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Dissipation assisted long-range order in coupled qubitsJun 13 2016We theoretically investigate a possibility to establish long-range order in one-dimensional chains of qubits. We combine a reservoir engineering strategy with coherent dynamics to generate multi-qubit entangled states. We find that an interplay between ... More

Dissipation-assisted quantum correlations in coupled qubitsJun 13 2016Nov 30 2016We theoretically investigate a possibility to establish multi-qubit quantum correlations in one-dimensional chains of qubits. We combine a reservoir engineering strategy with coherent dynamics to generate multi-qubit entangled states. We find that an ... More

Working women and caste in India: A study of social disadvantage using feature attributionApr 27 2019Women belonging to the socially disadvantaged caste-groups in India have historically been engaged in labour-intensive, blue-collar work. We study whether there has been any change in the ability to predict a woman's work-status and work-type based on ... More

Cavity assisted generation of sustainable macroscopic entanglement of ultracold gasesJun 30 2015Prospects for reaching persistent entanglement between two spatially separated atomic Bose-Einstein condensates are outlined. The system set-up comprises of two condensates loaded in an optical lattice, which, in return, is confined within a high-Q optical ... More

Density, phase and coherence properties of a low dimensional Bose-Einstein systems moving in a disordered potentialMar 17 2009We present a detailed numerical study of the dynamics of a disordered one-dimensional Bose-Einstein condensates in position and momentum space. We particularly focus on the region where non-linearity and disorder simultaneously effect the time propagation ... More

Technology utilization patterns and business growth in Small/Medium EnterprisesAug 12 2018Technology was created to support and grow Business. Modern business that uses technology efficiently, grows at a phenomenal rate (Statista.com, 2018). The assumption therefore is that businesses that utilize insufficient technology, or use technology ... More

Algorithms for Probabilistically-Constrained Models of Risk-Averse Stochastic Optimization with Black-Box DistributionsMay 04 2008We consider various stochastic models that incorporate the notion of risk-averseness into the standard 2-stage recourse model, and develop novel techniques for solving the algorithmic problems arising in these models. A key notable feature of our work ... More

An all-optical feedback assisted steady state of an optomechanical arrayAug 15 2013Feb 05 2014We explore the effect of all-optical feedback on the steady state dynamics of optomechanical arrays arising from various topologies. First we consider an array comprised of a pair of independent optomechanical cavities coupled reversibly via their optical ... More

Personalization in Goal-Oriented DialogJun 22 2017Dec 15 2017The main goal of modeling human conversation is to create agents which can interact with people in both open-ended and goal-oriented scenarios. End-to-end trained neural dialog systems are an important line of research for such generalized dialog models ... More

An Efficient Graph Convolutional Network Technique for the Travelling Salesman ProblemJun 04 2019This paper introduces a new learning-based approach for approximately solving the Travelling Salesman Problem on 2D Euclidean graphs. We use deep Graph Convolutional Networks to build efficient TSP graph representations and output tours in a non-autoregressive ... More

Quantum state engineering in hybrid open quantum systemsSep 11 2015Mar 29 2016We investigate a possibility to generate non-classical states in light-matter coupled noisy quantum systems, namely the anisotropic Rabi and Dicke models. In these hybrid quantum systems a competing influence of coherent internal dynamics and environment ... More

Turn-key, high-efficiency Kerr comb sourceJul 16 2019We demonstrate an approach for automated Kerr comb generation in the normal group-velocity dispersion (GVD) regime. Using a coupled-ring geometry in silicon nitride, we precisely control the wavelength location and splitting strength of avoided mode crossings ... More

Improving Grid Based Bayesian MethodsSep 29 2016In some cases, computational benefit can be gained by exploring the hyper parameter space using a deterministic set of grid points instead of a Markov chain. We view this as a numerical integration problem and make three unique contributions. First, we ... More

Quantum correlations in the 1-D driven dissipative transverse field XY modelOct 03 2013Jan 08 2014We study the non-equilibrium steady state (NESS) of a driven dissipative one-dimensional system near a critical point, and explore how the quantum correlations compare to the known critical behavior in the ground state. The model we study corresponds ... More

Visible Nonlinear PhotonicsJul 10 2019Over the past decade, remarkable advances have been realized in chip-based nonlinear photonic devices for classical and quantum applications in the near- and mid-infrared regimes. However, few demonstrations have been realized in the visible and near-visible ... More

