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Neural Machine Translation between Herbal Prescriptions and DiseasesJul 09 2017The current study applies deep learning to herbalism. Toward the goal, we acquired the de-identified health insurance reimbursements that were claimed in a 10-year period from 2004 to 2013 in the National Health Insurance Database of Taiwan, the total ... More

Schrödinger Soliton from Lorentzian ManifoldsOct 09 2009Apr 25 2010In this paper, we introduce a new notion named as Schr\"odinger soliton. So-called Schr\"odinger solitons are defined as a class of special solutions to the Schr\"odinger flow equation from a Riemannian manifold or a Lorentzian manifold $M$ into a K\"ahler ... More

Destruction of Lagrangian torus for positive definite Hamiltonian systemsNov 27 2012For an integrable Hamiltonian $H_0=1/2\sum_{i=1}^dy_i^2$ $(d\geq 2)$, we show that any Lagrangian torus with a given unique rotation vector can be destructed by arbitrarily $C^{2d-\delta}$-small perturbations. In contrast with it, it has been shown that ... More

Fractional Quantum Hall Effect in Weyl SemimetalsJul 03 2019Weyl semimetal may be thought of as a gapless topological phase protected by the chiral anomaly, where the symmetries involved in the anomaly are the $U(1)$ charge conservation and the crystal translational symmetry. The absence of a band gap in a weakly-interacting ... More

On Reject and Refine Options in Multicategory ClassificationJan 09 2017In many real applications of statistical learning, a decision made from misclassification can be too costly to afford; in this case, a reject option, which defers the decision until further investigation is conducted, is often preferred. In recent years, ... More

Symmetry enriched U(1) quantum spin liquidsOct 02 2017May 15 2018We classify and characterize three dimensional $U(1)$ quantum spin liquids (deconfined $U(1)$ gauge theories) with global symmetries. These spin liquids have an emergent gapless photon and emergent electric/magnetic excitations (which we assume are gapped). ... More

Information Rate Decomposition for Feedback Systems with Output DisturbanceNov 11 2015This technical note considers the problem of resource allocation in linear feedback control system with output disturbance. By decomposing the information rate in the feedback communication channel, the channel resource allocation is thoroughly analyzed. ... More

Low-Complexity Algorithm for Worst-Case Utility Maximization in Multiuser MISO DownlinkFeb 25 2013This work considers worst-case utility maximization (WCUM) problem for a downlink wireless system where a multiantenna base station communicates with multiple single-antenna users. Specifically, we jointly design transmit covariance matrices for each ... More

How are identifiers named in open source software? About popularity and consistencyJan 21 2014May 31 2014With the rapid increasing of software project size and maintenance cost, adherence to coding standards especially by managing identifier naming, is attracting a pressing concern from both computer science educators and software managers. Software developers ... More

Fully Supervised Speaker DiarizationOct 10 2018Feb 19 2019In this paper, we propose a fully supervised speaker diarization approach, named unbounded interleaved-state recurrent neural networks (UIS-RNN). Given extracted speaker-discriminative embeddings (a.k.a. d-vectors) from input utterances, each individual ... More

Efficient Column Generation for Cell Detection and SegmentationSep 21 2017We study the problem of instance segmentation in biological images with crowded and compact cells. We formulate this task as an integer program where variables correspond to cells and constraints enforce that cells do not overlap. To solve this integer ... More

Bound states of three fermions forming symmetry-protected topological phasesJun 03 2014Mar 15 2015We propose a simple theoretical construction of certain short-range entangled phases of interacting fermions, by putting the bound states of three fermions (which we refer to as clustons) into topological bands. We give examples in two and three dimensions, ... More

Duality between $(2+1)d$ Quantum Critical PointsOct 11 2018Duality refers to two equivalent descriptions of the same theory from different points of view. Recently there has been tremendous progress in formulating and understanding possible dualities of quantum many body theories in $2+1$-spacetime dimensions. ... More

