total 5579took 0.11s

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

Quantitative evaluation of consecutive resilience cycles in stock market performance: A systems-oriented approachFeb 16 2019Financial markets can be seen as complex systems that are constantly evolving and sensitive to external disturbance, such as systemic risks and economic instabilities. Analysis of resilient market performance, therefore, becomes useful for investors. ... More

The Kobayashi-Royden metric and the Wu metric on the punctured Riemann SpheresJul 17 2019We derive a precise asymptotic expansion of the Kobayashi-Royden metric and the Wu metric on the punctured Riemann sphere $\mathbb{CP}^1-\{a_1,\ldots,a_n\}$ with three or more omitting points, and we also show that these two metrics coincide with the ... More

A Bayesian network approach for assessing the general resilience of road transportation systems: A systems perspectiveFeb 16 2019We proposed a Bayesian Network Model (BNM) based on function-oriented resilience framework and ontological interdependence among 10 system qualities to probabilistically assess the general resilience of the road transportation system in Beijing from 1997 ... More

Evaluating bird collision risk of a high-speed railway crossing the habitat of the crested ibis (Nipponia nippon) in Qinling Mountains, ChinaJul 10 2019Bird collisions with high-speed transport modes is a vital topic on vehicle safety and wildlife protection, especially when high-speed trains, with an average speed of 250km/h, have to run across the habitat of an endangered bird species. This paper evaluates ... More

Reverse Time Migration for Extended Obstacles: Electromagnetic WavesJun 10 2014We propose a new single frequency reverse time migration (RTM) algorithm for imaging extended targets using electromagnetic waves. The imaging functional is defined as the imaginary part of the cross-correlation of the Green function for Helmholtz equation ... More

Designing wildlife crossing structures for ungulates in a desert landscape: A case study in ChinaMar 14 2019This paper reports on the design of wildlife crossing structures (WCSs) along a new expressway in China, which exemplifies the country's increasing efforts on wildlife protection in infrastructure projects. The expert knowledge and field surveys were ... More

Second-order models and traffic data from mobile sensorsNov 01 2012Mar 26 2016Mobile sensing enabled by GPS or smart phones has become an increasingly important source of traffic data. For sufficient coverage of the traffic stream, it is important to maintain a reasonable penetration rate of probe vehicles. From the standpoint ... More

Detection and classification from electromagnetic induction dataAug 28 2013Jul 10 2014In this paper we introduce an efficient algorithm for identifying conductive objects using induction data derived from eddy currents. Our method consists of first extracting geometric features from the induction data and then matching them to precomputed ... More

Revisiting the Instability Problem of Interacting Dark Energy Model in the Parametrized Post-Friedmann FrameworkApr 08 2019Dark energy might interact with dark matter in a direct, non-gravitational way, which can help remedy several theoretical defects. In order to find out the properties of interacting dark energy models, it is necessary to investigate the cosmological perturbations ... More

Channel-Envelope Differencing Eliminates Secret Key Correlation: LoRa-Based Key Generation in Low Power Wide Area NetworksOct 18 2018This paper presents automatic key generation for long-range wireless communications in low power wide area networks (LPWANs), employing LoRa as a case study. Differential quantization is adopted to extract a high level of randomness. Experiments conducted ... More

Novel Features of Gamma Ray from Dark MatterDec 10 2015In this study, we present some general and novel features of gamma ray from dark matter. We find that gamma-ray spectra with sharp features exist in a wide class of dark matter models and mimic the gamma line signals. The generated gamma rays would generally ... More

Cycles in the de Rham cohomology of abelian varieties over number fieldsOct 05 2015Jan 03 2016In his 1982 paper, Ogus defined a class of cycles in the de Rham cohomology of smooth proper varieties over number fields. This notion is a crystalline analogue of $\ell$-adic Tate cycles. In the case of abelian varieties, this class includes all the ... More

No Time to Observe: Adaptive Influence Maximization with Partial FeedbackSep 01 2016In this paper, we investigate the adaptive influence maximization problem in social networks with partial feedback. Although the influence maximization problem problem has been extensively studies over the past ten years, majority of existing work fall ... More

