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A Survey of Spline-based Volumetric Data Modeling Framework and Its ApplicationsAug 05 2013The rapid advances in 3D scanning and acquisition techniques have given rise to the explosive increase of volumetric digital models in recent years. This dissertation systematically trailblazes a novel volumetric modeling framework to represent 3D solids. ... More

A Spline-based Volumetric Data Modeling Framework and Its ApplicationsAug 05 2013In this dissertation, we concentrate on the challenging research issue of developing a spline-based modeling framework, which converts the conventional data (e.g., surface meshes) to tensor-product trivariate splines. This methodology can represent both ... More

Weighted Norm Inequalities for Parametric Littlewood-Paley OperatorsNov 28 2017In this paper, the author establishes the boundedness of parametric Littlewood-Paley operators from Musielak-Orlicz Hardy space to Musielak-Orlicz space, or to weak Musielak-Orlicz space at the critical index. Part of these results are new even for classical ... More

Parameterized Littlewood-Paley operators with variable kernels on Hardy spaces and weak Hardy spacesDec 13 2017In this paper, by using the atomic decomposition theory of Hardy space and weak Hardy space, we discuss the boundedness of parameterized Littlewood-Paley operator with variable kernel on these spaces.

Boundedness of parameterized Marcinkiewicz integrals with variable kernels on Hardy spaces and weak Hardy spacesNov 27 2017In this paper, by using the atomic decomposition theory of Hardy space and weak Hardy space, the author establishes the boundedness of parameterized Marcinkiewicz integral with variable kernel on these spaces, under the Dini condition or H\"{o}rmander ... More

3D Fully Convolutional Network for Vehicle Detection in Point CloudNov 24 2016Jan 16 20172D fully convolutional network has been recently successfully applied to object detection from images. In this paper, we extend the fully convolutional network based detection techniques to 3D and apply it to point cloud data. The proposed approach is ... More

3D model retrieval using global and local radial distancesJun 10 20133D model retrieval techniques can be classified as histogram-based, view-based and graph-based approaches. We propose a hybrid shape descriptor which combines the global and local radial distance features by utilizing the histogram-based and view-based ... More

The electron-ion streaming instabilities driven by drift velocities of the order of electron thermal velocity in a nonmagnetized plasmaMay 17 2013We examine the electron-ion streaming instabilities driven by drift velocities of the order of the electron thermal velocity in a nonmagnetized plasma by one-dimensional electrostatic particle-in-cell code which adopts an ion-to-electron mass ratio of ... More

Exploring the Function Space of Deep-Learning MachinesAug 04 2017Aug 09 2018The function space of deep-learning machines is investigated by studying growth in the entropy of functions of a given error with respect to a reference function, realized by a deep-learning machine. Using physics-inspired methods we study both sparsely ... More

Local times for spectrally negative Lévy processesMay 03 2017Jan 11 2019For spectrally negative L\'evy processes, adapting an approach from \cite{BoLi:sub1} we identify joint Laplace transforms involving local times evaluated at either the first passage times, or independent exponential times, or inverse local times. The ... More

On weighted occupation times for refracted spectrally negative Lévy processesMar 17 2017For refracted spectrally negative L\'evy processes, we identify expressions of several quantities related to Laplace transforms on their weighted occupation times until first exit times. Such quantities are expressed in terms of unique solutions to integral ... More

Chimera-like States in Structured Heterogeneous NetworksNov 02 2016Apr 19 2017Chimera-like states are manifested through the coexistence of synchronous and asynchronous dynamics and have been observed in various systems. To analyze the role of network topology in giving rise to chimera-like states we study a heterogeneous network ... More

Spectral analogues of Moon-Moser's theorem on Hamilton paths in bipartite graphsJan 26 2016Nov 17 2016In 1962, Erd\H{o}s proved a theorem on the existence of Hamilton cycles in graphs with given minimum degree and number of edges. Significantly strengthening in case of balanced bipartite graphs, Moon and Moser proved a corresponding theorem in 1963. In ... More