Truthful Mechanism Design for Multidimensional Covering ProblemsNov 14 2012Sep 10 2013We investigate {\em multidimensional covering mechanism-design} problems, wherein there are $m$ items that need to be covered and $n$ agents who provide covering objects, with each agent $i$ having a private cost for the covering objects he provides. ... More

Microsoft AI Challenge India 2018: Learning to Rank Passages for Web Question Answering with Deep Attention NetworksJun 14 2019This paper describes our system for The Microsoft AI Challenge India 2018: Ranking Passages for Web Question Answering. The system uses the biLSTM network with co-attention mechanism between query and passage representations. Additionally, we use self ... More

Markovian evolution of strongly coupled harmonic oscillatorsSep 17 2013Dec 16 2014We investigate how to model Markovian evolution of coupled harmonic oscillators, each of them interacting with a local environment. When the coupling between the oscillators is weak, dissipation may be modeled using local Lindblad terms for each of the ... More

Generating strong squeezing in the dispersive regime of the quantum Rabi modelJul 14 2016We present a protocol to generate a large degree of squeezing of a boson (light) field mode strongly coupled to a two-level system in the dispersive regime. Our protocol exploits the strong dispersive coupling to introduce a time dependent frequency change ... More

Tunability of the Dual Feedback Genetic Oscillator Modeled by the Asymmetry in Transcription and TranslationMay 15 2019Oscillatory gene circuits are ubiquitous to biology and are involved in fundamental processes of cell cycle, circadian rhythms and developmental systems. The synthesis of small, non-natural oscillatory genetic circuits have been increasingly used to test ... More

Entanglement of distant optomechanical systemsNov 10 2011Mar 13 2012We theoretically investigate the possibility to generate non-classical states of optical and mechanical modes of optical cavities, distant from each other. A setup comprised of two identical cavities, each with one fixed and one movable mirror and coupled ... More

Constructive role of dissipation for driven coupled bosonic modesNov 07 2011Jun 12 2013We theoretically investigate a system of two coupled bosonic modes subject to both dissipation and external driving. We show that in the steady state the degree of entanglement between the coupled bosonic modes can be enhanced by dissipation. The non-monotonic ... More

Quantum entanglement of anharmonic oscillatorsMay 11 2011Mar 13 2012We investigate the quantum entanglement dynamics of undriven anharmonic (nonlinear) oscillators with quartic potentials. We first consider the indirect interaction between two such nonlinear oscillators mediated by a third, linear oscillator and show ... More

Alternative passive maps in the Brayton-Moser framework: Implications on control and optimizationMay 02 2018In the recent years, passivity theory has gained renewed attention because of its advantages and practicality in modeling of multi-domain systems and constructive control techniques. Unlike Lyapunov theory, passivity theory takes a behavioral approach ... More

The structure of chaotic eigenstates and their entanglement entropyJun 10 2019We consider a chaotic many-body system that is split into two subsystems, with an interaction along their mutual boundary, and study the entanglement properties of an energy eigenstate with nonzero energy density. When the two subsystems have nearly equal ... More

Approximation Algorithms for Clustering Problems with Lower Bounds and OutliersAug 04 2016Sep 29 2016We consider clustering problems with {\em non-uniform lower bounds and outliers}, and obtain the {\em first approximation guarantees} for these problems. We have a set $\F$ of facilities with lower bounds $\{L_i\}_{i\in\F}$ and a set $\D$ of clients located ... More

Approximation Algorithms for Distributionally Robust Stochastic Optimization with Black-Box DistributionsApr 16 2019Two-stage stochastic optimization is a framework for modeling uncertainty, where we have a probability distribution over possible realizations of the data, called scenarios, and decisions are taken in two stages: we make first-stage decisions knowing ... More

Relaxation to gaussian and generalized Gibbs states in systems of particles with quadratic hamiltoniansSep 11 2018Oct 31 2018We present an elementary, general, and semi-quantitative description of relaxation to gaussian and generalized Gibbs states in lattice models of fermions or bosons with quadratic hamiltonians. Our arguments apply to arbitrary initial states that satisfy ... More

Interpolating between $k$-Median and $k$-Center: Approximation Algorithms for Ordered $k$-MedianNov 23 2017We consider a generalization of $k$-median and $k$-center, called the {\em ordered $k$-median} problem. In this problem, we are given a metric space $(\mathcal{D},\{c_{ij}\})$ with $n=|\mathcal{D}|$ points, and a non-increasing weight vector $w\in\mathbb{R}_+^n$, ... More