Unifying Description of Competing Orders in Two Dimensional Quantum MagnetsNov 27 2018Quantum magnets provide the simplest example of strongly interacting quantum matter, yet they continue to resist a comprehensive understanding above one spatial dimension (1D). In 1D, a key ingredient to progress is Luttinger liquid theory which provides ... More

TopicRNN: A Recurrent Neural Network with Long-Range Semantic DependencyNov 05 2016Feb 27 2017In this paper, we propose TopicRNN, a recurrent neural network (RNN)-based language model designed to directly capture the global semantic meaning relating words in a document via latent topics. Because of their sequential nature, RNNs are good at capturing ... More

On The Computability of Perfect Subsets of Sets with Positive MeasureAug 18 2018Nov 02 2018A set $X \subseteq 2^\omega$ with positive measure contains a perfect subset. We study such perfect subsets from the viewpoint of computability and prove that these sets can have weak computational strength. Then we connect the existence of perfect subsets ... More

SPM-Tracker: Series-Parallel Matching for Real-Time Visual Object TrackingApr 09 2019The greatest challenge facing visual object tracking is the simultaneous requirements on robustness and discrimination power. In this paper, we propose a SiamFC-based tracker, named SPM-Tracker, to tackle this challenge. The basic idea is to address the ... More

From spinon band topology to the symmetry quantum numbers of monopoles in Dirac spin liquidsNov 27 2018Apr 09 2019The interplay of symmetry and topology has been at the forefront of recent progress in quantum matter. Here we uncover an unexpected connection between band topology and the description of competing orders in a quantum magnet. Specifically we show that ... More

Correlation Tracking via Joint Discrimination and Reliability LearningApr 24 2018For visual tracking, an ideal filter learned by the correlation filter (CF) method should take both discrimination and reliability information. However, existing attempts usually focus on the former one while pay less attention to reliability learning. ... More

New Bounds For Frameproof CodesNov 21 2014Frameproof codes are used to fingerprint digital data. It can prevent copyrighted materials from unauthorized use. In this paper, we study upper and lower bounds for $w$-frameproof codes of length $N$ over an alphabet of size $q$. The upper bound is based ... More

Sparse approximate solution of fitting surface to scattered points by MLASSO modelApr 24 2017Apr 26 2017The goal of this paper is to achieve a computational model and corresponding efficient algorithm for obtaining a sparse representation of the fitting surface to the given scattered data. The basic idea of the model is to utilize the principal shift invariant ... More

Sequence Modeling via SegmentationsFeb 24 2017Jul 18 2018Segmental structure is a common pattern in many types of sequences such as phrases in human languages. In this paper, we present a probabilistic model for sequences via their segmentations. The probability of a segmented sequence is calculated as the ... More

Giant Enhancement of Intrinsic Spin Hall Conductivity in $β$ Tungsten via Substitutional DopingDec 15 2017A key challenge in manipulating the magnetization in heavy-metal/ferromagnetic bilayers via the spin-orbit torque is to identify materials that exhibit an efficient charge-to-spin current conversion. Ab initio electronic structure calculations reveal ... More

Longitudinal spin excitations and magnetic anisotropy in antiferromagnetically ordered BaFe2As2Sep 29 2013We report on a spin-polarized inelastic neutron scattering study of spin waves in the antiferromagnetically ordered state of BaFe2As2. Three distinct excitation components are identified, with spins fluctuating along the c-axis, perpendicular to the ordering ... More

Half-filled Landau level, topological insulator surfaces, and three dimensional quantum spin liquidsJul 29 2015Oct 07 2015We synthesize and partly review recent developments relating the physics of the half-filled Landau level in two dimensions to correlated surface states of topological insulators in three dimensions. The latter are in turn related to the physics of certain ... More

Dual Dirac liquid on the surface of the electron topological insulatorMay 19 2015Oct 06 2015We discuss a non-fermi liquid gapless metallic surface state of the topological band insulator. It has an odd number of gapless Dirac fermions coupled to a non-compact U(1) gauge field. This can be viewed as a vortex dual to the conventional Dirac fermion ... More