A New 3D Geometric Approach to Focus and Context Lens Effect SimulationAug 01 2013We present a novel methodology based on geometric approach to simulate magnification lens effects. Our aim is to promote new applications of powerful geometric modeling techniques in visual computing. Conventional image processing/visualization methods ... More

Pattern Recognition and Revealing using Parallel Coordinates PlotJun 08 2013Nov 03 2013Parallel coordinates plot (PCP) is an excellent tool for multivariate visualization and analysis, but it may fail to reveal inherent structures for datasets with a large number of items. In this paper, we propose a suite of novel clustering, dimension ... More

Exact bipartite Turán numbers of large even cyclesJan 18 2019Feb 13 2019Let the bipartite Tur\'an number $ex(m,n,H)$ of a graph $H$ be the maximum number of edges in an $H$-free bipartite graph with two parts of sizes $m$ and $n$, respectively. In this paper, we prove that $ex(m,n,C_{2t})=(t-1)n+m-t+1$ for any positive integers ... More

Curvaton Reheating in Non-oscillatory Inflationary ModelsDec 15 2002Jun 26 2003In non-oscillatory (NO) inflationary models, the reheating mechanism was usually based on gravitational particle production or the mechanism of instant preheating. In this paper we introduce the curvaton mechanism into NO models to reheat the universe ... More

Spectral radius and traceability of connected claw-free graphsJun 20 2014Jun 25 2015Let $G$ be a connected claw-free graph on $n$ vertices and $\overline{G}$ be its complement graph. Let $\mu(G)$ be the spectral radius of $G$. Denote by $N_{n-3,3}$ the graph consisting of $K_{n-3}$ and three disjoint pendent edges. In this note we prove ... More

On maximal regularity and semivariation of $α$-times resolvent familiesJul 26 2010Let $1< \alpha <2$ and $A$ be the generator of an $\alpha$-times resolvent family $\{S_\alpha(t)\}_{t \ge 0}$ on a Banach space $X$. It is shown that the fractional Cauchy problem ${\bf D}_t^\alpha u(t) = Au(t)+f(t)$, $t \in [0,r]$; $u(0), u'(0) \in D(A)$ ... More

Fluctuations of Omega-killed spectrally negative Lévy processesMar 25 2016Jun 24 2017In this paper we solve the exit problems for (reflected) spectrally negative L\'evy processes, which are exponentially killed with a killing intensity dependent on the present state of the process and analyze respective resolvents. All identities are ... More

Cesari-type Conditions for Semilinear Elliptic Equations with Leading Term Containing ControlsDec 05 2010An optimal control problem governed by semilinear elliptic partial differential equations is considered. The equation is in divergence form with the leading term containing controls. By studying the $G$-closure of the leading term, an existence result ... More

New Constraints on Anisotropic Rotation of CMB PolarizationMar 08 2013Jun 02 2013The coupling of a scalar field to electromagnetic field via the Chern-Simons term will rotate the polarization directions of the cosmic microwave background radiation. The rotation angle which relies on the distribution of the scalar field on the CMB ... More

Quantum-defect theory of resonant charge exchangeMay 30 2012We apply the quantum-defect theory for $-1/R^4$ potential to study the resonant charge exchange process. We show that by taking advantage of the partial-wave-insensitive nature of the formulation, resonant charge exchange of the type of $^1$S+$^2$S can ... More

The Ramsey numbers of paths versus wheels: a complete solutionDec 07 2013Let $G_1$ and $G_2$ be two given graphs. The Ramsey number $R(G_1,G_2)$ is the least integer $r$ such that for every graph $G$ on $r$ vertices, either $G$ contains a $G_1$ or $\overline{G}$ contains a $G_2$. We denote by $P_n$ the path on $n$ vertices ... More

Spectral analogues of Erdős' and Moon-Moser's theorems on Hamilton cyclesApr 14 2015Feb 27 2016In 1962, Erd\H{o}s gave a sufficient condition for Hamilton cycles in terms of the vertex number, edge number, and minimum degree of graphs which generalized Ore's theorem. One year later, Moon and Moser gave an analogous result for Hamilton cycles in ... More

