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Electronic Geometry Textbook: A Geometric Textbook Knowledge Management SystemMay 01 2010Electronic Geometry Textbook is a knowledge management system that manages geometric textbook knowledge to enable users to construct and share dynamic geometry textbooks interactively and efficiently. Based on a knowledge base organizing and storing the ... More

Queue-Aware Variable-Length Coding for Ultra Reliable Low Latency Communications with Random ArrivalMar 14 2019With the phenomenal growth of the Internet of Things (IoT), Ultra Reliable Low Latency Communications (URLLC) has potentially been the enabler to guarantee the stringent requirements on latency and reliability. However, how to achieve low latency and ... More

On $Π$-supplemented subgroups of a finite groupJun 29 2013Jan 07 2014A subgroup $H$ of a finite group $G$ is said to satisfy $\Pi$-property in $G$ if for every chief factor $L/K$ of $G$, $|G/K:N_{G/K}(HK/K\cap L/K)|$ is a $\pi(HK/K\cap L/K)$-number. A subgroup $H$ of $G$ is called to be $\Pi$-supplemented in $G$ if there ... More

On the $π$$\mathfrak{F}$-norm and the $\mathfrak{H}$-$\mathfrak{F}$-norm of a finite groupAug 05 2013Mar 02 2014Let $\mathfrak{H}$ be a Fitting class and $\mathfrak{F}$ a formation. We call a subgroup $\mathcal{N}_{\mathfrak{H},\mathfrak{F}}(G)$ of a finite group $G$ the $\mathfrak{H}$-$\mathfrak{F}$-norm of $G$ if $\mathcal{N}_{\mathfrak{H},\mathfrak{F}}(G)$ is ... More

On partial $Π$-property of subgroups of finite groupsJan 27 2013Nov 04 2014Let $H$ be a subgroup of a finite group $G$. We say that $H$ satisfies partial $\Pi$-property in $G$ if there exists a chief series $\mathit{\Gamma}_G:1=G_0<G_1<\cdots<G_n=G$ of $G$ such that for every $G$-chief factor $G_i/G_{i-1}$ ($1\leq i\leq n$) ... More

The influence of $\mathfrak{F_{\mathrm s}}$-quasinormality of subgroups on the structure of finite groupsJan 22 2014Let $\frak{F}$ be a class of finite groups. A subgroup $H$ of a finite group $G$ is said to be $\mathfrak{F_{\mathrm s}}$-quasinormal in $G$ if there exists a normal subgroup $T$ of $G$ such that $HT$ is $s$-permutable in $G$ and $(H\cap T)H_G/H_G$ is ... More

On supersolubility of finite groups admitting a Frobenius group of automorphisms with fixed-point-free kernelAug 04 2015Assume that a finite group $G$ admits a Frobenius group of automorphisms $FH$ with kernel $F$ and complement $H$ such that $C_{G}(F)=1$. In this paper, we investigate this situation and prove that if $C_G(H)$ is supersoluble and $C_{G'}(H)$ is nilpotent, ... More

On HC-subgroups of a finite groupOct 24 2014A subgroup $H$ of a finite group $G$ is said to be an $\mathscr{H}C$-subgroup of $G$ if there exists a normal subgroup $T$ of $G$ such that $G=HT$ and $H^g \cap N_T(H)\leq H$ for all $g\in G$. In this paper, we investigate the structure of a finite group ... More

Object-centric Sampling for Fine-grained Image ClassificationDec 10 2014This paper proposes to go beyond the state-of-the-art deep convolutional neural network (CNN) by incorporating the information from object detection, focusing on dealing with fine-grained image classification. Unfortunately, CNN suffers from over-fiting ... More

On the principal series representations of semisimple groups with Frobenius mapsFeb 19 2017Feb 25 2018Let ${\bf G}$ be a simply connected semisimple algebraic group over $\Bbbk=\bar{\mathbb{F}}_q$, the algebraically closure of $\mathbb{F}_q$ (the finite field with $q=p^e$ elements), and $F$ be the standard Frobenius map. Let ${\bf B}$ be an $F$-stable ... More

On a problem from the Kourovka NotebookAug 05 2015In this manuscript, a solution to Problem 18.91(b) in the Kourovka Notebook is given by proving the following theorem. Let $P$ be a Sylow $p$-subgroup of a group $G$ with $|P| = p^n$. Suppose that there is an integer $k$ such that $1 < k < n$ and every ... More

