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Asymptotic Behavior of a Nonlocal KPP Equation with a Stationary Ergodic NonlinearityNov 20 2014Dec 07 2014We consider a space-inhomogeneous Kolmogorov-Petrovskii-Piskunov (KPP) equation with a nonlocal diffusion and a stationary ergodic nonlinearity. By employing and adapting the theory of stochastic homogenization, we show that solutions of this equation ... More

Asymptotic Behavior of a Nonlocal KPP Equation with an Almost Periodic NonlinearityNov 19 2014Jan 18 2016We consider a space-inhomogeneous Kolmogorov-Petrovskii-Piskunov (KPP) equation with a nonlocal diffusion and an almost-periodic nonlinearity. By employing and adapting the theory of homogenization, we show that solutions of this equation asymptotically ... More

Disjunctive Logic Programs versus Normal Logic ProgramsApr 02 2013This paper focuses on the expressive power of disjunctive and normal logic programs under the stable model semantics over finite, infinite, or arbitrary structures. A translation from disjunctive logic programs into normal logic programs is proposed and ... More

Controllable unidirectional transport and photon storage in an one-dimensional lattice with complex hopping ratesJan 14 2018Jan 29 2018We study an one-dimensional non-Hermitian lattice with complex hopping rates, which can be realized by a quasi-one-dimensional sawtooth-type Hermitian lattice after adiabatic elimination with proper conditions. By means of synthetic magnetic fluxes, the ... More

Revisiting Perceptron: Efficient and Label-Optimal Learning of HalfspacesFeb 18 2017Nov 06 2017It has been a long-standing problem to efficiently learn a halfspace using as few labels as possible in the presence of noise. In this work, we propose an efficient Perceptron-based algorithm for actively learning homogeneous halfspaces under the uniform ... More

Inverse scattering transforms and N-double-pole solutions for the derivative NLS equation with zero/non-zero boundary conditionsDec 06 2018We systematically report a rigorous theory of the inverse scattering transforms (ISTs) for the derivative nonlinear Schrodinger (DNLS) equation with both zero boundary condition (ZBC)/non-zero boundary conditions (NZBCs) at infinity and double poles of ... More

Asymptotic energy of graphsOct 06 2008Nov 10 2008The energy of a simple graph $G$ arising in chemical physics, denoted by $\mathcal E(G)$, is defined as the sum of the absolute values of eigenvalues of $G$. We consider the asymptotic energy per vertex (say asymptotic energy) for lattice systems. In ... More

$ε$ expansion analysis of very weak first-order transitions in the cubic anisotropy model, Part IIOct 22 1996Oct 23 1996A companion article analyzed very weakly first-order phase transitions in the cubic anisotropy model using $\eps$ expansion techniques. We extend that analysis to a calculation of the relative discontinuity of specific heat across the transition.

Linear Complexity and Autocorrelation of two Classes of New Interleaved Sequences of Period $2N$Jan 26 2018The autocorrelation and the linear complexity of a key stream sequence in a stream cipher are important cryptographic properties. Many sequences with these good properties have interleaved structure, three classes of binary sequences of period $4N$ with ... More

Semi-Associative $3$-AlgebrasJul 03 2019A new 3-ary non-associative algebra, which is called a semi-associative $3$-algebra, is introduced, and the double modules and double extensions by cocycles are provided. Every semi-associative $3$-algebra $(A, \{ , , \})$ has an adjacent 3-Lie algebra ... More

A note on an Counter Example of DacorognaNov 28 2018In this short note,we correct a well-known counter example of the famous book of Dacorogna[2].

