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CRT-Based High Speed Parallel Architecture for Long BCH EncodingApr 21 2009BCH (Bose-Chaudhuri-Hocquenghen) error correcting codes ([1]-[2]) are now widely used in communication systems and digital technology. Direct LFSR(linear feedback shifted register)-based encoding of a long BCH code suffers from serial-in and serial-out ... More

Computing the Mazur and Swinnerton-Dyer critical subgroup of elliptic curvesDec 09 2014Jan 16 2015Let $E$ be an optimal elliptic curve defined over $\mathbb{Q}$. The critical subgroup of $E$ is defined by Mazur and Swinnerton-Dyer as the subgroup of $E(\mathbb{Q})$ generated by traces of branch points under a modular parametrization of $E$. We prove ... More

Minimal Twin SurfacesOct 25 2016Oct 16 2017We report some minimal surfaces that can be seen as copies of a triply periodic minimal surface (TPMS) related by reflections in parallel mirrors. We call them minimal twin surfaces for the resemblance with twin crystal. Brakke's Surface Evolver is employed ... More

Distance Geometry for Kissing SpheresMar 09 2012Oct 23 2012A kissing sphere is a sphere that is tangent to a fixed reference ball. We develop in this paper a distance geometry for kissing spheres, which turns out to be a generalization of the classical Euclidean distance geometry.

Change-point detection for multivariate and non-Euclidean data with local dependencyMar 05 2019In a sequence of multivariate observations or non-Euclidean data objects, such as networks, local dependence is common and could lead to false change-point discoveries. We propose a new way of permutation -- circular block permutation with a random starting ... More

Even More Infinite Ball Packings from Lorentzian Root SystemsAug 11 2014Sep 21 2015Boyd (1974) proposed a class of infinite ball packings that are generated by inversions. Later, Maxwell (1983) interpreted Boyd's construction in terms of root systems in Lorentz space. In particular, he showed that the space-like weight vectors correspond ... More

Apollonian Ball Packings and Stacked PolytopesJun 11 2013Dec 23 2013We investigate in this paper the relation between Apollonian $d$-ball packings and stacked $(d+1)$-polytopes for dimension $d\ge 3$. For $d=3$, the relation is fully described: we prove that the $1$-skeleton of a stacked $4$-polytope is the tangency graph ... More

Ball packings with high chromatic numbers from strongly regular graphsFeb 06 2015May 25 2016Inspired by Bondarenko's counter-example to Borsuk's conjecture, we notice some strongly regular graphs that provide examples of ball packings whose chromatic numbers are significantly higher than the dimensions. In particular, from generalized quadrangles ... More

Angora: Efficient Fuzzing by Principled SearchMar 04 2018Mar 27 2018Fuzzing is a popular technique for finding software bugs. However, the performance of the state-of-the-art fuzzers leaves a lot to be desired. Fuzzers based on symbolic execution produce quality inputs but run slow, while fuzzers based on random mutation ... More

A new deformation family of Schwarz' D surfaceApr 04 2018We prove the existence of a new 2-parameter family o$\Delta$ of embedded triply periodic minimal surfaces of genus 3. The new surfaces share many properties with classical orthorhombic deformations of Schwarz' D surface, but also exotic in many ways. ... More

A Nonparametric Normality Test for High-dimensional DataApr 10 2019Many statistical methodologies for high-dimensional data assume the population normality. Although a few multivariate normality tests have been proposed, they either suffer from low power or have serious size distortion when the dimension is high. In ... More

Chiral geometry in multiple chiral doublet bandsJul 05 2015The chiral geometry of the multiple chiral doublet bands with identical configuration is discussed for different triaxial deformation parameters $\gamma$ in the particle rotor model with $\pi h_{11/2}\otimes \nu h_{11/2}^{-1}$. The energy spectra, electromagnetic ... More