On the converse of Hall's theoremAug 02 2015In this paper, we mainly investigate the converse of a well-known theorem proved by P. Hall, and present detailed characterizations under the various assumptions of the existence of some families of Hall subgroups. In particular, we prove that if $p\neq ... More

Distributed Bandit Learning: How Much Communication is Needed to Achieve (Near) Optimal RegretApr 12 2019We study the communication complexity of distributed multi-armed bandits (MAB) and distributed linear bandits for regret minimization. We propose communication protocols that achieve near-optimal regret bounds and result in optimal speed-up under mild ... More

Direct Evidence of Superconductivity with Twofold Symmetry in Bi2Te3 Thin Film Deposited on FeTe0.55Se0.45Apr 25 2018Topological superconductor is a timely and frontier topic in condensed matter physics. In superconducting state, an order parameter will be established with the basic or subsidiary symmetry of the crystalline lattice. In doped Bi2Se3 with a basic threefold ... More

Efficient Metropolitan Traffic Prediction Based on Graph Recurrent Neural NetworkNov 02 2018Traffic prediction is a fundamental and vital task in Intelligence Transportation System (ITS), but it is very challenging to get high accuracy while containing low computational complexity due to the spatiotemporal characteristics of traffic flow, especially ... More

On weakly S-embedded subgroups and weakly $τ$-embedded subgroupsJan 29 2013Let $G$ be a finite group. A subgroup $H$ of $G$ is said to be weakly S-embedded in $G$ if there exists $K\unlhd G$ such that $HK$ is S-quasinormal in $G$ and $H\cap K\leq H_{seG}$, where $H_{seG}$ is the subgroup generated by all those subgroups of $H$ ... More

Finite groups in which SS-permutability is a transitive relationJan 29 2013Mar 02 2014A subgroup $H$ of a finite group $G$ is said to be SS-permutable in $G$ if $H$ has a supplement $K$ in $G$ such that $H$ permutes with every Sylow subgroup of $K$. A finite group $G$ is called an SST-group if SS-permutability is a transitive relation ... More

The Decomposition of Permutation Module for Infinite Chevalley GroupsApr 17 2019Let ${\bf G}$ be a connected reductive group defined over $\mathbb{F}_q$, the finite field with $q$ elements. Let ${\bf B}$ be an Borel subgroup defined over $\mathbb{F}_q$. In this paper, we completely determine the composition factors of the induced ... More

The Submodule Structure of Spherical Principal Series Module of Reductive Groups with Frobenius Maps in Cross CharacteristicJul 09 2017Jul 13 2017Let ${\bf G}$ be a connected reductive group over $\bar{\mathbb{F}}_q$, the algebraically closure of $\mathbb{F}_q$ (the finite field with $q=p^e$ elements), with the standard Frobenius map $F$. Let ${\bf B}$ be an $F$-stable Borel subgroup. Let $\Bbbk$ ... More

Selmer groups of symmetric powers of ordinary modular Galois representationsFeb 22 2018Let $p$ be a fixed odd prime number, $\mu$ be a Hida family over the Iwasawa algebra of one variable, $\rho_{\mu}$ its Galois representation, $\mathbb{Q}_\infty/\mathbb{Q}$ the $p$-cyclotomic tower and $S$ the variable of the cyclotomic Iwasawa algebra. ... More

Logarithmic decay of hyperbolic equations with arbitrary boundary dampingMay 06 2008In this paper, we study the logarithmic stability for the hyperbolic equations by arbitrary boundary observation. Based on Carleman estimate, we first prove an estimate of the resolvent operator of such equation. Then we prove the logarithmic stability ... More

Null controllability for the parabolic equation with a complex principal partMay 25 2008This paper is addressed to a study of the null controllability for the semilinear parabolic equation with a complex principal part. For this purpose, we establish a key weighted identity for partial differential operators $(\a+i\b)\pa_t+\sum\limits_{j,k=1}^n\pa_k(a^{jk}\pa_j)$ ... More

Direct Imaging of Nanoscale Conductance Evolution in Ion-Gel-Gated Oxide TransistorsJun 11 2015Electrostatic modification of functional materials by electrolytic gating has demonstrated a remarkably wide range of density modulation, a condition crucial for developing novel electronic phases in systems ranging from complex oxides to layered chalcogenides. ... More