Heat flow of Yang-Mills-Higgs functionals in dimension twoAug 19 2016We consider the heat flow of Yang-Mills-Higgs functional where the base manifold is a Riemannian surface and the fiber is a compact symplectic manifold. We show that the corresponding Cauchy problem admits a global weak solution for any $H^1$-initial ... More

Characterization of arbitrary-order correlations in quantum baths by weak measurementFeb 10 2019Correlations of fluctuations are the driving forces behind the dynamics and thermodynamics in quantum many-body systems. For qubits embedded in a quantum bath, the correlations in the bath are the key to understanding and combating decoherence -a critical ... More

Prior-aware Neural Network for Partially-Supervised Multi-Organ SegmentationApr 12 2019Accurate multi-organ abdominal CT segmentation is essential to many clinical applications such as computer-aided intervention. As data annotation requires massive human labor from experienced radiologists, it is common that training data are partially ... More

The role of active region coronal magnetic field in determining coronal mass ejection propagation directionOct 21 2015We study the role of the coronal magnetic field configuration of an active region in determining the propagation direction of a coronal mass ejection (CME). The CME occurred in the active region 11944 (S09W01) near the disk center on 2014 January 7 and ... More

Stability of the warped black string with nontrivial topology in five-dimensional Anti-de Sitter spacetimeApr 24 2010Aug 17 2010We investigate the stability of a new warped black string with nontrivial topologies in five-dimensional Anti-de Sitter spacetime. After studying the linear gravitational perturbation, we find that this black string is unstable when the Kaluza-Klein mass ... More

Two-terminal spin-orbit torque magnetoresistive random access memoryJun 25 2018Aug 23 2018Spin-transfer torque magnetoresistive random access memory (STT-MRAM) is an attractive alternative to current random access memory technologies due to its non-volatility, fast operation and high endurance. STT-MRAM does though have limitations including ... More

Optical rogue waves and W-shaped solitons in the multiple self-induced transparency systemJun 30 2016We study localized nonlinear waves on a plane wave background in the multiple self-induced transparency (SIT) system, which describes an important enhancement of the amplification and control of optical waves compared to the single SIT system. A hierarchy ... More

Boson topological insulators: A window into highly entangled quantum phasesFeb 25 2013May 07 2013We study several aspects of the realization of global symmetries in highly entangled phases of quantum matter. Examples include gapped topological ordered phases, gapless quantum spin liquids and non-fermi liquid phases. An insightful window into such ... More

Thoracic Disease Identification and Localization with Limited SupervisionNov 17 2017Jun 20 2018Accurate identification and localization of abnormalities from radiology images play an integral part in clinical diagnosis and treatment planning. Building a highly accurate prediction model for these tasks usually requires a large number of images manually ... More

Deconfined quantum critical points: symmetries and dualitiesMar 07 2017Dec 26 2017The deconfined quantum critical point (QCP), separating the N\'eel and valence bond solid phases in a 2D antiferromagnet, was proposed as an example of $2+1$D criticality fundamentally different from standard Landau-Ginzburg-Wilson-Fisher {criticality}. ... More

Emergent Multi-flavor QED3 at the Plateau Transition between Fractional Chern Insulators: Applications to graphene heterostructuresFeb 26 2018Mar 15 2018Recent experiments in graphene heterostructures have observed Chern insulators - integer and fractional Quantum Hall states made possible by a periodic substrate potential. Here we study theoretically the competition between different Chern insulators, ... More

Multi-Person Pose Estimation via Column GenerationSep 18 2017We study the problem of multi-person pose estimation in natural images. A pose estimate describes the spatial position and identity (head, foot, knee, etc.) of every non-occluded body part of a person. Pose estimation is difficult due to issues such as ... More

Essential normality of homogenous quotient modules over the polydisc: distinguished variety caseAug 14 2015In the present paper, we study the essential normality of quotient modules over the polydisc. It is shown that if the zero variety of homogenous ideal $I$ is a distinguished variety, then its quotient module is $(1,\infty)$-essentially normal. Moreover, ... More