Dynamical properties of hard-core anyons in one-dimensional optical latticesMay 29 2012We investigate the dynamical properties of anyons confined in one-dimensional optical lattice combined with a weak harmonic trap using the exact numerical method based on a generalized Jordan-Wigner transformation. The density profiles, momentum distribution, ... More

Minimum vertex covers and the spectrum of the normalized Laplacian on treesOct 20 2010May 05 2012We show that, in the graph spectrum of the normalized graph Laplacian on trees, the eigenvalue 1 and eigenvalues near 1 are strongly related to minimum vertex covers. In particular, for the eigenvalue 1, its multiplicity is related to the size of a minimum ... More

Competition brings out the best: Modeling the frustration between curvature energy and chain stretching energy of lyotropic liquid crystals in bicontinuous cubic phasesFeb 14 2017It is commonly considered that the frustration between the curvature energy and the chain stretching energy plays an important role in the formation of lyotropic liquid crystals in bicontinuous cubic phases. Theoretic and numeric calculations were performed ... More

Global well-posedness in the critical Besov spaces for the incompressible Oldroyd-B model without damping mechanismOct 15 2018We prove the global well-posedness in the critical Besov spaces for the incompressible Oldroyd-B model without damping mechanism on the stress tensor in $\mathbb{R}^d$ for the small initial data. Our proof is based on the observation that the behaviors ... More

Uniqueness of tangent cone for biharmonic map with isolated singularitySep 17 2018In this paper, we study the problem of uniqueness of tangent cone for minimizing extrinsic biharmonic maps. Following the celebrated result of Simon, we prove that if the target manifold is a compact analytic submanifold in R p and if there is one tangent ... More

A homotopy training algorithm for fully connected neural networksMar 23 2019In this paper, we present a Homotopy Training Algorithm (HTA) to solve optimization problems arising from fully connected neural networks with complicated structures. The HTA dynamically builds the neural network starting from a simplified version to ... More

Accelerating Nesterov's Method for Strongly Convex Functions with Lipschitz GradientSep 27 2011We modify Nesterov's constant step gradient method for strongly convex functions with Lipschitz continuous gradient described in Nesterov's book. Nesterov shows that $f(x_k) - f^* \leq L \prod_{i=1}^k (1 - \alpha_k) \| x_0 - x^* \|_2^2$ with $\alpha_k ... More

Learning Implicit Fields for Generative Shape ModelingDec 06 2018Dec 31 2018We advocate the use of implicit fields for learning generative models of shapes and introduce an implicit field decoder for shape generation, aimed at improving the visual quality of the generated shapes. An implicit field assigns a value to each point ... More

Asymptotic Distribution-Free Change-Point Detection for Multivariate and non-Euclidean DataJul 01 2017Feb 22 2018We consider the testing and estimation of change-points, locations where the distribution abruptly changes, in a sequence of multivariate or non-Euclidean observations. We study a nonparametric framework that utilizes similarity information among observations, ... More

Sequential Change-point Detection for High-dimensional and non-Euclidean DataOct 14 2018In many modern applications, high-dimensional/non-Euclidean data sequences are collected to study complicated phenomena over time and it is of scientific importance to detect anomaly events as the data are being collected. We studied a nonparametric framework ... More

Selectively Balancing Unit VectorsMay 17 2016Sep 13 2016A set $U$ of unit vectors is selectively balancing if one can find two disjoint subsets $U^+$ and $U^-$, not both empty, such that the Euclidean distance between the sum of $U^+$ and the sum of $U^-$ is smaller than $1$. We prove that the minimum number ... More

A general model for dynamic contact angle over full speed regimeJan 25 2019The prevailing models for advancing dynamic contact angle are under intensive debates, and the fitting performances are far from satisfying in practice. The present study proposes a model based on the recent understanding of the multi-scale structure ... More

Visualisation of financial time series by linear principal component analysis and nonlinear principal component analysisOct 29 2014In this dissertation, the main goal is visualisation of financial time series. We expect that visualisation of financial time series will be a useful auxiliary for technical analysis. Firstly, we review the technical analysis methods and test our trading ... More