Multi-band superconductivity and possible nodal gap in RbCr$_{3}$As$_{3}$ revealed by Andreev reflection and single-particle tunneling measurementsJan 24 2019By measuring point-contact Andreev reflection spectra in the newly discovered chromium-based quasi-one-dimensional superconductor RbCr$_{3}$As$_{3}$, we find clear evidence of two superconducting components, one has a gap value of about 1.8 meV and another ... More

Direct visualization of sign reversal s^+- superconducting gaps in FeTe0.55Se0.45Oct 15 2018In many unconventional superconductors, the pairing of electrons is driven by the repulsive interaction, which leads to the sign reversal of superconducting gaps along the Fermi surfaces (FS) or between them. However, to measure this sign change is not ... More

Quantum Laplacian EigenmapNov 02 2016Laplacian eigenmap algorithm is a typical nonlinear model for dimensionality reduction in classical machine learning. We propose an efficient quantum Laplacian eigenmap algorithm to exponentially speed up the original counterparts. In our work, we demonstrate ... More

Analyzing the effects of post couplers in DTL tuning by the equivalent circuit modelApr 17 2013May 21 2013Stabilization of the accelerating field in Drift Tube Linac(DTL) is obtained by inserting Post Couplers(PCs).On the basis of the circuit model equivalent for the DTL with and without asymmetrical PCs, stabilization is deduced quantitatively: let $\delta ... More

The Lieb-Yau Conjecture for Ground States of Pseudo-Relativistic Boson StarsApr 15 2019It is known that ground states of the pseudo-relativistic Boson stars exist if and only if the stellar mass $N>0$ satisfies $N<N^*$, where the finite constant $N^*$ is called the critical stellar mass. Lieb and Yau conjecture in [Comm. Math. Phys., 1987] ... More

State of health estimation for lithium-ion battery by combining incremental capacity analysis with Gaussian process regressionMar 15 2019Mar 31 2019The state of health for lithium battery is necessary to ensure the reliability and safety for battery energy storage system. Accurate prediction battery state of health plays an extremely important role in guaranteeing safety and minimizing the maintenance ... More

Existence and asymptotic behavior for the ground state of quasilinear elliptic equationMar 01 2017In this paper, we are concerned with the existence and asymptotic behavior of minimizers for a minimization problem related to some quasilinear elliptic equations. Firstly, we proved that there exist minimizers when the exponent $q$ equals to the critical ... More

Conflict-free (vertex)-connection numbers of graphs with small diametersFeb 28 2019Apr 10 2019A path in an(a) edge(vertex)-colored graph is called a conflict-free path if there exists a color used on only one of its edges(vertices). An(A) edge(vertex)-colored graph is called conflict-free (vertex-)connected if for each pair of distinct vertices, ... More

$π-N$ Drell-Yan process in TMD factorizationNov 16 2018Feb 07 2019This article presents the review of the current understanding on the pion-nucleon Drell-Yan process from the point of view of the TMD factorization. Using the evolution formalism for the unpolarized and polarized TMD distributions developed recently, ... More

On finite groups with some primary subgroups satisfying partial $S$-$Π$-propertyJul 31 2015A $p$-subgroup $H$ of a finite group $G$ is said to satisfy partial $S$-$\Pi$-property in $G$ if $G$ has a chief series $\Gamma_{G}: 1=G_{0}<G_{1}<\cdots<G_{n}=G$ such that for every $G$-chief factor $G_{i}/G_{i-1}$ $(1\leqslant i\leqslant n)$ of $\Gamma_{G}$, ... More

On weakly $\frak{F}_{s}$-quasinormal subgroups of finite groupsJan 07 2014Mar 02 2014Let $\mathfrak{F}$ be a formation and $G$ a finite group. A subgroup $H$ of $G$ is said to be weakly $\mathfrak{F}_{s}$-quasinormal in $G$ if $G$ has an $S$-quasinormal subgroup $T$ such that $HT$ is $S$-quasinormal in $G$ and $(H\cap T)H_{G}/H_{G}\leq ... More

Superconducting nanowire single photon detector at 532 nm and demonstration in satellite laser rangingFeb 11 2016Superconducting nanowire single-photon detectors (SNSPDs) at a wavelength of 532 nm were designed and fabricated aiming to satellite laser ranging (SLR) applications. The NbN SNSPDs were fabricated on one-dimensional photonic crystals with a sensitive-area ... More

