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2-Entity RANSAC for robust visual localization in changing environmentMar 10 2019Visual localization has attracted considerable attention due to its low-cost and stable sensor, which is desired in many applications, such as autonomous driving, inspection robots and unmanned aerial vehicles. However, current visual localization methods ... More

Transition rates and radiative lifetimes of Ca IFeb 12 2017Feb 24 2017We tabulate spontaneous emission rates for all possible 811 electric-dipole-allowed transitions between the 75 lowest-energy states of Ca I. These involve the $4sns$ ($n=4-8$), $4snp$ ($n=4-7$), $4snd$ ($n=3-6$), $4snf$ ($n=4-6$), $4p^2$, and $3d4p$ electronic ... More

Spatiotemporal Decoupling Based LiDAR-Camera Calibration under Arbitrary ConfigurationsMar 14 2019LiDAR-camera calibration is a precondition for many heterogeneous systems that fuse data from LiDAR and camera. However, the constraint from the common field of view and the requirement for strict time synchronization make the calibration a challenging ... More

LiDAR-Camera Calibration under Arbitrary Configurations: Observability and MethodsMar 14 2019May 14 2019LiDAR-camera calibration is a precondition for many heterogeneous systems that fuse data from LiDAR and camera. However, the constraint from common field of view and the requirement for strict time synchronization make the calibration a challenging problem. ... More

The Mass and Momentum Outflow Rates of Photoionized Galactic OutflowsFeb 23 2017May 09 2017Galactic outflows are believed to play an important role in regulating star formation in galaxies, but estimates of the outflowing mass and momentum have historically been based on uncertain assumptions. Here, we measure the mass, momentum, and energy ... More

Trading VIX Futures under Mean Reversion with Regime SwitchingMay 25 2016Jun 14 2016This paper studies the optimal VIX futures trading problems under a regime-switching model. We consider the VIX as mean reversion dynamics with dependence on the regime that switches among a finite number of states. For the trading strategies, we analyze ... More

Fast Object Classification in Single-pixel ImagingMay 19 2018In single-pixel imaging (SPI), the target object is illuminated with varying patterns sequentially and an intensity sequence is recorded by a single-pixel detector without spatial resolution. A high quality object image can only be computationally reconstructed ... More

Second order estimates for Hessian equations of parabolic type on Riemannian manifoldsFeb 02 2015In this paper, we establish the second order estimates of solutions to the first initial-boundary value problem for general Hessian type fully nonlinear parabolic equations on Riemannian manifolds. The techniques used in this article can work for a wide ... More

Injective objects in the category of finitely presented representations of an interval finite quiverNov 26 2018We characterize the indecomposable injective objects in the category of finitely presented representations of an interval finite quiver.

The generalized Auslander-Reiten duality on an exact categorySep 25 2016Jul 11 2018We introduce a notion of generalized Auslander-Reiten duality on a Hom-finite Krull-Schmidt exact category $\mathcal{C}$. This duality induces the generalized Auslander-Reiten translation functors $\tau$ and $\tau^-$. They are mutually quasi-inverse equivalences ... More

The generalized Auslander-Reiten duality on an exact categorySep 25 2016We introduce a notion of generalized Auslander-Reiten duality on a Hom-finite Krull-Schmidt exact category $\mathcal{C}$. This duality induces the generalized translation functors $\tau$ and $\tau^-$. They are mutually quasi-inverse equivalences between ... More

Projective objects in the category of pointwise finite dimensional representations of an interval finite quiverApr 12 2018Feb 25 2019For an interval finite quiver $Q$, we introduce a class of flat representations. We classify the indecomposable projective objects in the category $\mathrm{rep}(Q)$ of locally finite dimensional representations. We show that an object in $\mathrm{rep}(Q)$ ... More

The generalized Auslander-Reiten duality on an exact categorySep 25 2016Oct 05 2016We introduce a notion of generalized Auslander-Reiten duality on a Hom-finite Krull-Schmidt exact category $\mathcal{C}$. This duality induces the generalized Auslander-Reiten translation functors $\tau$ and $\tau^-$. They are mutually quasi-inverse equivalences ... More

Decompositions of locally finite endo-length modules over a skeletally small categoryJul 16 2018Given a skeletally small category $\mathcal{C}$, we show that any locally finite endo-length $\mathcal{C}$-module is the direct sum of indecomposable $\mathcal{C}$-modules, whose endomorphism algebra is local.