Transferable Positive/Negative Speech Emotion Recognition via Class-wise Adversarial Domain AdaptationOct 30 2018Feb 14 2019Speech emotion recognition plays an important role in building more intelligent and human-like agents. Due to the difficulty of collecting speech emotional data, an increasingly popular solution is leveraging a related and rich source corpus to help address ... More

IntelligentCrowd: Mobile Crowdsensing via Multi-agent Reinforcement LearningSep 20 2018The prosperity of smart mobile devices has made mobile crowdsensing (MCS) a promising paradigm for completing complex sensing and computation tasks. In the past, great efforts have been made on the design of incentive mechanisms and task allocation strategies ... More

Another Proof of Oscar Rojo's TheoremsNov 15 2010We present here another proof of Oscar Rojo's theorems about the spectrum of graph Laplacian on certain balanced trees, by taking advantage of the symmetry properties of the trees in question, and looking into the eigenfunctions of Laplacian.

How to find G-admissible abelian coverings of a graph?Mar 15 2013Given a finite connected simple graph $\Gamma$, and a subgroup $G$ of its automorphism group, a general method for finding all finite abelian regular coverings of $\Gamma$ that admit a lift of each element of $G$ is developed. As an application, all connected ... More

An orthorhombic deformation family of Schwarz' H surfacesJul 26 2018The classical H surfaces of H. A. Schwarz form a 1-parameter family of triply periodic minimal surfaces (TPMS) that are usually described as close relatives to his more famous P surface. However, a crucial distinction between these surfaces is that the ... More

Learning Implicit Fields for Generative Shape ModelingDec 06 2018Apr 05 2019We advocate the use of implicit fields for learning generative models of shapes and introduce an implicit field decoder, called IM-NET, for shape generation, aimed at improving the visual quality of the generated shapes. An implicit field assigns a value ... More

New Explicit Binary Constant Weight Codes from Reed-Solomon CodesMay 25 2015Aug 07 2015Binary constant weight codes have important applications and have been studied for many years. Optimal or near-optimal binary constant weight codes of small lengths have been determined. In this paper we propose a new construction of explicit binary constant ... More

MagNet: a Two-Pronged Defense against Adversarial ExamplesMay 25 2017Sep 11 2017Deep learning has shown promising results on hard perceptual problems in recent years. However, deep learning systems are found to be vulnerable to small adversarial perturbations that are nearly imperceptible to human. Such specially crafted perturbations ... More

Graph-Based Change-Point DetectionSep 07 2012Aug 26 2014We consider the testing and estimation of change-points -- locations where the distribution abruptly changes -- in a data sequence. A new approach, based on scan statistics utilizing graphs representing the similarity between observations, is proposed. ... More

A Nonparametric Normality Test for High-dimensional DataApr 10 2019May 08 2019Many statistical methodologies for high-dimensional data assume the population normality. Although a few multivariate normality tests have been proposed, to the best of our knowledge, none of them can properly control the type I error when the dimension ... More

Identities involving weighted Catalan, Schroder and Motzkin pathsAug 08 2016Aug 16 2016In this paper, we investigate the weighted Catalan, Motzkin and Schr\"oder numbers together with the corresponding weighted paths. The relation between these numbers is illustrated by three equations, which also lead to some known and new interesting ... More

Limit Directions for Lorentzian Coxeter SystemsMar 06 2014Every Coxeter group admits a geometric representation as a group generated by reflections in a real vector space. In the projective representation space, limit directions are limits of injective sequences in the orbit of some base point. Limit roots are ... More

A new graph-based two-sample test for multivariate and object dataJul 24 2013Apr 17 2015Two-sample tests for multivariate data and especially for non-Euclidean data are not well explored. This paper presents a novel test statistic based on a similarity graph constructed on the pooled observations from the two samples. It can be applied to ... More