On spectral radius of strongly connected digraphsMay 01 2013We determine the digraphs which achieve the second, the third and the fourth minimum spectral radii respectively among strongly connected digraphs of order $n\ge 4$, and thus we answer affirmatively the problem whether the unique digraph which achieves ... More

Complex Monge-Ampere equations and totally real submanifoldsOct 09 2009We study the Dirichlet problem for complex Monge-Ampere equations in Hermitian manifolds with general (non-pseudoconvex) boundary. Our main result extends the classical theorem of Caffarelli, Kohn, Nirenberg and Spruck in the flat case. We also consider ... More

Complex Monge-Ampere equations on Hermitian manifoldsJun 18 2009We study complex Monge-Ampere equations on Hermitian manifolds, extending classical existence results of Yau and Aubin in the Kahler case, and those of Caffarelli, Kohn, Nirenberg and Spruck for the Dirichlet problem in $C^n$. As an application we generalize ... More

Comparison principles for some fully nonlinear subelliptic equations on the Heisenberg groupNov 27 2018In this paper, we prove a form of the strong comparison principle for a class of fully nonlinear subelliptic operators of the form $\nabla^{2}_{H}\psi+L(\cdot,\psi,\nabla_{H}\psi)$ on the Heisenberg group, which include the CR invariant operators.

On path-quasar Ramsey numbersJan 15 2014Let $G_1$ and $G_2$ be two given graphs. The Ramsey number $R(G_1,G_2)$ is the least integer $r$ such that for every graph $G$ on $r$ vertices, either $G$ contains a $G_1$ or $\overline{G}$ contains a $G_2$. Parsons gave a recursive formula to determine ... More

Feedback Capacity over NetworksJan 11 2017Jan 10 2018In this paper, we investigate the fundamental limitations of feedback mechanism in dealing with uncertainties for network systems. The study of maximum capability of feedback control was pioneered in Xie and Guo (2000) for scalar systems with nonparametric ... More

Efficient Relative Pose Estimation for Cameras and Generalized Cameras in Case of Known Relative Rotation AngleJan 31 2019We propose two minimal solutions to the problem of relative pose estimation of (i) a calibrated camera from four points in two views and (ii) a calibrated generalized camera from five points in two views. In both cases, the relative rotation angle between ... More

On the F-expanding of Homoclinic classOct 23 2017We establish a closing property for thin trapped homoclinic classes. Taking advantage of this property, we proved that if the homoclinic class $H(p)$ admits a dominated splitting $T_{H(p)}M=E\oplus_{<}F$, where $E$ is thin trapped (see Definition \ref{Def:TP}) ... More

Proton-hydrogen collision at cold temperaturesOct 07 2014We study the proton-hydrogen collision in the energy range from 0 to 5 K where the hyperfine structure of the hydrogen atom is important. The proper multichannel treatment of the hyperfine structure is found to be crucial at cold temperatures compared ... More

Occupation times of intervals until last passage times for spectrally negative Levy processesMay 25 2016Sep 22 2016In this paper, we derive the joint Laplace transforms of occupation times until its last passage times as well as its positions. Motivated by Baurdoux [2], the last times before an independent exponential variable are studied. By applying dual arguments, ... More

Heavy subgraphs, stability and hamiltonicityJun 09 2015Jun 12 2016Let $G$ be a graph. Adopting the terminology of Broersma et al. and \v{C}ada, respectively, we say that $G$ is 2-heavy if every induced claw ($K_{1,3}$) of $G$ contains two end-vertices each one has degree at least $|V(G)|/2$; and $G$ is o-heavy if every ... More

Dynamic Fair Division Problem with General ValuationsFeb 14 2018Apr 18 2018In this paper, we focus on how to dynamically allocate a divisible resource fairly among n players who arrive and depart over time. The players may have general heterogeneous valuations over the resource. It is known that the exact envy-free and proportional ... More

Global Theory to Understand Toroidal Drift Waves in Steep GradientAug 20 2016Toroidal drift waves with unconventional mode structures and non-ground eigenstates, which differ from typical ballooning structure mode, are found to be important recently by large scale global gyrokinetic simulations and especially become dominant at ... More

