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Dialogue manager domain adaptation using Gaussian process reinforcement learningSep 09 2016Spoken dialogue systems allow humans to interact with machines using natural speech. As such, they have many benefits. By using speech as the primary communication medium, a computer interface can facilitate swift, human-like acquisition of information. ... More

Conditional Generation and Snapshot Learning in Neural Dialogue SystemsJun 10 2016Recently a variety of LSTM-based conditional language models (LM) have been applied across a range of language generation tasks. In this work we study various model architectures and different ways to represent and aggregate the source information in ... More

Multi-domain Neural Network Language Generation for Spoken Dialogue SystemsMar 03 2016Moving from limited-domain natural language generation (NLG) to open domain is difficult because the number of semantic input combinations grows exponentially with the number of domains. Therefore, it is important to leverage existing resources and exploit ... More

Can the electronic energy spectra of bulk excitonic states be traced to parent molecular states in fluorene and its hetero-analogues? It depends on the mutual orientation of the respective transition dipoles in the crystalMay 08 2013The effect of intermolecular interactions on intensity redistribution between individual electronic transitions in different polymorphs of fluorene and dibenzofuran was studied by transmittance electronic spectroscopy in the energy range from onset of ... More

On Plouffe's Ramanujan IdentitiesSep 28 2006Nov 28 2010Recently, Simon Plouffe has discovered a number of identities for the Riemann zeta function at odd integer values. These identities are obtained numerically and are inspired by a prototypical series for Apery's constant given by Ramanujan: $\zeta(3)=\frac{7\pi^3}{180}-2\sum_{n=1}^\infty\frac{1}{n^3(e^{2\pi ... More

Reward-Balancing for Statistical Spoken Dialogue Systems using Multi-objective Reinforcement LearningJul 19 2017Reinforcement learning is widely used for dialogue policy optimization where the reward function often consists of more than one component, e.g., the dialogue success and the dialogue length. In this work, we propose a structured method for finding a ... More

Counter-fitting Word Vectors to Linguistic ConstraintsMar 02 2016In this work, we present a novel counter-fitting method which injects antonymy and synonymy constraints into vector space representations in order to improve the vectors' capability for judging semantic similarity. Applying this method to publicly available ... More

Evaluating bird collision risk of a high-speed railway crossing the habitat of the crested ibis (Nipponia nippon) in Qinling Mountains, ChinaJul 10 2019Bird collisions with high-speed transport modes is a vital topic on vehicle safety and wildlife protection, especially when high-speed trains, with an average speed of 250km/h, have to run across the habitat of an endangered bird species. This paper evaluates ... More

Confined Coulomb systems with absorbing boundaries: the two-dimensional two-component plasmaMay 21 2003Nov 21 2003Using a solvable model, the two-dimensional two-component plasma, we study a Coulomb gas confined in a disk and in an annulus with boundaries that can adsorb some of the negative particles of the system. We obtain explicit analytic expressions for the ... More

On Differences of Zeta ValuesNov 11 2006Jul 11 2007Finite differences of values of the Riemann zeta function at the integers are explored. Such quantities, which occur as coefficients in Newton series representations, have surfaced in works of Maslanka, Coffey, Baez-Duarte, Voros and others. We apply ... More

Uniqueness of bubbling solutions of mean field equations with non-quantized singularitiesJun 13 2019For singular mean field equations defined on a compact Riemann surface, we prove the uniqueness of bubbling solutions if some blowup points coincide with bubbling sources. If the strength of the bubbling sources at blowup points are not multiple of $4\pi$ ... More

Understanding How Image Quality Affects Deep Neural NetworksApr 14 2016Apr 21 2016Image quality is an important practical challenge that is often overlooked in the design of machine vision systems. Commonly, machine vision systems are trained and tested on high quality image datasets, yet in practical applications the input images ... More

