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Effects of Home Resources and School Environment on Eighth-Grade Mathematics Achievement in TaiwanDec 31 2017Over the past decades, researchers have explored the relationship among home resources, school environment, and students' mathematics achievement in a large amount of studies. Many of them suggested that rich home resources for learning were related to ... More

Stochastic Perron for stochastic target gamesAug 28 2014Apr 06 2016We extend the stochastic Perron method to analyze the framework of stochastic target games, in which one player tries to find a strategy such that the state process almost surely reaches a given target no matter which action is chosen by the other player. ... More

Stochastic Perron for Stochastic Target ProblemsApr 13 2016May 17 2016In this paper, we adapt stochastic Perron's method to analyze a stochastic target problem with unbounded controls in a jump diffusion set-up. With this method, we construct a viscosity sub-solution and super-solution to the associated Hamiltonian-Jacobi-Bellman ... More

Long-time asymptotics of the modified KdV equation in weighted Sobolev spacesMar 09 2019The long time behavior of solutions to the defocusing modified Korteweg-de vries (MKdV) equation is established for initial conditions in some weighted Sobolev spaces. Our approach is based on the nonlinear steepest descent method of Deift and Zhou and ... More

Long-time asymptotics of the modified KdV equation in weighted Sobolev spacesMar 09 2019Mar 21 2019The long time behavior of solutions to the defocusing modified Korteweg-de vries (MKdV) equation is established for initial conditions in some weighted Sobolev spaces. Our approach is based on the nonlinear steepest descent method of Deift and Zhou and ... More

Generative Hybrid Representations for Activity Forecasting with No-Regret LearningApr 12 2019Automatically reasoning about future human behaviors is a difficult problem with significant practical applications to assistive systems. Part of this difficulty stems from learning systems' inability to represent all kinds of behaviors. Some behaviors, ... More

Generation of Synthetic Electronic Medical Record TextDec 06 2018Machine learning (ML) and Natural Language Processing (NLP) have achieved remarkable success in many fields and have brought new opportunities and high expectation in the analyses of medical data. The most common type of medical data is the massive free-text ... More

On the controller-stopper problems with controlled jumpsSep 13 2016We analyze the continuous time zero-sum and cooperative controller-stopper games of Karatzas and Sudderth [Annals of Probability, 2001], Karatzas and Zamfirescu [Annals of Probability, 2008] and Karatzas and Zamfirescu [Applied Mathematics and Optimization, ... More

A description of transverse momentum distributions in p+p collisions at RHIC and LHC energiesNov 05 2018It has long been debated whether the hydrodynamics is suitable for the smaller colliding systems such as p+p collisions. In this paper, by assuming the existence of longitudinal collective motion and long-range interactions in the hot and dense matter ... More

Energy-efficient Amortized Inference with Cascaded Deep ClassifiersOct 10 2017Deep neural networks have been remarkable successful in various AI tasks but often cast high computation and energy cost for energy-constrained applications such as mobile sensing. We address this problem by proposing a novel framework that optimizes ... More

Asynchronous Decentralized Optimization in Directed NetworksJan 24 2019A popular asynchronous protocol for decentralized optimization is randomized gossip where a pair of neighbors concurrently update via pairwise averaging. In practice, this creates deadlocks and is vulnerable to information delays. It can also be problematic ... More

Superstructure evolution of tellurium atoms on Au(111) surface at different coveragesMay 03 2017We systematically investigated the superstructure evolution of Te atoms on Au(111) substrate at different coverages. As revealed by low temperature scanning tunneling microscopy and spectroscopy, Te atoms form one-dimensional root3 R30{\deg} chains near ... More

Large Magnetic Anisotropy of an Iron-Porphyrin Complex on Metal SubstrateJul 18 2017Single magnetic atoms or molecules with large single-ion magnetic anisotropy are highly desired for future applications in high-density data storage and quantum computation. Here we have synthesized an Fe-porphyrin complex on Au(111) substrate in a controlled ... More