Algebra endomorphisms and Derivations of Some Localized Down-Up AlgebrasMar 26 2014We study algebra endomorphisms and derivations of some localized down-up algebras $\A$. First, we determine all the algebra endomorphisms of $\A$ under some conditions on $r$ and $s$. We show that each algebra endomorphism of $\A$ is an algebra automorphism ... More

Two-Parameter Quantum Groups and Ringel-Hall algebras of $A_{\infty}-$typeJun 09 2011Jul 04 2011In this paper, we study the two-parameter quantum group $U_{r,s}(\mathfrak sl_{\infty})$ associated to the Lie algebra $\mathfrak sl_{\infty}$ of infinite rank. We shall prove that the two-parameter quantum group $U_{r,s}(\mathfrak sl_{\infty})$ admits ... More

Projections in the curve complex arising from covering mapsOct 25 2013Let $P : \Sigma \rightarrow S$ be a finite degree covering map between surfaces. Rafi and Schleimer show that there is an induced quasi-isometric embedding $\Pi : \mathcal{C}(S) \rightarrow \mathcal{C}(\Sigma)$ between the associated curve complexes. ... More

Fractal Dimension of Julia Set for Non-analytic MapsFeb 27 1998Apr 17 1998The Hausdorff dimensions of the Julia sets for non-analytic maps: f(z) = z^2 + epsilon z^* and f(z) = {z^*}^2 + epsilon are calculated perturbatively for small epsilon. It is shown that Ruelle's formula for Hausdorff dimensions of analytic maps can not ... More

J/psi production at high pT at STARDec 01 2010We report results on J/psi-hadron azimuthal angular correlations in 200 GeV p+p collision in the STAR experiment at RHIC. The extracted B-hadron feed-down contribution to inclusive J/psi yield is found to be 10-25% in 4<p_T<12 GeV/c and has no significant ... More

Directed and Elliptic Flow at RHICSep 28 2004Nov 15 2004We present the directed flow measurement ($v_1$) from Au+Au collisions at $\sqrtsNN = 62$ GeV. Over the pseudorapidity range we have studied, which covers $\eta$ from -1.2 to 1.2 and $2.4 < |\eta| < 4$, the magnitude of $v_1$ for charged particles is ... More

The eigenvalues of stochastic blockmodel graphsMar 30 2018We derive the limiting distribution for the largest eigenvalues of the adjacency matrix for a stochastic blockmodel graph when the number of vertices tends to infinity. We show that, in the limit, these eigenvalues are jointly multivariate normal with ... More

Topological QCD with a TwistSep 22 2003Oct 02 2003Non-supersymmetric Yang-Mill gauge theory in 4-dimension is shown to be dual to 4-dimensional non-supersymmetric string theory in a twisted AdS2(n)xT2 spacetime background. The partition function of a generic hadron is calculated to illustrate the mathematical ... More

MKN Theory of Bound StatesMar 02 2001Mar 19 2001This paper derives most of the formulas in the MKN (Maung-Kahana-Norbury) Theory of bound states which incorporates the Lande Subtraction method to remove the singularities of the Cornell potential.

Exponentially convergent stochastic k-PCA without variance reductionApr 03 2019We present Matrix Krasulina, an algorithm for online k-PCA, by generalizing the classic Krasulina's method (Krasulina, 1969) from vector to matrix case. We show, both theoretically and empirically, that the algorithm naturally adapts to data low-rankness ... More

Finite and infinite Mallows ranking models, maximum likelihood estimator, and regenerationAug 26 2018In this paper we are concerned with various Mallows ranking models. First we study the statistical properties of the MLE of Mallows' $\phi$ model: $\mathbb{P}_{\theta, \pi_0}(\pi) \propto \exp(-\theta \, inv(\pi \circ \pi_0^{-1}))$, where $\theta$ is ... More

Price of Dependence: Stochastic Submodular Maximization with Dependent ItemsMay 23 2019In this paper, we study the stochastic submodular maximization problem with dependent items subject to a variety of packing constraints such as matroid and knapsack constraints. The input of our problem is a finite set of items, and each item is in a ... More

