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Reliable Electrical Switching of Tri-State Antiferromagnetic Néel Order in $α$-Fe$_2$O$_3$ Epitaxial FilmsJun 11 2019The ability to manipulate antiferromagnetic (AF) moments is a key requirement for the emerging field of antiferromagnetic spintronics. Electrical switching of bi-state AF moments has been demonstrated in metallic AFs, CuMnAs and Mn$_2$Au. Recently, current-induced ... More

Anisotropic Magnetoresistance and Nontrivial Spin Magnetoresistance in Pt/$α$-Fe$_2$O$_3$ Bilayers: Evidence for Antiferromagnetic Proximity EffectJun 11 2019To date, magnetic proximity effect (MPE) has only been conclusively observed in ferromagnet (FM) based systems. We report the observation of anomalous Hall effect and anisotropic magnetoresistance in angular dependent magnetoresistance (ADMR) measurements ... More

Three-Dimensional Imaging of Individual Point Defects Using Selective Detection Angles in Annular Dark Field Scanning Transmission Electron MicroscopyJul 09 2016We propose a new scanning transmission electron microscopy (STEM) technique that can realize the three-dimensional (3D) characterization of vacancies, lighter and heavier dopants with high precision. Using multislice STEM imaging and diffraction simulations ... More

Four dimensional static and related critical spaces with harmonic curvatureApr 12 2016In this article we study any 4-dimensional Riemannian manifold $(M,g)$ with harmonic curvature which admits a smooth nonzero solution $f$ to the following equation \begin{eqnarray} \label{0002bx} \nabla df = f(Rc -\frac{R}{n-1} g) + x Rc+ y(R) g. \end{eqnarray} ... More

Three dimensional m-quasi Einstein manifolds with degenerate Ricci tensorDec 11 2017In this article we give a classification of three dimensional m-quasi Einstein manifolds with two distinct Ricci-eigen values. Our study provides explicit description of local and complete metrics and potential functions. We also describe the associated ... More

Max-Product Belief Propagation for Linear Programming: Applications to Combinatorial OptimizationDec 16 2014Jun 28 2017The max-product {belief propagation} (BP) is a popular message-passing heuristic for approximating a maximum-a-posteriori (MAP) assignment in a joint distribution represented by a graphical model (GM). In the past years, it has been shown that BP can ... More

F. John's stability conditions vs. A. Carasso's SECB constraint for backward parabolic problemsJan 29 2009Feb 10 2009In order to solve backward parabolic problems F. John [{\it Comm. Pure. Appl. Math.} (1960)] introduced the two constraints "$\|u(T)\|\le M$" and $\|u(0) - g \| \le \delta$ where $u(t)$ satisfies the backward heat equation for $t\in(0,T)$ with the initial ... More

Learning What and Where to TransferMay 15 2019As the application of deep learning has expanded to real-world problems with insufficient volume of training data, transfer learning recently has gained much attention as means of improving the performance in such small-data regime. However, when existing ... More

Nanoscale Quantification of Octahedral Tilts in Perovskite FilmsApr 26 2012NiO6-octahedral tilts in ultrathin LaNiO3 films were studied using position averaged convergent beam electron diffraction (PACBED) in scanning transmission electron microscopy. Both the type and magnitude of the octahedral tilts were determined by comparing ... More

FEMSIM+HRMC: Simulation of and Structural Refinement using Fluctuation Electron Microscopy for Amorphous MaterialsJul 14 2016FEMSIM, a Fortran code, has been developed to simulate the fluctuation electron microscopy signal, the variance, V(k), from a model atomic structure. FEMSIM has been incorporated into a hybrid-reverse Monte Carlo code that combines an embedded atom or ... More

Confident Multiple Choice LearningJun 12 2017Sep 22 2017Ensemble methods are arguably the most trustworthy techniques for boosting the performance of machine learning models. Popular independent ensembles (IE) relying on naive averaging/voting scheme have been of typical choice for most applications involving ... More