Epitaxial Growth and Band Structure of Te Film on GrapheneMar 21 2017Tellurium (Te) films with monolayer and few-layer thickness are obtained by molecular beam epitaxy on a graphene/6H-SiC(0001) substrate and investigated by in situ scanning tunneling microscopy and spectroscopy (STM/STS). We reveal that the Te films are ... More

Bayesian Filtering with Unknown Sensor Measurement LossesJan 24 2018This work studies the state estimation problem of a stochastic nonlinear system with unknown sensor measurement losses. If the estimator knows the sensor measurement losses of a linear Gaussian system, the minimum variance estimate is easily computed ... More

Detecting the structure of haplotypes, local ancestry and excessive local European ancestry in MexicansApr 05 2013We present a two-layer hidden Markov model to detect structure of haplotypes for unrelated individuals. This allows modeling two scales of linkage disequilibrium (one within a group of haplotypes and one between groups), thereby taking advantage of rich ... More

Long-time dynamics of resonant weakly nonlinear CGL equationsJul 04 2014Consider a weakly nonlinear CGL equation on the torus~$\mathbb{T}^d$: \[u_t+i\Delta u=\epsilon [\mu(-1)^{m-1}\Delta^{m} u+b|u|^{2p}u+ ic|u|^{2q}u].\eqno{(*)}\] Here $u=u(t,x)$, $x\in\mathbb{T}^d$, $0<\epsilon<<1$, $\mu\geqslant0$, $b,c\in\mathbb{R}$ and ... More

An averaging theorem for nonlinear Schrödinger equations with small nonlinearitiesDec 03 2013Consider nonlinear Schr\"odinger equations with small nonlinearities \[\frac{d}{dt}u+i(-\triangle u+V(x)u)=\epsilon \mathcal{P}(\triangle u,u,x),\quad x\in \mathbb{T}^d.\eqno{(*)}\] Let $\{\zeta_1(x),\zeta_2(x),\dots\}$ be the $L_2$-basis formed by eigenfunctions ... More

Efficient and Robust Density Estimation Using Bernstein Type PolynomialsApr 28 2014Jun 21 2015Method of parameterizing and smoothing the unknown underling distributions using Bernstein polynomials is proposed, verified and investigated. Any distribution with bounded and smooth enough density can be approximated by the proposed model. The approximating ... More

Important Notes on Lyapunov ExponentsJan 14 2014It is shown that the famous Lyapunov exponents cannot be used as the numerical characteristic for distinguishing different kinds of attractors, such as the equilibrium point, the limit closed curve, the stable torus and the strange attractor.

Some Estimates of Virtual Element Methods for Fourth Order ProblemsMay 02 2018We employed the techniques developed for second order problem to obtain the new estimates of Virtual Element Method for fourth order operator. The projection and interpolation error estimates are included. Also, the biharmonic problem is solved by Virtual ... More

On regularity of SLE_8 curvesMay 09 2007Sep 13 2008This paper has been withdrawn by the author due to essential mistakes in some previous versions.

Interpret Federated Learning with Shapley ValuesMay 11 2019Federated Learning is introduced to protect privacy by distributing training data into multiple parties. Each party trains its own model and a meta-model is constructed from the sub models. In this way the details of the data are not disclosed in between ... More

Test Error Estimation after Model Selection Using Validation ErrorJan 09 2018Feb 11 2018When performing supervised learning with the model selected using validation error from sample splitting and cross validation, the minimum value of the validation error can be biased downward. We propose two simple methods that use the errors produced ... More

Maximum Approximate Bernstein Likelihood Estimation in Proportional Hazard Model for Interval-Censored DataJun 20 2019Maximum approximate Bernstein likelihood estimates of density function and regression coefficients in the proportional hazard regression models based on interval-censored event time data are proposed and studied. Smooth estimates of the survival and density ... More