Automated Generation of Geometric Theorems from Images of DiagramsJun 06 2014We propose an approach to generate geometric theorems from electronic images of diagrams automatically. The approach makes use of techniques of Hough transform to recognize geometric objects and their labels and of numeric verification to mine basic geometric ... More

Convex PBW-type Lyndon Bases and Restricted Two-Parameter Quantum Group of Type $F_4$Sep 22 2016We determine convex PBW-type Lyndon bases for two-parameter quantum groups $U_{r,s}(F_4)$ with detailed commutation relations. We construct a finite-dimensional Hopf algebra $\mathfrak u_{r,s}(F_4)$, as a quotient of $U_{r,s}(F_4)$ by a Hopf ideal generated ... More

Stochastic Trust Region Methods with Trust Region Radius Depending on Probabilistic ModelsApr 06 2019We present a generic stochastic trust region scheme in which the trust region radius is directly related to the probabilistic models. The proposed scheme is based on probabilistic models which provide good approximations of the objective function with ... More

Towards Near Real-Time BGP Deep Analysis: A Big-Data ApproachMay 24 2017BGP (Border Gateway Protocol) serves as the primary routing protocol for the Internet, enabling Autonomous Systems (individual network operators) to exchange network reachability information. Alongside significant on-going research and development efforts, ... More

A high performance Nb nano-SQUID with a three-dimensional structureDec 24 2016A superconducting quantum interference device (SQUID) miniaturized into nanoscale is promising in the inductive detection of a single electron spin. A nano-SQUID with a strong spin coupling coefficient, a low flux noise, and a wide working magnetic field ... More

Model Interpretation: A Unified Derivative-based Framework for Nonparametric Regression and Supervised Machine LearningAug 22 2018Sep 08 2018Interpreting a nonparametric regression model with many predictors is known to be a challenging problem. There has been renewed interest in this topic due to the extensive use of machine learning algorithms and the difficulty in understanding and explaining ... More

Residual Pyramid Learning for Single-Shot Semantic SegmentationMar 23 2019Pixel-level semantic segmentation is a challenging task with a huge amount of computation, especially if the size of input is large. In the segmentation model, apart from the feature extraction, the extra decoder structure is often employed to recover ... More

Q-learning with UCB Exploration is Sample Efficient for Infinite-Horizon MDPJan 27 2019A fundamental question in reinforcement learning is whether model-free algorithms are sample efficient. Recently, Jin et al. \cite{jin2018q} proposed a Q-learning algorithm with UCB exploration policy, and proved it has nearly optimal regret bound for ... More

Dimensional Analysis and the Time Required to UrinateMar 23 2014According to the recently discovered 'Law of Urination', mammals, ranging in size from mice to elephants, take, on the average, 21s to urinate. We attempt to gain insights into the physical processes responsible for this uniformity using simple dimensional ... More

Discrete Potts Model for Generating Superpixels on Noisy ImagesMar 20 2018Many computer vision applications, such as object recognition and segmentation, increasingly build on superpixels. However, there have been so far few superpixel algorithms that systematically deal with noisy images. We propose to first decompose the ... More

Event-Triggered Consensus for Linear Continuous-time Multi-agent Systems Based on a PredictorFeb 24 2017In this paper, the problem of event-triggered consensus for linear continuous-time multi-agent systems is investigated. A new event-triggered consensus protocol based on a predictor is proposed to achieve consensus without continuous communication among ... More

A Mixed Integer Linear Programming Model for Multi-Satellite SchedulingNov 29 2018Dec 07 2018We address the multi-satellite scheduling problem with limited observation capacities that arises from the need to observe a set of targets on the Earth's surface using imaging resources installed on a set of satellites. We define and analyze the conflict ... More

Effect of Binary Fraction on Horizontal Branch Morphology under Tidally Enhanced Stellar WindJul 17 2014Tidally enhanced stellar wind may affect horizontal branch (HB) morphology in globular clusters (GCs) by enhancing the mass loss of primary star during binary evolution. Lei et al. (2013a, 2013b) studied the effect of this kind of wind on HB morphology ... More

Combined effects of pairing fluctuations and a pseudogap in the Cuprate Hall effectDec 12 2018The normal-state behavior of the temperature-dependent Hall coefficient in cuprate superconductors is investigated using linear response theory. The Hall conductivity is of paramount importance in that its sign and magnitude directly reflect the sign ... More