Flopping and Slicing: SO(4) and Spin(4)-modelsFeb 13 2018We study the geometric engineering of gauge theories with gauge group Spin(4) and SO(4) using crepant resolutions of Weierstrass models. The corresponding elliptic fibrations realize a collision of singularities corresponding to two fibers with dual graph ... More

Characteristic numbers of elliptic fibrations with non-trivial Mordell-Weil groupsAug 21 2018We compute characteristic numbers of elliptically fibered fourfolds with multisections or non-trivial Mordell-Weil groups. We first consider the models of type E$_{9-d}$ with $d=1,2,3,4$ whose generic fibers are normal elliptic curves of degree $d$. We ... More

MCMC assisted by Belief PropagaionMay 29 2016Sep 02 2016Markov Chain Monte Carlo (MCMC) and Belief Propagation (BP) are the most popular algorithms for computational inference in Graphical Models (GM). In principle, MCMC is an exact probabilistic method which, however, often suffers from exponentially slow ... More

Low-resistance GaN tunnel homojunctions with 150 kA/cm^2 current and repeatable negative differential resistanceJan 17 2016Feb 09 2016We report GaN n++/p++ interband tunnel junctions with repeatable negative differential resistance and low resistance. Reverse and forward tunneling current densities were observed to increase as Si and Mg doping concentrations were increased. Hysteresis-free, ... More

Magnetism and local structure in low-dimensional, Mott insulating GdTiO3Sep 06 2013Cation displacements, oxygen octahedral tilts, and magnetism of epitaxial, ferrimagnetic, insulating GdTiO3 films sandwiched between cubic SrTiO3 layers are studied using scanning transmission electron microscopy and magnetization measurements. With decreasing ... More

Structural origins of the properties of rare earth nickelate superlatticesJan 30 2013NiO6 octahedral tilts in the LaNiO3/SrTiO3 superlattices are quantified using position averaged convergent beam electron diffraction in scanning transmission electron microscopy. It is shown that maintaining oxygen octahedra connectivity across the interface ... More

Toward an artificial Mott insulator: Correlations in confined, high-density electron liquids in SrTiO3Oct 28 2012We investigate correlation physics in high-density, two-dimensional electron liquids that reside in narrow SrTiO3 quantum wells. The quantum wells are remotely doped via an interfacial polar discontinuity and the three-dimensional (3D) carrier density ... More

Beamforming for Full-Duplex Multiuser MIMO SystemsJun 27 2016We solve a sum rate maximization problem of full-duplex (FD) multiuser multiple-input multiple-output (MU-MIMO) systems. Since additional self-interference (SI) in the uplink channel and co-channel interference (CCI) in the downlink channel are coupled ... More

MCMC assisted by Belief PropagaionMay 29 2016Oct 24 2016Markov Chain Monte Carlo (MCMC) and Belief Propagation (BP) are the most popular algorithms for computational inference in Graphical Models (GM). In principle, MCMC is an exact probabilistic method which, however, often suffers from exponentially slow ... More

Holographic Relative Entropy in Infinite-dimensional Hilbert SpacesNov 13 2018We reformulate entanglement wedge reconstruction in the language of operator-algebra quantum error correction with infinite-dimensional physical and code Hilbert spaces. Von Neumann algebras are used to characterize observables in a boundary subregion ... More

The Geometry of G$_2$, Spin(7), and Spin(8)-modelsSep 14 2017We study the geometry of elliptic fibrations given by Weierstrass models resulting from Step 6 of Tate's algorithm. Such elliptic fibrations have a discriminant locus containing an irreducible component $S$, over which the generic fiber is of Kodaira ... More

Euler Characteristics of Crepant Resolutions of Weierstrass ModelsMar 01 2017Jun 06 2019Based on an identity of Jacobi, we prove a simple formula that computes the pushforward of analytic functions of the exceptional divisor of a blowup of a projective variety along a smooth complete intersection with normal crossing. We apply this pushforward ... More

MCMC assisted by Belief PropagaionMay 29 2016Nov 09 2016Markov Chain Monte Carlo (MCMC) and Belief Propagation (BP) are the most popular algorithms for computational inference in Graphical Models (GM). In principle, MCMC is an exact probabilistic method which, however, often suffers from exponentially slow ... More