Continuous-stage Runge-Kutta methods based on weighted orthogonal polynomialsMay 25 2018Jul 05 2018We develop continuous-stage Runge-Kutta methods based on weighted orthogonal polynomials in this paper. There are two main highlighted merits for developing such methods: Firstly, we do not need to study the tedious solution of multi-variable nonlinear ... More

On the bounds of sharp Trudinger-Moser inequalitiesJan 08 2019In this paper, we establish the bounds of sharp Trudinger-Moser inequalities on Euclidean space. Let $B$ be a ball in $\mathbb{R}^n$ and $$TM(B)=\sup_{u\in{W_{0}^{1,n}(B)},\|\nabla u\|_{n}\leq{1}}\frac{1}{|B|}\int_{B}\exp(\alpha_{n}|u(x)|^{\frac{n}{n-1}})dx.$$ ... More

Equivariant mirror symmetry for the weighted projective lineDec 13 2017Aug 09 2018In this paper, we establish equivariant mirror symmetry for the weighted projective line. This extends the results by B. Fang, C.C. Liu and Z. Zong, where the projective line was considered [{\it Geometry \& Topology} 24:2049-2092, 2017]. More precisely, ... More

Energy-preserving continuous-stage Runge-Kutta-Nyström methodsAug 25 2018Many practical problems can be described by second-order system $\ddot{q}=-M\nabla U(q)$, in which people give special emphasis to some invariants with explicit physical meaning, such as energy, momentum, angular momentum, etc. However, conventional numerical ... More

Continuous-stage Runge-Kutta methods based on weighted orthogonal polynomialsMay 25 2018Jun 10 2019We develop continuous-stage Runge-Kutta methods based on weighted orthogonal polynomials in this paper. There are two main highlighted merits for developing such methods: Firstly, we do not need to study the tedious solution of multi-variable nonlinear ... More

Biderivations of finite dimensional complex simple Lie algebrasOct 12 2016Dec 19 2016In this paper, we prove that a biderivation of a finite dimensional complex simple Lie algebra without the restriction of skewsymmetric is inner. As an application, the biderivation of a general linear Lie algebra is presented. In particular, we find ... More

Weighted norm inequalities for Schrödinger type operatorsSep 01 2011Let $L=-\Delta+V$ be a Schr\"{o}dinger operator, where $\Delta $ is the Laplacian operator on $\rz$, while nonnegative potential $V$ belongs to the reverse H\"{o}lder class. In this paper, we establish the weighted norm inequalities for some Schr\"odinger ... More

Congruences modulo powers of 3 for 2-color partition triplesMay 23 2018Let $p_{k,3}(n)$ enumerate the number of 2-color partition triples of $n$ where one of the colors appears only in parts that are multiples of $k$. In this paper, we prove several infinite families of congruences modulo powers of 3 for $p_{k,3}(n)$ with ... More

New congruences for broken $k$-diamond partitionsSep 08 2017The notion of broken $k$-diamond partitions was introduced by Andrews and Paule. Let $\Delta_{k}(n)$ denote the number of broken $k$-diamond partitions of $n$ for a fixed positive integer $k$. In this paper, we establish new infinite families of broken ... More

EPICS Software Development for SNS VME-based Timing and RTDL SystemNov 16 2001The Spallation Neutron Source (SNS) timing and Real Time Data Link (RTDL) systems are being designed and developed at Brookhaven National Laboratory (BNL), Los Alamos National Laboratory (LANL) and other SNS collaborating labs [1]. The VME-based SNS timing ... More

Phenomenology of Neutrino Oscillations at the Neutrino FactoryDec 29 2011We consider the prospects for a neutrino factory to measure mixing angles, the CP violating phase and mass-squared differences by detecting wrong-charged muons arising from the chain \mu^+ to \nu_e to \nu_\mu\ to \mu^- and the right-charged muons coming ... More

A noniterative sample size procedure for tests based on t distributionsApr 12 2018A noniterative sample size procedure is proposed for a general hypothesis test based on the t distribution by modifying and extending Guenther's (1981) approach for the one sample and two sample t tests. The generalized procedure is employed to determine ... More