Antimagic orientations of disconnected even regular graphsOct 25 2018A $labeling$ of a digraph $D$ with $m$ arcs is a bijection from the set of arcs of $D$ to $\{1,2,\ldots,m\}$. A labeling of $D$ is $antimagic$ if no two vertices in $D$ have the same vertex-sum, where the vertex-sum of a vertex $u \in V(D)$ for a labeling ... More

A $q$-analogue of Wilson's congruenceApr 18 2019Let ${\mathcal C}_n$ be the set of all permutation cycles of length $n$ over $\{1,2,\ldots,n\}$. Let $${\mathfrak f}_n(q):=\sum_{\sigma\in{\mathcal C}_{n+1}}q^{{\mathrm maj}\,\sigma} $$ be a $q$-analogue of the factorial $n!$, where ${\mathrm maj}$ denotes ... More

Lorentzian Coxeter systems and Boyd-Maxwell ball packingsOct 31 2013Mar 17 2016In the recent study of infinite root systems, fractal patterns of ball packings were observed while visualizing roots in affine space. In this paper, we show that the observed fractals are exactly the ball packings described by Boyd and Maxwell. This ... More

Bounds for Odd $k$-Perfect NumbersFeb 22 2011Let $k\ge2$ be an integer. A natural number $n$ is called $k$-perfect if $\sigma(n)=kn.$ For any integer $r\ge1$ we prove that the number of odd $k$-perfect numbers with at most $r$ distinct prime factors is bounded by $k4^{r^3}$.

New multivariate tests for assessing covariate balance in matched observational studiesSep 13 2016Feb 27 2019We propose new tests for assessing whether covariates in a treatment group and matched control group are balanced in observational studies. The tests exhibit high power under a wide range of multivariate alternatives, some of which existing tests have ... More

Odd Multiperfect NumbersFeb 22 2011A natural number $n$ is called {\it multiperfect} or {\it$k$-perfect} for integer $k\ge2$ if $\sigma(n)=kn$, where $\sigma(n)$ is the sum of the positive divisors of $n$. In this paper, we establish the structure theorem of odd multiperfect numbers analogous ... More

Diophantine equations involving Euler's totient functionNov 01 2017In this paper, we consider the equations involving Euler's totient function $\phi$ and Lucas type sequences. In particular, we prove that the equation $\phi (x^m-y^m)=x^n-y^n$ has no solutions in positive integers $x, y, m, n$ except for the trivial solutions ... More

Topological thermal Hall effect for topological excitations in spin liquid: Emergent Lorentz force on the spinonsJan 06 2019We study the origin of Lorentz force on the spinons in a U(1) spin liquid. We are inspired by the previous observation of gauge field correlation in the pairwise spin correlation using the neutron scattering measurement when the Dzyaloshinskii-Moriya ... More

Strange Quark Stars as Probe of Dark MatterMar 24 2016Aug 14 2016We demonstrate that the observation of old strange quark stars (SQSs) can set important limits on the scattering cross sections $\sigma_q$ between the light quarks and the non-interacting scalar dark matter (DM). By analyzing a set of 1403 of solitary ... More

Entanglement Entropy in $T\overline{T}$-Deformed CFTJul 22 2018Aug 28 2018In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional $T\overline{T}$-deformed conformal field theory. For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT. We compute the correction ... More

The auxiliary function method for waveform based earthquake locationJun 17 2017This paper introduces the auxiliary function method (AFM), a novel, fast and simple approach for waveform based earthquake location. From any initial hypocenter and origin time, we can construct the auxiliary function, whose zero set contains the real ... More

Irreversible Markov chain Monte Carlo algorithm for self-avoiding walkFeb 04 2016Jan 02 2017We formulate an irreversible Markov chain Monte Carlo algorithm for the self-avoiding walk (SAW), which violates the detailed balance condition and satisfies the balance condition. Its performance improves significantly compared to that of the Berretti-Sokal ... More

