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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

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

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

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

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

The harmonic heat flow of almost complex structuresJul 29 2019We define and study the harmonic heat flow for almost complex structures which are compatible with a Riemannian structure $(M, g)$. This is a tensor-valued version of harmonic map heat flow. We prove that if the initial almost complex structure $J$ has ... 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

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

Dynamics of Taxi-like Logistics Systems: Theory and Microscopic SimulationsJul 10 2018In this paper we study the dynamics of a class of bi-agent logistics systems consisting of two types of agents interacting on an arbitrary complex network. By approximating the system with simple microscopic models and solving them analytically, we reveal ... 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

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

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

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

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

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

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

Strong Comparison Principles for Some Nonlinear Degenerate Elliptic EquationsApr 03 2018In this paper, we obtain the strong comparison principle and Hopf Lemma for locally Lipschitz viscosity solutions to a class of nonlinear degenerate elliptic operators of the form $\nabla^2 \psi + L(x,\nabla \psi)$, including the conformal hessian operator. ... 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

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

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

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

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

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

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

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

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

A New Parametrization of the Neutrino Mixing MatrixAug 22 2004Dec 01 2004The neutrino mixing matrix is expanded in powers of a small parameter $\lambda$, which approximately equals to 0.1. The meaning of every order of the expansion is discussed respectively, and the range of $\lambda$ is carefully calculated. We also present ... More

Relations between quark and lepton mixing angles and matricesApr 18 2005May 12 2005We discuss the relations between the mixing angles and the mixing matrices of quarks and leptons. With Raidal's numerical relations, we parametrize the lepton mixing (PMNS) matrix with the parameters of the quark mixing (CKM) matrix, and calculate the ... 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

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

Formation of ultra-compact X-ray binaries through circum-binary disk-driven mass transferMar 26 2009The formation of ultra-compact X-ray binaries (UCXBs) has not been well understood. Previous works show that ultra-short orbital periods ($<1$ hr) may be reached through mass transfer driven by magnetic braking in normal low/intermediate-mass X-ray binaries ... More

The bifurcation periods in low-mass X-ray binaries: the effect of magnetic braking and mass lossOct 11 2008Oct 15 2008The bifurcation period in low-mass X-ray binaries is the initial orbital pe- riod which separates the formation of converging systems (which evolve with decreasing orbital periods until the donor becomes degenerate) from the diverging systems (which evolve ... More

Probing the time variation of the effective Newton's constant with optimal redshift weightsDec 26 2018May 16 2019We propose a new method for probing the time variation of the effective Newton's constant $G_{\rm eff}$, based on the optimal redshift weighting scheme, and demonstrate the efficacy using the DESI galaxy spectroscopic survey. We find that with the optimal ... More

Energy scale independence of Koide's relation for quark and lepton massesJan 05 2006Jan 15 2006Koide's mass relation of charged leptons has been extended to quarks and neutrinos, and we prove here that this relation is independent of energy scale in a huge energy range from $1 {GeV}$ to $2\times10^{16} {GeV}$. By using the parameters $k_u$, $k_d$ ... More

Unified Parametrization of Quark and Lepton Mixing MatricesJan 24 2005May 03 2005We present a unified parametrization of quark and lepton mixing matrices. By using some simple relations between the mixing angles of quarks and leptons, i.e., the quark-lepton complementarity, we parametrize the lepton mixing matrix with the Wolfenstein ... More

Necessary and sufficient conditions of freezing phenomena of quantum discord under phase dampingMar 03 2012Jun 27 2012We investigate the freezing phenomenon of quantum discord occurring in phase damping noise processes. By relating the expression of the time variation of the discord to the convex function of relative entropy, we obtain the necessary and sufficient conditions ... 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

Baryon spectrum in a finite-temperature AdS/QCD modelDec 12 2013Jan 03 2014We propose a model for baryons at finite temperature using AdS/QCD correspondence. In this model, we modify the AdS spacetime into the AdS-Schwarzchild spacetime and consider a couple of bulk spinors in this background. Solving this model, we get an eigenvalue ... 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

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

Approximately Maximizing the Broker's Profit in a Two-sided MarketMay 22 2019We study how to maximize the broker's (expected) profit in a two-sided market, where she buys items from a set of sellers and resells them to a set of buyers. Each seller has a single item to sell and holds a private value on her item, and each buyer ... 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