Bernstein Polynomial Model for Grouped Continuous DataJun 21 2015Jul 18 2015Grouped data are commonly encountered in applications. The Bernstein polynomial model is proposed as an approximate model in this paper for estimating a univariate density function based on grouped data. The coefficients of the Bernstein polynomial, as ... More

The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifoldsMar 10 2014Aug 29 2018We solve the Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifolds under essentially optimal structure conditions, especially with no restrictions to the curvature of the underlying manifold and the second fundamental form of ... More

Accelerated Nonparametric Maximum Likelihood Density Deconvolution Using Bernstein PolynomialJan 24 2016A new method for deconvoluting density in measurement error models using the Bernstein type polynomial model which is actually a finite mixture of specific beta distributions is proposed and studied. The change-point detection method is used to choose ... More

The Dirichlet problem for fully nonlinear elliptic equations on Riemannian manifoldsMar 10 2014We study a class of fully nonlinear elliptic equations on Riemannian manifolds and solve the Dirichlet problem in a domain with no geometric restrictions to the boundary under essentially optimal structure conditions. It includes a new (and optimal) result ... More

Critical phenomena in one dimension from a Bethe ansatz perspectiveAug 20 2014Aug 31 2014This article briefly reviews recent theoretical developments in quantum critical phenomena in one-dimensional (1D) integrable quantum gases of cold atoms. We present a discussion on quantum phase transitions, universal thermodynamics, scaling functions ... More

Probing semiconductor quantum dot state and manipulation with superconducting transmission line resonatorDec 08 2013A coupled system of a superconducting transmission line resonator with a semiconductor double quantum dot is analyzed. We simulate the phase shift of the microwave signal in the resonator, which is sensitive to the quantum dot qubit state and manipulation. ... More

Equations for secant varieties of Chow varietiesFeb 13 2016Apr 24 2016The Chow variety of polynomials that decompose as a product of linear forms has been studied for more than 100 years. Finding equations in the ideal of secant varieties of Chow varieties would enable one to measure the complexity the permanent to prove ... More

Geometry of PolysemyOct 24 2016Vector representations of words have heralded a transformational approach to classical problems in NLP; the most popular example is word2vec. However, a single vector does not suffice to model the polysemous nature of many (frequent) words, i.e., words ... More

Accelerated Nonparametric Maximum Likelihood Density Deconvolution Using Bernstein PolynomialJan 24 2016Jan 26 2018A new maximum likelihood method for deconvoluting a continuous density with a positive lower bound on a known compact support in additive measurement error models with known error distribution using the approximate Bernstein type polynomial model, a finite ... More

Extremal function of intrinsic normsOct 12 2004Through the study of the degenerate complex Monge-Amp\`ere equation, we establish the optimal regularity of the extremal function associated to intrinsic norms of Chern-Levine-Nirenberg and Bedford-Taylor. We prove a conjecture of Chern-Levine-Nirenberg ... More

The Gaussian Correlation Inequality for Symmetric Convex SetsDec 03 2010Mar 02 2013The paper is to prove the Gaussian correlation conjecture stating that, under the standard Gaussian measure, the measure of the intersection of any two symmetric convex sets is greater than or equal to the product of their measures. Characterization of ... More

Iterated Bernstein polynomial approximationsSep 03 2009Oct 16 2009Iterated Bernstein polynomial approximations of degree n for continuous function which also use the values of the function at i/n, i=0,1,...,n, are proposed. The rate of convergence of the classic Bernstein polynomial approximations is significantly improved ... More

On long time dynamics of perturbed KdV equationsOct 21 2013Dec 06 2013Consider perturbed KdV equations: \[u_t+u_{xxx}-6uu_x=\epsilon f(u(\cdot)),\quad x\in\mathbb{T}=\mathbb{R}/\mathbb{Z},\;\int_{\mathbb{T}}u(x,t)dx=0,\] where the nonlinearity defines analytic operators $u(\cdot)\mapsto f(u(\cdot))$ in sufficiently smooth ... More