Local polynomial regression on unknown manifoldsAug 07 2007We reveal the phenomenon that ``naive'' multivariate local polynomial regression can adapt to local smooth lower dimensional structure in the sense that it achieves the optimal convergence rate for nonparametric estimation of regression functions belonging ... More

Relative Entropy and Torsion CouplingJul 01 2016Nov 19 2016We evaluate the relative entropy on a ball region near the UV fixed point of a holographic conformal field theory deformed by a fermionic operator of nonzero vacuum expectation value. The positivity of the relative entropy considered here is implied by ... More

Direct detection of dark matter with resonant annihilationMar 28 2015In the scenario where the dark matter (DM) particles $\chi\bar\chi$ pair annihilate through a resonance particle $R$, the constraint from DM relic density makes the corresponding cross section for DM-nuclei elastic scattering extremely small, and can ... More

Chiral topological insulator of magnonsDec 22 2017May 15 2018We propose a magnon realization of 3D topological insulator in the AIII (chiral symmetry) topological class. The topological magnon gap opens due to the presence of Dzyaloshinskii-Moriya interactions. The existence of the topological invariant is established ... More

Efficient Approximations for the Online Dispersion ProblemApr 22 2017The dispersion problem has been widely studied in computational geometry and facility location, and is closely related to the packing problem. The goal is to locate n points (e.g., facilities or persons) in a k-dimensional polytope, so that they are far ... More

Information Elicitation for Bayesian AuctionsFeb 05 2017Jun 26 2018In this paper we design information elicitation mechanisms for Bayesian auctions. While in Bayesian mechanism design the distributions of the players' private types are often assumed to be common knowledge, information elicitation considers the situation ... More

All-optical controlled phase gate in quantum dot moleculesFeb 26 2014May 19 2015We propose a two-qubit optically controlled phase gate in quantum dot molecules via adiabatic passage and hole tunneling. Our proposal combines the merits of the current generation of vertically stacked self-assembled InAs quantum dots and adiabatic passage. ... More

An anisotropic-Alfvenic-turbulence-based solar wind model with proton temperature anisotropyNov 30 2012How the solar wind is accelerated to its supersonic speed is intimately related to how it is heated. Mechanisms based on ion-cyclotron resonance have been successful in explaining a large number of observations, those concerning the significant ion temperature ... More

Simulating the Lipkin-Meshkov-Glick model in a hybrid quantum systemDec 18 2017We propose an efficient scheme for simulating the Lipkin-Meshkov-Glick (LMG) model with nitrogen-vacancy (NV) center ensembles in diamond magnetically coupled to superconducting coplanar waveguide cavities. With the assistance of external microwave driving ... More

Parametrization of Neutrino Mixing Matrix in Tri-bimaximal Mixing PatternDec 09 2004Dec 29 2004The neutrino mixing matrix is expanded in powers of a small parameter $\lambda$ in tri-bimaximal mixing pattern. We also present some applications of this parametrization, such as to the expression of the Jarlskog parameter $J$. Comparing with other parametrizations ... More

Estimate of neutrino masses from Koide's relationMay 05 2005We apply Koide's mass relation of charged leptons to neutrinos and quarks, with both the normal and inverted mass schemes of neutrinos discussed. We introduce the parameters $k_{\nu}$, $k_u$ and $k_d$ to describe the deviations of neutrinos and quarks ... More

Orbital and Mass Ratio Evolution of Protobinaries Driven by Magnetic BrakingOct 08 2012Nov 26 2012The majority of stars reside in multiple systems, especially binaries. The formation and early evolution of binaries is a longstanding problem in star formation that is not fully understood. In particular, how the magnetic field observed in star-forming ... More

Quantum Fluctuations of Vortex-Lattice State in Ultrafast Rotating Bose GasJan 14 2011Quantum fluctuations in an ultrafast rotating Bose gas at zero temperature are investigated. We calculate the condensate density perturbatively to show that no condensate is present in the thermodynamic limit. The excitation from Gaussian fluctuations ... More