Approximating Min-Cost Chain-Constrained Spanning Trees: A Reduction from Weighted to Unweighted ProblemsMay 10 2016We study the {\em min-cost chain-constrained spanning-tree} (abbreviated \mcst) problem: find a min-cost spanning tree in a graph subject to degree constraints on a nested family of node sets. We devise the {\em first} polytime algorithm that finds a ... More

Min-Max Theorems for Packing and Covering Odd $(u,v)$-trailsAug 23 2017We investigate the problem of packing and covering odd $(u,v)$-trails in a graph. A $(u,v)$-trail is a $(u,v)$-walk that is allowed to have repeated vertices but no repeated edges. We call a trail odd if the number of edges in the trail is odd. Let $\nu(u,v)$ ... More

Towards Automatic Generation of Shareable Synthetic Clinical Notes Using Neural Language ModelsMay 16 2019May 21 2019Large-scale clinical data is invaluable to driving many computational scientific advances today. However, understandable concerns regarding patient privacy hinder the open dissemination of such data and give rise to suboptimal siloed research. De-identification ... More

Intermediate-term periodicities in soft X-ray flare index during solar cycles 21, 22 and 23Feb 13 2006Sep 26 2006We have analyzed the intermediate term periodicities in soft X-ray flare index ($FI_{SXR}$) during solar cycles 21, 22 and 23. Power spectral analysis of daily $FI_{SXR}$ reveals a significant period of 161 days in cycle 21 which is absent during cycle ... More

The north-south asymmetry of soft X-ray flare index during solar cycles 21, 22 and 23Sep 26 2006In this paper the N-S asymmetry of the soft X-ray flare index during the solar cycles 21, 22 and 23 has been analyzed. The results show the existence of a real N-S asymmetry which is strengthened during solar minimum. The slope of the regression lines ... More

Lattice Recurrent Unit: Improving Convergence and Statistical Efficiency for Sequence ModelingOct 06 2017Nov 22 2017Recurrent neural networks have shown remarkable success in modeling sequences. However low resource situations still adversely affect the generalizability of these models. We introduce a new family of models, called Lattice Recurrent Units (LRU), to address ... More

Bounded StatisticsAug 04 2018Aug 15 2018If two probability density functions (PDFs) have values for their first $n$ moments which are quite close to each other (upper bounds of their differences are known), can it be expected that the PDFs themselves are very similar? Shown below is an algorithm ... More

Nonlinear Equivalent Resistance-based Maximum Power Point Tracking (MPPT)Jun 04 2019Jun 09 2019We present a nonlinear equivalent resistance tracking method to optimize the power output for solar arrays. Tracking an equivalent resistance results in nonlinear voltage step sizes in the gradient descent search loop. We introduce a new model for the ... More

Conformational switching of chiral colloidal rafts regulates raft-raft attractions and repulsionsFeb 09 2019Membrane-mediated particle interactions depend both on the properties of the particles themselves and the membrane environment in which they are suspended. Experiments have shown that chiral rod-like inclusions dissolved in a colloidal membrane of opposite ... More

Unified description of the optical phonon modes in $N$-layer MoTe$_2$Sep 09 2015Sep 28 2015$N$-layer transition metal dichalcogenides provide a unique platform to investigate the evolution of the physical properties between the bulk (three dimensional) and monolayer (quasi two-dimensional) limits. Here, using high-resolution micro-Raman spectroscopy, ... More

Gas-phase microresonator-based comb spectroscopy without an external pump laserJun 04 2018We present a novel approach to realize microresonator-comb-based high resolution spectroscopy that combines a fiber-laser cavity with a microresonator. Although the spectral resolution of a chip-based comb source is typically limited by the free spectral ... More

Text Modeling using Unsupervised Topic Models and Concept HierarchiesAug 07 2008Statistical topic models provide a general data-driven framework for automated discovery of high-level knowledge from large collections of text documents. While topic models can potentially discover a broad range of themes in a data set, the interpretability ... More

Improved Region-Growing and Combinatorial Algorithms for $k$-Route Cut ProblemsOct 19 2014We study the {\em $k$-route} generalizations of various cut problems, the most general of which is \emph{$k$-route multicut} ($k$-MC) problem, wherein we have $r$ source-sink pairs and the goal is to delete a minimum-cost set of edges to reduce the edge-connectivity ... More