An efficient multiple imputation algorithm for control-based and delta-adjusted pattern mixture models using SASOct 12 2016In clinical trials, mixed effects models for repeated measures (MMRM) and pattern mixture models (PMM) are often used to analyze longitudinal continuous outcomes. We describe a simple missing data imputation algorithm for the MMRM that can be easily implemented ... More

More Is Different: Reconciling eV Sterile Neutrinos with Cosmological Mass BoundsDec 31 2014Sep 24 2015It is generally expected that adding light sterile species would increase the effective number of neutrinos, $N_{eff}$. In this paper we discuss a scenario that $N_{eff}$ can actually decrease due to the neutrino oscillation effect if sterile neutrinos ... More

A monotone data augmentation algorithm for multivariate nonnormal data: with applications to controlled imputations for longitudinal trialsNov 20 2018An efficient monotone data augmentation (MDA) algorithm is proposed for missing data imputation for incomplete multivariate nonnormal data that may contain variables of different types, and are modeled by a sequence of regression models including the ... More

Implications of LHC Searches for Massive GravitonJun 29 2012Jul 31 2012With the latest LHC available results, we consider the generic constraints on massive graviton. Both dijet and dilepton resonance searches are used. The limits on parameter space can be applied to many models. As an illustration, we show the constraints ... More

Comment on "Could the Excess Seen at 124-126 GeV Be due to the Randall-Sundrum Radion?"Apr 27 2012In recent Letter by Cheung et al.[PRL {\bf 108},141602(2012)], one very interesting suggestion for the excess around 125 GeV seen at the LHC is a RS radion with $\Lambda_\phi=680$GeV. In this note, we show that taking constraints on the RS graviton into ... More

An arithmetic Lefschetz-Riemann-Roch theorem. With an appendix by Xiaonan MaMar 26 2015May 14 2019In this article, we consider regular arithmetic schemes in the context of Arakelov geometry, endowed with an action of the diagonalisable group scheme associated to a finite cyclic group. For any equivariant and proper morphism between such arithmetic ... More

Localization theorem for higher arithmetic K-theoryNov 23 2014May 14 2019Quillen's localization theorem is well known as a fundamental theorem in the study of algebraic K-theory. In this paper, we present its arithmetic analogue for the equivariant K-theory of arithmetic schemes, which are endowed with an action of certain ... More

System Identification in Dynamical SamplingFeb 10 2015Aug 31 2015We consider the problem of spatiotemporal sampling in a discrete infinite dimensional spatially invariant evolutionary process $x^{(n)}=A^nx$ to recover an unknown convolution operator $A$ given by a filter $a \in \ell^1(\mathbb{Z})$ and an unknown initial ... More

Uniqueness of equivariant singular Bott-Chern classesMay 27 2010Feb 22 2011In this paper, we shall discuss possible theories of defining equivariant singular Bott-Chern classes and corresponding uniqueness property. By adding a natural axiomatic characterization to the usual ones of equivariant Bott-Chern secondary characteristic ... More

Biderivations of finite dimensional complex simple Lie algebrasOct 12 2016Oct 13 2016In this paper, we prove that the biderivation of finite dimensional complex simple Lie algebra without the restriction of skew-symmetric is inner. As applications, we characterize the biderivation of general linear Lie algebra, it is a non-inner and non-skew-symmetric ... More

Biderivations of finite dimensional complex simple Lie algebrasOct 12 2016Oct 15 2016In this paper, we prove that the biderivation of finite dimensional complex simple Lie algebra without the restriction of skewsymmetric is inner. As applications, we characterize the biderivation of general linear Lie algebra, it is a non-inner and non-skewsymmetric ... More

J/psi production and correlation in p+p and Au+Au collisions at STARJul 04 2011The results on J/psi pT spectra in 200 GeV p+p and Au+Au collisions at STAR with pT in the range of 3-10 GeV/c are presented. Nuclear modification factor of high-pT J/psi is found to be consistent with no suppression in peripheral Au+Au collisions and ... More

Closed-form REML estimators and sample size determination for mixed effects models for repeated measures under monotone missingnessNov 01 2016We derive the closed-form restricted maximum likelihood (REML) estimator and Kenward-Roger's variance estimator for fixed effects in the mixed effects model for repeated measures (MMRM) when the missing data pattern is monotone. As an important application ... More