Constraints on large-extra-dimensions model through 125 GeV Higgs pair production at the LHCNov 22 2012Based on the analysis of 5 fb^-1 of data at the LHC, the ATLAS and CMS collaborations have presented evidence for a Higgs boson with a mass in the 125 GeV range. We consider the 125 GeV neutral Higgs pair production process in the context of large-extra-dimensions ... More

Development of an Advanced Automated Method for Solar Filament Recognition and Its Scientific Application to a Solar Cycle of MLSO Hα\ DataMar 26 2013We developed a method to automatically detect and trace solar filaments in H\alpha\ full-disk images. The program is able not only to recognize filaments and determine their properties, such as the position, the area, the spine, and other relevant parameters, ... More

Witness to Detect The Genuine Multipartite Semiquantum for Arbitrary N Partite Quantum StateAug 21 2011Aug 23 2011we get a witness to detect the genuine multipartite semiquantum for arbitrary N partite quantum state.

Preparation of stable excited states in an optical lattice via sudden quantum quenchApr 14 2010Jun 30 2010We study how stable excited many-body states of the Bose-Hubbard model, including both the gas-like state for strongly attractive bosons and bound cluster state for repulsive bosons, can be produced with cold bosonic atoms in an one-dimensional optical ... More

Quantum dynamics of repulsively bound atom pairs in the Bose-Hubbard modelJan 21 2007Mar 25 2008We investigate the quantum dynamics of repulsively bound atom pairs in an optical lattice described by the periodic Bose-Hubbard model both analytically and numerically. In the strongly repulsive limit, we analytically study the dynamical problem by the ... More

On Optimal Ternary Locally Repairable CodesFeb 19 2017In an $[n,k,d]$ linear code, a code symbol is said to have locality $r$ if it can be repaired by accessing at most $r$ other code symbols. For an $(n,k,r)$ \emph{locally repairable code} (LRC), the minimum distance satisfies the well-known Singleton-like ... More

Disambiguating fine-grained place names from descriptions by clusteringAug 17 2018Everyday place descriptions often contain place names of fine-grained features, such as buildings or businesses, that are more difficult to disambiguate than names referring to larger places, for example cities or natural geographic features. Fine-grained ... More

Rényi Mutual Information in Holographic Warped CFTsApr 03 2019The study of R\'enyi mutual information (RMI) sheds light on the AdS/CFT correspondence beyond classical order. In this article, we study the R\'enyi mutual information between two intervals at large distance in two-dimensional holographic warped conformal ... More

Irreversible Markov chain Monte Carlo algorithm for the self-avoiding walkFeb 04 2016We design an irreversible Markov chain Monte Carlo algorithm for the self-avoiding walk (SAW). It outperforms the Berretti-Sokal algorithm. The gained efficiency increases with the spatial dimension, from about $10$ times in two dimensions to around $40$ ... More

Post-Newtonian Approximation of Teleparallel Gravity Coupled with a Scalar FieldOct 28 2014Mar 24 2015We use the parameterized post-Newtonian (PPN) formalism to explore the weak field approximation of teleparallel gravity non-minimally coupling to a scalar field $\phi$, with arbitrary coupling function $\omega(\phi)$ and potential $V(\phi)$. We find that ... More

ResumeVis: A Visual Analytics System to Discover Semantic Information in Semi-structured Resume DataMay 15 2017Massive public resume data emerging on the WWW indicates individual-related characteristics in terms of profile and career experiences. Resume Analysis (RA) provides opportunities for many applications, such as talent seeking and evaluation. Existing ... More

Cycle symmetry, limit theorems, and fluctuation theorems for diffusion processes on the circleNov 09 2013Apr 26 2017Cyclic structure and dynamics are of great interest in both the fields of stochastic processes and nonequilibrium statistical physics. In this paper, we find a new symmetry of the Brownian motion named as the quasi-time-reversal invariance. It turns out ... More