Approximation Algorithms for Non-Single-minded Profit-Maximization Problems with Limited SupplyNov 30 2013We consider {\em profit-maximization} problems for {\em combinatorial auctions} with {\em non-single minded valuation functions} and {\em limited supply}. We obtain fairly general results that relate the approximability of the profit-maximization problem ... More

Fault-Tolerant Facility Location: a randomized dependent LP-rounding algorithmMar 05 2010We give a new randomized LP-rounding 1.725-approximation algorithm for the metric Fault-Tolerant Uncapacitated Facility Location problem. This improves on the previously best known 2.076-approximation algorithm of Swamy & Shmoys. To the best of our knowledge, ... More

HAWC High Energy Upgrade with a Sparse ArrayJan 23 2017The High Altitude Water Cherenkov (HAWC) gamma-ray observatory has been fully operational since March 2015. To improve its sensitivity at the highest energies, it is being upgraded with an additional sparse array called outrigger array. We will discuss ... More

Order of magnitude time-reversible Markov chains and characterization of clustering processesOct 25 2011We introduce the notion of order of magnitude reversibility (OM-reversibility) in Markov chains that are parametrized by a positive parameter $\ep$. OM-reversibility is a weaker condition than reversibility, and requires only the knowledge of order of ... More

On varieties with trivial tangent bundleMar 30 2016I prove a crystalline characterization of abelian varieties in characteristic $p>0$ amongst the class of varieties with trivial tangent bundle. I show using my characterization that a smooth, projective, ordinary variety with trivial tangent bundle is ... More

Ordinary reductions of abelian varietiesMar 30 2016I show that a conjecture of Joshi-Rajan on primes of Hodge-Witt reduction and in particular a conjecture of Jean-Pierre Serre on primes of good, ordinary reduction for an abelian variety over a number field follows from a certain conjecture on Galois ... More

On the Grothendieck ring of varieties in positive characteristicNov 06 2018Let $k$ be an algebraically closed field of characteristic $p>0$. I prove that the ring of smooth, complete $k$-varieties and Bittner relations contains zero divisors if $p>13$ or $p=11$. In particular it follows, under the same hypothesis, that the isomorphism ... More

A Particle In Cell code development for high current ion beam transport and plasma simulationsJun 20 2016A simulation package employing a Particle in Cell (PIC) method is developed to study the high current beam transport and the dynamics of plasmas. This package includes subroutines those are suited for various planned projects at University of Frankfurt. ... More

The Second Painlevé Equation in the Large-Parameter Limit I: Local Asymptotic AnalysisOct 24 1997In this paper, we find all possible asymptotic behaviours of the solutions of the second Painlev\'e equation $y''=2y^3+xy +\alpha$ as the parameter $\alpha\to\infty$ in the local region $x\ll\alpha^{2/3}$. We prove that these are asymptotic behaviours ... More

Mochizuki's anabelian variation of ring structures and formal groupsJun 17 2019I show that there is a universal formal group (over a suitable (non-zero) ring) which is equipped with an action of the multiplicative monoid $\mathcal{O}^\triangleright$ of non-zero elements of the ring of integers of a $p$-adic field. Lubin-Tate formal ... More

On determinantal equations for curves and Frobenius split hypersurfacesJan 10 2019I consider the problem of existence of intrinsic determinantal equations for plane projective curves and hypersurfaces in projective space and prove that in many cases of interest there exist intrinsic determinantal equations. In particular I prove (1) ... More

Rayleigh-Taylor Instability in Viscoelastic FluidsAug 03 2013In this paper I analyze the onset of Rayleigh-Taylor instability between two linear viscoelastic fluids assuming that the perturbations at the interface are small. In the first half, the paper analyzes a stratified viscoelastic fluid in which I prove ... More

A remark on Ulrich and ACM bundlesNov 16 2017Jan 10 2019I show that on any smooth, projective ordinary curve of genus at least two and a projective embedding, there is a natural example of a stable Ulrich bundle for this embedding: namely the sheaf $B^1_X$ of locally exact differentials twisted by $\O_X(1)$ ... More

From Citation count to Argumentation count: a new metric to indicate the usefulness of an articleJun 26 2014Citation count is a quantifiable measure to indicate the number of times an article is cited by other articles. It is believed that if an article is cited often then it must be an important or influential article; however, there is no guarantee that the ... More