Brill's equations as a GL(V)-moduleAug 10 2015Apr 17 2016The Chow variety of polynomials that decompose as a product of linear forms has been studied for more than 100 years. Brill, Gordon and others obtained set-theoretical equations for the Chow variety. In this article, I compute Brill's equations as a GL(V)-module. ... More

Solitary Wave Solutions for the Nonlinear Dirac EquationsDec 12 2008In this paper we prove the existence and local uniqueness of stationary states for the nonlinear Dirac equation \[ i \sum_{j=0}^{3} \ga^j \pd_j \psi - m\psi + F(\bar{\psi}\psi)\psi =0 \] where $ m >0$ and $ F(s) = |s|^{\theta}$ for $ 1\leq \theta < 2.$ ... More

Generalized Floquet Exponent, Attractiveness Portrait and Structure Hidden in an AttractorMar 06 2014The generalized Floquet exponent and the attractiveness portrait (or A-portrait for short) of the attractor and of the smallest invariant closed set are suggested to be used for the study of dynamical systems. Based on the A-portrait, some simple structures ... More

Weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or facesFeb 06 2019In this paper, the weak Galerkin finite element method for second order problems on curvilinear polytopal meshes with Lipschitz continuous edges or faces was analyzed. The method here is designed to deal with second order problems with complex boundary ... More

Weak Galerkin finite element method for Poisson's equation on polytopal meshes with arbitrary small edges or facesMay 02 2018Jul 23 2018In this paper, the weak Galerkin finite element method for second order elliptic problems employing polygonal or polyhedral meshes with arbitrary small edges or faces was analyzed. With the shape regular assumptions, optimal convergence order for $H^1$ ... More

Hierarchical Attention Generative Adversarial Networks for Cross-domain Sentiment ClassificationMar 27 2019Cross-domain sentiment classification (CDSC) is an importance task in domain adaptation and sentiment classification. Due to the domain discrepancy, a sentiment classifier trained on source domain data may not works well on target domain data. In recent ... More

Global Existence for the Derivative Nonlinear Schrodinger Equation by the Method of Inverse ScatteringNov 04 2015Aug 14 2016We develop inverse scattering for the derivative nonlinear Schrodinger equation (DNLS) on the line using its gauge equivalence with a related nonlinear dispersive equation. We prove Lipschitz continuity of the direct and inverse scattering maps from the ... More

All-but-the-Top: Simple and Effective Postprocessing for Word RepresentationsFeb 05 2017Mar 19 2018Real-valued word representations have transformed NLP applications; popular examples are word2vec and GloVe, recognized for their ability to capture linguistic regularities. In this paper, we demonstrate a {\em very simple}, and yet counter-intuitive, ... More

On the existence and regularity of vector solutions for quasilinear systems with linear couplingJan 19 2018We study a class of linearly coupled system of quasilinear equations. Under some assumptions on the nonlinear terms, we establish some results about the existence and regularity of vector solutions for the p-Laplacian systems by using variational methods. ... More

Superconducting transition of FeSe/SrTiO3 induced by adsorption of semiconducting organic moleculesMar 22 2017We prepared superconducting and non-superconducting FeSe films on SrTiO3(001) substrates (FeSe/STO) and investigated the superconducting transition induced by charge transfer between organic molecules and FeSe layers by low temperature scanning tunneling ... More

Projective dimension and regularity of powers of edge ideals of vertex-weighted rooted forestsApr 04 2019In this paper we provide some exact formulas for projective dimension and the regularity of powers of edge ideals of vertex-weighted rooted forests. These formulas are functions of the weight of the vertices and the number of edges. We also give some ... More

Global Existence for the Derivative Nonlinear Schrödinger Equation with Arbitrary Spectral SingularitiesApr 04 2018Sep 05 2018We show that the derivative nonlinear Schr\"odinger (DNLS) equation is globally well-posed in the weighted Sobolev space $H^{2,2}(\mathbb{R})$. Our result exploits the complete integrability of DNLS and removes certain spectral conditions on the initial ... More