Applying Fourier Analysis to Judgment AggregationOct 27 2018The classical Arrow's Theorem answers "how can $n$ voters obtain a collective preference on a set of outcomes, if they have to obey certain constraints?" We give an analogue in the judgment aggregation framework of List and Pettit, answering "how can ... More

Understanding the TeV emission from a distant blazar PKS 1424+240 in a lepto-hadronic jet modelDec 04 2014We investigate the formation of TeV spectrum of a distant blazar PKS 1424+240 residing at a redshift $z\geq0.6$ in two scenarios in the frame of a lepto-hadronic jet model taking both the uncertainties of the extragalactic background light (EBL) and its ... More

An Empirical Study towards Understanding How Deep Convolutional Nets Recognize FallsDec 05 2018Detecting unintended falls is essential for ambient intelligence and healthcare of elderly people living alone. In recent years, deep convolutional nets are widely used in human action analysis, based on which a number of fall detection methods have been ... More

Many-Anyons Wavefunction, State Capacity and Gentile StatisticsApr 01 2015The many-anyons wavefunction is constructed via the superposition of all the permutations on the direct product of single anyon states and its interchange properties are examined. The phase of permutation is not a representation but the word metric of ... More

Enumeration of perfect matchings of a type of Cartesian products of graphsNov 12 2005Let $G$ be a graph and let Pm$(G)$ denote the number of perfect matchings of $G$. We denote the path with $m$ vertices by $P_m$ and the Cartesian product of graphs $G$ and $H$ by $G\times H$. In this paper, as the continuance of our paper [19], we enumerate ... More

A Dynamic Programming Approach To Length-Limited Huffman CodingJun 30 2008The ``state-of-the-art'' in Length Limited Huffman Coding algorithms is the $\Theta(ND)$-time, $\Theta(N)$-space one of Hirschberg and Larmore, where $D\le N$ is the length restriction on the code. This is a very clever, very problem specific, technique. ... More

Secure direct communication using Einstein-Podolsky-Rosen pairs and teleportationNov 19 2003A novel scheme for secure direct communication between Alice and Bob is proposed, where there is no need for establishing a shared secret key. The communication is based on Einstein-Podolsky-Rosen pairs and teleportation between Alice and Bob. After insuring ... More

Four Variations on Graded PosetsAug 03 2015Aug 04 2015We explore the enumeration of some natural classes of graded posets, including all graded posets, (2+2)- and (3+1)-avoiding graded posets, (2+2)-avoiding graded posets, and (3+1)-avoiding graded posets. We obtain enumerative and structural theorems for ... More

A unified inverse scattering transform and soliton solutions of the nonlocal modified KdV equation with non-zero boundary conditionsOct 29 2018Mar 21 2019We present a rigorous theory of a unified and simple inverse scattering transform (IST) for both focusing and defocusing real nonlocal (reverse-space-time) modified Korteweg-de Vries (mKdV) equations with non-zero boundary conditions (NZBCs) at infinity. ... More

Inverse scattering transforms for the focusing and defocusing mKdV equations with nonzero boundary conditionsOct 29 2018Mar 21 2019We explore systematically a rigorous theory of the inverse scattering transforms with matrix Riemann-Hilbert problems for both focusing and defocusing modified Korteweg-de Vries (mKdV) equations with non-zero boundary conditions (NZBCs) at infinity. Using ... More

A Unified Enumeration of 1-dimension Garden Algebras and Valise AdinkrasJan 08 2018In the study of supersymmetry in one dimension, various works enumerate sets of generators of garden algebras $GR(d,N)$ (and equivalently, valise Adinkras) for special cases $N = d = 4$ and $N = d = 8$, using group-theoretic methods and computer computation. ... More

The Berry curvature dipole in Weyl semimetal materials: an ab initio studyAug 29 2017Noncentrosymmetric metals are anticipated to exhibit a $dc$ photocurrent in the nonlinear optical response caused by the Berry curvature dipole in momentum space. Weyl semimetals (WSMs) are expected to be excellent candidates for observing these nonlinear ... More

Optical Bragg, atom Bragg and cavity QED detections of quantum phases and excitation spectra of ultracold atoms in bipartite and frustrated optical latticesDec 22 2008Nov 01 2012Ultracold atoms loaded on optical lattices can provide unprecedented experimental systems for the quantum simulations and manipulations of many quantum phases and quantum phase transitions between these phases. However, so far, how to detect these quantum ... More

A Comparison of Methods for Identifying Location Effects in Unreplicated Fractional Factorials in the Presence of Dispersion EffectsApr 24 2019Most methods for identifying location effects in unreplicated fractional factorial designs assume homoscedasticity of the response values. However, dispersion effects in the underlying process may create heteroscedasticity in the response values. This ... More