An arithmetic Lefschetz-Riemann-Roch theoremMar 26 2015Jul 12 2015In this article, we consider regular arithmetic schemes in the context of Arakelov geometry, endowed with an action of the diagonalisable group scheme associated to a finite cyclic group. For any equivariant and proper morphism of such arithmetic schemes, ... More

Are Chlorine Isotopologues of Polychlorinated Organic Compounds Exactly Binomially Distributed? A Theoretical Study and Implications to ExperimentsJun 14 2017Jun 15 2017Chlorine isotopologues of polychlorinated organic compounds are usually recognized to follow binomial distribution. Is this recognition exactly true? This study presents a solid theoretical derivation to prove whether the isotopologue distributions of ... More

Elliptic Flow From Au+Au Collisions at 200 GeVAug 19 2003This paper presents results of elliptic flow measurements at moderate high transverse momentum in Au+Au collisions using the STAR detector at RHIC. Sizable $v_{2}$ is found up to 7 GeV/c in transverse momentum. Non-flow effects are discussed comparing ... More

Continuous-stage Runge-Kutta-NystrÖm methodsJul 09 2018Jul 25 2018We develop continuous-stage Runge-Kutta-Nystr\"Om (csRKN) methods in this paper. By leading weight function into the formalism of csRKN methods and modifying the original pattern of continuous-stage methods, we establish a new and larger framework for ... More

Biderivations and commutative post-Lie algebra structures on the Lie algebra W(a,b)Dec 26 2017Jan 02 2018For $a,b\in \mathbb{C}$, the Lie algebra $\mathcal{W}(a,b)$ is the semidirect product of the Witt algebra and a module of the intermediate series. In this paper, all biderivations of $\mathcal{W}(a,b)$ are determined. Surprisingly, these Lie algebras ... More

Price of Dependence: Stochastic Submodular Maximization with Dependent ItemsMay 23 2019Jun 06 2019In this paper, we study the stochastic submodular maximization problem with dependent items subject to a variety of packing constraints such as matroid and knapsack constraints. The input of our problem is a finite set of items, and each item is in a ... More

Removing a ray from a noncompact symplectic manifoldDec 02 2018Mar 10 2019We prove that any noncompact symplectic manifold which admits a properly embedded ray with a wide neighborhood is symplectomorphic to the complement of the ray by constructing an explicit symplectomorphism in the case of the standard Euclidean space. ... More

Effect of histamine on the electric activities of cerebellar Purkinje cellJan 31 1999The effect of histamine (HA) on the electric activities of Purkinje cell (PC) is studied on the cerebellum slice. We find that: (1) HA's main effect on PC is excitative (72.9%); there are also a small amount of PC showing inhibitive (10.2%) or no (16.9%) ... More

Post-Lie algebra structures on the Witt algebraJan 01 2017Aug 19 2017In this paper, we characterize the graded post-Lie algebra structures and a class of shifting post-Lie algebra structures on the Witt algebra. We obtain some new Lie algebras and give a class of their modules. As an application, the homogeneous Rota-Baxter ... More

Robust Consensus Tracking of Heterogeneous Multi-Agent Systems under Switching TopologiesAug 13 2015In this paper, we consider a robust consensus tracking problem of heterogeneous multi-agent systems with time-varying interconnection topologies. Based on common Lyapunov function and internal model techniques, both state and output feedback control laws ... More

Price of Dependence: Stochastic Submodular Maximization with Dependent ItemsMay 23 2019Jul 11 2019In this paper, we study the stochastic submodular maximization problem with dependent items subject to packing constraints such as matroid and knapsack constraints. The input of our problem is a finite set of items, and each item is in a particular state ... More

Submodular Maximization under Fading Model: Building Online Quizzes for Better Customer SegmentationJan 23 2019Feb 11 2019E-Commerce personalization aims to provide individualized offers, product recommendations, and other content to customers based on their interests. The foundation of any personalization effort is customer segmentation. The idea of customer segmentation ... More

Toward Optimal Coupon Allocation in Social Networks: An Approximate Submodular Optimization ApproachFeb 02 2018Feb 22 2018CMO Council reports that 71\% of internet users in the U.S. were influenced by coupons and discounts when making their purchase decisions. It has also been shown that offering coupons to a small fraction of users (called seed users) may affect the purchase ... More

Dual morse index estimates and application to Hamiltonian systems with P-boundary conditionsJun 14 2016In this paper, we study the multiplicity of Hamiltonian systems with P-boundary conditions.