Study of Buffer-aided physical-layer network coding with ML and MMSE linear code designs for cooperative DS-CDMA systemsJul 20 2017In this work, we propose buffer-aided physical-layer network coding (PLNC) techniques for cooperative direct-sequence code-division multiple access systems. In the proposed buffer-aided PLNC schemes, a relay pair selection algorithm is employed to obtain ... More

Regularity of powers of edge ideals of vertex-weighted oriented unicyclic graphsApr 04 2019In this paper we provide some exact formulas for the regularity of powers of edge ideals of vertex-weighted oriented cycles and vertex-weighted unicyclic graphs. These formulas are functions of the weight of vertices and the number of edges. We also give ... More

Pseudometrically Constrained Centroidal Voronoi Tessellations: Generating uniform antipodally symmetric points on the unit sphere with a novel acceleration strategy and its applications to Diffusion and 3D radial MRINov 30 2012Purpose: The purpose of this work is to investigate the hypothesis that uniform sampling measurements that are endowed with antipodal symmetry play an important role when the raw data and image data are related through the Fourier relationship as in q-space ... More

Bayesian variable selection regression for genome-wide association studies and other large-scale problemsOct 27 2011We consider applying Bayesian Variable Selection Regression, or BVSR, to genome-wide association studies and similar large-scale regression problems. Currently, typical genome-wide association studies measure hundreds of thousands, or millions, of genetic ... More

The Dirichlet Problem for a Complex Monge-Ampere Type Equation on Hermitian ManifoldsOct 19 2012Jun 28 2013We are concerned with fully nonlinear elliptic equations on complex manifolds and search for technical tools to overcome difficulties in deriving a priori estimates which arise due to the nontrivial torsion and curvature, as well as the general (non-pseudoconvex) ... More

Interior C2 regularity of convex solutions to prescribing scalar curvature equationsNov 02 2017We establish interior $C^2$ estimates for convex solutions of scalar curvature equation and $\sigma_2$-Hessian equation. We also prove interior curvature estimate for isometrically immersed hypersurfaces $(M^n,g)\subset \mathbb R^{n+1}$ with positive ... More

A Microscopic Convexity Principle for Nonlinear Partial Differential EquationsMay 06 2008We establish a microscopic convexity principle for nonlinear elliptic and parabolic partial differential equations in general form.

A fully nonlinear conformal flow on locally conformally flat manifoldsDec 22 2001We study a fully nonlinear flow for conformal metrics. The long-time existence and the sequential convergence of flow are established for locally conformally flat manifolds. As an application, we solve the $\sk$-Yamabe problem for locally conformal flat ... More

Conformal deformations of the smallest eigenvalue of the Ricci tensorMay 05 2005We consider deformations of metrics in a given conformal class such that the smallest eigenvalue of the Ricci tensor to be a constant. It is related to the notion of minimal volumes in comparison geometry. Such a metric with the smallest eigenvalue of ... More

Hausdorff dimension of divergent trajectories on homogeneous spaceMay 18 2018For one parameter subgroup action on a finite volume homogeneous space, we consider the set of points admitting divergent on average trajectories. We show that the Hausdorff dimension of this set is strictly less than the manifold dimension of the homogeneous ... More

Super-Tonks-Girardeau gas of spin-1/2 interacting fermionsMay 04 2010Oct 20 2010Fermi gases confined in tight one-dimensional waveguides form two-particle bound states of atoms in the presence of a strongly attractive interaction. Based on the exact solution of the one-dimensional spin-1/2 interacting Fermi gas, we demonstrate that ... More

Weighted badly approximable vectors and gamesSep 27 2015Jan 11 2017We prove that the set of (r_1,r_2,..,r_{d})-badly approximable vectors is a winning set if r_1=r_2=...=r_{d-1}\geq r_{d}.