Kinematics and binaries in young stellar aggregatesDec 11 1998Internal kinematics, spectroscopic binaries and galactic motion are investigated for the trapezium system BD+00.1617 (which lies at the heart of the young open cluster Bochum 2) by means on 73 high resolution Echelle+CCD spectra secured over the period ... More

On exact Hausdorff measure functions of operator semistable Lévy processesSep 30 2016Let $X=\{X(t)\}_{t\geq0}$ be an operator semistable L\'evy process on $\mathbb{R}^d$ with exponent $E$, where $E$ is an invertible linear operator on $\mathbb{R}^d$. In this paper we determine exact Hausdorff measure functions for the range of $X$ over ... More

On the sufficiency of pairwise interactions in maximum entropy models of biological networksMay 11 2015Biological information processing networks consist of many components, which are coupled by an even larger number of complex multivariate interactions. However, analyses of data sets from fields as diverse as neuroscience, molecular biology, and behavior ... More

Spectroscopic orbit of the ex-eclipsing binain the young open cluster NGC 7209ry SS LacMay 04 1998The no-longer-eclipsing system SS Lac in the young open cluster NGC 7209 has been recently announced to show a constant radial velocity. Puzzled by this finding, we have monitored the system during 1997 obtaining 24 Echelle+CCD spectra over 8 orbital ... More

Cyclic triangle factors in regular tournamentsJun 18 2018Both Cuckler and Yuster independently conjectured that when $n$ is an odd positive multiple of $3$ every regular tournament on $n$ vertices contains a collection of $n/3$ vertex-disjoint copies of the cyclic triangle. Soon after, Keevash and Sudakov proved ... More

Volume entropy estimate for integral Ricci curvatureOct 13 2018Feb 14 2019We give an estimate for the volume entropy in terms of integral Ricci curvature which substantially improves an earlier estimate in \cite{Au2} and give an application on the algebraic entropy of its fundamental group. We also extend the quantitive almost ... More

Monitoring voltage collapse margin by measuring the area voltage across several transmission lines with synchrophasorsDec 09 2013Feb 19 2014We consider the fast monitoring of voltage collapse margin using synchrophasor measurements at both ends of transmission lines that transfer power from two generators to two loads. This shows a way to extend the monitoring of a radial transmission line ... More

Decomposability of bimodule mapsApr 04 2014Consider a unital C*-algebra A, a von Neumann algebra M, a unital sub-C*-algebra C of A and a unital *-homomorphism $\pi$ from C to M. Let u: A --> M be a decomposable map (i.e. a linear combination of completely positive maps) which is a C-bimodule map ... More

How to Achieve the Optimal DMT of Selective Fading MIMO Channels?Oct 13 2010In this paper, we consider a particular class of selective fading channel corresponding to a channel that is selective either in time or in frequency. For this class of channel, we propose a systematic way to achieve the optimal DMT derived in Coronel ... More

Explainable Text-Driven Neural Network for Stock PredictionFeb 13 2019It has been shown that financial news leads to the fluctuation of stock prices. However, previous work on news-driven financial market prediction focused only on predicting stock price movement without providing an explanation. In this paper, we propose ... More

New Angles on Energy Correlation FunctionsSep 23 2016Jet substructure observables, designed to identify specific features within jets, play an essential role at the Large Hadron Collider (LHC), both for searching for signals beyond the Standard Model and for testing QCD in extreme phase space regions. In ... More

On location-allocation problems for dimensional facilitiesJun 26 2018This paper deals with a bilevel approach of the location-allocation problem with dimensional facilities. We present a general model that allows us to consider very general shapes of domains for the dimensional facilities and we prove the existence of ... More

Network Inspection for Detecting Strategic AttacksApr 30 2017Oct 12 2018We study the generic problem of strategic network inspection, in which a defender (inspection agency) is tasked with detecting the presence of multiple attacks in the network. The defender has access to a limited number of detectors that she can randomly ... More