A Much better replacement of the Michaelis-Menten equation and its applicationMay 14 2015Michaelis-Menten equation is a basic equation of enzyme kinetics and gives an acceptable approximation of real chemical reaction processes. Analyzing the derivation of this equation yields the fact that its good performance of approximating real reaction ... More

Kinetic plasma turbulence in the fast solar wind measured by ClusterMar 20 2013The k-filtering technique and wave polarization analysis are applied to Cluster magnetic field data to study plasma turbulence at the scale of the ion gyroradius in the fast solar wind. Waves are found propagating in directions nearly perpendicular to ... More

Multichannel quantum-defect theory for ion-atom interactionsFeb 15 2014We present a quantum theory of ion-atom interaction that is applicable at energies comparable to or smaller than the atomic hyperfine splitting and takes proper account of the effects of identical nuclei. The theory reveals the subtlety and the complexity ... More

On fractional powers of generators of fractional resolvent familiesMay 11 2010Jul 26 2010We show that if $-A$ generates a bounded $\alpha$-times resolvent family for some $\alpha \in (0,2]$, then $-A^{\beta}$ generates an analytic $\gamma$-times resolvent family for $\beta \in(0,\frac{2\pi-\pi\gamma}{2\pi-\pi\alpha})$ and $\gamma \in (0,2)$. ... More

Preparing multiparticle entangled states of NV centers via adiabatic ground-state transitionsSep 25 2018We propose an efficient method to generate multiparticle entangled states of NV centers in a spin mechanical system, where the spins interact through a collective coupling of the Lipkin-Meshkov-Glick (LMG) type. We show that, through adiabatic transitions ... More

Quantum microwave-optical interface with nitrogen-vacancy centers in diamondSep 14 2017We propose an efficient scheme for a coherent quantum interface between microwave and optical photons using nitrogen-vacancy (NV) centers in diamond. In this setup, an NV center ensemble is simultaneously coupled to an optical and a microwave cavity. ... More

Projection Based Weight Normalization for Deep Neural NetworksOct 06 2017Optimizing deep neural networks (DNNs) often suffers from the ill-conditioned problem. We observe that the scaling-based weight space symmetry property in rectified nonlinear network will cause this negative effect. Therefore, we propose to constrain ... More

Robust continuous-variable entanglement of microwave photons with cavity electromechanicsJan 24 2013Sep 19 2013We investigate the controllable generation of robust photon entanglement with a circuit cavity electromechanical system, consisting of two superconducting coplanar waveguide cavities (CPWC's) capacitively coupled by a nanoscale mechanical resonator (MR). ... More

Delineating Effects of Nuclear Symmetry Energy on the Radii and Tidal Polarizabilities of Neutron StarsAug 23 2018Sep 24 2018What can we learn about the density dependence of nuclear symmetry energy $E_{\rm{sym}}(\rho )$ from precise measurements of the radius ($R_{\rm{1.4}}$) and/or tidal polarizability ($\Lambda_{1.4}$) of canonical neutron stars (NSs) with a mass of 1.4 ... More

Superlinear Convergence of Randomized Block Lanczos AlgorithmAug 20 2018The low rank approximation of matrices is a crucial component in many data mining applications today. A competitive algorithm for this class of problems is the randomized block Lanczos algorithm - an amalgamation of the traditional block Lanczos algorithm ... More

How long does the surplus stay close to its historical high?Jun 08 2018In this paper we find the Laplace transforms of the weighted occupation times for a spectrally negative L\'evy surplus process to spend below its running maximum up to the first exit times. The results are expressed in terms of generalized scale functions. ... More

Characterizing Real-Valued Multivariate Complex Polynomials and Their Symmetric Tensor RepresentationsJan 06 2015Feb 21 2016In this paper we study multivariate polynomial functions in complex variables and the corresponding associated symmetric tensor representations. The focus is on finding conditions under which such complex polynomials/tensors always take real values. We ... More