Auslander's defect formula and a commutative triangle in an exact categoryJul 06 2017We prove the Auslander's defect formula in an exact category, and obtain a commutative triangle involving the Auslander bijections and the generalized Auslander-Reiten duality.

Nanoporous Carbon Nitride: A High Efficient Filter for Seawater DesalinationDec 22 2015The low efficiency of commercially-used reverse osmosis (RO) membranes has been the main obstacle in seawater desalination application. Here, we report the auspicious performance, through molecular dynamics simulations, of a seawater desalination filter ... More

Narrow C IV absorption doublets on quasar spectra of the Baryon Oscillation Spectroscopic SurveyAug 25 2016In this paper, we extend our works of Papers I and II, which are assigned to systematically survey \CIVab\ narrow absorption lines (NALs) with \zabs$\ll$\zem\ on quasar spectra of the Baryon Oscillation Spectroscopic Survey (BOSS), to collect \CIV\ NALs ... More

The Broad Wing of [O III] λ5007 Emission Line in Active Galactic NucleiFeb 16 2014Feb 21 2014We use a type 2 AGN sample from SDSS DR7 in which the [O III] {\lambda}5007 emission line can be modeled by two Gaussian components, a broad wing plus a narrow core, to investigate the origin of the broad wing and the connection between the velocity shift ... More

Design of optimal illumination patterns in single-pixel imaging using image dictionariesJun 04 2018Single-pixel imaging (SPI) has a major drawback that the huge number of sequential illuminations for capturing one single image requires long acquisition time and high cost. Basis illumination patterns such as sinusoidal patterns in Fourier transform ... More

The generalized Auslander-Reiten duality on a module categoryMar 04 2019We characterize the generalized Auslander--Reiten duality on the category of finitely presented modules over some certain Hom-finite category. Examples of such category include FI and VI.

Convergence of global solutions for some classes of nonlinear damped wave equationsSep 10 2013We consider the asymptotic behavior of the soltion to the wave equation with time-dependent damping and analytic nonlinearity. Our main goal is to prove the convergence of a global solution to an equilibrium as time goes to infinity by means of a suitable ... More

Extended Bose-Hubbard model in a shaken optical latticeJun 15 2015Sep 03 2015We study an extended Bose-Hubbard model with next-nearest-neighbor (NNN) hopping in a shaken optical lattice. We show how mean-field phase diagram evolves with the change of NNN hopping amplitude $t_{2}$, which can be easily tuned via shaking amplitude. ... More

Zero bias transformation and asymptotic expansionsMar 05 2009We apply the zero bias transformation to deduce a recursive asymptotic expansion formula for expectation of functions of sum of independent random variables in terms of normal expectations and we discuss the remainder term estimations.

Stitching Videos from a Fisheye Lens Camera and a Wide-Angle Lens Camera for Telepresence RobotsMar 15 2019Many telepresence robots are equipped with a forward-facing camera for video communication and a downward-facing camera for navigation. In this paper, we propose to stitch videos from the FF-camera with a wide-angle lens and the DF-camera with a fisheye ... More

Deducing the Lowest Rest Mass Quarks and Baryons of all Kinds with an Expanded Form of Planck-Bohr's Quantization MethodMay 20 2005May 26 2005Using an expanded form of Planck-Bohr's quantization method and phenomenological formulae,} {\small we deduce the rest masses and intrinsic quantum numbers (I, S, C, b and Q) of all kinds of the lowest energy quarks and baryons, from only one elementary ... More

The Body Center Cubic Quark Lattice ModelMar 12 2004Mar 12 2004The Standard Model while successful in many ways is incomplete; many questions remain. The origin of quark masses and hadronization of quarks are awaiting an answer. From the Dirac sea concept, we infer that two kinds of elementary quarks (u(0) and d(0)) ... More

A Proposal About the Confinement of QuarksJan 06 2004Jan 14 2004From the Dirac sea concept and the Quark Model, we infer a phenomenological accompanying excitation concept. This concept will give an explanation for the confinement of quarks.