Majorana and fractionally charged bound states in 1-D Rashba nanowire under spatially varying Zeeman fieldsSep 22 2014We study topological phase transitions in one dimensional (1-D) Rashba nanowire under a spatially varying Zeeman field when coupled to an $s$-wave superconductor substrate. We show that this system supports both Majorana bound states (MBS) and fractionally ... More

Blow-up behavior of ground states for a nonlinear Schrödinger system with attractive and repulsive interactionsOct 03 2017We consider a nonlinear Schr\"odinger system arising in a two-component Bose-Einstein condensate (BEC) with attractive intraspecies interactions and repulsive interspecies interactions in $\mathbb{R}^2$. We get ground states of this system by solving ... More

Blow-up solutions for two coupled Gross-Pitaevskii equations with attractive interactionsAug 15 2015Apr 20 2017The paper is concerned with a system of two coupled time-independent Gross-Pitaevskii equations in $\mathbb{R}^2$, which is used to model two-component Bose-Einstein condensates with both attractive intraspecies and attractive interspecies interactions. ... More

Strangeons constitute bulk strong matter-- To test using GW170817Nov 01 2018Feb 17 2019The fundamental strong interaction determines the nature of pulsar-like compact stars which are essentially in the form of bulk strong matter. From an observational point of view, it is proposed that bulk strong matter could be composed of strangeons, ... More

Revisiting Persistence of Chemical Reaction Networks through Lyapunov Function Partial Differential EquationsSep 29 2018Jan 31 2019In this paper, we propose a novel technique, referred to as the Lyapunov Function PDEs technique, to diagnose persistence of chemical reaction networks with mass-action kinetics. The technique allows that every network is attached to a Lyapuonv function ... More

Double-spin asymmetry $A^{\cosφ_S}_{LT}$ in semi-inclusive DIS at CLAS12 and EIC within the collinear frameworkJun 06 2016Oct 28 2016We study the longitudinal-transverse double-spin asymmetry with a $\cos\phi_S$ modulation in semi-inclusive deep inelastic scattering for charged and neutral pions production. We consider the particular case in which the transverse momentum of the final ... More

Conflict-free connections: algorithm and complexityMay 18 2018Sep 19 2018A path in an(a) edge(vertex)-colored graph is called \emph{a conflict-free path} if there exists a color used on only one of its edges(vertices). An(A) edge(vertex)-colored graph is called \emph{conflict-free (vertex-)connected} if there is a conflict-free ... More

Passive TCP Identification for Wired and WirelessNetworks: A Long-Short Term Memory ApproachApr 09 2019Transmission control protocol (TCP) congestion control is one of the key techniques to improve network performance. TCP congestion control algorithm identification (TCP identification) can be used to significantly improve network efficiency. Existing ... More

From Knowledge Map to Mind Map: Artificial ImaginationMar 04 2019Mar 06 2019Imagination is one of the most important factors which makes an artistic painting unique and impressive. With the rapid development of Artificial Intelligence, more and more researchers try to create painting with AI technology automatically. However, ... More

From Knowledge Map to Mind Map: Artificial ImaginationMar 04 2019Imagination is one of the most important factors which makes an artistic painting unique and impressive. With the rapid development of Artificial Intelligence, more and more researchers try to create painting with AI technology automatically. However, ... More

Discrete energy levels of Caroli-de Gennes-Martricon states in quantum limit due to small Fermi energy in FeTe$_{0.55}$Se$_{0.45}$Sep 27 2017Caroli-de Gennes-Martricon (CdGM) states were predicted in 1964 as low energy excitations within vortex cores of type-II superconductors. In the quantum limit, namely $T/T_\mathrm{c} \ll \Delta/E_\mathrm{F}$, the energy levels of these states were predicted ... More

Boosting up Scene Text Detectors with Guided CNNMay 10 2018May 14 2018Deep CNNs have achieved great success in text detection. Most of existing methods attempt to improve accuracy with sophisticated network design, while paying less attention on speed. In this paper, we propose a general framework for text detection called ... More

Zero-sum Subsequences of Length kq over Finite Abelian p-GroupsMar 24 2015For a finite abelian group $G$ and a positive integer $k$, let $s_{k}(G)$ denote the smallest integer $\ell\in\mathbb{N}$ such that any sequence $S$ of elements of $G$ of length $|S|\geq\ell$ has a zero-sum subsequence with length $k$. The celebrated ... More