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

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

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

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

Interfacing a topological qubit with a spin qubit in a hybrid quantum systemMar 31 2019We present and analyze a hybrid quantum system that interfaces a Majorana-hosted semiconductor nanowire with a single nitrogen-vacancy (NV) center via a magnetized torsional cantilever. We show that, the torsional mode of the mechanical resonator can ... 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

Charged Lovelock black holes in the presence of dark fluid with a nonlinear equation of stateMay 20 2019We consider a model that charged static spherically-symmetric black hole is surrounded by dark fluid with nonlinear equation of state $p_d=-B/\rho_d$. We find that the energy density of the dark fluid can be characterized by two parameters. The derivation ... 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

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

Topological supersolids with tunable chern numbers of a dipolar Fermi gas in a three-dimensional anisotropic optical latticeApr 19 2019Supersolids are among the most desirable unconventional many-body quantum states, which are linked to the fundamental issue of the coexistence of crystalline long-range order and off-diagonal long-range order (superfluidity). The recent experimental breakthrough ... More

Unitarity boomerangs of quark and lepton mixing matricesMar 30 2010Jun 04 2010The most popular way to present mixing matrices of quarks (CKM) and leptons (PMNS) is the parametrization with three mixing angles and one CP-violating phase. There are two major options in this kind of parametrizations, one is the original Kobayashi-Maskawa ... More

Gedanken Experiments to Destroy a BTZ Black HoleFeb 03 2019We consider gedanken experiments to destroy an extremal or near-extremal BTZ black hole by throwing matter into the horizon. These black holes are vacuum solutions to (2+1)-dimensional gravity theories, and are asymptotically $\mathrm{AdS}_3$. Provided ... More

Long-lived quantum coherence of two-level spontaneous emission models within structured environmentsFeb 26 2013Aug 26 2013We investigate the long-lived quantum coherence of two-level spontaneous emission models within structured environments. The population of the system under the asymptotic non-Markovian dynamics is linked to the spectral density of the reservoir through ... 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

Generating 3D Adversarial Point CloudsSep 19 2018Jul 12 2019Deep neural networks are known to be vulnerable to adversarial examples which are carefully crafted instances to cause the models to make wrong predictions. While adversarial examples for 2D images and CNNs have been extensively studied, less attention ... More

Weighted Maxmin Fair Share Allocation of Indivisible ChoresJun 18 2019We initiate the study of indivisible chore allocation for agents with asymmetric shares. The fairness concept we focus on is the weighted natural generalization of maxmin share: WMMS fairness and OWMMS fairness. We first highlight the fact that commonly ... 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

Joint Cluster Unary Loss for Efficient Cross-Modal HashingFeb 02 2019With the rapid growth of various types of multimodal data, cross-modal deep hashing has received broad attention for solving cross-modal retrieval problems efficiently. Most cross-modal hashing methods follow the traditional supervised hashing framework ... 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

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

Reciprocity in Social Networks with Capacity ConstraintsDec 14 2014Jun 18 2015Directed links -- representing asymmetric social ties or interactions (e.g., "follower-followee") -- arise naturally in many social networks and other complex networks, giving rise to directed graphs (or digraphs) as basic topological models for these ... More

Investigation of the Puzzling Abundance Pattern in the Stars of the Fornax Dwarf Spheroidal GalaxySep 06 2013Many works have found unusual characteristics of elemental abundances in nearby dwarf galaxies. This implies that there is a key factor of galactic evolution that is different from that of the Milky Way (MW). The chemical abundances of the stars in the ... More

Adaptive Wing Loss for Robust Face Alignment via Heatmap RegressionApr 16 2019Heatmap regression has became one of the mainstream approaches to localize facial landmarks. As Convolutional Neural Network (CNN) and Recurrent Neural Network (RNN) are becoming popular in solving computer vision tasks, extensive research has been done ... 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

D^0-D^0bar mixing in Υ(1S) \to D^0 D^0bar decay at Super-BOct 06 2006Nov 13 2006$\Dz-\Dzb$ mixing and significant CP violation in the charm system may indicate the signature of new physics. In this study, we suggest that the coherent $\DzDzb$ events from the decay of $\Upsilon(1S) \to \Dz \Dzb$ can be used to measure both mixing ... More

Exit problems for general draw-down times of spectrally negative Lévy processesFeb 23 2017Jul 16 2019For spectrally negative L\'evy processes, we prove several fluctuation results involving a general draw-down time, which is a downward exit time from a dynamic level that depends on the running maximum of the process. In particular, we find expressions ... More