A Phenomenological Model of the Baryons The Body Center Cubic Model of the Vacuum MaterialDec 19 2000From the quark confinement idea, we conjecture that the quarks compose colorless particles (uud and udd - the Lee Particles) and then the Lee Particles construct a body center cubic lattice in the vacuum. In terms of the energy band theory, from the symmetries ... More

One dimensional self-organization and nonequilibrium phase transition in a Hamiltonian systemOct 24 2016Self-organization and nonequilibrium phase transitions are well known to occur in two and three dimensional dissipative systems. Here instead, we provide numerical evidence that these phenomena also occur in a one dimensional Hamiltonian system. To this ... More

Robust Optimal-Complexity Multilevel ILU for Predominantly Symmetric SystemsJan 10 2019Incomplete factorization is a powerful preconditioner for Krylov subspace methods for solving large-scale sparse linear systems. Existing incomplete factorization techniques, including incomplete Cholesky and incomplete LU factorizations, are typically ... More

A toy quantum model of psychologyMar 05 2019We propose the ideal individual model and the behavior coordinate system. Based on the ideal individual model, the behavior coordinate system and the quantum probability, a toy quantum model of human psychology is presented here in a different way. It ... More

Butterfly Floquet Spectrum in Driven SU(2) SystemsJun 12 2009The Floquet spectrum of a class of driven SU(2) systems is shown to display a butterfly pattern with multi-fractal properties. The level crossing between Floquet states of the same parity or different parities is studied. The results are relevant to studies ... More

Generating a Fractal Butterfly Floquet Spectrum in a Class of Driven SU(2) SystemsJun 12 2009A scheme for generating a fractal butterfly Floquet spectrum, first proposed by Wang and Gong [Phys. Rev. A {\bf 77}, 031405(R) (2008)], is extended to driven SU(2) systems such as a driven two-mode Bose-Einstein condensate. A new class of driven systems ... More

Towards the ultimate storage ring: the lattice design for Beijing Advanced Photon SourceMay 05 2013A storage ring-based light source, Beijing Advanced Photon Source (BAPS) is proposed to store 5-GeV low-emittance electron beam and to provide high-brilliance coherent radiation. In this paper, we report our efforts of pushing down the emittance of BAPS ... More

Cyclic Homology of Strong Smash Product AlgebrasAug 15 2010For any strong smash product algebra $A\#_{_R}B$ of two algebras $A$ and $B$ with a bijective morphism $R$ mapping from $B\ot A$ to $A\ot B$, we construct a cylindrical module $A\natural B$ whose diagonal cyclic module $\Delta_{\bullet}(A\natural B)$ ... More

The Auslander-Reiten duality via morphisms determined by objectsDec 08 2016Mar 08 2018Given an exact category $\mathcal{C}$, we denote by $\mathcal{C}_l$ the smallest additive subcategory containing injectives and indecomposable objects which appear as the first term of an almost split conflation. We prove that a deflation is right determined ... More

An Extremal Inequality for Long Markov ChainsApr 28 2014Let $X,Y$ be jointly Gaussian vectors, and consider random variables $U,V$ that satisfy the Markov constraint $U-X-Y-V$. We prove an extremal inequality relating the mutual informations between all ${4 \choose 2}$ pairs of random variables from the set ... More

On the stabilisers of locally 2-transitive graphsMar 28 2016For a connected locally $(G,s$)-arc-transitive graph $\Gamma$ with $s\geqslant 2$ and an edge ${v,w}$, determining the amalgam $(G_v,G_w,G_{vw})$ is a fundamental problem in the area of symmetrical graph theory, but it is very difficult. In this paper, ... More