Application of Complex Daubechies' Wavelets to Numerical Simulation of a Nonlinear Signal Propagation ModelMar 31 1994We report the first application of complex symmetric wavelets to the numerical simulation of a nonlinear signal propagation model. This model is the so-called nonlinear Schrodinger equation that describes, for instance, the evolution of the electric field ... More

On Stability of Targets for Plasma Jet Induced Magnetoinertial FusionDec 04 2015The compression and stability of plasma targets for the plasma jet-induced magneto-inertial fusion (PJMIF) have been investigated via large scale simulations using the FronTier code capable of explicit tracking of material interfaces. In the PJMIF concept, ... More

Is Bottom-Up Attention Useful for Scene Recognition?Jul 22 2013The human visual system employs a selective attention mechanism to understand the visual world in an eficient manner. In this paper, we show how computational models of this mechanism can be exploited for the computer vision application of scene recognition. ... More

Asymptotic Analysis in a Gas-Solid Combustion Model with Pattern FormationNov 04 2012We consider a free interface problem which stems from a solid-gas model in combustion with pattern formation. We derive a third-order, fully nonlinear, self-consistent equation for the flame front. Asymptotic methods reveal that the interface approaches ... More

Lax Pair Formulation of the W-gravity Theories in two DimensionsJan 28 1992The Lax pair formulation of the two dimensional induced gravity in the light-cone gauge is extended to the more general $w_N$ theories. After presenting the $w_2$ and $w_3$ gravities, we give a general prescription for an arbitrary $w_N$ case. This is ... More

A Geometric Approach to the Modified Milnor ProblemJun 07 2018The Milnor Problem (modified) in the theory of group growth asks whether any finite presented group of vanishing algebraic entropy has at most polynomial growth. We show that a positive answer to the Milnor Problem (modified) is equivalent to the Nilpotency ... More

Quantitative Volume Space From Rigidity with lower Ricci curvature bound IIJun 17 2016This is the second paper of two in a series under the same title ([CRX]); both study the quantitative volume space form rigidity conjecture: a closed $n$-manifold of Ricci curvature at least $(n-1)H$, $H=\pm 1$ or $0$ is diffeomorphic to a $H$-space form ... More

Branching random walks and contact processes on Galton-Watson treesNov 14 2013Apr 15 2014We consider branching random walks and contact processes on infinite, connected, locally finite graphs whose reproduction and infectivity rates across edges are inversely proportional to vertex degree. We show that when the ambient graph is a Galton-Watson ... More

Stability analysis of delay differential equations via Semidefinite programmingOct 24 2016Jan 02 2017This paper studies the problem of stability of a parameterized delay differential equations (DDE see equation (0.1)). After discretizing the DDE (0.1), we show that the problem can be equivalently casted into a semi-definite programming (SDP) see (3.2), ... More

Data recovery from corrupted observations via l1 minimizationJan 22 2016This paper studies the problem of recovering a signal vector and the corrupted noise vector from a collection of corrupted linear measurements through the solution of a l1 minimization, where the sensing matrix is a partial Fourier matrix whose rows are ... More

Poisson brackets and structure of nongraded Hamiltonian Lie algebras related to locally-finite derivationsApr 05 2003A class of nongraded Hamiltonian Lie algebras was earlier introduced by Xu. These Lie algebras have a Poisson bracket structure. In this paper, the isomorphism classes of these Lie algebras are determined by employing a ``sandwich'' method and by studying ... More

2-Cocycles on the Lie algebras of generalized differential operatorsDec 03 2000In a recent paper by Zhao and the author, the Lie algebras $A[D]=A\otimes F[D]$ of Weyl type were defined and studied, where $A$ is a commutative associative algebra with an identity element over a field $F$ of any characteristic, and $F[D]$ is the polynomial ... More

$B \to X_s μ^+ μ^-$ in Technicolor with ScalarsDec 30 1996We compute the flavor changing neutral current process $B \to X_s \mu^+ \mu^-$ in technicolor models with scalars. We find that the branching ratio can be enhanced relative to that of the Standard Model by as much as 60%. The full parameter space of the ... More