Momentum-space threshold resummation in $tW$ production at the LHCMar 05 2019We calculate the soft-gluon corrections for $tW$ production to all orders. The soft limit is defined in the pair invariant mass or one particle inclusive kinematic schemes. We find that at NLO the contribution of the soft-gluon effect dominates in the ... More

Uniqueness of Schrödinger flow on manifoldsNov 07 2017In this paper, we show the uniqueness of Schr\"odinger flow from a general complete Riemannian manifold to a complete K\"ahler manifold with bounded geometry. While following the ideas of McGahagan[16], we present a more intrinsic proof by using the distance ... More

Analysis of Information Theoretic Limitation for Linear Time Invariant Feedback SystemsAug 15 2015Information-theoretic fundamental limitation in feedback control system is an important topic for decades. In this paper, a new bode-like fundamental inequality in causal feedback control system is developed. This inequality relates directed information, ... More

Community Specific Temporal Topic Discovery from Social MediaDec 03 2013Studying temporal dynamics of topics in social media is very useful to understand online user behaviors. Most of the existing work on this subject usually monitors the global trends, ignoring variation among communities. Since users from different communities ... More

Directed tunneling of a prescribed number of dipolar bosons in shaken triple-well potentialsFeb 20 2015Mar 21 2015We propose a scheme for precise control of tunneling dynamics of dipolar bosons in shaken triple-well potentials. In the high-frequency regimes and under the resonance conditions, we have analytically and numerically demonstrated that we can transport ... More

Composite fermi liquids in the lowest Landau levelApr 22 2016Jul 25 2016We study composite fermi liquid (CFL) states in the lowest Landau level (LLL) limit at a generic filling $\nu = \frac{1}{n}$. We begin with the old observation that, in compressible states, the composite fermion in the lowest Landau level should be viewed ... More

Subgoal Discovery for Hierarchical Dialogue Policy LearningApr 20 2018Sep 22 2018Developing agents to engage in complex goal-oriented dialogues is challenging partly because the main learning signals are very sparse in long conversations. In this paper, we propose a divide-and-conquer approach that discovers and exploits the hidden ... More

Optimization of broadband omnidirectional antireflection coatings for solar cellsDec 13 2015Broadband and omnidirectional antireflection coating is a generally effective way to improve solar cell efficiency, because the destructive interference between the reflected and input waves could maximize transmission light in the absorption layer. Several ... More

Generative Adversarial Active Learning for Unsupervised Outlier DetectionSep 28 2018Mar 18 2019Outlier detection is an important topic in machine learning and has been used in a wide range of applications. In this paper, we approach outlier detection as a binary-classification issue by sampling potential outliers from a uniform reference distribution. ... More

Interference-Free Transceiver Design and Signal Detection for Ambient Backscatter Communication Systems over Frequency-Selective ChannelsDec 29 2018In this letter, we study the ambient backscatter communication systems over frequency-selective channels. Specifically, we propose an interference-free transceiver design to facilitate signal detection at the reader. Our design utilizes the cyclic prefix ... More

Micro-pulse upconversion Doppler lidar for wind and visibility detection in the atmospheric boundary layerMay 22 2016For the first time, a versatile, eyesafe, compact and direct detection Doppler lidar is developed using upconversion single-photon detection method. An all-fiber and polarization maintaining architecture is realized to guarantee the high optical coupling ... More

Essential normality of homogeneous quotient modules over the polydisc II: a complete criteriaSep 25 2016In the present paper, we solve the polydisc-version of Arveson Conjecture by giving a complete criteria for essential normality of homogeneous quotient modules of the Hardy module over the polydisc, and it turns out that our method applies to quotient ... More

Interacting fermionic topological insulators/superconductors in three dimensionsJan 06 2014May 29 2015Symmetry Protected Topological (SPT) phases are a minimal generalization of the concept of topological insulators to interacting systems. In this paper we describe the classification and properties of such phases for three dimensional(3D) electronic systems ... More