Quantifying the influence of scientists and their publications: Distinguish prestige from popularitySep 06 2011Oct 13 2011The number of citations is a widely used metric to evaluate the scientific credit of papers, scientists and journals. However, it does happen that a paper with fewer citations from prestigious scientists is of higher influence than papers with more citations. ... More

Context-aware Data Aggregation with Localized Information PrivacyApr 06 2018Jul 31 2018In this paper, localized information privacy (LIP) is proposed, as a new privacy definition, which allows statistical aggregation while protecting users' privacy without relying on a trusted third party. The notion of context-awareness is incorporated ... More

Exploring Vainshtein mechanism on adaptively refined meshesFeb 28 2013May 03 2013There has been a lot of research interest in modified gravity theories which utilise the Vainshtein mechanism to recover standard general relativity in regions with high matter density, such as the Dvali-Gabadadze-Porrati and Galileon models. The strong ... More

Monocular Depth Estimation with Hierarchical Fusion of Dilated CNNs and Soft-Weighted-Sum InferenceAug 02 2017Monocular depth estimation is a challenging task in complex compositions depicting multiple objects of diverse scales. Albeit the recent great progress thanks to the deep convolutional neural networks (CNNs), the state-of-the-art monocular depth estimation ... More

Better Approximations of High Dimensional Smooth Functions by Deep Neural Networks with Rectified Power UnitsMar 14 2019Deep neural networks with rectified linear units (ReLU) get very popular recently due to its universal representation power and successful applications. In this paper, we show that deep networks with rectified power units (RePU) can give better approximations ... More

The Power of Waiting for More than One Response in Minimizing the Age-of-InformationApr 17 2017Aug 18 2017The Age-of-Information (AoI) has recently been proposed as an important metric for investigating the timeliness performance in information-update systems. Prior studies on AoI optimization often consider a Push model, which is concerned about when and ... More

New probe of departures from general relativity using Minkowski functionalsApr 07 2017May 14 2017The morphological properties of large scale structure of the Universe can be fully described by four Minkowski functionals (MFs), which provide important complementary information to other statistical observables such as the widely used 2-point statistics ... More

MG-WFBP: Efficient Data Communication for Distributed Synchronous SGD AlgorithmsNov 27 2018Dec 01 2018Distributed synchronous stochastic gradient descent has been widely used to train deep neural networks on computer clusters. With the increase of computational power, network communications have become one limiting factor on system scalability. In this ... More

A Poincaré Inequality on Loop SpacesMay 19 2009We investigate properties of measures in infinite dimensional spaces in terms of Poincar\'e inequalities. A Poincar\'e inequality states that the $L^2$ variance of an admissible function is controlled by the homogeneous $H^1$ norm. In the case of Loop ... More

A Concrete Estimate For The Weak Poincare Inequality On Loop SpaceOct 26 2009The aim of the paper is to study the pinned Wiener measure on the loop space over a simply connected compact Riemannian manifold together with the Hilbert space structure induced by Mallianvin calculus and the induced Ornstein- Uhlenbeck operator. We ... More

Parallel-cascade-based mechanisms for heating solar coronal loops: test against observationsJun 02 2014Jun 04 2014The heating of solar coronal loops is at the center of the problem of coronal heating. Given that the origin of the fast solar wind has been tracked down to atmospheric layers with transition region or even chromospheric temperatures, it is worthy attempting ... More

Engineering two-mode entangled states between two superconducting resonators by dissipationMay 22 2012We present an experimental feasible scheme to synthesize two-mode continuous-variable entangled states of two superconducting resonators that are interconnected by two gap-tunable superconducting qubits. We show that, with each artificial atom suitably ... More

Engineering squeezed phonon reservoir with a bichromatic driving of a quantum dotAug 31 2016We demonstrate how an acoustic phonon bath when coupled to a quantum dot with the help of a bichromatic laser field may effectively form a quantum squeezed reservoir. This approach allows to achieve an arbitrary degree of squeezing of the effective reservoir ... More

Curse-of-dimensionality revisited: Collapse of the particle filter in very large scale systemsMay 20 2008It has been widely realized that Monte Carlo methods (approximation via a sample ensemble) may fail in large scale systems. This work offers some theoretical insight into this phenomenon in the context of the particle filter. We demonstrate that the maximum ... More