The Geometry of F$_4$-ModelsApr 26 2017We study the geometry of elliptic fibrations satisfying the conditions of Step 8 of Tate's algorithm. We call such geometries F$_4$-models, as the dual graph of their special fiber is the twisted affine Dynkin diagram $\widetilde{\text{F}}_4^t$. These ... More

Stochastic Chebyshev Gradient Descent for Spectral OptimizationFeb 18 2018Oct 30 2018A large class of machine learning techniques requires the solution of optimization problems involving spectral functions of parametric matrices, e.g. log-determinant and nuclear norm. Unfortunately, computing the gradient of a spectral function is generally ... More

Gauging Variational InferenceMar 03 2017Sep 12 2017Computing partition function is the most important statistical inference task arising in applications of Graphical Models (GM). Since it is computationally intractable, approximate methods have been used to resolve the issue in practice, where mean-field ... More

First-principles study of substitutional carbon pair and Stone-Wales defect complexes in boron nitride nanotubesDec 23 2011Using density functional theory, we study physical properties of boron nitride nanotubes (BNNTs) with the substitutional carbon pair defect. We also consider the Stone-Wales (SW) rearrangement of the C-C pair defect in the BNNT. The formation energy of ... More

Tight-binding approach to understand photoelectron intensity from graphene for circularly polarized lightApr 25 2015We have investigated the effect of imperfect circular polarization on the angle-resolved photoemission spectroscopy signal, using graphene as a prototypical system that can be understood within tight-binding formalism. We found that perfect left- and ... More

Learning to Quantize Deep Networks by Optimizing Quantization Intervals with Task LossAug 17 2018Nov 23 2018Reducing bit-widths of activations and weights of deep networks makes it efficient to compute and store them in memory, which is crucial in their deployments to resource-limited devices, such as mobile phones. However, decreasing bit-widths with quantization ... More

Interband Tunneling for Hole Injection in III-Nitride Ultra-violet EmittersFeb 07 2015Ultra-violet emitters have several applications in the areas of sensing, water purification, and data storage. While the III-Nitride semiconductor system has the band gap region necessary for ultraviolet emission, achieving efficient ultraviolet solid ... More

Outlining an elegant solver for 3-SATMay 13 2009Apr 11 2011The purpose of this article is to incite clever ways to attack problems. It advocates in favor of more elegant algorithms, in place of brute force (albeit its very well crafted) usages.

X-ray Observations of Young Supernova RemnantsFeb 08 2001This brief review of recent X-ray observations of young supernova remnants highlights results obtained by the Chandra and XMM Newton Observatories since their launch last year. Their impressive capabilities are illustrated by results for spectral imaging, ... More

The semi-infinite cohomology of affine Lie algebrasAug 19 1997We study in detail the semi-infinite or BRST cohomology of general affine Lie algebras. This cohomology is relevant in the BRST approach to gauged WZNW models. We prove the existence of an infinite sequence of elements in the cohomology for non-zero ghost ... More

Unitarity of strings and non-compact Hermitian symmetric spacesJun 05 1998Jun 23 1998If G is a simple non-compact Lie group, with K its maximal compact subgroup, such that K contains a one-dimensional center C, then the coset space G/K is an Hermitian symmetric non-compact space. SL(2,R)/U(1) is the simplest example of such a space. It ... More

A complete characterization of the blow-up solutions to discrete $p$-Laplacian parabolic equations with $q$-reaction under the mixed boundary conditionsJan 10 2019In this paper, we consider discrete $p$-Laplacian parabolic equations with $q$-reaction term under the mixed boundary condition and the initial condition as follows: \begin{equation*} \begin{cases} u_{t}\left(x,t\right) = \Delta_{p,\omega} u\left(x,t\right) ... More

On a classification of the automorphism groups of polarized abelian surfaces over finite fieldsSep 17 2018We give a classification of maximal elements of the set of finite groups that can be realized as the full automorphism groups of polarized abelian surfaces over finite fields.