Time-reversal symmetric U(1) quantum spin liquidsMay 13 2015Mar 30 2016We study possible quantum $U(1)$ spin liquids in three dimensions with time-reversal symmetry. We find a total of 7 families of such $U(1)$ spin liquids, distinguished by the properties of their emergent electric/magnetic charges. We show how these spin ... More

Fractionalized gapless quantum vortex liquidsJul 28 2014May 12 2015The standard theoretical approach to gapless spin liquid phases of two-dimensional frustrated quantum antiferromagnets invokes the concept of fermionic slave particles into which the spin fractionalizes. As an alternate we explore new kinds of gapless ... More

Self-focusing and the Talbot effect in conformal transformation opticsJul 19 2017Transformation optics (TO) has been used to propose various novel optical devices. With the help of metamaterials, several intriguing designs, such as invisibility cloaks, have been implemented. However, as the basic units should be much smaller than ... More

Transverse-Momentum Resummation for Gauge Boson Pair Production at the Hadron ColliderJul 29 2013Jul 31 2013We perform the transverse-momentum resummation for $W^{+}W^{-}$, $ZZ$, and $W^{\pm}Z$ pair productions at the next-to-next-to-leading logarithmic accuracy using soft-collinear effective theory for $\sqrt{S}=8 \text{TeV}$ and $\sqrt{S}=14 \text{TeV}$ at ... More

Magnetically Controllable Topological Quantum Phase Transitions in Antiferromagnetic Topological Insulator MnBi$_2$Te$_4$May 02 2019May 23 2019The recent discovery of antiferromagnetic (AFM) topological insulator (TI) MnBi$_2$Te$_4$ has triggered great research efforts on exploring novel magnetic topological physics. Based on first-principles calculations, we find that the manipulation of magnetic ... More

Stochastic PDEs with heavy-tailed noiseJan 31 2016Nov 18 2016We analyze the nonlinear stochastic heat equation driven by heavy-tailed noise in free space and arbitrary dimension. The existence of a solution is proved even if the noise only has moments up to an order strictly smaller than its Blumenthal-Getoor index. ... More

Strain-tunable van der Waals interactions in few-layer black phosphorusJun 05 2019Interlayer interactions in 2D materials, also known as van der Waals (vdWs) interactions, play a critical role in the physical properties of layered materials. It is fascinating to manipulate the vdWs interaction, and hence to "redefine" the material ... More

Research on Control Method and Evaluation System of Ground Unmanned Vehicle Formation TransformAug 05 2018Jul 04 2019In this paper,we design a formation control systrm for multi-unmanned ground vehicles(UGV) from the prospective of path planning and path tracking.The master-slave control is adopted by electing out a main vehicle to address the problem of possible accumulation,tranmission ... More

Quantum metal state and quantum phase transitions in type-II Ising superconducting filmsApr 29 2019Recent emergence of two-dimensional (2D) crystalline superconductors has provided a promising platform to investigate novel quantum physics and potential applications. To reveal essential quantum phenomena therein, ultralow temperature transport investigation ... More

A General Method for Robust Bayesian ModelingOct 17 2015Sep 07 2016Robust Bayesian models are appealing alternatives to standard models, providing protection from data that contains outliers or other departures from the model assumptions. Historically, robust models were mostly developed on a case-by-case basis; examples ... More

Variational Inference in Nonconjugate ModelsSep 19 2012Mar 12 2013Mean-field variational methods are widely used for approximate posterior inference in many probabilistic models. In a typical application, mean-field methods approximately compute the posterior with a coordinate-ascent optimization algorithm. When the ... More

The high density $γ$-ray emission and dense positron production via multi-lasers driven circular targetDec 04 2018A diamond-like carbon circular target is proposed to improve the $\gamma$-ray emission and pair production with lasers intensity of $8\times 10^{22} ~\mathrm{W/cm^2}$ by using two-dimensional particle-in-cell simulations with quantum electrodynamics. ... More