The Dirichlet problem for a class of Hessian type equationsDec 22 2014May 05 2016We are concerned with the Dirichlet problem for a class of Hessian type equations. Applying some new methods we are able to establish the $C^2$ estimates for an approximating problem under essentially optimal structure conditions. Based on these estimates, ... More

Consistent Computation of First- and Second-Order Differential Quantities for Surface MeshesMar 16 2008Mar 27 2008Differential quantities, including normals, curvatures, principal directions, and associated matrices, play a fundamental role in geometric processing and physics-based modeling. Computing these differential quantities consistently on surface meshes is ... More

Pseudosingularity in the eigenvalue integral equationsApr 18 2016The reliability is of the most importance when employing a numerical method to solve the eigenvalue integral equations. In this paper, we present one type of particular singularities (pseudosingularities) existing in eigenvalue integral equations which ... More

The Quark Dirac Sea and the Contracted Universe cooperate to produce the Big BangDec 06 2009The Big Bang theory cannot and does not provide any explanation for the primordial hot and dense initial condition. In order to give an explanation for the cause of the Big Bang, this paper expands the original Dirac sea (which includes only electrons) ... More

The Body Center Cubic Quark Lattice Model (A Modification and Further Development of the Quark Model)Nov 02 2002We assume that the u quarks and the d quarks constitute a body center cubic quark lattice in the vacuum. Using energy band theory, we deduce an excited quark spectrum (from the quark lattice). Using the accompanying excitation concept, we deduce a baryon ... More

A Possible Structure Model of the Vacuum: The Body Center Cubic Model of the Vacuum MaterialOct 25 2000This paper has deduced the baryon spectrum using only 2 flavored quarks u and d (each of them has three colored members). From Dirac's sea concept and the quark confinement idea, we conjecture and then assume that the quarks (in the vacuum state) compose ... More

Impulse response of a generalized fractional second order filterJun 07 2011Dec 17 2012The impulse response of a generalized fractional second order filter of the form ${{({{s}^{2\alpha}}+a{{s}^{\alpha}}+b)}^{-\gamma}}$ is derived, where $0<\alpha \le 1$, $0<\gamma <2$. The asymptotic properties of the impulse responses are obtained for ... More

Realization of $U_q({\frak {sp}}_{2n})$ within the Differential Algebra on Quantum Symplectic SpaceSep 17 2016We realize the Hopf algebra $U_q({\frak {sp}}_{2n})$ as an algebra of quantum differential operators on the quantum symplectic space $\eks$ and prove that $\eks$ is a $\u$-module algebra whose irreducible summands are just its homogeneous subspaces. We ... More

Uniqueness theorems for the Boussinesq systemOct 31 2018We address the uniqueness problem for mild solutions of the Boussinesq system in R 3. We provide several uniqueness classes on the velocity and the temperature, generalizing in this way the classical C([0, T ]; L 3 (R 3))-uniqueness result for mild solutions ... More

Absorbing Phenomena and Escaping Time for Muller's Ratchet in Adaptive LandscapeMay 01 2012Sep 08 2012Background: The accumulation of deleterious mutations of a population directly contributes to the fate as to how long the population would exist, a process often described as Muller's ratchet with the absorbing phenomenon. The key to understand this absorbing ... More

WLS-ENO: Weighted-Least-Squares Based Essentially Non-Oscillatory Schemes for Finite Volume Methods on Unstructured MeshesFeb 08 2016Mar 11 2016ENO (Essentially Non-Oscillatory) and WENO (Weighted Essentially Non-Oscillatory) schemes are widely used high-order schemes for solving partial differential equations (PDEs), especially hyperbolic conservation laws with piecewise smooth solutions. For ... More

Proposal of a Cold-atom Realization of Quantum Maps with Hofstadter's Butterfly SpectrumNov 26 2007Mar 26 2008Quantum systems with Hofstadter's butterfly spectrum are of fundamental interest to many research areas. Based upon slight modifications of existing cold-atom experiments, a cold-atom realization of quantum maps with Hofstadter's butterfly spectrum is ... More