Almost sure local wellposedness of energy critical fractional Schrödinger equations with hartree nonlinearityApr 24 2015Apr 28 2015We consider a Cauchy problem of energy-critical fractional Schr\"odinger equation with Hartree nonlinearity below the energy space. Using a method of randomization of functions on $\mathbb{R}^d$ associated with the Wiener decomposition, introduced by ... More

Computational Power and the Social Impact of Artificial IntelligenceMar 23 2018Machine learning is a computational process. To that end, it is inextricably tied to computational power - the tangible material of chips and semiconductors that the algorithms of machine intelligence operate on. Most obviously, computational power and ... More

Bitcoin vs. Bitcoin Cash: Coexistence or Downfall of Bitcoin Cash?Feb 28 2019In Aug. 2017, Bitcoin was split into the original Bitcoin (BTC) and Bitcoin Cash (BCH). Since then, miners have had a choice between BTC and BCH mining because they have compatible proof-of-work algorithms. Therefore, they can freely choose which coin ... More

Three-dimensional Ricci-degenerate Riemannian manifolds satisfying geometric equationsJan 01 2018Mar 09 2018In this paper, we study a three-dimensional Ricci-degenerate Riemannian manifold $(M^3,g)$ that admits a smooth nonzero solution $f$ to the equation \begin{align} \label{a1a} \nabla df=\psi Rc+\phi g, \end{align} where $\psi,\phi$ are given smooth functions ... More

Dimensionality Decrease Heuristics for NP Complete ProblemsApr 11 2011The vast majority of scientific community believes that P!=NP, with countless supporting arguments. The number of people who believe otherwise probably amounts to as few as those opposing the 2nd Law of Thermodynamics. But isn't nature elegant enough, ... More

Automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fieldsJan 12 2019We prove that the automorphism groups of simple polarized abelian varieties of odd prime dimension over finite fields are cyclic, and give a complete list of finite groups that can be realized as such automorphism groups.

Fluctuation Theorem of Information Exchange within an Ensemble of Paths Conditioned on Correlated-MicrostatesMay 08 2019Fluctuation theorems are a class of equalities that express universal properties of the probability distribution of a fluctuating path functional such as heat, work or entropy production over an ensemble of trajectories during a non-equilibrium process ... More

Fluctuation Theorem of Information Exchange between Subsystems that Co-Evolve in TimeMar 25 2019Sagawa and Ueda established a fluctuation theorem of information exchange by revealing the role of correlations in stochastic thermodynamics and unified the non-equilibrium thermodynamics of measurement and feedback control [T. Sagawa and M. Ueda, Phys. ... More

Origin of Extended Star ClustersFeb 08 2012We have discovered new extended star clusters (ESCs) in a nearby dIrr galaxy NGC 6822. These clusters are the nearest sample of ESCs available to date. The key characteristic of ESCs is their large size compared to typical globular clusters even though ... More

Three-dimensional Ricci-degenerate Riemannian manifolds satisfying geometric equationsJan 01 2018In this paper, we study a three dimensional Ricci-degenerate Riemannian manifold $(M^3,g)$ which admits a smooth nonzero solution $f$ to the following equation: \begin{align} \label{a1a} \nabla df=\psi(f)Rc+\phi(f)g, \end{align} where $Rc$ is the Ricci ... More

The Complexity of Approximating a Bethe EquilibriumSep 08 2011Mar 21 2013This paper resolves a common complexity issue in the Bethe approximation of statistical physics and the Belief Propagation (BP) algorithm of artificial intelligence. The Bethe approximation and the BP algorithm are heuristic methods for estimating the ... More

On the classification of 4-dimensional $(m,ρ)$-quasi-Einstein manifolds with harmonic Weyl curvatureJun 05 2016In this paper we study 4-dimensional $(m,\rho)$-quasi-Einstein manifolds with harmonic Weyl curvature when $m\notin\{0,\pm1,-2,\pm\infty\}$ and $\rho\notin\{\frac{1}{4},\frac{1}{6}\}$. We prove that a non-trivial $(m,\rho)$-quasi-Einstein metric $g$ (not ... More