Rare Semileptonic Decays of Heavy Mesons with Flavor SU(3) SymmetrySep 07 2007Dec 01 2008In this paper, we calculate the decay rates of $D^+ \to D^0 e^+ \nu$, $D^+_S \to D^0 e^+ \nu$, $B^0_S \to B^+ e^- \bar{\nu}$, $D^+_S \to D^+ e^- e^+$ and $B^0_S \to B^0 e^-e^+$ semileptonic decay processes, in which only the light quarks decay, while ... More

Refined Holographic Entanglement Entropy for the AdS Solitons and AdS black HolesMar 28 2012Apr 04 2013We consider the refinement of the holographic entanglement entropy for the holographic dual theories to the AdS solitons and AdS black holes, including the corrected ones by the Gauss-Bonnet term. The refinement is obtained by extracting the UV-independent ... More

A New Approach of Fermion Field on LatticeNov 12 1997Nov 18 1997A new approach to formulate the fermion field on lattice is introduced by proposing a new Dirac operator on lattice.This approach can eliminate the Fermion doubling problem, preserve the chiral symmetry and get the same dispersion relation for both Fermion ... More

Exploring Speech Enhancement with Generative Adversarial Networks for Robust Speech RecognitionNov 15 2017Oct 31 2018We investigate the effectiveness of generative adversarial networks (GANs) for speech enhancement, in the context of improving noise robustness of automatic speech recognition (ASR) systems. Prior work demonstrates that GANs can effectively suppress additive ... More

Kalman-filter-based track fitting in non-uniform magnetic field with segment-wise helical track modelMay 31 2013Oct 21 2013In the future International Linear Collider (ILC) experiment, high performance tracking is essential to its physics program including precision Higgs studies. One of major challenges for a detector such as the proposed International Large Detector (ILD) ... More

The period ratio for standing kink and sausage modes in solar structures with siphon flow. I. magnetized slabsMar 07 2013In the applications of solar magneto-seismology(SMS), employing the ratio of the period of the fundamental mode to twice the one of its first overtone, $P_1/2P_2$, plays an important role. We examine how field-aligned flows affect the dispersion properties, ... More

The COM-negative binomial distribution: modeling overdispersion and ultrahigh zero-inflated count dataApr 15 2017Jul 10 2018In this paper, we focus on the COM-type negative binomial distribution with three parameters, which belongs to COM-type $(a,b,0)$ class distributions and family of equilibrium distributions of arbitrary birth-death process. Besides, we show abundant distributional ... More

Optimizing Synchronization Stability of the Kuramoto Model in Complex Networks and Power GridsJul 15 2016Jan 14 2017Maintaining the stability of synchronization state is crucial for the functioning of many natural and artificial systems. In this study, we develop methods to optimize the synchronization stability of the Kuramoto model by minimizing the dominant Lyapunov ... More

Learning And-Or Models to Represent Context and Occlusion for Car Detection and Viewpoint EstimationJan 29 2015Sep 27 2015This paper presents a method for learning And-Or models to represent context and occlusion for car detection and viewpoint estimation. The learned And-Or model represents car-to-car context and occlusion configurations at three levels: (i) spatially-aligned ... More

Solution to a problem on hamiltonicity of graphs under Ore- and Fan-type heavy subgraph conditionsSep 11 2014Sep 02 2015A graph $G$ is called \emph{claw-o-heavy} if every induced claw ($K_{1,3}$) of $G$ has two end-vertices with degree sum at least $|V(G)|$ in $G$. For a given graph $R$, $G$ is called \emph{$R$-f-heavy} if for every induced subgraph $H$ of $G$ isomorphic ... More

A $\hbar$-deformation of the $W_{N}$ algebra and its vertex operatorsJan 21 1997In this paper,we derive a $\hbar$-deformation of the $W_{N}$ algebra and its quantum Miura tranformation. The vertex operators for this $\hbar$-deformed $W_{N}$ algebra and its commutation relations are also obtained.