Anomalous heat conduction and anomalous diffusion in one dimensional systemsJun 23 2003We establish a connection between anomalous heat conduction and anomalous diffusion in one dimensional systems. It is shown that if the mean square of the displacement of the particle is $<\Delta x^2> =2Dt^{\alpha} (0<\alpha\le 2)$, then the thermal conductivity ... More

Deducing Quark Rest Masses with Phenomenological FormulaeJul 11 2005Aug 03 2005Using phenomenological formulae, we can deduce the rest masses and intrinsic quantum numbers (I, S, C, B and Q) of quarks, baryons and mesons from only one unflavored elementary quark family. The deduced quantum numbers match experimental results exactly, ... More

Information uncertainty related to marked random times and optimal investmentJul 10 2016We study an optimal investment problem under default risk where related information such as loss or recovery at default is considered as an exogenous random mark added at default time. Two types of agents who have different levels of information are considered. ... More

One dimensional self-organization and nonequilibrium phase transition in a Hamiltonian systemOct 24 2016Nov 18 2016Self-organization and nonequilibrium phase transitions are well known to occur in two and three dimensional dissipative systems. Here instead, we provide numerical evidence that these phenomena also occur in a one dimensional Hamiltonian system. To this ... More

The Auslander-Reiten duality via morphisms determined by objectsDec 08 2016Given an exact category $\mathcal{C}$, we denote by $\mathcal{C}_l$ the smallest additive subcategory containing injectives and indecomposable objects which appear as the first term of an almost split conflation. We prove that a deflation is right determined ... More

The first initial boundary value problem for Hessian equations of parabolic type on Riemannian manifoldsFeb 15 2015In this paper, we are concerned with the first initial boundary value problem for a class of fully nonlinear parabolic equations on Riemannian manifolds. As usual, the establishment of the a priori C^2 estimates is our main part. Based on these estimates, ... More

Second order estimates for Hessian type fully nonlinear elliptic equations on Riemannian manifoldsJan 29 2014We derive a priori estimates for second order derivatives of solutions to a wide calss of fully nonlinear elliptic equations on Riemannian manifolds. The equations we consider naturally appear in geometric problems and other applications such as optimal ... More

Sufficient and Necessary Condition of Admissibility for Fractional-order Singular SystemJun 07 2011Dec 18 2012This paper has been withdrawn. This paper focuses on the admissibility condition for fractional-order singular system with order $\alpha \in (0,1)$. The definitions of regularity, impulse-free and admissibility are given first, then a sufficient and necessary ... More

Information uncertainty related to marked random times and optimal investmentJul 10 2016Mar 01 2017We study an optimal investment problem under default risk where related information such as loss or recovery at default is considered as an exogenous random mark added at default time. Two types of agents who have different levels of information are considered. ... More

Generate Uniform Transverse Distributed Electron Beam along a Beam LineApr 27 2015It has been reported that transverse distribution shaping can help to further enhance the energy extraction efficiency in a terawatt, tapered X-ray free-electron laser. Thus, methods of creating and keeping almost uniform transverse distributed (UTD) ... More

Emergent Behaviors from A Cellular Automaton Model for Invasive Tumor Growth in Heterogeneous MicroenvironmentsNov 02 2011Jan 04 2012Understanding tumor invasion and metastasis is of crucial importance for both fundamental cancer research and clinical practice. In vitro experiments have established that the invasive growth of malignant tumors is characterized by the dendritic invasive ... More

Exact Constructions of a Family of Dense Periodic Packings of TetrahedraApr 30 2010The determination of the densest packings of regular tetrahedra (one of the five Platonic solids) is attracting great attention as evidenced by the rapid pace at which packing records are being broken and the fascinating packing structures that have emerged. ... More

Statistical analysis of the limitation of half integer resonances on the available momentum acceptance of a diffraction-limited storage ringJun 23 2016In a diffraction-limited storage ring (DLSR), the momentum acceptance (MA) might be limited by the half integer resonances (HIRs) excited by focusing errors, associated with the large detuning terms from the strong focusing and strong sextupoles required ... More