A New Model for Elliptic Fibrations with a Rank One Mordell-Weil Group: I. Singular Fibers and Semi-Stable DegenerationsSep 30 2014We introduce a new model for elliptic fibrations endowed with a Mordell-Weil group of rank one. We call it a Q$_7(\mathscr{L},\mathscr{S})$ model. It naturally generalizes several previous models of elliptic fibrations popular in the F-theory literature. ... More

Minimum Weight Perfect Matching via Blossom Belief PropagationSep 23 2015Max-product Belief Propagation (BP) is a popular message-passing algorithm for computing a Maximum-A-Posteriori (MAP) assignment over a distribution represented by a Graphical Model (GM). It has been shown that BP can solve a number of combinatorial optimization ... More

Near Optimality in Covering and Packing Games by Exposing Global InformationSep 16 2011Covering and packing problems can be modeled as games to encapsulate interesting social and engineering settings. These games have a high Price of Anarchy in their natural formulation. However, existing research applicable to specific instances of these ... More

Improved Mixing Condition on the Grid for Counting and Sampling Independent SetsMay 04 2011Aug 12 2011We study the hard-core model defined on independent sets, where each independent set I in a graph G is weighted proportionally to $\lambda^{|I|}$, for a positive real parameter $\lambda$. For large $\lambda$, computing the partition function (namely, ... More

Simplified Stochastic Feedforward Neural NetworksApr 11 2017It has been believed that stochastic feedforward neural networks (SFNNs) have several advantages beyond deterministic deep neural networks (DNNs): they have more expressive power allowing multi-modal mappings and regularize better due to their stochastic ... More

Hidden Complexity in the Isomerization Dynamics of Holliday JunctionsNov 04 2012A plausible consequence of rugged energy landscapes of biomolecules is that functionally competent folded states may not be unique, as is generally assumed. Indeed, molecule-to-molecule variations in the dynamics of enzymes and ribozymes under folding ... More

Cosets as gauge slices in SU(1,1) stringsOct 15 1991We consider a string theory based on an SU(1,1) Wess-Zumino-Novikov-Witten model and an arbitrary unitary conformal fild theory. We show that the solutions of the Virasoro conditions, in the unitarity regime of the SU(1,1) theory, are states which lie ... More

Quantum fluctuations of Cosmological Perturbations in Generalized GravityJul 24 1996Recently, we presented a unified way of analysing classical cosmological perturbation in generalized gravity theories. In this paper, we derive the perturbation spectrums generated from quantum fluctuations again in unified forms. We consider a situation ... More

Evolution of Structures in Generalized Gravity TheoriesMay 12 1996A broad class of generalized Einstein's gravity can be cast into Einstein's gravity with a minimally coupled scalar field using suitable conformal rescaling of the metric. Using this conformal equivalence between the theories, we derive the equations ... More

High Current Density 2D/3D Esaki Tunnel DiodesJun 02 2016The integration of two-dimensional materials such as transition metal dichalcogenides with bulk semiconductors offer interesting opportunities for 2D/3D heterojunction-based novel device structures without any constraints of lattice matching. By exploiting ... More

Modulation-doped beta-(Al0.2Ga0.8)2O3/Ga2O3 Field-Effect TransistorJun 28 2017Modulation-doped heterostructures are a key enabler for realizing high mobility and better scaling properties for high performance transistors. We report the realization of modulation-doped two-dimensional electron gas (2DEG) at beta(Al0.2Ga0.8)2O3/ Ga2O3 ... More

High Mobility 2DEG in modulation-doped \b{eta}-(AlxGa1-x)2O3/Ga2O3 heterostructuresFeb 13 2018Beta-phase Ga2O3 has emerged as a promising candidate for a wide range of device applications, including power electronic devices, radio-frequency devices and solar-blind photodetectors. The wide bandgap energy and the predicted high breakdown field, ... More