Fast and Accurate Computation of Time-Domain Acoustic Scattering Problems with Exact Nonreflecting Boundary ConditionsSep 26 2011This paper is concerned with fast and accurate computation of exterior wave equations truncated via exact circular or spherical nonreflecting boundary conditions (NRBCs, which are known to be nonlocal in both time and space). We first derive analytic ... More

Extremal problems on the Hamiltonicity of claw-free graphsApr 16 2015Jun 15 2018In 1962, Erd\H{o}s proved that if a graph $G$ with $n$ vertices satisfies $$ e(G)>\max\left\{\binom{n-k}{2}+k^2,\binom{\lceil(n+1)/2\rceil}{2}+\left\lfloor \frac{n-1}{2}\right\rfloor^2\right\}, $$ where the minimum degree $\delta(G)\geq k$ and $1\leq ... More

Improved Eavesdropping Detection Strategy in Quantum Direct Communication Protocol Based on Four-particle GHZ StateOct 25 2011In order to improve the eavesdropping detection efficiency in two-step quantum direct communication protocol, an improved eavesdropping detection strategy using four-particle GHZ state is proposed, in which four-particle GHZ state is used to detect eavesdroppers. ... More

Finite dimensional global attractor of the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditionsNov 07 2016Mar 16 2017In this paper, we mainly consider the long-time behavior of solutions for the Cahn-Hilliard-Navier-Stokes system with dynamic boundary conditions and two polynomial growth nonlinearities of arbitrary order. We prove the existence of a finite dimensional ... More

Vehicle Detection from 3D Lidar Using Fully Convolutional NetworkAug 29 2016Convolutional network techniques have recently achieved great success in vision based detection tasks. This paper introduces the recent development of our research on transplanting the fully convolutional network technique to the detection tasks on 3D ... More

Degree conditions restricted to induced paths for hamiltonicity of claw-heavy graphsJun 18 2015Broersma and Veldman proved that every 2-connected claw-free and $P_6$-free graph is hamiltonian. Chen et al. extended this result by proving every 2-connected claw-heavy and $P_6$-free graph is hamiltonian. On the other hand, Li et al. constructed a ... More

Isotropic Negative Thermal Expansion MetamaterialsSep 24 2015Negative thermal expansion materials are important and desirable in science and engineering applications. However, natural materials with isotropic negative thermal expansion are rare and usually unsatisfied in performance. Here, we propose a novel method ... More

Some Characterizations and Properties of COM-Poisson Random VariablesSep 25 2018This paper introduces some new characterizations of COM-Poisson random variables. First, it extends Moran-Chatterji characterization and generalizes Rao-Rubin characterization of Poisson distribution to COM-Poisson distribution. Then, it defines the COM-type ... More

Data Dropout: Optimizing Training Data for Convolutional Neural NetworksSep 01 2018Sep 07 2018Deep learning models learn to fit training data while they are highly expected to generalize well to testing data. Most works aim at finding such models by creatively designing architectures and fine-tuning parameters. To adapt to particular tasks, hand-crafted ... More

Extracting Nuclear Symmetry Energies at High Densities from Observations of Neutron Stars and Gravitational WavesJul 20 2018Jan 23 2019By numerically inverting the Tolman-Oppenheimer-Volkov (TOV) equation using an explicitly isospin-dependent parametric Equation of State (EOS) of dense neutron-rich nucleonic matter, a restricted EOS parameter space is established using observational ... More

The witness of sudden change of geometric quantum correlationSep 04 2013In this paper, we give a sufficient and necessary condition (witness) for the sudden change of geometric quantum discord by considering mathematical definition of the discontinuity of a function. Based on the witness, we can find out various sudden changes ... More

The nondynamical r-matrix structure for the elliptic $A_{n-1}$ Calogero-Moser modelNov 14 1997In this paper, we construct a new Lax operator for the elliptic $A_{n-1}$ Calogero-Moser model with general $n(2\leq n$) from the classical dynamical twisting,in which the corresponding r-matrix is purely numeric (nondynamical one). The nondynamical r-matrix ... More