Dbrane Near NS5-branes: with Electromagnetic FieldDec 02 2004Dec 16 2004We study the Dp-brane dynamics near NS5-branes with constant electromagnetic field. In the framework of effective Dirac-Born-Infeld action, we investigate the effect of the electromagnetic field on the Dp-brane dynamics. The radial motion of the Dp-brane ... 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

Consistent Lorentz violation features from near-TeV IceCube neutrinosJun 18 2019Jun 23 2019A recent proposal to associate 60~TeV to 2~PeV IceCube neutrino events with gamma-ray bursts~(GRBs) indicates the Lorentz violation of cosmic neutrinos and leads further to the $CPT$ symmetry violation between neutrinos and antineutrinos. Here we find ... More

Calculation of SPH and VSH ExpansionsSep 15 2017We present in this paper a spectrally accurate numerical method for computing the spherical/vector spherical harmonic expansion of a function/vector field with given (elemental) nodal values on a spherical surface. Built upon suitable analytic formulas ... More

Engineering a squeezed phonon reservoir with a bichromatic driving of a quantum dotAug 31 2016Oct 04 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

Efficient Navigation of Active Particles in an Unseen Environment via Deep Reinforcement LearningJun 26 2019Equipping active particles with intelligence such that they can efficiently navigate in an unknown complex environment is essential for emerging applications like precision surgery and targeted drug delivery. Here we develop a deep reinforcement learning ... 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

Consistent Lorentz violation features from near-TeV IceCube neutrinosJun 18 2019A recent proposal to associate 60~TeV to 2~PeV IceCube neutrino events with gamma-ray bursts~(GRBs) indicates the Lorentz violation of cosmic neutrinos and leads further to the $CPT$ symmetry violation between neutrinos and antineutrinos. Here we find ... More

Modified dispersion relations and black hole physicsDec 14 2005Apr 20 2006A modified formulation of energy-momentum relation is proposed in the context of doubly special relativity. We investigate its impact on black hole physics. It turns out that such modification will give corrections to both the temperature and the entropy ... More

Unified parametrization of quark and lepton mixing matrices in tri-bimaximal patternJun 04 2008Parametrization of the quark and lepton mixing matrices is the first attempt to understand the mixing of fermions. In this work, we parameterize the quark and lepton matrices with the help of quark-lepton complementarity (QLC) in a tri-bimaximal pattern ... More

TEXIVE: Detecting Drivers Using Personal Smart Phones by Leveraging Inertial SensorsJul 06 2013In this work, we address a fundamental and critical task of detecting the behavior of driving and texting using smartphones carried by users. We propose, design, and implement TEXIVE that leverages various sensors integrated in the smartphone and realizes ... 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

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

Quantum probabilistic teleportation via entangled coherent statesDec 11 2003We study the entanglement of entangled coherent states in vacuum environment by employing the entanglement of formation and propose a scheme to probabilistically teleport a coherent superposition state via entangled coherent states, in which the amount ... More

Pairwise Teacher-Student Network for Semi-Supervised HashingFeb 02 2019Hashing method maps similar high-dimensional data to binary hashcodes with smaller hamming distance, and it has received broad attention due to its low storage cost and fast retrieval speed. Pairwise similarity is easily obtained and widely used for retrieval, ... 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

Semantic Cluster Unary Loss for Efficient Deep HashingMay 15 2018Feb 02 2019Hashing method maps similar data to binary hashcodes with smaller hamming distance, which has received a broad attention due to its low storage cost and fast retrieval speed. With the rapid development of deep learning, deep hashing methods have achieved ... More

Efficient Navigation of Colloidal Robots in an Unknown Environment via Deep Reinforcement LearningJun 26 2019Jul 31 2019Equipping active colloidal robots with intelligence such that they can efficiently navigate in unknown complex environments could dramatically impact their use in emerging applications like precision surgery and targeted drug delivery. Here we develop ... 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

Computing Committor Functions for the Study of Rare Events Using Deep LearningJun 14 2019The committor function is a central object of study in understanding transitions between metastable states in complex systems. However, computing the committor function for realistic systems at low temperatures is a challenging task, due to the curse ... More

Simultaneous Manipulation of Electric and Thermal Fields via Combination of Passive and Active SchemesMar 23 2015May 14 2019Increasing attention has been focused on the invisibility cloak due to its novel concept for manipulation of physical field. However, it is usually realized by single scheme (namely passive or active scheme) and limited in a single field. Here, we proposed ... More