An Overview of Geometric Asymptotic Analysis of Continuous and Discrete Painlevé EquationsNov 25 2013The classical Painlev\'e equations are so well known that it may come as a surprise to learn that the asymptotic description of its solutions remains incomplete. The problem lies mainly with the description of families of solutions in the complex domain. ... More

Methods for constructing elliptic and hyperelliptic curves with rational pointsNov 16 2017Jan 18 2018I provide methods of constructing elliptic and hyperelliptic curves over global fields with interesting rational points over the given fields or over large field extensions. I also provide a elliptic curves defined over any given number field equipped ... More

Single Top Quark Production at DØMay 21 2012We present new measurements of the single top quark production cross section in \ppbar collisions at $\sqrt{s} = 1.96 TeV$ using data corresponding to 5.4 \ifb of integrated luminosity collected by the {\dzero} detector at the Fermilab Tevatron collider. ... More

On the construction of Weakly Ulrich bundlesJan 10 2019I provide a construction of intrinsic weakly Ulrich bundles of large rank on any smooth complete surface in ${\bf P}^3$ over fields of characteristic $p>0$ and also for some classes of surfaces of general type in ${\bf P}^n$. I also construct intrinsic ... More

A Quantitative Study of the Impact of Social Media Reviews on Brand PerceptionOct 23 2017This thesis can be categorized under the Influencer Marketing industry with respect to social media initiatives. Influencer marketing is a modern tactic used by brands to enhance their visibility to their target audience by using the services of influential ... More

Combinational neural network using Gabor filters for the classification of handwritten digitsSep 18 2017A classification algorithm that combines the components of k-nearest neighbours and multilayer neural networks has been designed and tested. With this method the computational time required for training the dataset has been reduced substancially. Gabor ... More

A Local Asymptotic Analysis of the First Discrete Painlevé Equation as the Discrete Independent Variable Approaches InfinityJul 25 1996The first discrete Painlev\'e equation (dPI), which appears in a model of quantum gravity, is an integrable nonlinear nonautonomous difference equation which yields the well known first Painlev\'e equation (PI) in a continuum limit. The asymptotic study ... More

Can Sound Waves be Slowed?Jul 15 2018Jul 21 2018Dielectric fluids experience a striction force in the presence of an external electric field. Although the striction force on the entire body of the fluid is usually zero, it does contribute to its deformations. In this paper, I show that the speed of ... More

Plane Poiseuille flow through a porous medium - an analytical solutionApr 27 2013Jul 15 2016This paper develops a closed-form, analytical expression for the Darcy velocity of a Newtonian fluid flowing through a channel filled with a porous medium, bound by rigid walls and driven by a constant pressure gradient. We express the Darcy velocity ... More

A detailed balanced reaction network is sufficient but not necessary for its Markov chain to be detailed balancedDec 15 2013Dec 26 2014Certain chemical reaction networks (CRNs) when modeled as a deterministic dynamical system taken with mass-action kinetics have the property of reaction network detailed balance (RNDB) which is achieved by imposing network-related constraints on the reaction ... More

Complete characterization by multistationarity of fully open networks with one non-flow reactionJul 25 2012Jan 17 2013This article characterizes certain small multistationary chemical reaction networks. We consider the set of fully open networks, those for which all chemical species participate in inflow and outflow, containing one non-flow (reversible or irreversible) ... More

Ordinarity of configuration spaces and of wonderful compactificationsMay 17 2010We prove the following: (1) if $X$ is ordinary, the Fulton-MacPherson configuration space $X[n]$ is ordinary for all $n$; (2) the moduli of stable $n$-pointed curves of genus zero is ordinary. (3) More generally we show that a wonderful compactification ... More

A method for construction of rational points over elliptic curvesMay 21 2017Jan 18 2018I provide a systematic construction of points (defined over number fields) on Legendre elliptic curves over $\mathbb{Q}$: for any odd integer $n\geq 3$ my method constructs $n$ points on the Legendre curve and I show that rank of the subgroup of the Mordell-Weil ... More

Crystalline aspects of geography of low dimensional varieties I: NumerologyMar 25 2014Nov 06 2018This is a modest attempt to study, in a systematic manner, the structure of low dimensional varieties in positive characteristics using $p$-adic invariants. The main objects of interest in this paper are surfaces and threefolds. It is known that there ... More