Neural Phrase-to-Phrase Machine TranslationNov 06 2018In this paper, we propose Neural Phrase-to-Phrase Machine Translation (NP$^2$MT). Our model uses a phrase attention mechanism to discover relevant input (source) segments that are used by a decoder to generate output (target) phrases. We also design an ... More

Doubly Robust CrowdsourcingJun 08 2019Large-scale labeled datasets are the indispensable fuel that ignites the AI revolution as we see today. Most such datasets are constructed using crowdsourcing services such as Amazon Mechanical Turk which provides noisy labels from non-experts at a fair ... More

Experimental Study of residual radioactivity induced in SFC Electrostatic DeflectorFeb 23 2017Jul 06 2017Electrostatic Deflector, one of the key components of SFC accelerator at IMP, is easily activated in the long-term running of HIRFL due to the bombardment with losing ions. The level of residual radioactivity induced in main components and dust contained ... More

Super-resolution and non-diffraction longitudinal polarized beamSep 18 2007A method is presented for generation of a subwavelength (0.43 lambda) longitudinally polarized beam, which propagates without divergence over lengths of about 4 lambda in free space. This is achieved by controlling the amplitude, phase and polarization ... More

Long-range micro-pulse aerosol lidar at 1.5 um with an up-conversion single-photon detectorDec 09 2014A micro-pulse lidar at eye-safe wavelength is constructed based on an up-conversion single-photon detector. The ultralow noise detector enables using integration technique to improve the signal-to-noise ratio of the atmospheric backscattering even at ... More

A Split-Merge MCMC Algorithm for the Hierarchical Dirichlet ProcessJan 08 2012The hierarchical Dirichlet process (HDP) has become an important Bayesian nonparametric model for grouped data, such as document collections. The HDP is used to construct a flexible mixed-membership model where the number of components is determined by ... More

Probing the dynamical state, baryon content, and multiphase nature of galaxy clusters with bright background QSOsOct 09 2018We have initiated a programme to study the physical/dynamical state of gas in galaxy clusters and the impact of the cluster environment on gaseous halos of individual galaxies using X-ray imaging and UV absorption line spectroscopy of background QSOs. ... More

Type-II Ising superconductivity in two-dimensional materials with strong spin-orbit couplingMar 15 2019Apr 03 2019Recent discovery of Ising superconductivity protected against in-plane magnetic field by spin-orbit coupling (SOC) has stimulated intensive research interests. The effect, however, was only expected to appear in two-dimensional (2D) noncentrosymmetric ... More

Simulating Star Clusters Across Cosmic Time: I. Initial Mass Function, Star Formation Rates and EfficienciesApr 16 2019We present a large set of radiation-magneto-hydrodynamic simulations of star formation in self-gravitating, turbulent molecular clouds, modelling the formation of individual massive stars, including their UV radiation feedback. We consider a grid of simulations ... More

Interface induced high temperature superconductivity in single unit-cell FeSe films on SrTiO3(110)Dec 07 2015May 06 2016We report high temperature superconductivity in one unit-cell (1-UC) FeSe films grown on STO(110) substrate by molecular beam epitaxy. By in-situ scanning tunneling spectroscopy measurement, we observed a superconducting gap as large as 17 meV. Transport ... More

Degenerate Turán densities of sparse hypergraphsJul 10 2019For fixed integers $r>k\ge 2,e\ge 3$, let $f_r(n,er-(e-1)k,e)$ be the maximum number of edges in an $r$-uniform hypergraph in which the union of any $e$ distinct edges contains at least $er-(e-1)k+1$ vertices. A classical result of Brown, Erd\H{o}s and ... More

Indirect Image Registration with Large Diffeomorphic DeformationsJun 13 2017Oct 11 2017The paper adapts the large deformation diffeomorphic metric mapping framework for image registration to the indirect setting where a template is registered against a target that is given through indirect noisy observations. The registration uses diffeomorphisms ... More