Measuring robustness of community structure in complex networksMar 27 2015The theory of community structure is a powerful tool for real networks, which can simplify their topological and functional analysis considerably. However, since community detection methods have random factors and real social networks obtained from complex ... More

Strongly Secure and Efficient Data Shuffle On Hardware EnclavesNov 12 2017Mitigating memory-access attacks on the Intel SGX architecture is an important and open research problem. A natural notion of the mitigation is cache-miss obliviousness which requires the cache-misses emitted during an enclave execution are oblivious ... More

Geo-referencing Place from Everyday Natural Language DescriptionsOct 09 2017Natural language place descriptions in everyday communication provide a rich source of spatial knowledge about places. An important step to utilize such knowledge in information systems is geo-referencing all the places referred to in these descriptions. ... More

Beyond the EM Algorithm: Constrained Optimization Methods for Latent Class ModelJan 09 2019Apr 20 2019Latent class model (LCM), which is a finite mixture of different categorical distributions, is one of the most widely used models in statistics and machine learning fields. Because of its non-continuous nature and the flexibility in shape, researchers ... More

Long Short-Term Memory Spatial Transformer NetworkJan 08 2019Spatial transformer network has been used in a layered form in conjunction with a convolutional network to enable the model to transform data spatially. In this paper, we propose a combined spatial transformer network (STN) and a Long Short-Term Memory ... More

Impact of Hadronic Decays of the Lightest Neutralino on the Reach of the CERN LHCAug 02 1996If $R$-parity is not conserved, the lightest supersymmetric particle (LSP) could decay via lepton number violating or baryon number violating interactions. The latter case is particularly insidious since it leads to a reduction of the $\eslt$ as well ... More

Closed-form solution for the edge vortex of a revolving plateDec 21 2016Oct 11 2018Flapping and revolving wings can produce attached leading edge vortices (LEVs) when the angle of attack is large. In this work, a low order model is proposed for the edge vortices that develop on a revolving plate at 90 degrees angle of attack which is ... More

An $O^*(1.84^k)$ Parameterized Algorithm for the Multiterminal Cut ProblemNov 17 2017We study the \emph{multiterminal cut} problem, which, given an $n$-vertex graph whose edges are integer-weighted and a set of terminals, asks for a partition of the vertex set such that each terminal is in a distinct part, and the total weight of crossing ... More

On Constructing the Analytical Solutions for Localizations in a Slender Cylinder Composed of an Incompressible Hyperelastic MaterialNov 19 2007In this paper, we study the localization phenomena in a slender cylinder composed of an incompressible hyperelastic material subjected to axial tension. We aim to construct the analytical solutions based on a three-dimensional setting and use the analytical ... More

Determining Phonon Mean Free Path Spectrum by Ballistic Phonon Resistance within a Nanoslot-Patterned Thin FilmApr 18 2019At micro- to nano-scales, classical size effects in heat conduction play an important role in suppressing the thermal transport process. Such effects occur when the characteristic lengths become commensurate to the mean free paths (MFPs) of heat carriers ... More

Black hole entropy arising from massless scalar field with Lorentz violation induced by the coupling to Einstein tensorNov 06 2015Nov 13 2015We have investigated quantum entropy of a static black hole arising from the massless scalar field with Lorentz violation induced by the coupling to Einstein tensor. Our results show that the coupled massless scalar field contributes to the classical ... More

Absorption cross section and Hawking radiation of the electromagnetic field with Weyl correctionsDec 04 2013Dec 19 2013We have investigated the absorption cross section and the Hawking radiation of electromagnetic field with Weyl correction in the background of a four-dimensional Schwarzschild black hole spacetime. Our results show that the properties of the absorption ... More

Automated Detection Methods for Solar Activities and an Application for Statistic Analysis of Solar FilamentApr 10 2018With the rapid development of telescopes, both temporal cadence and the spatial resolution of observations are increasing. This in turn generates vast amount of data, which can be efficiently searched only with automated detections in order to derive ... More