Stress due to Electric and Magnetic fields in Viscoelastic FluidsMay 18 2013A clear understanding of body force densities due to external electromagnetic fields is necessary to study flow and deformation of materials exposed to the fields. In this paper, we derive an expression for stress in continua with viscous and elastic ... More

Crystalline aspects of geography of low dimensional varieties I: NumerologyMar 25 2014This is a modest attempt to study, in a systematic manner, the structure of low dimensional varieties in positive characteristics using $p$-adic invariants. The main objects of interest in this paper are surfaces and threefolds. It is known that there ... More

Direct "Delay" Reductions of the Toda EquationOct 30 2008A new direct method of obtaining reductions of the Toda equation is described. We find a canonical and complete class of all possible reductions under certain assumptions. The resulting equations are ordinary differential-difference equations, sometimes ... More

The degree of the dormant operatic locusNov 18 2013Mar 30 2016Let $X$ be a smooth, projective curve of genus $g\geq 2$ over an algebraically closed field of characteristic $p>0$. I provide a conjectural formula for the degree of the scheme of dormant ${\rm PGL}(r)$-opers on $X$ where $r\geq 2$ (I assume that $p$ ... More

Quicksilver Solutions of a q-difference first Painlevé equationJun 21 2013Jul 07 2014In this paper, we present new, unstable solutions, which we call quicksilver solutions, of a $q$-difference Painlev\'e equation in the limit as the independent variable approaches infinity. The specific equation we consider in this paper is a discrete ... More

Time Series Analysis and Forecasting of the US Housing Starts using Econometric and Machine Learning ModelMay 20 2019In this research paper, I have performed time series analysis and forecasted the monthly value of housing starts for the year 2019 using several econometric methods - ARIMA(X), VARX, (G)ARCH and machine learning algorithms - artificial neural networks, ... More

Learning in Competitive Network with Haeusslers Equation adapted using FIREFLY algorithmJul 09 2019Many of the competitive neural network consists of spatially arranged neurons. The weigh matrix that connects cells represents local excitation and long-range inhibition. They are known as soft-winner-take-all networks and shown to exhibit desirable information-processing. ... More

A method for construction of rational points over elliptic curves II: Points over solvable extensionsJan 18 2018I provide a systematic construction of points, defined over finite radical extensions, on any Legendre curve over any field of characteristic not equal two. This includes as special case Douglas Ulmer's construction of rational points over a rational ... More

Population I Cepheids and star formation history of the Large Magellanic CloudOct 08 2013Nov 08 2013In this paper we study the Cepheids distribution in the Large Magellanic Cloud (LMC) as a function of their ages using data from the OGLE III photometric catalogue. To determine age of the Pop I Cepheids, we derived a period-age (PA) relationship using ... More

Asteroseismology of Pulsating StarsOct 23 2015The success of helioseismology is due to its capability of measuring p-mode oscillations in the Sun. This allows us to extract informations on the internal structure and rotation of the Sun from the surface to the core. Similarly, asteroseismology is ... More

A Generalized Master Equation for Janus Faced Coherent StatesJun 01 2010A general master equation for eigenstates of Janus Faced commutation relations is constructed.

Energy-Efficient Adaptive Power Allocation for Incremental MIMO SystemsMar 25 2015We consider energy-efficient adaptive power allocation for three incremental multiple-input multiple-output (IMIMO) systems employing ARQ, hybrid ARQ (HARQ) with Chase combining (CC), and HARQ with incremental redundancy (IR), to minimize their rate-outage ... More

Modeling Population Cell Size Variability in E. coliJan 10 2016Jan 14 2016The sizes in a population of genetically identical {\it Escherichia coli} cells is known to vary, independent of growth stage. Multiple genes and proteins involved in cell division and DNA segregation are involved in regulating cell size. At the same ... More

Steiljes electrostatic model with imaginary charges resolves wave-particle dualitySep 20 2016In this paper, we show that the quantum bound state problems are mapped to $N$ point vortices with the identical circulation or strength using the Steiljes electrostatic model with imaginary charges. We also show that these $N$ point charges or vortices, ... More

Distributed Algorithms for Complete and Partial Information Games on Interference ChannelsJan 29 2016We consider a Gaussian interference channel with independent direct and cross link channel gains, each of which is independent and identically distributed across time. Each transmitter-receiver user pair aims to maximize its long-term average transmission ... More