Spin-filtered and Spatially Distinguishable Crossed Andreev Reflection in a Silicene-Superconductor JunctionJul 05 2016We theoretically investigate the quantum transports in a junction between a superconductor and a silicene nanoribbon, under the effect of a magnetic exchange field. We find that for a narrow nanoribbon of silicene, remarkable crossed Andreev reflection ... More

Distributed off-Policy Actor-Critic Reinforcement Learning with Policy ConsensusMar 21 2019In this paper, we propose a distributed off-policy actor critic method to solve multi-agent reinforcement learning problems. Specifically, we assume that all agents keep local estimates of the global optimal policy parameter and update their local value ... More

Charmonium possibility of X(3872)Oct 19 2006Dec 20 2007Properties of Regge trajectories for charmonium are studied. Possible interpretations and their implications to newly observed X(3872) are examined. It is found that the mass of X(3872) is consistent with the 1^{++} 2^3P_1 and the 2^{-+} 1^1D_2 charmonium ... More

Inequalities for selected eigenvalues of the product of matricesMay 09 2019The product of a Hermitian matrix and a positive semidefinite matrix has only real eigenvalues. We present bounds for sums of eigenvalues of such a product.

Structural Theory of 2-d AdinkrasAug 03 2015Adinkras are combinatorial objects developed to study 1-dimensional supersymmetry representations. Recently, 2-d Adinkras have been developed to study 2-dimensional supersymmetry. In this paper, we classify all 2-d Adinkras, confirming a conjecture of ... More

Independence of Causal Influence and Clique Tree PropagationFeb 06 2013This paper explores the role of independence of causal influence (ICI) in Bayesian network inference. ICI allows one to factorize a conditional probability table into smaller pieces. We describe a method for exploiting the factorization in clique tree ... More

Skyrmion dynamics in a chiral magnet driven by periodically varying spin currentsJun 30 2016In this work, we investigated the spin dynamics in a slab of chiral magnets induced by an alternating (ac) spin current. Periodic trajectories of the skyrmion in real space are discovered under the ac current as a result of the competition among the Gilbert-damping-induced ... More

Skyrmion dynamics in a chiral magnet driven by periodically varying spin currentsJun 30 2016Dec 06 2016In this work, we investigated the spin dynamics in a slab of chiral magnets induced by an alternating (ac) spin current. Periodic trajectories of the skyrmion in real space are discovered under the ac current as a result of the Magnus and viscous forces, ... More

Tailoring the topological details of the magnetic skyrmion by the spin configuration at the edgesJul 12 2016Oct 05 2016The magnetic skyrmion structure can be formed in the chiral magnets (CMs) with strong Dzyaloshinskii-Moriya interactions. In this work, we propose a way of artificially tailoring the topological details of the skyrmion such as its radial and whirling ... More

Real-time cosmology with SKAJul 17 2019In this work, we investigate what extent the cosmological parameters can be constrained to when the redshift drift data of Square Kilometre Array (SKA) are used alone and what will happen when the European Extremely Large Telescope (E-ELT) and SKA mock ... More

Axiomatizing Lüttgen and Vogler's ready simulation for finite processes in $\text{CLL}_R$Feb 12 2015In the framework of logic labelled transition system, a variant of weak ready simulation has been presented by L\"{u}ttgen and Vogler. It has been shown that such behavioural preorder is the largest precongruence w.r.t parallel and conjunction composition ... More

Formation of very hard electron and gamma-ray spectra of flat spectrum radio quasar in fast-cooling regimeOct 31 2015Mar 29 2016In external Compton scenario, we investigate the formation of the very hard electron spectrum in the fast-cooling regime, using a time-dependent emission model. It is shown that a very hard electron distribution $N'_{\rm e}(\gp)\propto\gp^{-p}$ with the ... More