Reflective Metal/Semiconductor Tunnel Junctions for Hole Injection in AlGaN UV LEDsMay 19 2017In this work, we investigate the use of nanoscale polarization engineering to achieve efficient hole injection from metals to ultra-wide band gap AlGaN, and we show that UV-reflective aluminum (Al) layers can be used for hole injection into p-AlGaN. The ... More

Molecular Beam Epitaxy of 2D-layered Gallium Selenide on GaN substratesOct 20 2016Large area epitaxy of two-dimensional (2D) layered materials with high material quality is a crucial step in realizing novel device applications based on 2D materials. In this work, we report high-quality, crystalline, large-area gallium selenide (GaSe) ... More

Constructions of singular rational surfaces of Picard number one with ample canonical divisorJul 12 2010Koll\'ar gave a series of examples of rational surfaces of Picard number $1$ with ample canonical divisor having cyclic singularities. In this paper, we construct several series of new examples in a geometric way, i.e., by blowing up several times inside ... More

Study of quark distribution amplitudes of 1S and 2S heavy quarkonium statesNov 05 2008May 21 2009In this paper, the quark distribution amplitudes of 1S and 2S heavy quarkonium states are studied in terms of Gaussian-type wave functions. The transverse momenta $p_\perp$ integrals of the formulae for the decay constant are performed analytically. Then ... More

Interacting Monomer-Dimer Model with Infinitely Many Absorbing StatesSep 03 1998We study a modified version of the interacting monomer-dimer (IMD) model that has infinitely many absorbing (IMA) states. Unlike all other previously studied models with IMA states, the absorbing states can be divided into two equivalent groups which ... More

Infiltration through porous mediaSep 06 2000We study the kinetics of infiltration in which contaminant particles, which are suspended in a flowing carrier fluid, penetrate a porous medium. The progress of the ``invader'' particles is impeded by their trapping on active ``defender'' sites which ... More

Character-Level Incremental Speech Recognition with Recurrent Neural NetworksJan 25 2016Jan 28 2016In real-time speech recognition applications, the latency is an important issue. We have developed a character-level incremental speech recognition (ISR) system that responds quickly even during the speech, where the hypotheses are gradually improved ... More

The Dirichlet boundary problem for second order parabolic operators satisfying Carleson conditionFeb 01 2014Oct 28 2016We establish $L^p$, $2\le p\le\infty$ solvability of the Dirichlet boundary value problem for a parabolic equation $u_t-\mbox{div}(A\nabla u)=0$ on time-varying domains with coefficient matrix $A=(a_{ij})$ that satisfy a small Carleson condition. The ... More

Accurate Lung Segmentation via Network-Wise Training of Convolutional NetworksAug 02 2017We introduce an accurate lung segmentation model for chest radiographs based on deep convolutional neural networks. Our model is based on atrous convolutional layers to increase the field-of-view of filters efficiently. To improve segmentation performances ... More

Gauged non-compact WZNW models, revisitedNov 02 2009Feb 04 2010The purpose of the present paper is to investigate the necessary conditions for unitarity of the spectrum of non-compact gauged WZNW models to some depth. In particular, we would like to investigate the necessity of integer weights and level. We will ... More

Mori geometry meets Cartan geometry: Varieties of minimal rational tangentsJan 20 2015We give an introduction to the theory of varieties of minimal rational tangents, emphasizing its aspect as a fusion of algebraic geometry and differential geometry, more specifically, a fusion of Mori geometry of minimal rational curves and Cartan geometry ... More

Formation of Partially Dark-Matter GalaxiesMar 07 2012Jan 13 2016The problem of galactic formation and evolution should be solved on the basis of the Standard Model of particle physics. We believe that we live in the quantum 4-dimensional Minkowski space-time with the force-fields gauge-group structure SU_c(3) \times ... More

What happened to the Cosmological QCD Phase Transition?May 29 2007The scenario that some first-order phase transitions may have taken place in the early Universe offers us one of the most intriguing and fascinating questions in cosmology. Indeed, the role played by the latent "heat" or energy released in the phase transition ... More

Energetic costs, precision, and efficiency of a biological motor in cargo transportOct 10 2017Jun 06 2019Molecular motors play pivotal roles in organizing the interior of cells. A motor efficient in cargo transport would move along cytoskeletal filaments with a high speed and a minimal error in transport distance (or time) while consuming a minimal amount ... More

A reciprocal sum related to the Riemann zeta function at s=6Sep 23 2017We introduce an explicit formula for a reciprocal sum related to the Riemann zeta function at s=6, and pose one question related to a computational formula for larger values of s.