PEPX-type lattice design and optimization for the High Energy Photon SourceNov 21 2014A new generation of storage ring-based light source, called diffraction-limited storage ring (DLSR), with the emittance approaching the diffraction limit for multi-keV photons by using the multi-bend achromat lattice, has attracted worldwide and extensive ... More

Quantitative Characterization of the Microstructure and Transport Properties of Biopolymer NetworksMar 21 2012Biopolymer networks are of fundamental importance to many biological processes in normal and tumorous tissues. In this paper, we employ the panoply of theoretical and simulation techniques developed for characterizing heterogeneous materials to quantify ... More

Shining A Light On Galactic Outflows: Photo-Ionized OutflowsJan 19 2016We study the ionization structure of galactic outflows in 37 nearby, star forming galaxies with the Cosmic Origins Spectrograph on the Hubble Space Telescope. We use the O I, Si II, Si III, and Si IV ultraviolet absorption lines to characterize the different ... More

Scaling Relations Between Warm Galactic Outflows and Their Host GalaxiesDec 05 2014We report on a sample of 51 nearby, star-forming galaxies observed with the Cosmic Origin Spectrograph on the Hubble Space Telescope. We calculate Si II kinematics and densities arising from warm gas entrained in galactic outflows. We use multi-wavelength ... More

The New Symmetries Beyond the Standard Model (The Body-centred Cubic Periodic Symmetries in Particle Physics)Feb 19 2008Feb 19 2008This paper proposes new symmetries (the body-centred cubic periodic symmetries) beyond the standard model. Using a free particle expanded Schrodinger equation with the body-centred cubic periodic symmetry condition, the paper deduces a full baryon spectrum ... More

Phenomenological Formulae for Quarks, Baryons and MesonsFeb 09 2005May 31 2005From only two elementary quarks ($\epsilon_{u}(0) $ and $\epsilon_{d}(0)) $ and the symmetries of the regular rhombic dodecahedron, using phenomenological formulae, we deduced the rest masses and the intrinsic quantum numbers (I, S, C, b and Q) of a quark ... More

Using Phenomenological Formulae,Deducing the Masses and Flavors of the Quarks, Baryons and Mesons from Two Elementary QuarksMar 27 2006May 22 2006Using phenomenological formulae, we deduce the masses and quantum numbers of the quarks from two elementary quarks ($\epsilon_{u}$ and $\epsilon_{d}$) first. Then using the sum laws and a binding energy formula, in terms of the qqq baryon model and SU(4), ... More

Fast PET reconstruction using Multi-scale Fully Convolutional Neural NetworksApr 24 2017Reconstruction of PET images is an ill-posed inverse problem and often requires iterative algorithms to achieve good image quality for reliable clinical use in practice, at huge computational costs. In this paper, we consider the PET reconstruction a ... More

Multiple Instance Hybrid Estimator for Learning Target SignaturesJan 09 2017Signature-based detectors for hyperspectral target detection rely on knowing the specific target signature in advance. However, target signature are often difficult or impossible to obtain. Furthermore, common methods for obtaining target signatures, ... More

Quantum Ratchet Accelerator without a Bichromatic Lattice PotentialJun 24 2008In a quantum ratchet accelerator system, a linearly increasing directed current can be dynamically generated without using a biased field. Generic quantum ratchet acceleration with full classical chaos [Gong and Brumer, Phys. Rev. Lett. 97, 240602 (2006)] ... More

Identical ideal individualsMar 10 2019Based on the behavior coordinate system, ideal individual model and quantum probability, the state of an ideal individual is assumed to be described by the behavior state function. Then we present a conjecture that the ideal individuals can be identical. ... More

Robust stability for fractional-order systems with structured and unstructured uncertaintiesJun 07 2011Dec 17 2012The issues of robust stability for two types of uncertain fractional-order systems of order $\alpha \in (0,1)$ are dealt with in this paper. For the polytope-type uncertainty case, a less conservative sufficient condition of robust stability is given; ... More