Power Allocation Games on Interference Channels with Complete and Partial InformationJan 19 2015We consider a wireless channel shared by multiple transmitter-receiver pairs. Their transmissions interfere with each other. Each transmitter-receiver pair aims to maximize its long-term average transmission rate subject to an average power constraint. ... More

SAWNet: A Spatially Aware Deep Neural Network for 3D Point Cloud ProcessingMay 18 2019Deep neural networks have established themselves as the state-of-the-art methodology in almost all computer vision tasks to date. But their application to processing data lying on non-Euclidean domains is still a very active area of research. One such ... More

Addressing Limited Data for Textual Entailment Across DomainsJun 08 2016We seek to address the lack of labeled data (and high cost of annotation) for textual entailment in some domains. To that end, we first create (for experimental purposes) an entailment dataset for the clinical domain, and a highly competitive supervised ... More

Information RevolutionAug 07 2003The world is passing through a major revolution called the information revolution, in which information and knowledge is becoming available to people in unprecedented amounts wherever and whenever they need it. Those societies which fail to take advantage ... More

Local-Search based Approximation Algorithms for Mobile Facility Location ProblemsJan 18 2013We consider the {\em mobile facility location} (\mfl) problem. We are given a set of facilities and clients located in a common metric space. The goal is to move each facility from its initial location to a destination and assign each client to the destination ... More

A Novel Bid Optimizer for Sponsored Search Auctions based on Cooperative Game TheoryJun 25 2009Jun 30 2009In this paper, we propose a bid optimizer for sponsored keyword search auctions which leads to better retention of advertisers by yielding attractive utilities to the advertisers without decreasing the revenue to the search engine. The bid optimizer is ... More

A Simple Joint Model for Improved Contextual Neural LemmatizationApr 04 2019English verbs have multiple forms. For instance, talk may also appear as talks, talked or talking, depending on the context. The NLP task of lemmatization seeks to map these diverse forms back to a canonical one, known as the lemma. We present a simple ... More

Learning Language Representations for Typology PredictionJul 29 2017One central mystery of neural NLP is what neural models "know" about their subject matter. When a neural machine translation system learns to translate from one language to another, does it learn the syntax or semantics of the languages? Can this knowledge ... More

Counter-rotating cavity solitons in a silicon nitride microresonatorNov 13 2017We demonstrate the generation of counter-rotating cavity solitons in a silicon nitride microresonator using a fixed, single-frequency laser. We demonstrate a dual 3-soliton state with a difference in the repetition rates of the soliton trains that can ... More

On-chip dual comb source for spectroscopyNov 23 2016Dual-comb spectroscopy is a powerful technique for real-time, broadband optical sampling of molecular spectra which requires no moving components. Recent developments with microresonator-based platforms have enabled frequency combs at the chip scale. ... More

Photometric studies of two W UMa type variables in the field of distant open cluster NGC6866Oct 23 2015Oct 17 2016We present photometric analysis of the two W UMa type binaries identified in the field of distant open star cluster NGC6866. Although these systems, namely ID487 and ID494, were reported in the Joshi et al. (2012), but a detailed study of these stars ... More

Near-Optimal Hardness Results for Signaling in Bayesian GamesDec 11 2015We study the optimization problem faced by a perfectly informed principal in a Bayesian game, who reveals information to the players about the state of nature to obtain a desirable equilibrium. This signaling problem is the natural design question motivated ... More

Pions emerging from an Arbitrarily Disoriented Chiral CondensateJun 15 2005We model the evolution of the disoriented chiral condensate formed through both a sudden quench and through a phase transition with a metastable state of arbitrary disorientation . We show that the total multiplicity distributions of charged and neutral ... More

Theorems of Barth-Lefschetz type and Morse Theory on the space of paths in Homogeneous spacesSep 11 2014Homotopy connectedness theorems for complex submanifolds of homogeneous spaces (sometimes referred to as theorems of Barth-Lefshetz type) have been established by a number of authors. Morse Theory on the space of paths lead to an elegant proof of homotopy ... More

Time-dependent Radiation Transfer in the Internal Shock Model Scenario for Blazar JetsNov 13 2010We describe the time-dependent radiation transfer in blazar jets, within the internal shock model. We assume that the central engine, which consists of a black hole and an accretion disk, spews out relativistic shells of plasma with different velocity, ... More