Parameter constraints in a near-equipartition model with multi-frequency \emph{NuSTAR}, \emph{Swift} and \emph{Fermi-LAT} data from 3C 279Sep 16 2015Precise spectra of 3C 279 in the 0.5-70 keV range, obtained during two epochs of \emph{Swift} and \emph{NuSTAR} observations, are analyzed using a near-equipartition model. We apply a one-zone leptonic model with a three-parameter log-parabola electron ... More

On the greatest solution of equations in $\text{CLL}_R$Feb 12 2015It is shown that, for any equation $X=_{RS} t_X$ in the LLTS-oriented process calculus $\text{CLL}_R$, if $X$ is strongly guarded in $t_X$, then the recursive term $\langle X|X=t_X \rangle$ is the greatest solution of this equation w.r.t L\"{u}ttgen and ... More

Neural IR Meets Graph Embedding: A Ranking Model for Product SearchJan 24 2019Recently, neural models for information retrieval are becoming increasingly popular. They provide effective approaches for product search due to their competitive advantages in semantic matching. However, it is challenging to use graph-based features, ... More

The Rise of Social Botnets: Attacks and CountermeasuresMar 08 2016Apr 06 2016Online social networks (OSNs) are increasingly threatened by social bots which are software-controlled OSN accounts that mimic human users with malicious intentions. A social botnet refers to a group of social bots under the control of a single botmaster, ... More

Casimir Pistons for Massive Scalar FieldsAug 01 2008The Casimir force on two-dimensional pistons for massive scalar fields with both Dirichlet and hybrid boundary conditions is computed. The physical result is obtained by making use of generalized $\zeta$-function regularization technique. The influence ... More

Stochastic Optimization for Non-convex Inf-Projection ProblemsAug 26 2019In this paper, we study a family of non-convex and possibly non-smooth inf-projection minimization problems, where the target objective function is equal to minimization of a joint function over another variable. This problem includes difference of convex ... More

Stochastic Primal-Dual Algorithms with Faster Convergence than $O(1/\sqrt{T})$ for Problems without Bilinear StructureApr 23 2019Previous studies on stochastic primal-dual algorithms for solving min-max problems with faster convergence heavily rely on the bilinear structure of the problem, which restricts their applicability to a narrowed range of problems. The main contribution ... More

Quadratic Projection Based Feature Extraction with Its Application to Biometric RecognitionMar 25 2016This paper presents a novel quadratic projection based feature extraction framework, where a set of quadratic matrices is learned to distinguish each class from all other classes. We formulate quadratic matrix learning (QML) as a standard semidefinite ... More

Spin-Cherenkov effect in a magnetic nanostrip with interfacial Dzyaloshinskii-Moriya interactionJan 28 2016Apr 12 2016Spin-Cherenkov effect enables strong excitations of spin waves (SWs) with nonlinear wave dispersions. The Dzyaloshinskii-Moriya interaction (DMI) results in anisotropy and nonreciprocity of SWs propagation. In this work, we study the effect of the interfacial ... More

Target Directed Event Sequence Generation for Android ApplicationsJul 12 2016Aug 23 2017Testing is a commonly used approach to ensure the quality of software, of which model-based testing is a hot topic to test GUI programs such as Android applications (apps). Existing approaches mainly either dynamically construct a model that only contains ... More

Giant intrinsic spin Hall effect in the TaAs family of Weyl semimetalsApr 25 2016Aug 12 2016Since their discovery, topological insulators have been expected to be ideal spintronic materials owing to the spin currents carried by surface states with spin--momentum locking. However, the bulk doping problem remains an obstacle that hinders such ... More

A semiparametric spatial dynamic modelMay 23 2014Stimulated by the Boston house price data, in this paper, we propose a semiparametric spatial dynamic model, which extends the ordinary spatial autoregressive models to accommodate the effects of some covariates associated with the house price. A profile ... More

The coordinate coherent states approach revisitedMay 20 2011Nov 13 2012We revisit the coordinate coherent states approach through two different quantization procedures in the quantum field theory on the noncommutative Minkowski plane. The first procedure, which is based on the normal commutation relation between an annihilation ... More