Frame-based Approach for Sparse Representation of Signal Decomposition and ReconstructionMar 31 2016Apr 07 2017Frame is the corner stone for designing decomposition and reconstruction operations in signal processing. Famous frames include wavelets, curvelets,and Gabor. A celebrated result indicates that if a synthesis frame is chosen for reconstruction, then its ... More

The Standard ModelApr 17 2013Aug 25 2017We declare that we live in the quantum 4-dimensional Minkowski space-time with, via the gauge principle, the force-fields gauge-group structure, $SU_c(3) \times SU_L(2) \times U(1)$ applied to the quark world or $SU_L(2) \times U(1) \times SU_f(3)$ applied ... More

An Anatomy of Neutrino OscillationsSep 25 2012Nov 03 2015We ponder about neutrino oscillations; a particle without a clear identity, a neutrino of a given flavor in fact does not satisfy the Dirac equation (which is used to define the mass eigen-states and mass eigen-values). This alters the basic treatment ... More

Single stream parallelization of generalized LSTM-like RNNs on a GPUMar 10 2015Recurrent neural networks (RNNs) have shown outstanding performance on processing sequence data. However, they suffer from long training time, which demands parallel implementations of the training procedure. Parallelization of the training algorithms ... More

Quark Helicity and Transversity DistributionsOct 20 2016The quark transversity distribution inside nucleon is less understood than the quark unpolarized and helicity distributions inside nucleon. In particular, it is important to know clearly why the quark helicity and transversity distributions are different. ... More

Analyses of decay constants and light-cone distribution amplitudes for s-wave heavy mesonMar 04 2010Jun 17 2010In this paper, a study of light-cone distribution amplitudes (LCDAs) for $s$-wave heavy meson are presented in both general and heavy quark frameworks. Within the light-front approach, the leading twist light-cone distribution amplitudes, $\phi_M(u)$, ... More

Factorization of the 3d superconformal index with an adjoint matterJun 12 2015We work out the factorization of the 3d superconformal index for N = 2 $U(N_c)$ gauge theory withone adjoint chiral multiplet as well as $N_f$ fundamental, $N_a$ anti-fundamental chiral multiplets. Using the factorization,one can prove the Seiberg-like ... More

Study of light-cone distribution amplitudes for p-wave heavy mesonsSep 21 2012Nov 07 2012In this paper, a study of light-cone distribution amplitudes for p-wave heavy mesons is presented in both general and heavy quark frameworks. Within the light-front approach, the leading twist light-cone distribution amplitudes, \phi_M(u) and their relevant ... More

A consistent treatment for pion form factors in space-like and time-like regionsMay 02 2001We write down some relevant matrix elements for the scattering and decay processes of the pion by considering a quark-meson vertex function. The pion charge and transition form factors $F_\pi$, $F_{\pi\gamma}$, and $F_{\pi\gamma^*}$ are extracted from ... More

Energetic costs, precision, and efficiency of a biological motor in cargo transportOct 10 2017Nov 23 2017Molecular motors play pivotal roles in organizing the interior of cells. A motor efficient in cargo transport would move along cytoskeletal filaments with a high speed and a minimal error in transport distance (or time) while consuming a minimal amount ... More

Dissolution in a fieldMay 31 2001We study the dissolution of a solid by continuous injection of reactive ``acid'' particles at a single point, with the reactive particles undergoing biased diffusion in the dissolved region. When acid encounters the substrate material, both an acid particle ... More