Almost Surely Invariance Principle for Non-stationary and Random Intermittent Dynamical SystemsMar 23 2019We establish almost sure invariance principles (ASIP), a strong form of approximation by Brownian motion, for non-stationary time series arising as observations on sequential maps possessing an indifferent fixed point. These transformations are obtained ... More

Coherent cohomology of Shimura varieties and automorphic formsOct 29 2018We show that the cohomology of canonical extensions of automorphic vector bundles over toroidal compactifications of Shimura varieties can be computed by relative Lie algebra cohomology of automorphic forms. Our result is inspired by and parallel to Borel ... More

Training Generative Adversarial Networks Via Turing TestOct 25 2018Oct 27 2018In this article, we introduce a new mode for training Generative Adversarial Networks (GANs). Rather than minimizing the distance of evidence distribution $\tilde{p}(x)$ and the generative distribution $q(x)$, we minimize the distance of $\tilde{p}(x_r)q(x_f)$ ... More

Equivariant quantum cohomology of cotangent bundle of $G/P$Jan 29 2015Mar 03 2015Let $G$ denote a complex semisimple linear algebraic group, $P$ a parabolic subgroup of $G$ and $\mathcal{P}=G/P$. We identify the quantum multiplication by divisors in $T^*\mathcal{P}$ in terms of stable basis, which is introduced by Maulik and Okounkov. ... More

Problems of the Sensitivity Parameter and Its Relation to the Time-varying Fundamental Couplings ProblemsSep 18 2007Oct 23 2007The sensitivity parameter is widely used for quantifying fine tuning. However, examples show it fails to give correct results under certain circumstances. We argue that these problems only occur when calculating the sensitivity of a dimensionful mass ... More

A generic multiplication in quantised Schur algebrasDec 03 2008We define a generic multiplication in quantised Schur algebras and thus obtain a new algebra structure in the Schur algebras. We prove that via a modified version of the map from quantum groups to quantised Schur algebras, defined by A. A. Beilinson, ... More

Poisson algebras, Weyl algebras and Jacobi pairsJul 06 2011Oct 31 2011We study Jacobi pairs in details and obtained some properties. We also study the natural Poisson algebra structure $(\PP,[...,...],...)$ on the space $\PP:=\C[y]((x^{-\frac1N}))$ for some sufficient large $N$, and introduce some automorphisms of $(\PP,[...,...],...)$ ... More

Ruling polynomials and augmentations for Legendrian tanglesJul 16 2017Associated to Legendrian links in the standard contact three-space, Ruling polynomials are Legendrian isotopy invariants, which also compute augmentation numbers, that is, the points-counting of augmentation varieties for Legendrian links (up to a normalized ... More

The spinor equation for the electromagnetic fieldNov 14 2000We develop a spinor equation of the electromagnetic field, which is equivalent to the Maxwell equation and has a similar form as the Dirac equation. The spinor is the very conjugate momentum of the vector potential in the Lagrangian mechanics. In this ... More

A Metastability Result for the Contact Process on a Random Regular GraphMar 17 2015In this paper we study the metastability of the contact process on a random regular graph. We show that the extinction time of the contact process, when initialized so that all vertices are infected at time 0, grows exponentially with the vertex number. ... More

Compressed sensing with corrupted observationsJan 22 2016We proposed a weighted l1 minimization to recover a sparse signal vector and the corrupted noise vector from a linear measurement when the sensing matrix A is an m by n row i.i.d subgaussian matrix. We obtain both uniform and nonuniform recovery guarantees ... More

Families torsion and Morse functions for covering spacesJan 26 2018May 28 2018In this paper we prove the Cheeger-M\"{u}ller theorem for $L^2$-analytic torsion form under the assumption that there exists a fiberwise Morse function and the Novikov-Shubin invariant is positive.