Algebraic and Geometric Mean Density of States in Topological Anderson InsulatorsSep 10 2013Algebraic and geometric mean density of states in disordered systems may reveal properties of electronic localization. In order to understand the topological phases with disorder in two dimensions, we present the calculated density of states for disordered ... More

The physical properties of Fermi BL Lac objects jetsJan 22 2014We investigate the physical properties of BL Lac objects (BL Lacs) jets by modeling the quasi-simultaneous spectral energy distributions (SEDs) of 22 {\it Fermi} BL Lac objects in the frame of a simple one-zone synchrotron self-Compton (SSC) model. We ... More

The contribution from blazar cascade emission to the extragalactic gamma-ray background: What a role does the extragalactic magnetic field play?Feb 20 2012We estimate the contribution to the extragalactic gamma-ray background (EGRB) from both intrinsic and cascade emissions produced by blazars using a simple semi- analysis method for two models of the blazar gamma-ray luminosity function (GLF). For the ... More

An external potential dynamic study on the formation of interface in polydisperse polymer blendsJul 31 2009The formation of interface from an initial sharp interface in polydisperse A/B blends is studied using the external potential dynamic method. The present model is a nonlocal coupling model as we take into account the correlation between segments in a ... More

Mobility-dependent Low-frequency Noise in Graphene Field Effect TransistorsAug 02 2011We have investigated the low-frequency 1/f noise of both suspended and on-substrate graphene field-effect transistors and its dependence on gate voltage, in the temperature range between 300K and 30K. We have found that the noise amplitude away from the ... More

Estimation of the covariance matrix of random effects in longitudinal studiesMar 28 2008Longitudinal studies are often conducted to explore the cohort and age effects in many scientific areas. The within cluster correlation structure plays a very important role in longitudinal data analysis. This is because not only can an estimator be improved ... More

Central Limit Theorems for Supercritical SuperprocessesOct 21 2013Sep 19 2014In this paper, we establish a central limit theorem for a large class of general supercritical superprocesses with spatially dependent branching mechanisms satisfying a second moment condition. This central limit theorem generalizes and unifies all the ... More

Supercritical Superprocesses: Proper Normalization and Non-degenerate Strong LimitAug 15 2017Oct 18 2018Suppose that $X=\{X_t, t\ge 0; \mathbb{P}_{\mu}\}$ is a supercritical superprocess in a locally compact separable metric space $E$. Let $\phi_0$ be a positive eigenfunction corresponding to the first eigenvalue $\lambda_0$ of the generator of the mean ... More

Blow-up phenomena for an integrable two-component Camassa-Holm system with cubic nonlinearity and peakon solutionsJul 30 2015This paper is devoted to an integrable two-component Camassa-Holm system with cubic nonlinearity, which includes the cubic Camassa-Holm equation (also called the Fokas-Olver-Rosenau-Qiao equation) as a special case. The one peaked solitons (peakons) and ... More

Incorporating Context and External Knowledge for Pronoun Coreference ResolutionMay 24 2019Linking pronominal expressions to the correct references requires, in many cases, better analysis of the contextual information and external knowledge. In this paper, we propose a two-layer model for pronoun coreference resolution that leverages both ... More

Symmetry and nonexistence of positive solutions for fractional systemsJun 15 2016Sep 15 2016This paper is devoted to study the nonexistence results of positive solutions for the following fractional H$\acute{e}$non system \begin{eqnarray*}\left\{ \begin{array}{lll} &(-\triangle)^{\alpha/2}u=|x|^av^p,~~~&x\in R^n, &(-\triangle)^{\alpha/2}v=|x|^bu^q,~~~ ... More

High-topological-number magnetic skyrmions and topologically protected dissipative structureMay 04 2015Jan 05 2016The magnetic skyrmion with the topological number of unity ($Q=1$) is a well-known nanometric swirling spin structure in the nonlinear $\sigma$ model with the Dzyaloshinskii-Moriya interaction. Here, we show that magnetic skyrmion with the topological ... More

Hierarchical Model for Long-term Video PredictionJun 27 2017Jul 03 2017Video prediction has been an active topic of research in the past few years. Many algorithms focus on pixel-level predictions, which generates results that blur and disintegrate within a few frames. In this project, we use a hierarchical approach for ... More