On the asymptotic variance of reversible Markov chain without cyclesDec 11 2017Markov chain Monte Carlo(MCMC) is a popular approach to sample from high dimensional distributions, and the asymptotic variance is a commonly used criterion to evaluate the performance. While most popular MCMC algorithms are reversible, there is a growing ... More

Locally Repairable Codes with Multiple $(r_{i}, δ_{i})$-LocalitiesFeb 19 2017May 02 2017In distributed storage systems, locally repairable codes (LRCs) are introduced to realize low disk I/O and repair cost. In order to tolerate multiple node failures, the LRCs with \emph{$(r, \delta)$-locality} are further proposed. Since hot data is not ... More

Gauge theory on $Z_2 \times Z_2 \ti Z_2 $ Discrete Group and a Spontaneous $CP$ Violation Toy ModelAug 29 1994In the spirit of Non-commutative differential calculus on discrete group, we construct a toy model of spontaneous $CP$ violation (SCPV). Our model is different from the well-known Weinberg-Branco model although it involves three Higgs doublets and preserve ... More

$ε$-Strong Simulation of Fractional Brownian Motion and Related Stochastic Differential EquationsFeb 21 2019Consider the fractional Brownian Motion (fBM) $B^H=\{B^H(t): t \in [0,1] \}$ with Hurst index $H\in (0,1)$. We construct a probability space supporting both $B^H$ and a fully simulatable process $\hat B_{\epsilon}^H $ such that $$\sup_{t\in [0,1]}|B^H(t)-\hat ... More

Design and Optimization of VoD schemes with Client Caching in Wireless Multicast NetworksAug 10 2017Due to the explosive growth in multimedia traffic, the scalability of video-on-demand (VoD) services becomes increasingly important. By exploiting the potential cache ability at the client side, the performance of VoD multicast delivery can be improved ... More

Criteria For $K$-Separability Of Multipartite Quantum StateMar 25 2011We derive criteria for $k$-separability of multipartite Quantum state

Semantic-Aware Generative Adversarial Nets for Unsupervised Domain Adaptation in Chest X-ray SegmentationJun 02 2018Jun 05 2018In spite of the compelling achievements that deep neural networks (DNNs) have made in medical image computing, these deep models often suffer from degraded performance when being applied to new test datasets with domain shift. In this paper, we present ... More

Optimization on fixed low latency implementation of GBT protocol in FPGAAug 29 2016Jun 22 2017In the upgrade of ATLAS experiment, the front-end electronics components are subjected to a large radiation background. Meanwhile high speed optical links are required for the data transmission between the on-detector and off-detector electronics. The ... More

A GPU Poisson-Fermi Solver for Ion Channel SimulationsNov 11 2017The Poisson-Fermi model is an extension of the classical Poisson-Boltzmann model to include the steric and correlation effects of ions and water treated as nonuniform spheres in aqueous solutions. Poisson-Boltzmann electrostatic calculations are essential ... More

On Fermionic T-duality of Sigma modes on AdS backgroundsSep 30 2009Dec 22 2009We study the fermionic T-duality symmetry of integrable Green-Schwarz sigma models on AdS backgrounds. We show that the sigma model on $AdS_5\times S^1$ background is self-dual under fermionic T-duality. We also construct new integrable sigma models on ... More

On the Mutual Information in Conformal Field TheoryApr 12 2017Apr 25 2017In this work, we study the universal behaviors in the mutual information of two disjoint spheres in a conformal field theory(CFT). By using the operator product expansion of the spherical twist operator in terms of the conformal family, we show that the ... More

The quadratic Wasserstein metric for earthquake locationOct 28 2017In [Engquist et al., Commun. Math. Sci., 14(2016)], the Wasserstein metric was successfully introduced to the full waveform inversion. We apply this method to the earthquake location problem. For this problem, the seismic stations are far from each other. ... More