A Lefschetz fixed point formula for singular arithmetic schemes with smooth generic fibresFeb 10 2010Feb 22 2011In this article, we consider singular equivariant arithmetic schemes whose generic fibres are smooth. For such schemes, we prove a relative fixed point formula of Lefschetz type in the context of Arakelov geometry. This formula is an analog, in the arithmetic ... More

Dual Representation as Stochastic Differential Games of Backward Stochastic Differential Equations and Dynamic EvaluationsFeb 15 2006In this Note, assuming that the generator is uniform Lipschitz in the unknown variables, we relate the solution of a one dimensional backward stochastic differential equation with the value process of a stochastic differential game. Under a domination ... More

Capillary Rise in Tubes with Sharp GroovesJan 17 1994Liquid in grooved capillaries, made by e.g. inserting a plate in a cylindrical tube, exhibits unusual spreading and flow properties. One example is capillary rise, where a long, upward tongue on top of the usual meniscus has been observed along the groove. ... More

The Automorphism Groups for a family of Generalized Weyl AlgebrasOct 14 2016In this paper, we study a family of generalized Weyl algebras $\{\A\}$ and their polynomial extensions. We will show that the algebra $\A$ has a simple localization $\A_{\mathbb{S}}$ when none of $p$ and $q$ is a root of unity. As an application, we determine ... More

The Prime ideal Stratification and The Automorphism Group of $U^{+}_{r,s}(B_{2})$Sep 12 2011Let ${\mathfrak g}$ be a finite dimensional complex simple Lie algebra, and let $r,s\in \mathbb{C}^{\ast}$ be transcendental over $\mathbb{Q}$ such that $r^{m}s^{n}=1$ implies $m=n=0$. We will obtain some basic properties of the two-parameter quantized ... More

(Hopf) Algebra Automorphisms of the Hopf algebra ${\check U}^{\geq 0}_{r,s}({\mathfrak sl_{3}})$Jun 09 2011In this paper, we completely determine the group of algebra automorphisms for the two-parameter Hopf algebra ${\check U}_{r,s}^{\geq 0}({\mathfrak sl_{3}})$. As a result, the group of Hopf algebra automorphisms is determined for $\V$ as well. We further ... More

Removing a ray from a noncompact symplectic manifoldDec 02 2018We prove that any noncompact symplectic manifold which admits a properly embedded ray with a wide neighborhood is symplectomorphic to the complement of the ray by constructing an explicit symplectomorphism between the standard Euclidean space and the ... More

Right-unitary transformation theory and applicationsApr 30 1996We develop a new transformation theory in quantum physics, where the transformation operators, defined in the infinite dimensional Hilbert space, have right-unitary inverses only. Through several theorems, we discuss the properties of state space of such ... More

A quantum-inspired classical algorithm for recommendation systemsJul 10 2018A recommendation system suggests products to users based on data about user preferences. It is typically modeled by a problem of completing an $m\times n$ matrix of small rank $k$. We give the first classical algorithm to produce a recommendation in $O(\text{poly}(k)\text{polylog}(m,n))$ ... More

Heavy Bernoulli-percolation clusters are indistinguishableSep 05 2018We prove that the heavy clusters are indistinguishable for Bernoulli percolation on quasi-transitive nonunimodular graphs. As an application, we show that the uniqueness threshold of any quasi-transitive graph is also the threshold for connectivity decay. ... More

Regularity And Extremality Of Quasiconformal Homeomorphisms On CR 3-ManifoldsDec 30 1993This paper first studies the regularity of conformal homeomorphisms on smooth locally embeddable strongly pseudoconvex CR manifolds. Then moduli of curve families are used to estimate the maximal dilatations of quasiconformal homeomorphisms. On certain ... More