Degree conditions for the partition of a graph into triangles and quadrilateralsDec 29 2010Nov 15 2011For two positive integers $r$ and $s$ with $r\geq 2s-2$, if $G$ is a graph of order $3r+4s$ such that $d(x)+d(y)\geq 4r+4s$ for every $xy\not\in E(G)$, then $G$ independently contains $r$ triangles and $s$ quadrilaterals, which partially prove the El-Zahar's ... More

A two-step approach to model precipitation extremes in California based on max-stable and marginal point processesApr 02 2012Jun 16 2015In modeling spatial extremes, the dependence structure is classically inferred by assuming that block maxima derive from max-stable processes. Weather stations provide daily records rather than just block maxima. The point process approach for univariate ... More

On characterization of Poisson integrals of Schrodinger operators with BMO tracesJun 03 2013Sep 22 2013Let L be a Schrodinger operator of the form L=-\Delta+V acting on L^2(Rn) where the nonnegative potential V belongs to the reverse Holder class Bq for some q>= n. Let BMO_L(Rn) denote the BMO space on Rn associated to the Schrodinger operator L. In this ... More

SL(2,C) gravity on noncommutative space with Poisson structureApr 13 2010Sep 16 2010The Einstein's gravity theory can be formulated as an SL(2,C) gauge theory in terms of spinor notations. In this paper, we consider a noncommutative space with the Poisson structure and construct an SL(2,C) formulation of gravity on such a space. Using ... More

On parallel multisplitting methods for non-Hermitian positive definite linear systemsOct 13 2014To solve non-Hermitian linear system Ax=b on parallel and vector machines, some paralell multisplitting methods are considered. In this work, in particular: i) We establish the convergence results of the paralell multisplitting methods, together with ... More

Ameliorating Higgs Induced Flavor Constraints on TeV Scale $W_R$Feb 22 2019In the TeV scale minimal left-right symmetric model (LRSM) for neutrino masses, there is a tension between the flavor changing Higgs effects which prefer an $SU(2)_R$ breaking scale $v_R \gtrsim (15-25)$ TeV depending on whether the theory is kept invariant ... More

A new example of limit variety of aperiodic monoidsJan 08 2019A limit variety is a variety that is minimal with respect to being non-finitely based. The two limit varieties of Marcel Jackson are the only known examples of limit varieties of aperiodic monoids. Our previous work had shown that there exists a limit ... More

Cross-sectional Learning of Extremal Dependence among Financial AssetsMay 31 2019We propose a novel probabilistic model to facilitate the learning of multivariate tail dependence of multiple financial assets. Our method allows one to construct from known random vectors, e.g., standard normal, sophisticated joint heavy-tailed random ... More

Visualization of Convolutional Neural Networks for Monocular Depth EstimationApr 06 2019Recently, convolutional neural networks (CNNs) have shown great success on the task of monocular depth estimation. A fundamental yet unanswered question is: how CNNs can infer depth from a single image. Toward answering this question, we consider visualization ... More

Control contribution identifies top driver nodes in complex networksJun 11 2019We propose a new measure to quantify the impact of a node $i$ in controlling a directed network. This measure, called `control contribution' $\mathcal{C}_{i}$, combines the probability for node $i$ to appear in a set of driver nodes and the probability ... More

Learning Representations of Sets through Optimized PermutationsDec 10 2018Jan 15 2019Representations of sets are challenging to learn because operations on sets should be permutation-invariant. To this end, we propose a Permutation-Optimisation module that learns how to permute a set end-to-end. The permuted set can be further processed ... More

On properties of a class of strong limits for supercritical superprocessesMar 08 2018Aug 29 2018Suppose that $X=\{X_t, t\ge 0; \mathbb{P}_{\mu}\}$ is a supercritical superprocess in a locally compact separable metric space $E$. Let $\phi_0$ be a positive eigenfunction corresponding to the first eigenvalue $\lambda_0$ of the generator of the mean ... More