Equivariant symmetric bilinear torsionsApr 11 2007Apr 20 2007We extend the main result in the previous paper of Zhang and the author relating the Milnor-Turaev torsion with the complex valued analytic torsion to the equivariant case.

Does the 2D Hubbard Model Really Show d-Wave Superconductivity?Apr 20 2001Some issues concerning the question if the two-dimensional Hubbard model really show d-wave superconductivity are briefly discussed.

Exact Ground States of One-Dimensional Quantum Systems: Matrix Product ApproachJun 04 1996By using the so-called matrix-product ground state approach, a few one-dimensional quantum systems, including a frustrated spin-1/2 Heisenberg ladder, the ferromagnetic t-J-V model at half-filling, the antiferromagnetic $J_z-V$ at 2/3 filling and the ... More

Magnetic and Pairing Correlations in Correlated Electron SystemsJan 03 1996Jul 12 1996Magnetic and superconducting pairing correlation functions in a general class of Hubbard models, the t-J model and a single-band Hubbard model with additional bond-charge interaction are investigated, respectively. Some rigorous upper bounds of the corresponding ... More

Rational analogs of projective planesOct 15 2010Jan 17 2014In this paper, we study the existence of high-dimensional, closed, smooth manifolds whose rational homotopy type resembles that of a projective plane. Applying rational surgery, the problem can be reduced to finding possible Pontryagin numbers satisfying ... More

Classification of Quasifinite Modules over the Lie Algebras of Weyl TypeApr 03 2003For a nondegenerate additive subgroup $G$ of the $n$-dimensional vector space $F^n$ over an algebraically closed field $F$ of characteristic zero, there is an associative algebra and a Lie algebra of Weyl type $W(G,n)$ spanned by all differential operators ... More

Free involutions on $S^2 \times S^3$Jul 16 2009Dec 16 2010In this paper, we classify smooth 5-manifolds with fundamental group isomorphic to $\z/2$ and universal cover diffeomorphic to $S^2 \times S^3$. This gives a classification of smooth free involutions on $S^2 \times S^3$ up to conjugation.

Explanation to the Problem of the Naturalness measurementsJul 11 2006May 04 2007The sensitivity parameter is widely used in measuring the severity of fine-tuning, while many examples show it doesn't work under certain circumstances. The validity of the sensitivity is in question. We argue that the dimensional effect is the reason ... More

Sensitivity Parameter and Time Variations of Fundamental ConstantsMar 04 2008Jan 27 2009The sensitivity parameter is widely used for quantifying fine tuning. However, examples show it fails to give correct results under certain circumstances. We argue that the problems of the sensitivity parameter are almost identical to the consequences ... More

A Criterion of Naturalness in RenormalizationJul 06 2005Oct 17 2005The sensitivity criterion is widely used in measuring the level of fine-tuning, although many examples show it doesn't work under certain circumstances. We discuss the mathematics behind the fine-tuning problems, explain the mathematical meanings of the ... More

On the accuracy of conservation of adiabatic invariants in slow-fast systemsMar 08 2011Let the adiabatic invariant of action variable in slow-fast Hamiltonian system with two degrees of freedom have two limiting values along the trajectories as time tends to infinity. The difference of two limits is exponentially small in analytic systems. ... More

Structure of a new class of non-graded infinite dimensional simple Lie algebrasFeb 26 2004A new class of infinite dimensional simple Lie algebras over a field with characteristic 0 are constructed. These are examples of non-graded Lie algebras. The isomorphism classes of these Lie algebras are determined. The structure space of these algebras ... More

A Network-based End-to-End Trainable Task-oriented Dialogue SystemApr 15 2016May 20 2016Teaching machines to accomplish tasks by conversing naturally with humans is challenging. Currently, developing task-oriented dialogue systems requires creating multiple components and typically this involves either a large amount of handcrafting, or ... More