Optimization on fixed low latency implementation of GBT protocol in FPGAAug 29 2016Sep 16 2016For accelerator physics experiment, the Front-End (FE) electronics components are subjected to a radiation background. GigaBit Transceiver (GBT) architecture is a protocol developed by CERN, to provide high-speed (4.8 Gbps) radiation hard optical link ... More

Explaining Neural Networks Semantically and QuantitativelyDec 18 2018This paper presents a method to explain the knowledge encoded in a convolutional neural network (CNN) quantitatively and semantically. The analysis of the specific rationale of each prediction made by the CNN presents a key issue of understanding neural ... More

Electricity Consumption Forecasting for Smart Grid using the Multi-Factor Back-Propagation Neural NetworkFeb 27 2019With the development of modern information technology (IT), a smart grid has become one of the major components of smart cities. To take full advantage of the smart grid, the capability of intelligent scheduling and planning of electricity delivery is ... More

Dynamical Origin of the Correlation between the Asymmetries $A_{FB}^t$ and $A_{FB}^{\ell}$Nov 15 2011A larger than expected forward-backward asymmetry in rapidity is observed in top quark pairs produced in proton-antiproton collisions at the Tevatron. The asymmetry is seen in both the top quark distribution $A_{FB}^t$ and in the distribution of charged ... More

Coupled spin-1/2 ladders as microscopic models for non-Abelian chiral spin liquidsNov 08 2016We construct a two-dimensional (2D) lattice model that is argued to realize a gapped chiral spin liquid with (Ising) non-Abelian topological order. The building blocks are spin-1/2 two-leg ladders with $SU(2)$-symmetric spin-spin interactions. The two-leg ... More

Non-Abelian topological spin liquids from arrays of quantum wires or spin chainsJan 06 2016Jan 28 2016We construct two-dimensional non-Abelian topologically ordered states by strongly coupling arrays of one-dimensional quantum wires via interactions. In our scheme, all charge degrees of freedom are gapped, so the construction can use either quantum wires ... More

BranchGAN: Branched Generative Adversarial Networks for Scale-Disentangled Learning and Synthesis of ImagesMar 22 2018Nov 28 2018We introduce BranchGAN, a novel training method that enables unconditioned generative adversarial networks (GANs) to learn image manifolds at multiple scales. The key novel feature of BranchGAN is that it is trained in multiple branches, progressively ... More

Existence of the rhombohedral and tetragonal deformation families of the gyroidJan 13 2019We provide an existence proof for two 1-parameter families of triply periodic minimal surfaces of genus three, namely the tG family with tetragonal symmetry that contains the gyroid, and the rGL family with rhombohedral symmetry that contains the gyroid ... More

Minimal rPD-Twin SurfacesOct 25 2016We study a $2$-parameter family of minimal surfaces with twin structure, namely the rPD-twin surfaces. A (polysynthetic) rPD-twin surface can be seen as copies of an rPD-surface that are symmetric about parallel mirrors. Candidates of rPD-twin surfaces ... More

Existence of the tetragonal and rhombohedral deformation families of the gyroidJan 13 2019Feb 15 2019We provide an existence proof for two 1-parameter families of triply periodic minimal surfaces of genus three, namely the tG family with tetragonal symmetry that contains the gyroid, and the rGL family with rhombohedral symmetry that contains the gyroid ... More

Syzygies Probing Scattering AmplitudesNov 03 2015Sep 30 2016We propose a new efficient algorithm to obtain the locally minimal generating set of the syzygies for an ideal, i.e. a generating set whose proper subsets cannot be generating sets. Syzygy is a concept widely used in the current study of scattering amplitudes. ... More

Detecting Statistically Significant CommunitiesJun 11 2018Community detection is a key data analysis problem across different fields. During the past decades, numerous algorithms have been proposed to address this issue. However, most work on community detection does not address the issue of statistical significance. ... More