On the secondary Upsilon invariantMay 23 2018In this paper we construct an infinite family of knots with vanishing Upsilon invariant $\Upsilon$, although their secondary Upsilon invariants $\Upsilon^2$ show that they are linearly independent in the smooth knot concordance group. We also prove a ... More

Special L-values and Selmer groups of Siegel modular forms of genus 2Nov 05 2018Let $p$ be an odd prime, $N$ a square-free odd positive integer prime to $p$, $\pi$ a $p$-ordinary cohomological irreducible cuspidal automorphic representation of $\mathrm{GSp}_4(\mathbb{A}_\mathbb{Q})$ of principal level $N$ and Iwahori level at $p$. ... More

A Scalable Framework for CSI Feedback in FDD Massive MIMO via DL Path AligningDec 30 2016Unlike the time-division duplexing (TDD) systems, the downlink (DL) and uplink (UL) channels are not reciprocal anymore in the case of frequency-division duplexing (FDD). However, some long-term parameters, e.g. the time delays and angles of arrival (AoAs) ... More

Distance proper connection of graphsJun 21 2016Let $G$ be an edge-colored connected graph. A path $P$ in $G$ is called a distance $\ell$-proper path if no two edges of the same color appear with fewer than $\ell$ edges in between on $P$. The graph $G$ is called $(k,\ell)$-proper connected if every ... More

SEP-Nets: Small and Effective Pattern NetworksJun 13 2017While going deeper has been witnessed to improve the performance of convolutional neural networks (CNN), going smaller for CNN has received increasing attention recently due to its attractiveness for mobile/embedded applications. It remains an active ... More

Geometric Progression-Free Sequences with Small Gaps IIMar 24 2015When $k$ is a constant at least $3$, a sequence $S$ of positive integers is called $k$-GP-free if it contains no nontrivial $k$-term geometric progressions. Beiglb\"ok, Bergelson, Hindman and Strauss first studied the existence of a $ $$k$-GP-free sequence ... More

Cross Number Invariants of Finite Abelian GroupsAug 18 2013Oct 31 2013The cross number of a sequence over a finite abelian group $G$ is the sum of the inverse orders of the terms of that sequence. We study two group invariants, the maximal cross number of a zero-sum free sequence over $G$, called $\mathsf{k}(G)$, introduced ... More

On the Classification of Universal Rotor-RoutersNov 06 2011The combinatorial theory of rotor-routers has connections with problems of statistical mechanics, graph theory, chaos theory, and computer science. A rotor-router network defines a deterministic walk on a digraph G in which a particle walks from a source ... More

Ground States of Two-Component Attractive Bose-Einstein Condensates I: Existence and UniquenessJul 24 2017Nov 22 2017We study ground states of two-component Bose-Einstein condensates (BEC) with trapping potentials in $R^2$, where the intraspecies interaction $(-a_1,-a_2)$ and the interspecies interaction $-\beta$ are both attractive, $i.e,$ $a_1$, $a_2$ and $\beta $ ... More

Properties of ground states of attractive Gross-Pitaevskii equations with multi-well potentialsFeb 06 2015We are interested in the attractive Gross-Pitaevskii (GP) equation in $\R^2$, where the external potential $V(x)$ vanishes on $m$ disjoint bounded domains $\Omega_i\subset \R^2\ (i=1,2,\cdots,m)$ and $V(x)\to\infty$ as $|x|\to\infty$, that is, the union ... More

Fermi surface topology and negative longitudinal magnetoresistance observed in centrosymmetric NbAs2 semimetalFeb 04 2016Mar 14 2016We report transverse and longitudinal magneto-transport properties of NbAs2 single crystals. Attributing to the electron-hole compensation, non-saturating large transverse magnetoresistance reaches up to 8000 at 9 T at 1.8 K with mobility around 1 to ... More

An Empirical Study on Sentiment Classification of Chinese Review using Word EmbeddingNov 05 2015In this article, how word embeddings can be used as features in Chinese sentiment classification is presented. Firstly, a Chinese opinion corpus is built with a million comments from hotel review websites. Then the word embeddings which represent each ... More

Phase Diagram of the Interacting Majorana Chain ModelMay 15 2015Dec 17 2015The Hubbard chain and spinless fermion chain are paradigms of strongly correlated systems, very well understood using Bethe ansatz, Density Matrix Renormalization Group (DMRG) and field theory/renormalization group (RG) methods. They have been applied ... More