Induced Chern-Simons and WZW action in Noncommutative SpacetimeMar 01 2000Apr 20 2000We consider noncommutative gauge theory with Dirac or Majorana fermions in odd dimensional spacetime and compute the induced noncommutative Chern-Simons action generated at 1-loop. We observe that the Chern-Simons term induced by a Dirac fermion has a ... More

Noncommutative Open String: Neutral and ChargedJan 23 2000We review the quantization of open string in NS-NS background and demonstrate that its endpoint becomes noncommutative. The same approach allows us to determine the noncommutativity that arises for a charged open string in background gauge fields. While ... More

A Theory of Non-Abelian Tensor Gauge Field with Non-Abelian Gauge Symmetry G x GAug 25 2011Sep 26 2012The Chern-Simon action of the ABJM theory is not gauge invariant in the presence of a boundary. In the paper arXiv:0909.2333, this was shown to imply the existence of a Kac-Moody symmetry on the theory of multiple self-dual strings. In this paper we conjecture ... More

An application of liaison theory to the Eisenbud-Green-Harris conjectureNov 05 2013In this paper, we apply liaison theory to the Eisenbud-Green-Harris conjecture and prove that the conjecture holds for a certain subclass of homogeneous ideals in the linkage class of a complete intersection ideal. In the case of three variables, we prove ... More

Isolated Singularities of Yang-Mills-Higgs fields on surfacesJul 16 2019We study isolated singularities of two dimensional Yang-Mills-Higgs fields defined on a fiber bundle, where the fiber space is a compact Riemannian manifold and the structure group is a compact connected Lie group. In general the singularity can not be ... More

Brake subharmonic solutions of first order Hamiltonian systemsAug 01 2009Nov 24 2010In this paper, we mainly use the Galerkin approximation method and the iteration inequalities of the $L$-Maslov type index theory to study the properties of brake subharmonic solutions for the first order non-autonomous Hamiltonian systems. We prove that ... More

Intermittency for the stochastic heat equation with Lévy noiseJul 16 2017Jun 29 2018We investigate the moment asymptotics of the solution to the stochastic heat equation driven by a $(d+1)$-dimensional L\'evy space--time white noise. Unlike the case of Gaussian noise, the solution typically has no finite moments of order $1+2/d$ or higher. ... More

Generalized Macaulay representations and the flag $f$-vectors of generalized colored complexesJun 07 2013Nov 20 2014A colored complex of type $\mathbf{a} = (a_1, \dots, a_n)$ is a simplicial complex ${\Delta}$ on a vertex set $V$, together with an ordered partition $(V_1, \dots, V_n)$ of $V$, such that every face $F$ of ${\Delta}$ satisfies $|F \cap V_i| \leq a_i$. ... More

Partial mean field limits in heterogeneous networksJul 07 2015Feb 14 2017We investigate systems of interacting stochastic differential equations with two kinds of heterogeneity: one originating from different weights of the linkages, and one concerning their asymptotic relevance when the system becomes large. To capture these ... More

Seeing Through Misinformation: A Framework for Identifying Fake Online NewsMar 31 2018The fake news epidemic makes it imperative to develop a diagnostic framework that is both parsimonious and valid to guide present and future efforts in fake news detection. This paper represents one of the very first attempts to fill a void in the research ... More

Contagion in financial systems: A Bayesian network approachFeb 14 2017Jul 16 2017We develop a structural default model for interconnected financial institutions in a probabilistic framework. For all possible network structures we characterize the joint default distribution of the system using Bayesian network methodologies. Particular ... More

Degenerate Turán densities of sparse hypergraphsJul 10 2019Jul 17 2019For fixed integers $r>k\ge 2,e\ge 3$, let $f_r(n,er-(e-1)k,e)$ be the maximum number of edges in an $r$-uniform hypergraph in which the union of any $e$ distinct edges contains at least $er-(e-1)k+1$ vertices. A classical result of Brown, Erd\H{o}s and ... More