Directed Flow of Identified Particles in Au + Au Collisions at $\sqrtsNN = 200$ GeVApr 26 2010STAR's measurements of directed flow ($v_1$) for pions, kaons (charged and $K_s^0$), protons and antiprotons for Au + Au collisions at $\sqrtsNN = 200$ GeV are presented. Negative $v_1(y)$ slope is observed for pions, antiprotons, protons and kaons. The ... More

Neutrino Counter Nuclear WeaponMay 26 2008Jun 25 2013Radiations produced by neutrino-antineutrino annihilation at the Z0 pole can be used to heat up the primary stage of a thermonuclear warhead and can in principle detonate the device remotely. Neutrino-antineutrino annihilation can also be used as a tactical ... More

Sequence Prediction with Neural Segmental ModelsSep 05 2017Jun 13 2018Segments that span contiguous parts of inputs, such as phonemes in speech, named entities in sentences, actions in videos, occur frequently in sequence prediction problems. Segmental models, a class of models that explicitly hypothesizes segments, have ... More

Uniqueness for the martingale problem associated with pure jump processes of variable orderDec 26 2007Jun 22 2008Let $L$ be the operator defined on $C^2$ functions by $$L f(x)=\int[f(x+h)-f(x)-1_{(|h|\leq 1)}\nabla f(x)\cdot h]\frac{n(x,h)}{|h|^{d+\alpha(x)}}dh.$$ This is an operator of variable order and the corresponding process is of pure jump type. We consider ... More

A note on the frontier of a branching reflected Brownian motionApr 02 2014Apr 04 2014In this note, we study the asymptotical frontier behavior of a branching reflected Brownian motion. There is essentially no difference in maximal displacement between a branching Brownian motion and its reflected counterpart. We provide two proofs of ... More

Symplectic integration with Jacobi polynomialsJun 08 2018In this paper, we study symplectic integration of canonical Hamiltonian systems with Jacobi polynomials. The relevant theoretical results of continuous-stage Runge-Kutta methods are revisited firstly and then symplectic methods with Jacobi polynomials ... More

Chebyshev symplectic methods based on continuous-stage Runge-Kutta methodsMay 29 2018Jun 08 2018We develop Chebyshev symplectic methods based on Chebyshev orthogonal polynomials of the first and second kind separately in this paper. Such type of symplectic methods can be conveniently constructed with the newly-built theory of weighted continuous-stage ... More

Thresholding for Top-k Recommendation with Temporal DynamicsJun 06 2015Nov 09 2015This work focuses on top-k recommendation in domains where underlying data distribution shifts overtime. We propose to learn a time-dependent bias for each item over whatever existing recommendation engine. Such a bias learning process alleviates data ... More

Random homogenization of p-Laplacian with obstacles in perforated domainOct 22 2010In this paper,we will study the homogenization of $p$-Laplacian with obstacles in perforated domain, where the holes are periodically distributed and have random size. And we also assume that the $p$-capacity of each hole is stationary ergodic.

Deformation Quantization of Pseudo Symplectic(Poisson) GroupoidsMay 19 2004We introduce a new kind of groupoid--a pseudo \'etale groupoid, which provides many interesting examples of noncommutative Poisson algebras as defined by Block, Getzler, and Xu. Following the idea that symplectic and Poisson geometries are the semiclassical ... More

Biderivations of W-algebra $W(2,2)$ and Virasoro algebra without skewsymmetric condition and their applicationsOct 26 2016Nov 06 2016In this paper, we characterize the biderivations of W-algebra $W(2,2)$ and Virasoro algebra $Vir$ without skewsymmetric condition. We get two classes of non-inner biderivations. As applications, we also get the forms of linear commuting maps on W-algebra ... More

Efficient algorithms for modifying and sampling from a categorical distributionJun 27 2019Probabilistic programming languages and other machine learning applications often require samples to be generated from a categorical distribution where the probability of each one of $n$ categories is specified as a parameter. If the parameters are hyper-parameters ... More