On High-Order Capacity Statistics of Spectrum Aggregation Systems over $κ$-$μ$ and $κ$-$μ$ shadowed Fading ChannelsDec 06 2016The frequency scarcity imposed by fast growing demand for mobile data service requires promising spectrum aggregation systems. The so-called higher-order statistics (HOS) of the channel capacity is a suitable metric on the system performance. While prior ... More

The optical/UV excess of X-ray-dim isolated neutron star II. nonuniformity of plasma on strangeon star surfaceMay 10 2017Apr 01 2018X-ray-dim isolated neutron stars (XDINSs), also known as the Magnificent Seven, exhibits a Planck-like soft X-ray spectrum. In the optical/ultraviolet(UV) band, there is an excess of radiation compared to the extrapolation from the X-ray spectrum. A model ... More

DolphinAtack: Inaudible Voice CommandsAug 31 2017Speech recognition (SR) systems such as Siri or Google Now have become an increasingly popular human-computer interaction method, and have turned various systems into voice controllable systems(VCS). Prior work on attacking VCS shows that the hidden voice ... More

Ferromagnetism of electrons in solid quark cluster starsDec 14 2015In this paper we are trying to solve the problem of the origin of strong magnetic fields in the framework of solid quark-cluster stars. We propose that, under the Coulomb repulsion, the electrons inside the stars could spontaneously magnetized and become ... More

Cylindrically Symmetric Ground State Solutions for Curl-Curl Equations with Critical ExponentSep 30 2016We study the following nonlinear critical curl-curl equation \begin{equation}\label{eq0.1}\nabla\times \nabla\times U +V(x)U=|U|^{p-2}U+ |U|^4U,\quad x\in \mathbb{R}^3,\end{equation} where $V(x)=V(r, x_3)$ with $r=\sqrt{x_1^2+x_2^2}$ is 1-periodic in ... More

Weak convergence of two-time-scale stochastic delay differential equations driven by Lévy processesJul 18 2018We focus on the asymptotic behavior of two-time-scale delay systems driven by L\'evy processes. There are several difficulties in these problems, such as ${\left( {{x^\varepsilon }\left( t \right),{\xi ^\varepsilon }\left( t \right)} \right)^\prime }$ ... More

Cylindrically Symmetric Ground State Solutions for Curl-Curl Equations with Critical ExponentSep 30 2016Dec 14 2017We study the following nonlinear critical curl-curl equation \begin{equation}\label{eq0.1}\nabla\times \nabla\times U +V(x)U=|U|^{p-2}U+ |U|^4U,\quad x\in \mathbb{R}^3,\end{equation} where $V(x)=V(r, x_3)$ with $r=\sqrt{x_1^2+x_2^2}$ is 1-periodic in ... More

An Integral Equation Method for the Cahn-Hilliard Equation in the Wetting ProblemApr 15 2019We present an integral equation approach to solve the Cahn-Hilliard equation equipped with boundary conditions that model solid surfaces with prescribed Young's angles. Discretization of the system in time using convex splitting leads to a modified biharmonic ... More

An efficient iterative thresholding method for image segmentationAug 04 2016Aug 12 2016We proposed an efficient iterative thresholding method for multi-phase image segmentation. The algorithm is based on minimizing piecewise constant Mumford-Shah functional in which the contour length (or perimeter) is approximated by a non-local multi-phase ... More

Defect-Tolerant CMOL Cell Assignment via SatisfiabilityMay 29 2007We present a CAD framework for CMOL, a hybrid CMOS/ molecular circuit architecture. Our framework first transforms any logically synthesized circuit based on AND/OR/NOT gates to a NOR gate circuit, and then maps the NOR gates to CMOL. We encode the CMOL ... More

Machine Learned Resume-Job Matching SolutionJul 26 2016Job search through online matching engines nowadays are very prominent and beneficial to both job seekers and employers. But the solutions of traditional engines without understanding the semantic meanings of different resumes have not kept pace with ... More

Emergent Supersymmetry from Strongly Interacting Majorana Zero ModesApr 20 2015Sep 14 2015We show that a strongly interacting chain of Majorana zero modes exhibits a supersymmetric quantum critical point corresponding to the $c={7\over 10}$ tricritical Ising model, which separates a critical phase in the Ising universality class from a supersymmetric ... More