Bimodule and twisted representation of vertex operator algebrasJan 09 2015In this paper, for a vertex operator algebra $V$ with an automorphism $g$ of order $T,$ an admissible $V$-module $M$ and a fixed nonnegative rational number $n\in\frac{1}{T}\Bbb{Z}_{+},$ we construct an $A_{g,n}(V)$-bimodule $\AA_{g,n}(M)$ and study its ... More

Actions of Hopf quasigroupsMay 14 2010Definitions of actions of Hopf quasigroups are discussed in the context of Long dimodules and smash products. In particular, Long dimodules are defined for Hopf quasigroups and coquasigroups, and solutions to Militaru's D-equation are constructed. A necessary ... More

R-smash products of Hopf quasigroupsOct 08 2010The theory of R-smash products for Hopf quasigroups is developed.

On fluctuations of traces of large matrices over a non-commutative algebraMar 29 2013The paper investigates the asymptotic behavior of (non-normalized) traces of certain classes of matrices with non-commutative random variables as entries. We show that, unlike in the commutative framework, the asymptotic behavior of matrices with free ... More

Organizing Principles for Dense Packings of Nonspherical Hard Particles: Not All Shapes Are Created EqualJun 17 2012Jul 24 2012We have recently devised organizing principles to obtain maximally dense packings of the Platonic and Archimedean solids, and certain smoothly-shaped convex nonspherical particles [Torquato and Jiao, Phys. Rev. E 81, 041310 (2010)]. Here we generalize ... More

Dense Packings of the Platonic and Archimedean SolidsAug 27 2009Dense packings have served as useful models of the structure of liquid, glassy and crystal states of matter, granular media, heterogeneous materials, and biological systems. Probing the symmetries and other mathematical properties of the densest packings ... More

Subdwarf B stars as possible surviving companions in Type Ia supernova remnantsNov 28 2018Although type Ia supernovae (SNe Ia) are so important in many astrophysical fields, a debate on their progenitor model is still endless. Searching the surviving companion in a supernova remnant (SNR) may distinguish different progenitor models, since ... More

A Proposal About the Rest Masses of QuarksJan 14 2004Feb 03 2004From the Dirac sea concept, we infer that a body center cubic quark lattice exists in the vacuum. Adapting the electron Dirac equation, we get a special quark Dirac equation. Using its low-energy approximation, we deduced the rest masses of the quarks: ... More

The Physical Foundation of the Quark Model: the Quark Model as an approximation of the BCC ModelJun 28 2001From the Dirac sea concept, the BCC model infers that the quarks u and d constitute a body center cubic quark lattice in the vacuum; when a quark $q^*$ is excited from the vacuum, the nearest primitive cell u' and d' is accompanying excited by the quark ... More

Deducing Rest Masses of Quarks With a Three Step QuantizationJul 27 2005Aug 03 2005Using a three step quantization and phenomenological formulae, we can deduce the rest masses and intrinsic quantum numbers (I, S, C, B and Q) of quarks from only one unflavored elementary quark family $\epsilon$ with S = C = B = 0 in the vacuum. Then ... More

Superballistic wavepacket spreading in double kicked rotorsMay 24 2016We investigate possible ways in which a quantum wavepacket spreads. We show that in a general class of double kicked rotor systems, a wavepacket may undergo superballistic spreading; i.e., its variance increases as the cubic of time. The conditions for ... More

Robustness in sparse linear models: relative efficiency based on robust approximate message passingJul 31 2015Understanding efficiency in high dimensional linear models is a longstanding problem of interest. Classical work with smaller dimensional problems dating back to Huber and Bickel has illustrated the benefits of efficient loss functions. When the number ... More

Multiple Instance Dictionary Learning using Functions of Multiple InstancesNov 09 2015Aug 03 2016A multiple instance dictionary learning method using functions of multiple instances (DL-FUMI) is proposed to address target detection and two-class classification problems with inaccurate training labels. Given inaccurate training labels, DL-FUMI learns ... More