Stability analysis of delay differential equations via Semidefinite programmingOct 24 2016This paper demonstrates that after descretizing a linear delay differential equations (DDE), see (1.1) in the paper, then the stability of the DDE can be analyzed by solving a semi-definite programming (SDP), see (3.2) in this paper, in short, DDE (1.1) ... More

Compressed sensing with corrupted Fourier measurementsJul 18 2016Jan 03 2017This paper studies a data recovery problem in compressed sensing (CS), given a measurement vector b with corruptions: b=Ax0+f0, can we recover x0 and f0 via the reweighted l1 minimization: minimize |x| + lambda*|f| subject to Ax+f=b? Here the m by n measurement ... More

Continuously Learning Neural Dialogue ManagementJun 08 2016We describe a two-step approach for dialogue management in task-oriented spoken dialogue systems. A unified neural network framework is proposed to enable the system to first learn by supervision from a set of dialogue data and then continuously improve ... More

A note on path a-infinity-algebras over positively graded quiversJan 17 2016Let A be a path A-infinity-algebra over a positively graded quiver Q. It is proved that the derived category of A is triangulated equivalent to the derived category of kQ, which is viewed as a dg algebra with trivial differential. The main technique used ... More

Between Homomorphic Signal Processing and Deep Neural Networks: Constructing Deep Algorithms for Polyphonic Music TranscriptionJun 26 2017This paper presents a new approach in understanding how deep neural networks (DNNs) work by applying homomorphic signal processing techniques. Focusing on the task of multi-pitch estimation (MPE), this paper demonstrates the equivalence relation between ... More

On the Convergence Rate of Average Consensus and Distributed Optimization over Unreliable NetworksJun 28 2016Dec 07 2018We consider the problems of reaching average consensus and solving consensus-based optimization over unreliable communication networks wherein packets may be dropped accidentally during transmission. Existing work either assumes that the link failures ... More

Vocal melody extraction using patch-based CNNApr 24 2018A patch-based convolutional neural network (CNN) model presented in this paper for vocal melody extraction in polyphonic music is inspired from object detection in image processing. The input of the model is a novel time-frequency representation which ... More

A note on the $\mathbb Z_2$-equivariant Montgomery-Yang correspondenceAug 21 2009In this paper, a classification of free involutions on 3-dimensional homotopy complex projective spaces is given. By the $\mathbb Z_2$-equivariant Montgomery-Yang correspondence, we obtain all smooth involutions on $S^6$ with fixed-point set an embedded ... More

Naturalness and Naturalness CriteriaFeb 28 2005Mar 18 2005We analysis how to describe the level of naturalness and pointed out that Barbieri and Giudice's the widely adopted sensitivity criteria of naturalness can not reflect the level of naturalness correctly, we analysis the problems of the sensitivity criteria ... More

Feudal Reinforcement Learning for Dialogue Management in Large DomainsMar 08 2018Reinforcement learning (RL) is a promising approach to solve dialogue policy optimisation. Traditional RL algorithms, however, fail to scale to large domains due to the curse of dimensionality. We propose a novel Dialogue Management architecture, based ... More

Sub-domain Modelling for Dialogue Management with Hierarchical Reinforcement LearningJun 19 2017Jul 17 2017Human conversation is inherently complex, often spanning many different topics/domains. This makes policy learning for dialogue systems very challenging. Standard flat reinforcement learning methods do not provide an efficient framework for modelling ... More

Exploiting Sentence and Context Representations in Deep Neural Models for Spoken Language UnderstandingOct 13 2016This paper presents a deep learning architecture for the semantic decoder component of a Statistical Spoken Dialogue System. In a slot-filling dialogue, the semantic decoder predicts the dialogue act and a set of slot-value pairs from a set of n-best ... More

On-line Active Reward Learning for Policy Optimisation in Spoken Dialogue SystemsMay 24 2016Jun 02 2016The ability to compute an accurate reward function is essential for optimising a dialogue policy via reinforcement learning. In real-world applications, using explicit user feedback as the reward signal is often unreliable and costly to collect. This ... More