A sharp effectiveness result of Demailly's strong openness conjectureSep 18 2017Nov 24 2017In this article, we establish a sharp effectiveness result of Demailly's strong openness conjecture. We also establish a sharp effectiveness result related to a conjecture posed by Demailly and Koll\'ar.

Spin structure of harmonically trapped one-dimensional atoms with spin-orbit couplingAug 04 2015We introduce a theoretical approach to determine the spin structure of harmonically trapped atoms with two-body zero-range interactions subject to an equal mixture of Rashba and Dresselhaus spin-orbit coupling created through Raman coupling of atomic ... More

Sampling algebraic sets in local intrinsic coordinatesDec 14 2009Numerical data structures for positive dimensional solution sets of polynomial systems are sets of generic points cut out by random planes of complimentary dimension. We may represent the linear spaces defined by those planes either by explicit linear ... More

EnforceNet: Monocular Camera Localization in Large Scale Indoor Sparse LiDAR Point CloudJul 16 2019Pose estimation is a fundamental building block for robotic applications such as autonomous vehicles, UAV, and large scale augmented reality. It is also a prohibitive factor for those applications to be in mass production, since the state-of-the-art, ... More

Regularization Parameter Selection Method for Sign LMS with Reweighted L1-Norm Constriant AlgorithmMar 12 2015Apr 28 2015Broadband frequency-selective fading channels usually have the inherent sparse nature. By exploiting the sparsity, adaptive sparse channel estimation (ASCE) algorithms, e.g., least mean square with reweighted L1-norm constraint (LMS-RL1) algorithm, could ... More

KdV equation under periodic boundary conditions and its perturbationsSep 06 2013Oct 23 2013In this paper we discuss properties of the KdV equation under periodic boundary conditions, especially those which are important to study perturbations of the equation. Next we review what is known now about long-time behaviour of solutions for perturbed ... More

A Polyhedral Study of the Integrated Minimum-Up/-Down Time and Ramping PolytopeApr 07 2016In this paper, we study the polyhedral structure of an integrated minimum-up/-down time and ramping polytope, which has broad applications in variant industries. The polytope we studied includes minimum-up/-down time, generation ramp-up/-down rate, logical, ... More

A mean curvature type flow in space formsSep 19 2013In this article, we introduce a new type of mean curvature flow for bounded star-shaped domains in space forms and prove its longtime existence, exponential convergence without any curvature assumption. Along this flow, the enclosed volume is a constant ... More

Two Relaxation Time Lattice Boltzmann Method Coupled to Fast Fourier Transform Poisson Solver: Application to Electroconvective FlowDec 11 2018Dec 22 2018Electroconvective flow between two infinitely long parallel electrodes is investigated via a multiphysics computational model. The model solves for spatiotemporal flow properties using two-relaxation-time Lattice Boltzmann Method for fluid and charge ... More

Prediction and outlier detection: a distribution-free prediction set with a balanced objectiveMay 10 2019May 14 2019We consider the multi-class classification problem when the training data and the out-of-sample test data may have different distributions and propose a method called BCOPS (balanced and conformal optimized prediction set) that constructs a prediction ... More

Simple, Fast, and Scalable Reachability OracleMay 02 2013Jul 01 2013A reachability oracle (or hop labeling) assigns each vertex v two sets of vertices: Lout(v) and Lin(v), such that u reaches v iff Lout(u) \cap Lin(v) \neq \emptyset. Despite their simplicity and elegance, reachability oracles have failed to achieve efficiency ... More

Period-doubling cascades of a Silnikov equationDec 07 2013Dec 15 2013Based on numerical results of a Silnikov equation, three period-doubling cascades, corresponding respectively to three different characters of the rotation number of a limit closed orbit, are studied, and the Feigenbaum constant is used successfully in ... More

A proof of Saitoh's conjecture for conjugate Hardy $H^{2}$ kernelsDec 12 2017Mar 11 2018In this article, we obtain a strict inequality between the conjugate Hardy $H^{2}$ kernels and the Bergman kernels on planar regular regions with $n>1$ boundary components, which is a conjecture of Saitoh.