Upper Bound on the Capacity of Gaussian Channels with Noisy FeedbackJan 07 2012We consider an additive Gaussian channel with additive Gaussian noise feedback. We derive an upper bound on the n-block capacity (defined by Cover [1]). It is shown that this upper bound can be obtained by solving a convex optimization problem. With stationarity ... More

Parametrized Stochastic Multi-armed Bandits with Binary RewardsNov 18 2011In this paper, we consider the problem of multi-armed bandits with a large, possibly infinite number of correlated arms. We assume that the arms have Bernoulli distributed rewards, independent across time, where the probabilities of success are parametrized ... More

FormuLog: Datalog for static analysis involving logical formulaeSep 17 2018Datalog has become a popular language for writing static analyses. Because Datalog is very limited, some implementations of Datalog for static analysis have extended it with new language features. However, even with these features it is hard or impossible ... More

A Framework for Creating Natural Language User Interfaces for Action-Based ApplicationsDec 17 2004In this paper we present a framework for creating natural language interfaces to action-based applications. Our framework uses a number of reusable application-independent components, in order to reduce the effort of creating a natural language interface ... More

Cartan-Weyl 3-algebras and the BLG Theory II: Strong-Semisimplicity and Generalized Cartan-Weyl 3-algebrasApr 09 2010Aug 05 2010One of the most important questions in the Bagger-Lambert-Gustavsson (BLG) theory of multiple M2-branes is the choice of the Lie 3-algebra. The Lie 3-algebra should be chosen such that the corresponding BLG model is unitary and admits fuzzy 3-sphere as ... More

Cartan-Weyl 3-algebras and the BLG Theory I: Classification of Cartan-Weyl 3-algebrasApr 08 2010Aug 05 2010As Lie algebras of compact connected Lie groups, semisimple Lie algebras have wide applications in the description of continuous symmetries of physical systems. Mathematically, semisimple Lie algebra admits a Cartan-Weyl basis of generators which consists ... More

Weyl Anomaly and Vacuum Magnetization Current of M5-brane in Background FluxMar 07 2019Mar 13 2019It was recently discovered that for a boundary system in the presence of a background magnetic field, the quantum fluctuation of the vacuum would create a non-uniform magnetization density for the vacuum and a magnetization current is induced in the vacuum. ... More

Uniform hyperbolicity of invariant cylinderSep 10 2015For a nearly integrable Hamiltonian systems $H=h(p)+\epsilon P(p,q)$ with $(p,q)\in\mathbb{R}^3\times\mathbb{T}^3$, large normally hyperbolic invariant cylinders exist along the whole resonant path, except for the $\sqrt{\epsilon}^{1+d}$-neighborhood ... More

A way to cross double resonanceOct 29 2015For typical perturbations of convex integrable Hamiltonian system with three degrees of freedom, a path of diffusion is established to cross strong double resonant point. Together with the uniform hyperbolicity of invariant cylinders got in \cite{C15}, ... More

Arnold diffusion in nearly integrable Hamiltonian systemsJul 17 2012Mar 19 2013In this paper, Arnold diffusion is proved to be generic phenomenon in nearly integrable convex Hamiltonian systems with three degrees of freedom: $$ H(x,y)=h(y)+\epsilon P(x,y), \qquad x\in\mathbb{T}^3,\ y\in\mathbb{R}^3. $$ Under typical perturbation ... More

Normal approximation of the solution to the stochastic heat equation with Lévy noiseDec 03 2018Jul 14 2019Given a sequence $\dot{L}^{\varepsilon}$ of L\'evy noises, we derive necessary and sufficient conditions in terms of their variances $\sigma^2(\varepsilon)$ such that the solution to the stochastic heat equation with noise $\sigma(\varepsilon)^{-1} \dot{L}^\varepsilon$ ... More

Topological Paramagnetism in Frustrated Spin-One Mott InsulatorsJan 06 2015Time reversal protected three dimensional (3D) topological paramagnets are magnetic analogs of the celebrated 3D topological insulators. Such paramagnets have a bulk gap, no exotic bulk excitations, but non-trivial surface states protected by symmetry. ... More