Exact Synthesis of 3-Qubit Quantum Circuits from Non-Binary Quantum Gates Using Multiple-Valued Logic and Group TheoryOct 25 2007We propose an approach to optimally synthesize quantum circuits from non-permutative quantum gates such as Controlled-Square-Root-of-Not (i.e. Controlled-V). Our approach reduces the synthesis problem to multiple-valued optimization and uses group theory. ... More

Geometric Progression-Free Sequences with Small GapsJan 16 2015Various authors, including McNew, Nathanson and O'Bryant, have recently studied the maximal asymptotic density of a geometric progression free sequence of positive integers. In this paper we prove the existence of geometric progression free sequences ... More

Causal propagation of signal in strangeon matterNov 22 2017Feb 10 2018The state equation of strangeon matter is very stiff due to the non-relativistic nature of and the repulsing interaction between the particles, and pulsar masses as high as $\sim 3M_\odot$ would be expected. However, an adiabatic sound speed, $c_s=\sqrt{\partial ... More

Eigenvalue problem for a p-Laplacian equation with trapping potentialsMay 26 2016Oct 08 2016Consider the following eigenvalue problem of p-Laplacian equation \begin{equation}\label{P} -\Delta_{p}u+V(x)|u|^{p-2}u=\mu|u|^{p-2}u+a| u|^{s-2}u, x\in \mathbb{R}^{n}, \tag{P} \end{equation} where $a\geq0$, $p\in (1,n)$ and $\mu\in\mathbb{R}$. $V(x)$ ... More

Generic Object Detection With Dense Neural Patterns and RegionletsApr 16 2014This paper addresses the challenge of establishing a bridge between deep convolutional neural networks and conventional object detection frameworks for accurate and efficient generic object detection. We introduce Dense Neural Patterns, short for DNPs, ... More

Conflict-free vertex-connections of graphsMay 20 2017A path in a vertex-colored graph is called \emph{conflict free} if there is a color used on exactly one of its vertices. A vertex-colored graph is said to be \emph{conflict-free vertex-connected} if any two vertices of the graph are connected by a conflict-free ... More

LogMaster: Mining Event Correlations in Logs of Large scale Cluster SystemsMar 04 2010Jan 15 2013This paper presents a methodology and a system, named LogMaster, for mining correlations of events that have multiple attributions, i.e., node ID, application ID, event type, and event severity, in logs of large-scale cluster systems. Different from traditional ... More

Exact quantum query complexity of weight decision problems via Chebyshev polynomialsJan 17 2018Oct 08 2018The weight decision problem, which requires to determine the Hamming weight of a given binary string, is a natural and important problem, with applications in cryptanalysis, coding theory, fault-tolerant circuit design and so on. In particular, both Deutsch-Jozsa ... More

Improving Variational Encoder-Decoders in Dialogue GenerationFeb 06 2018Variational encoder-decoders (VEDs) have shown promising results in dialogue generation. However, the latent variable distributions are usually approximated by a much simpler model than the powerful RNN structure used for encoding and decoding, yielding ... More

Single-spin asymmetry in dihadron production in SIDIS off the longitudinally polarized nucleon targetFeb 21 2019We study the single longitudinal-spin asymmetry of dihadron production in semi-inclusive deep inelastic scattering process. We consider the collinear picture in which the transverse momentum of the final-state hadron pair is integrated out, such that ... More

A Two-Layer Distributed Control Method for Islanded Networked Microgrid SystemsOct 19 2018Oct 29 2018This paper presents a two-layer, four-level distributed control method for networked microgrid (NMG) systems, taking into account the proprietary nature of microgrid (MG) owners. The proposed control architecture consists of a MG-control layer and a NMG-control ... More

A Two-Layer Distributed Control Method for Islanded Networked Microgrid SystemsOct 19 2018Mar 29 2019This paper presents a two-layer, four-level distributed control method for networked microgrid (NMG) systems, taking into account the proprietary nature of microgrid (MG) owners. The proposed control architecture consists of a MG-control layer and a NMG-control ... More

Large-sensitive-area superconducting nanowire single-photon detector at 850 nm with high detection efficiencyJun 25 2015Satellite-ground quantum communication requires single-photon detectors of 850-nm wavelength with both high detection efficiency and large sensitive area. We developed superconducting nanowire single-photon detectors (SNSPDs) on one-dimensional photonic ... More