Multiplier ideal sheaves, complex singularity exponents, and restriction formulaOct 13 2015Oct 25 2015In this article, we obtain two sharp equality conditions in the restriction formula on complex singularity exponents: an equality between the codimension of the zero variety of related multiplier ideal sheaves and the relative codimension of the restriction ... More

Restricted hom-Lie algebrasOct 06 2015The paper studies the structure of restricted hom-Lie algebras. More specifically speaking, we first give the equivalent definition of restricted hom-Lie algebras. Second, we obtain some properties of $p$-mappings and restrictable hom-Lie algebras. Finally, ... More

Two-weight codes from trace codes over $R_k$Dec 16 2016We construct a family of two-Lee-weight codes over the ring $R_k,$ which is defined as trace codes with algebraic structure of abelian codes. The Lee weight distribution of the two-weight codes is given. Taking the Gray map, we obtain optimal abelian ... More

On estimates for fully nonlinear elliptic equations with Neumann boundary conditions on Riemannian ManifoldsNov 29 2018We derive gradient and second order {\em a priori} estimates for solutions of the Neumann problem for a general class of fully nonlinear elliptic equations on compact Riemannian manifolds with boundary. These estimates yield regularity and existence results. ... More

On the deformations and derivations of $n$-ary multiplicative Hom-Nambu-Lie superalgebrasJan 03 2014In this paper, we introduce the relevant concepts of $n$-ary multiplicative Hom-Nambu-Lie superalgebras and construct three classes of $n$-ary multiplicative Hom-Nambu-Lie superalgebras. As a generalization of the notion of derivations for $n$-ary multiplicative ... More

Small World MCMC with Tempering: Ergodicity and Spectral GapNov 20 2012When sampling a multi-modal distribution $\pi(x)$, $x\in \rr^d$, a Markov chain with local proposals is often slowly mixing; while a Small-World sampler \citep{guankrone} -- a Markov chain that uses a mixture of local and long-range proposals -- is fast ... More

A Computationally Efficient Projection-Based Approach for Spatial Generalized Linear Mixed ModelsSep 08 2016Inference for spatial generalized linear mixed models (SGLMMs) for high-dimensional non-Gaussian spatial data is computationally intensive. The computational challenge is due to the high-dimensional random effects and because Markov chain Monte Carlo ... More

Nonparametric Multiple Change Point Detection for Non-Stationary Times SeriesJan 10 2019Jan 11 2019This article considers a nonparametric method for detecting change points in non-stationary time series. The proposed method will divide the time series into several segments so that between two adjacent segments, the normalized spectral density functions ... More

Curvature estimates for immersed hypersurfaces in Riemannian manifoldsApr 21 2016Aug 22 2016We establish mean curvature estimate for immersed hypersurface with nonnegative extrinsic scalar curvature in Riemannian manifold $(N^{n+1}, \bar g)$ through regularity study of a degenerate fully nonlinear curvature equation in general Riemannian manifold. ... More

Convex Combination of Overlap-Save Frequency-Domain Adaptive FiltersMay 03 2018In order to decrease the steady-state error and reduce the computational complexity and increase the ability to identify a large unknown system, a convex combination of overlap-save frequency-domain adaptive filters (COSFDAF) algorithm is proposed. From ... More

Energy and coverage efficiency trade-off in 5G small cell networksDec 14 2016Jul 05 2017When small cells are densely deployed in the fifth generation (5G) cellular networks, the base stations (BSs) switch-off strategy is an effective approach for saving energy consumption considering changes of traffic load. In general, the loss of coverage ... More

Rasch Analysis of the Mathematics Self Concept QuestionnaireDec 31 2017TIMSS & PIRLS International Study Center is a research center at Boston College that conducts a series of assessments in a number of countries to measure trends in mathematics and science achievement at the fourth and eighth grades. In general, TIMSS ... More