A Network-based End-to-End Trainable Task-oriented Dialogue SystemApr 15 2016Apr 24 2017Teaching machines to accomplish tasks by conversing naturally with humans is challenging. Currently, developing task-oriented dialogue systems requires creating multiple components and typically this involves either a large amount of handcrafting, or ... More

A Gauge-Invariant Reorganization of Thermal Gauge TheoryApr 18 2011May 06 2011This dissertation is devoted to the study of thermodynamics for quantum gauge theories. The poor convergence of quantum field theory at finite temperature has been the main obstacle in the practical applications of thermal QCD for decades. In this dissertation ... More

On the Peaks of a Stochastic Heat Equation on a Sphere with a Large RadiusOct 15 2018Nov 30 2018For every $R>0$, consider the stochastic heat equation $\partial_{t} u_{R}(t\,,x)=\tfrac12 \Delta_{S_{R}^{2}}u_{R}(t\,,x)+\sigma(u_{R}(t\,,x)) \xi_{R}(t\,,x)$ on $S_{R}^{2}$, where $\xi_{R}=\dot{W_{R}}$ are centered Gaussian noises with the covariance ... More

Single Heavy MSSM Higgs Production at e+e- Linear ColliderOct 31 2002We briefly review the single heavy Higgs production at high energy e+e- linear collider, \gamma\gamma collider and e-\gamma collider. We present the recent results for e+e- --> W^{\pm}H^{\mp} in the Minimal Supersymmetric Standard Model and preliminary ... More

Phase Separation in the Two-Dimensional Hubbard ModelSep 17 1996By making use of known exact results and symmetry properties for the one-band Hubbard model, we show in a somewhat exact manner that there is no phase separation on a square lattice at arbitrary fillings at finite temperature for both attractive and repulsive ... More

O-GAN: Extremely Concise Approach for Auto-Encoding Generative Adversarial NetworksMar 05 2019In this paper, we propose Orthogonal Generative Adversarial Networks (O-GANs). We decompose the network of discriminator orthogonally and add an extra loss into the objective of common GANs, which can enforce discriminator become an effective encoder. ... More

GAN-QP: A Novel GAN Framework without Gradient Vanishing and Lipschitz ConstraintNov 18 2018Dec 15 2018We know SGAN may have a risk of gradient vanishing. A significant improvement is WGAN, with the help of 1-Lipschitz constraint on discriminator to prevent from gradient vanishing. Is there any GAN having no gradient vanishing and no 1-Lipschitz constraint ... More

A note on path a-infinity-algebras over positively graded quiversJan 17 2016Oct 30 2016Let A be a path A-infinity-algebra over a positively graded quiver Q. It is proved that the derived category of A is triangulated equivalent to the derived category of kQ, which is viewed as a dg algebra with trivial differential. The main technique used ... More

Injectivity of Keller MappingsOct 17 2013Jul 20 2016It is proved that for a Jacobi pair $(F,G)\in C[x,y]^2$, the Keller mapping: $(a,b)\mapsto(F(a,b),G(a,b))$ for $(a,b)\in C^2$, is injective. In particular, the $2$-dimensional Jacobi conjecture holds.

Starshaped locally convex hypersurfaces with prescribed curvature and boundaryOct 17 2013Apr 11 2015In this paper we find strictly locally convex hypersurfaces in $\mathbb{R}^{n+1}$ with prescribed curvature and boundary. The main result is that if the given data admits a strictly locally convex radial graph as a subsolution, we can find a radial graph ... More

The STONE Transform: Multi-Resolution Image Enhancement and Real-Time Compressive VideoNov 14 2013Nov 15 2013Compressed sensing enables the reconstruction of high-resolution signals from under-sampled data. While compressive methods simplify data acquisition, they require the solution of difficult recovery problems to make use of the resulting measurements. ... More