On Whittaker modules over a class of algebras similar to $U(sl_{2})$Oct 29 2006Motivated by the study of invariant rings of finite groups on the first Weyl algebras $A_{1}$ (\cite{AHV}) and finding interesting families of new noetherian rings, a class of algebras similar to $U(sl_{2})$ were introduced and studied by Smith in \cite{S}. ... More

On Irreducible weight representations of a new deformation $U_{q}(sl_{2})$ of $U(sl_{2})$Oct 29 2006Starting from a Hecke $R-$matrix, Jing and Zhang constructed a new deformation $U_{q}(sl_{2})$ of $U(sl_{2})$, and studied its finite dimensional representations in \cite{JZ}. Especically, this algebra is proved to be just a bialgebra, and all finite ... More

TF.Learn: TensorFlow's High-level Module for Distributed Machine LearningDec 13 2016TF.Learn is a high-level Python module for distributed machine learning inside TensorFlow. It provides an easy-to-use Scikit-learn style interface to simplify the process of creating, configuring, training, evaluating, and experimenting a machine learning ... More

Coordination of Heterogeneous Nonlinear Multi-Agent Systems with Prescribed BehaviorsOct 05 2016In this paper, we consider a coordination problem for a class of heterogeneous nonlinear multi-agent systems with a prescribed input-output behavior which was represented by another input-driven system. In contrast to most existing multi-agent coordination ... More

Closed-form REML estimators and sample size determination for mixed effects models for repeated measures under monotone missingnessNov 01 2016Jan 20 2017We derive the closed-form restricted maximum likelihood (REML) estimator and Kenward-Roger's variance estimator for fixed effects in the mixed effects model for repeated measures (MMRM) when the missing data pattern is monotone. As an important application ... More

Cycles in the de Rham cohomology of abelian varieties over number fieldsOct 05 2015Oct 05 2017In his 1982 paper, Ogus defined a class of cycles in the de Rham cohomology of smooth proper varieties over number fields. This notion is a crystalline analogue of $\ell$-adic Tate cycles. In the case of abelian varieties, this class includes all the ... More

Distributed Optimal Steady-State Regulation for High-Order Multi-Agent Systems with External DisturbancesFeb 03 2019In this paper, a distributed optimal steady-state regulation problem is formulated and investigated for heterogeneous linear multi-agent systems subject to external disturbances. We aim to steer this high-order multi-agent network to a prescribed steady-state ... More

Output Average Consensus Over Heterogeneous Multi-Agent Systems via Two-Level ApproachFeb 02 2017In this paper, a novel two-level framework was proposed and applied to solve the output average consensus problem over heterogeneous multi-agent systems. This approach is mainly based on the recent technique of system abstraction. For given multi-agent ... More

Non-Nehari manifold method for asymptotically periodic Schrödinger equationMay 12 2014Nov 30 2014We consider the semilinear Schr\"odinger equation $$ \left\{ \begin{array}{ll} -\triangle u+V(x)u=f(x, u), \ \ \ \ x\in {\R}^{N}, u\in H^{1}({\R}^{N}), \end{array} \right. $$ where $f$ is a superlinear, subcritical nonlinearity. We mainly study the case ... More

Exponential ergodicity and convergence for generalized reflected Brownian motionJun 11 2018Jun 15 2019In this paper we provide convergence analysis for a class of Brownian queues in tandem by establishing an exponential drift condition. A consequence is the uniform exponential ergodicity for these multidimensional diffusions, including the O'Connell-Yor ... More

Universal Spatiotemporal Sampling Sets for Discrete Spatially Invariant Evolution SystemsFeb 17 2017Let $(I,+)$ be a finite abelian group and $\mathbf{A}$ be a circular convolution operator on $\ell^2(I)$. The problem under consideration is how to construct minimal $\Omega \subset I$ and $l_i$ such that $Y=\{\mathbf{e}_i, \mathbf{A}\mathbf{e}_i, \cdots, ... More

Minimal $P$-symmetric periodic solutions of nonlinear Hamiltonian systemsJun 14 2016In this paper some existence results for the minimal P-symmetric periodic solutions are proved for first order autonomous Hamiltonian systems when the Hamiltonian function is superquadratic, asymptotically linear and subquadratic. These are done by using ... More