An answer to Hammerlindl's question on strong unstable foliationsApr 07 2014Let $f: \mathbb{T}^3\to\mathbb{T}^3$ be a partially hyperbolic diffeomorphism on the 3-torus $\mathbb{T}^3$. In his thesis, Hammerlindl proved that for lifted center foliation $\mathcal{F}^c_f$, there exists $R>0$, such that for any $x\in \mathbb{R}^3$, ... More

A semiparametric model for cluster dataAug 24 2009In the analysis of cluster data, the regression coefficients are frequently assumed to be the same across all clusters. This hampers the ability to study the varying impacts of factors on each cluster. In this paper, a semiparametric model is introduced ... More

Two-Dimensional Scanning Phased Array Based on Pattern Reconfigurable AntennaMar 15 2019This paper presents a novel planar phased array that can work in Ka band designed for two-dimensional scanning. A four-modes pattern reconfigurable element based on microstrip Yagi antenna is proposed, and then developed into the 4X4 phased array, in ... More

Singularity of the extremal solution for supercritical biharmonic equations with power-type nonlinearityJan 20 2011Jul 21 2011Let $\lambda^{*}>0$ denote the largest possible value of $\lambda$ such that $$ \{{array}{lllllll} \Delta^{2}u=\lambda(1+u)^{p} & {in}\ \ \B, %0<u\leq 1 & {in}\ \ \B, u=\frac{\partial u}{\partial n} =0 & {on}\ \ \partial \B {array}. $$ has a solution, ... More

The quadratic covariation for a weighted fractional Brownian motionMar 05 2016Let $B^{a,b}$ be a weighted fractional Brownian motion with indices $a,b$ satisfying $a>-1,-1<b<0,|b|<1+a$. In this paper, motivated by the asymptotic property $$ E[(B^{a,b}_{s+\varepsilon}-B^{a,b}_s)^2] =O(\varepsilon^{1+b})\not\sim \varepsilon^{1+a+b}=E[(B^{a,b}_{\varepsilon})^2]\qquad ... More

Robustness of classification ability of spiking neural networksJan 30 2018It is well-known that the robustness of artificial neural networks (ANNs) is important for their wide ranges of applications. In this paper, we focus on the robustness of the classification ability of a spiking neural network which receives perturbed ... More

Stability and chaotic behavior of Bose-Einstein condensates in optical lattices with two- and three-body interactionsApr 22 2009May 07 2009The stability and chaotic behaviors of Bose-Einstein condensates with two- and three-atom interactions in optical lattices are discussed with analytical and numerical methods. It is found that the steady-state relative population appears tuning-fork bifurcation ... More

Blockchain for Internet of Things: A SurveyJun 01 2019Jun 06 2019Internet of Things (IoT) is reshaping the incumbent industry to smart industry featured with data-driven decision-making. However, intrinsic features of IoT result in a number of challenges such as decentralization, poor interoperability, privacy and ... More

Discovery of Proteomics based on Machine learningDec 04 2013The ultimate target of proteomics identification is to identify and quantify the protein in the organism. Mass spectrometry (MS) based on label-free protein quantitation has mainly focused on analysis of peptide spectral counts and ion peak heights. Using ... More

Feature Fusion Encoder Decoder Network For Automatic Liver Lesion SegmentationMar 28 2019Liver lesion segmentation is a difficult yet critical task for medical image analysis. Recently, deep learning based image segmentation methods have achieved promising performance, which can be divided into three categories: 2D, 2.5D and 3D, based on ... More

Williams decomposition for superprocessesSep 12 2016We decompose the genealogy of a general superprocess with spatially dependent branching mechanism with respect to the last individual alive (Williams decomposition). This is a generalization of the main result of Delmas and H\'{e}nard [Electron. J. Probab.,18,1-43,2013] ... More

Central Limit Theorems for Super-OU ProcessesFeb 06 2013In this paper we study supercritical super-OU processes with general branching mechanisms satisfying a second moment condition. We establish central limit theorems for the super-OU processes. In the small and crtical branching rate cases, our central ... More