Vehicles to Pedestrians Signal Transmissions Based on Cloud ComputingDec 31 2018Collisions between vehicles and pedestrians usually result in the fatality to the vulnerable road users (VRUs). Thus, new technologies are needed to be developed for protecting the VRUs. Based on the high density of pedestrians and limited computing capability ... More

Research on the fast Fourier transform of image based on GPUMay 29 2015Study of general purpose computation by GPU (Graphics Processing Unit) can improve the image processing capability of micro-computer system. This paper studies the parallelism of the different stages of decimation in time radix 2 FFT algorithm, designs ... More

Soliton Resolution for the Derivative Nonlinear Schrödinger EquationOct 10 2017Feb 17 2018We study the Derivative Nonlinear Schr\"odinger equation for generic initial data in a weighted Sobolev space that can support bright solitons (but exclude spectral singularities). Drawing on previous well-posedness results, we give a full description ... More

Global Well-posedness and soliton resolution for the Derivative Nonlinear Schrödinger equationJun 20 2017We study the Derivative Nonlinear Schr\"odinger equation for general initial conditions in weighted Sobolev spaces that can support bright solitons (but excluding spectral singularities). We prove global well-posedness and give a full description of the ... More

A Flexible Generative Framework for Graph-based Semi-supervised LearningMay 26 2019We consider a family of problems that are concerned about making predictions for the majority of unlabeled, graph-structured data samples based on a small proportion of labeled examples. Relational information among the data samples, often encoded in ... More

Global Well-Posesedness for the Derivative Nonlinear Schrodinger EquationOct 10 2017We study the Derivative Nonlinear Schr\"odinger (DNLS). equation for general initial conditions in weighted Sobolev spaces that can support bright solitons (but exclude spectral singularities corresponding to algebraic solitons). We show that the set ... More

Distributing points uniformly on the unit sphere under a mirror reflection symmetry constraintMar 15 2014Apr 15 2014Uniformly distributed point sets on the unit sphere with and without symmetry constraints have been found useful in many scientific and engineering applications. Here, a novel variant of the Thomson problem is proposed and formulated as an unconstrained ... More

Complete break-up of the helium atom by proton and antiproton impactJun 10 2009We present a fully {\it ab initio}, non-perturbative, time-dependent approach to describe single and double ionization of helium by proton and antiproton impact. A flexible and accurate finite-element discrete-variable-representation is applied to discretize ... More

Polaron, molecule and pairing in one-dimensional spin-1/2 Fermi gas with an attractive Delta-function interactionFeb 14 2012Using solutions of the discrete Bethe ansatz equations, we study in detail the quantum impurity problem of a spin-down fermion immersed into a fully ploarized spin-up Fermi sea with weak attraction. We prove that this impurity fermion in the one-dimensional ... More

Algebraic Bethe ansatz for the one-dimensional Hubbard model with open boundariesAug 03 1999The one-dimensional Hubbard model with open boundary conditions is exactly solved by means of algebraic Bethe ansatz. The eigenvalue of the transfer matrix, the energy spectrum as well as the Bethe ansatz equations are obtained.

Post model-fitting exploration via a "Next-Door" analysisJun 04 2018We propose a simple method for evaluating the model that has been chosen by an adaptive regression procedure, our main focus being the lasso. This procedure deletes each chosen predictor and refits the lasso to get a set of models that are "close" to ... More

Bounded orbits of certain diagonalizable flows on $SL_{n}(\mathbb{R})/SL_{n}(\mathbb{Z})$May 27 2016We prove that the set of points that have bounded orbits under certain diagonalizable flows is a hyperplane absolute winning subset of $SL_{n}(\mathbb{R})/SL_{n}(\mathbb{Z})$.

Improvement of a Theorem of Lorentz (1963) and its Generalization to the Multivariate CaseSep 27 2016Nov 29 2016In this short note we have proved an enhanced version of a theorem of Lorentz [1] and its generalization to the multivariate case which gives a non- uniform estimate of degree of approximation by a polynomial with positive coefficients. The performance ... More