Nonlocal Condensates in QCDFeb 03 1997In the presence of the nontrivial QCD ground state or vacuum, nonlocal condensates are used to characterize the quark or gluon propagator, or other Green functions of higher order. In this paper, we wish to show that, by taking the large $N_c$ limit (with ... More

Uniform boundedness for weak solutions of quasilinear parabolic equationsJan 07 2019In this paper, we study the boundedness of weak solutions to quasilinear parabolic equations of the form \[u_t - \text{div} \mathcal{A}(x,t,\nabla u) = 0, \] where the nonlinearity $\mathcal{A}(x,t,\nabla u)$ is modelled after the well studied $p$-Laplace ... More

On the unitarity of gauged non-compact world-sheet supersymmetric WZNW modelsFeb 25 2008Jan 21 2009In this paper we generalize our investigation of the unitarity of non-compact WZNW models connected to Hermitian symmetric spaces to the N=1 world-sheet supersymmetric extension of these models. We will prove that these models have a unitary spectrum ... More

Equivalence of Chern-Simons gauge theory and WZNW model using a BRST symmetryJun 16 1999Oct 13 1999The equivalence between the Chern-Simons gauge theory on a three-dimensional manifold with boundary and the WZNW model on the boundary is established in a simple and general way using the BRST symmetry. Our approach is based on restoring gauge invariance ... More

On the unitarity of gauged non-compact WZNW stringsOct 04 2007Mar 03 2008In this paper we investigate the unitarity of gauged non-compact WZNW strings i.e. string theories formulated as G/H' WZNW models, where G is a non-compact group. These models represent string theories on non-trivial curved space-times with one time-like ... More

The BRST formulation of G/H WZNW modelsMay 29 1993Jun 23 1993We consider a BRST approach to G/H coset WZNW models, {\it i.e.} a formulation in which the coset is defined by a BRST condition. We will give the precise ingrediences needed for this formulation. Then we will prove the equivalence of this approach to ... More

On the relation between a graph code and a graph stateNov 18 2015A graph state and a graph code respectively are defined based on a mathematical simple graph. In this work, we examine a relation between a graph state and a graph code both obtained from the same graph, and show that a graph state is a superposition ... More

Canonical Phase Measurements in the Presence of Photon LossNov 17 2008Jan 07 2009We analyze the optimal state, as given by Berry and Wiseman [Phys. Rev. Lett {\bf 85}, 5098, (2000)], under the canonical phase measurement in the presence of photon loss. The model of photon loss is a generic fictitious beam splitter, and we present ... More

Vacuum Persistence in Fierz-Pauli Theory on a Curved BackgroundJun 10 2015By explicitly constructing the Hilbert space, Higuchi showed that there is a lower bound on the mass of a minimally-coupled free spin-2 field on a curved background \cite{HiguchiBound}. Using the vacuum persistence amplitude, we show that this bound is ... More

Green's function for second order elliptic equations in non-divergence formDec 06 2017Sep 09 2018We construct the Green function for second order elliptic equations in non-divergence form when the mean oscillations of the coefficients satisfy the Dini condition and the domain has $C^{1,1}$ boundary. We also obtain pointwise bounds for the Green functions ... More

Neutrino Oscillations as a Lepton-Flavor-Violating InteractionJul 27 2012Aug 15 2013To describe neutrino oscillations in the sense of quantum mechanics and quantum field theory, we propose to use an off-diagonal neutrino-Higgs (mass) interaction, as discussed originally in a family gauge theory and in the extended Standard Model. For ... More

An Instructional Scaffolding for Intuitive Explanation of "Why does not a spinning top collapse?"Feb 13 2006May 31 2013"Why does not a spinning top collapse?" is a puzzling question. Standard solution using angular momentum and torque is not intuitive enough. Thus intuitive explanations for the question have been proposed. We provide scaffolding for an intuitive explanation ... More

On the volumes of complex hyperbolic manifolds with cuspsJul 18 2004We study the problem of bounding the number of cusps of a complex hyperbolic manifold in terms of its volume. Applying algebro-geometric methods using Mumford's work on toroidal compactifications and its generalization due to N. Mok and W.-K. To, we get ... More