Interstellar Medium Mitigation Techniques in Pulsar Timing ArraysJan 21 2015Pulsar Timing Arrays use a set of millisecond pulsars in an attempt to directly detect nanohertz gravitational waves. For this purpose, high precision timing of the pulsars is essential and ultimately a precision of the order of ~100 ns is required. Propagation ... More

A Survey on Deep Learning based Brain Computer Interface: Recent Advances and New FrontiersMay 10 2019Jun 04 2019Brain-Computer Interface (BCI) bridges the human's neural world and the outer physical world by decoding individuals' brain signals into commands recognizable by computer devices. Deep learning has lifted the performance of brain-computer interface systems ... More

On the Beta TransformationDec 27 2018Jan 04 2019The beta transformation is the iterated map $\beta x\mod1$. The special case of $\beta=2$ is known as the Bernoulli map, and is exactly solvable. The Bernoulli map provides a model for pure, unrestrained chaotic (ergodic) behavior: it is the full invariant ... More

DeepRec: An Open-source Toolkit for Deep Learning based RecommendationMay 25 2019Deep learning based recommender systems have been extensively explored in recent years. However, the large number of models proposed each year poses a big challenge for both researchers and practitioners in reproducing the results for further comparisons. ... More

Optimizing Throughput Fairness of Cluster-based Cooperation in Underlay Cognitive WPCNsApr 19 2019In this paper, we consider a secondary wireless powered communication network (WPCN) underlaid to a primary point-to-point communication link. The WPCN consists of a multi-antenna hybrid access point (HAP) that transfers wireless energy to a cluster of ... More

Durkheim Project Data Analysis ReportOct 24 2013This report describes the suicidality prediction models created under the DARPA DCAPS program in association with the Durkheim Project [http://durkheimproject.org/]. The models were built primarily from unstructured text (free-format clinician notes) ... More

Hausdorff dimension of the graph of an operator semistable Lévy processJun 01 2015Let $X=\{X(t):t\geq0\}$ be an operator semistable L\'evy process in $\mathbb{R}^d$ with exponent $E$, where $E$ is an invertible linear operator on $\mathbb{R}^d$. For an arbitrary Borel set $B\subseteq\mathbb{R}_+$ we interpret the graph $Gr_X(B)=\{(t,X(t)):t\in ... More

Traffic and Statistical Multiplexing Characterization of 3D Video Representation Formats (Extended Version)Nov 22 2013The network transport of 3D video, which contains two views of a video scene, poses significant challenges due to the increased video data compared to conventional single-view video. Addressing these challenges requires a thorough understanding of the ... More

Multiscale modeling of diffusion in a crowded environmentMar 12 2016We present a multiscale approach to model diffusion in a crowded environment and its effect on the reaction rates. Diffusion in biological systems is often modeled by a discrete space jump process in order to capture the inherent noise of biological systems, ... More

A calculation of a half-integral weight multiplier system on SU(2,1)Jul 11 2011In this thesis, we construct a half-integral weight multiplier system on the group SU(2,1). In order to do so, we first find a formula for a 2-cocycle representing the double cover of SU(2,1)(k), where k is a local field. For each non-archimedean local ... More

A Remark on Regular Points of Ricci Limit SpacesAug 28 2015Jan 19 2016Let $Y$ be a Gromov-Hausdorff limit of complete Riemannian n-manifolds with Ricci curvature bounded from below. A point in $Y$ is called $k$-regular, if its tangent is unique and is isometric to an $k$-dimensional Euclidean space. By \cite{B5}, there ... More

On the Minkowski MeasureOct 07 2008Oct 08 2008The Minkowski Question Mark function relates the continued-fraction representation of the real numbers, to their binary expansion. This function is peculiar in many ways; one is that its derivative is 'singular'. One can show by classical techniques that ... More

Asymptotic behavior of the Kobayashi metric on convex domainsNov 11 2009In this paper, we calculate estimates for invariant metrics on a finite type convex domain in $\mathbb C^n$ using the Sibony metric. We also discuss a possible modification of the Sibony metric.