 26 2016Moler matrices are named after the founder of MATLAB -- Cleve Moler, and form a class of test matrices in MATLAB. They are symmetric and positive definite, yet each Moler matrix has a very small positive eigenvalue. In this paper, we extend Moler matrices ... More

Low Latency Datacenter Networking: A Short SurveyDec 12 2013Jul 31 2014Datacenters are the cornerstone of the big data infrastructure supporting numerous online services. The demand for interactivity, which significantly impacts user experience and provider revenue, is translated into stringent timing requirements for flows ... More

Formal pseudodifferential operators and Witten's r-spin numbersDec 20 2011We derive an effective recursion for Witten's r-spin intersection numbers, using Witten's conjecture relating r-spin numbers to the Gel'fand-Dikii hierarchy (Theorem 4.1). Consequences include closed-form descriptions of the intersection numbers (for ... More

An Energetic Variational Approach for ion transportAug 18 2014Oct 13 2014The transport and distribution of charged particles are crucial in the study of many physical and biological problems. In this paper, we employ an Energy Variational Approach to derive the coupled Poisson-Nernst-Planck-Navier-Stokes system. All physics ... More

Two Particle States in a Box and the $s$-Matrix in Multi-Channel ScatteringAug 25 2005Aug 29 2005Using a quantum mechanical model, the exact energy eigenstates for two-particle two-channel scattering are studied in a cubic box with periodic boundary conditions. A relation between the exact energy eigenvalue in the box and the two-channel $S$-matrix ... More

Whiteout: Gaussian Adaptive Regularization Noise in Deep Neural NetworksDec 05 2016Noise injection is an off-the-shelf method to mitigate over-fitting in neural networks (NNs). The recent developments in Bernoulli noise injection as implemented in the dropout and shakeout procedures demonstrates the efficiency and feasibility of noise ... More

Topcolor assisted technicolor models and muon anomalous magnetic momentMar 08 2001Jun 09 2001We discuss and estimate the contributions of the new particles predicted by topcolor assisted technicolor(TC2) models to the muon anomalous magnetic moment $a_{\mu}$. Our results show that the contributions of Pseudo Goldstone bosons are very small which ... More

Using (4+1) split and energy conditions to study the induced matter in 5D Ricc-flat cosmologyOct 19 2006We use $(4+1)$ split to derive the 4D induced energy density $\rho $ and pressure $p$ of the $5D$ Ricci-flat cosmological solutions which are characterized by having a bounce instead of a bang. The solutions contain two arbitrary functions of time $t$ ... More

Reconstruction of Five-dimensional Bounce cosmological Models From Deceleration FactorJan 20 2006In this paper, we consider a class of five-dimensional Ricci-flat vacuum solutions, which contain two arbitrary functions $\mu(t)$ and $\nu(t)$. It is shown that $\mu(t)$ can be rewritten as a new arbitrary function $f(z)$ in terms of redshift $z$ and ... More

Direct determination of the size of basins of attraction of jammed solidsJan 31 2011Jun 28 2011We propose a free-energy based Monte-Carlo method to measure the volume of potential-energy basins in configuration space. Using this approach we can estimate the number of distinct potential-energy minima, even when this number is much too large to be ... More

Correspondence Between $5D$ Ricci-Flat Cosmological Models and Quintessence Dark Energy ModelsJul 18 2005Dec 26 2005We study the accelerating expansion and the induced dark energy of the $5D$ Ricci-flat universe which is characterized by having a big bounce as opposed to a big bang. We show that the arbitrary function $\mu(t)$ contained in the $5D$ solutions can be ... More

Understanding depletion induced like-charge attraction from self-consistent field modelJul 17 2015Nov 05 2016The interaction force between likely charged particles/surfaces is usually repulsive due to the Coulomb interaction. However, the counterintuitive like-charge attraction in electrolytes has been frequently observed in experiments, which has been theoretically ... More

Joint Representation Learning of Text and Knowledge for Knowledge Graph CompletionNov 13 2016Joint representation learning of text and knowledge within a unified semantic space enables us to perform knowledge graph completion more accurately. In this work, we propose a novel framework to embed words, entities and relations into the same continuous ... More

The Common Information of N Dependent Random VariablesOct 18 2010This paper generalizes Wyner's definition of common information of a pair of random variables to that of $N$ random variables. We prove coding theorems that show the same operational meanings for the common information of two random variables generalize ... More

A Weighted Common Subgraph Matching AlgorithmNov 04 2014We propose a weighted common subgraph (WCS) matching algorithm to find the most similar subgraphs in two labeled weighted graphs. WCS matching, as a natural generalization of the equal-sized graph matching or subgraph matching, finds wide applications ... More

Second-order temporal interference of two independent light beams at an asymmetrical beam splitterAug 29 2016The second-order temporal interference of classical and nonclassical light at an asymmetrical beam splitter is discussed based on two-photon interference in Feynman's path integral theory. The visibility of the second-order interference pattern is determined ... More

The Inversion Symmetry of the WDVV Equations and Tau FunctionsDec 28 2010May 05 2013For two solutions of the WDVV equations that are related by the inversion symmetry, we show that the associated principal hierarchies of integrable systems are related by a reciprocal transformation, and the tau functions of the hierarchies are related ... More

Long time dynamics of defocusing energy critical 3 + 1 dimensional wave equation with potential in the radial caseMar 22 2014Using channel of energy inequalities developed by T.Duyckaerts, C.Kenig and F.Merle, we prove that, modulo a free radiation, any finite energy radial solution to the defocusing energy critical wave equation with radial potential in 3 + 1 dimensions converges ... More