Analysis and Extension of the Evidential Reasoning Algorithm for Multiple Attribute Decision Analysis with UncertaintyMar 28 2019In multiple attribute decision analysis (MADA) problems, one often needs to deal with assessment information with uncertainty. The evidential reasoning approach is one of the most effective methods to deal with such MADA problems. As kernel of the evidential ... More

$O(N)$ Iterative and $O(NlogN)$ Fast Direct Volume Integral Equation Solvers with a Minimal-Rank ${\cal H}^2$-Representation for Large-Scale $3$-D Electrodynamic AnalysisFeb 28 2017Linear complexity iterative and log-linear complexity direct solvers are developed for the volume integral equation (VIE) based general large-scale electrodynamic analysis. The dense VIE system matrix is first represented by a new cluster-based multilevel ... More

Calculating the free energy difference by applying the Jarzynski equality to a virtual integrable systemMay 25 2018Aug 21 2018The Jarzynski equality (JE) provides a nonequilibrium method to measure and calculate the free energy difference (FED). Note that if two systems share the same Hamiltonian at two equilibrium states, respectively, they share the same FED between these ... More

Optimizing the lattice design for a diffraction-limited storage ring with a rational combination of particle swarm and genetic algorithmsMay 17 2016In the design of a diffraction-limited storage ring (DLSR) consisting of compact multi-bend achromats (MBAs), it is challenging to simultaneously achieve an ultralow emittance and a satisfactory nonlinear performance, due to extremely large nonlinearities ... More

Effect of Dimensionality on the Percolation Threshold of Overlapping Nonspherical HyperparticlesSep 29 2012Jan 21 2013A set of lower bounds on the continuum percolation threshold $\eta_c$ of overlapping convex hyperparticles of general nonspherical (anisotropic) shape with a specified orientational probability distribution in $d$-dimensional Euclidean space have been ... More

Robust Algorithm to Generate a Diverse Class of Dense Disordered and Ordered Sphere Packings via Linear ProgrammingAug 16 2010Dec 14 2010We have formulated the problem of generating periodic dense paritcle packings as an optimization problem called the Adaptive Shrinking Cell (ASC) formulation [S. Torquato and Y. Jiao, Phys. Rev. E {\bf 80}, 041104 (2009)]. Because the objective function ... More

Weighted estimates for the bilinear maximal operator on filtered measure spacesMay 31 2017Assuming the bilinear reverse H\"older's condition, we character weighted inequalities for the bilinear maximal operator on filtered measure spaces. We also obtain Hyt\"onen-P\'erez type weighted estimates for the bilinear maximal operator, which is even ... More

Accretion onto a Moving Reissner-Nordström or Kerr-Newman Black HoleSep 27 2016We obtain an analytic solution for accretion of a gaseous medium with a adiabatic equation of state ($P=\rho$) onto a Reissner-Nordstr\"{o}m or Kerr-Newman black hole which moves at a constant velocity through the medium. We present the mass accretion ... More

Accretion onto a Kiselev black holeMay 08 2016Jun 03 2017We consider accretion onto a Kiselev black hole. We obtain the fundamental equations for accretion without the back-reaction. We determine the general analytic expressions for the critical points and the mass accretion rate and find the physical conditions ... More

Accretion onto a Moving Reissner-Nordström Black HoleSep 27 2016Sep 15 2017We obtain an analytic solution for accretion of a gaseous medium with a adiabatic equation of state ($P=\rho$) onto a Reissner-Nordstr\"{o}m black hole which moves at a constant velocity through the medium. We obtain the specific expression for each component ... More

Rota-Baxter CoalgebrasSep 10 2014We introduce the notion of Rota-Baxter coalgebra which can be viewed as the dual notion of Rota-Baxter algebra. We provide various concrete examples and establish some basic properties of this new object.

A trust-based recommendation method using network diffusion processesMar 22 2018A variety of rating-based recommendation methods have been extensively studied including the well-known collaborative filtering approaches and some network diffusion-based methods, however, social trust relations are not sufficiently considered when making ... More