Thermally stable magnetic skyrmions in multilayer synthetic antiferromagnetic racetracksJan 15 2016Jul 22 2016A magnetic skyrmion is a topological magnetization structure with a nanometric size and a well-defined swirling spin distribution, which is anticipated to be an essential building block for novel skyrmion-based device applications. We study the motion ... More

Antiferromagnetic Skyrmion: Stability, Creation and ManipulationApr 06 2015Apr 04 2016Magnetic skyrmions are particle-like topological excitations in ferromagnets, which have the topological number $Q=\pm 1$, and hence show the skyrmion Hall effect (SkHE) due to the Magnus force effect originating from the topology. Here, we propose the ... More

Deep Defense: Training DNNs with Improved Adversarial RobustnessFeb 23 2018Dec 20 2018Despite the efficacy on a variety of computer vision tasks, deep neural networks (DNNs) are vulnerable to adversarial attacks, limiting their applications in security-critical systems. Recent works have shown the possibility of generating imperceptibly ... More

Automated Threshold Selection for Extreme Value Analysis via Goodness-of-Fit Tests with Application to Batched Return Level MappingApr 07 2016Threshold selection is a critical issue for extreme value analysis with threshold-based approaches. Under suitable conditions, exceedances over a high threshold have been shown to follow the generalized Pareto distribution (GPD) asymptotically. In practice, ... More

Quantum molecular dynamics simulations for the nonmetal-metal transition in shocked methaneDec 22 2010Mar 24 2011We have performed quantum molecular-dynamics simulations for methane under shock compressions up to 80 GPa. We obtain good agreement with available experimental data for the principal Hugoniot, derived from the equation of state. A systematic study of ... More

Semiparametric Expectile Regression for High-dimensional Heavy-tailed and Heterogeneous DataAug 18 2019Recently, high-dimensional heterogeneous data have attracted a lot of attention and discussion. Under heterogeneity, semiparametric regression is a popular choice to model data in statistics. In this paper, we take advantages of expectile regression in ... More

Detection of $γ$-rays from the Protostellar Jet in the HH 80-81 SystemAug 29 2019Considering that the existence of relativistic particles in the protostellar jet has been confirmed by the detection of linearly polarized radio emission from the HH 80-81 jet, we search for $\gamma$-rays (which could be produced by the relativistic particles) ... More

Classification of certain qualitative properties of solutions for the quasilinear parabolic equationsMar 29 2017In this paper, we mainly consider the initial boundary problem for a quasilinear parabolic equation \[ u_t-\mathrm{div}\left(|\nabla u|^{p-2}\nabla u\right)=-|u|^{\beta-1}u+\alpha|u|^{q-2}u, \] where $p>1,\beta>0$, $q\geq1$ and $\alpha>0$. By using Gagliardo-Nirenberg ... More

SafeEmail A safe and reliable email communication system without any spamFeb 25 2019Using multi group asymmetric public and private keys, this paper proposes a encryption email communication system, which makes email communication more secure, lowers the service provider\'s network and storage consumption, and completely eliminates any ... More

Train Feedfoward Neural Network with Layer-wise Adaptive Rate via Approximating Back-matching PropagationFeb 27 2018Stochastic gradient descent (SGD) has achieved great success in training deep neural network, where the gradient is computed through back-propagation. However, the back-propagated values of different layers vary dramatically. This inconsistence of gradient ... More

Stock Prediction: a method based on extraction of news features and recurrent neural networksJul 19 2017This paper proposed a method for stock prediction. In terms of feature extraction, we extract the features of stock-related news besides stock prices. We first select some seed words based on experience which are the symbols of good news and bad news. ... More

LatentGNN: Learning Efficient Non-local Relations for Visual RecognitionMay 28 2019Capturing long-range dependencies in feature representations is crucial for many visual recognition tasks. Despite recent successes of deep convolutional networks, it remains challenging to model non-local context relations between visual features. A ... More

Domain Adaptation via Maximum Independence of Domain FeaturesMar 15 2016When the distributions of the source and the target domains are different, domain adaptation techniques are needed. For example, in the field of sensors and measurement, discrete and continuous distributional change often exist in data because of instrumental ... More