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Corwin-Greenleaf multiplicity function for compact extensions of the Heisenberg groupJul 28 2018Let $\mathbb{H}_n$ be the $(2n+1)$-dimensional Heisenberg group and $K$ a closed subgroup of $U(n)$ acting on $\mathbb{H}_n$ by automorphisms such that $(K,\mathbb{H}_n)$ is a Gelfand pair. Let $G=K\ltimes\mathbb{H}_n$ be the semidirect product of $K$ ... More

Corwin-Greenleaf multiplicity function for compact extensions of $\mathbb{R}^n$Jul 28 2018Let $G=K\ltimes\mathbb{R}^n$, where $K$ is a compact connected subgroup of $O(n)$ acting on $\mathbb{R}^n$ by rotations. Let $\mathfrak{g}\supset\mathfrak{k}$ be the respective Lie algebras of $G$ and $K$, and $pr: \mathfrak{g}^{*}\longrightarrow\mathfrak{k}^{*}$ ... More

Confidence-Weighted Bipartite RankingJul 04 2016Sep 28 2016Bipartite ranking is a fundamental machine learning and data mining problem. It commonly concerns the maximization of the AUC metric. Recently, a number of studies have proposed online bipartite ranking algorithms to learn from massive streams of class-imbalanced ... More

Confidence-Weighted Bipartite RankingJul 04 2016Mar 10 2019Bipartite ranking is a fundamental machine learning and data mining problem. It commonly concerns the maximization of the AUC metric. Recently, a number of studies have proposed online bipartite ranking algorithms to learn from massive streams of class-imbalanced ... More

Silicon Oxide Passivation of Single-Crystalline CVD Diamond Evaluated by the Time-of-Flight TechniqueJan 20 2014The excellent material properties of diamond make it highly desirable for many extreme electronic applications that are out of reach of conventional electronic materials. For commercial diamond devices to become a reality, it is necessary to have an effective ... More

Quantitative analysis of the interaction between a dc SQUID and an integrated micromechanical doubly clamped cantileverFeb 08 2019Based on the superconducting quantum interference device (SQUID) equations described by the resistively- and capacitively-shunted junction model coupled to the equation of motion of a damped harmonic oscillator, we provide simulations to quantitatively ... More

Maximal Entanglement - A New Measure of EntanglementMay 11 2014Maximal correlation is a measure of correlation for bipartite distributions. This measure has two intriguing features: (1) it is monotone under local stochastic maps; (2) it gives the same number when computed on i.i.d. copies of a pair of random variables. ... More

About The Second Neighborhood Problem in Tournaments Missing Disjoint StarsJun 27 2011Sep 13 2015We prove Seymour's Second Neighborhood Conjecture when the missing graph is disjoint stars under some conditions. Weaker conditions are required when n=2 or 3. In some cases, we exhibit two vertices with the desired property.

A contribution to the second neighborhood problemJun 27 2011Seymour's Second Neighborhood Conjecture asserts that every digraph (without digons) has a vertex whose first out-neighborhood is at most as large as its second out-neighborhood. It is proved for tournaments, tournaments missing a matching and tournaments ... More

On links of vertices in simplicial $d$-complexes embeddable in the euclidean $2d$-spaceDec 16 2015Dec 16 2018We consider $d$-dimensional simplicial complexes which can be PL embedded in the $2d$-dimensional euclidean space. In short, we show that in any such complex, for any three vertices, the intersection of the link-complexes of the vertices is linklessly ... More

Hodge structures of CM-typeJan 03 2006We show that any effective Hodge structure of CM-type occurs (without having to take a Tate twist) in the cohomology of some CM abelian variety over C. As a consequence we get a simple proof of the theorem (due to Hazama) that the usual Hodge conjecture ... More

The structure of graphs with forbidden $C_4$, $\overline{C}_4$, $C_5$, chair and co-chairJul 03 2016We find the structure of graphs that have no $C_4$, $\overline{C}_4$, $C_5$, chair and co-chair as induced subgraphs.

New Proofs of Königs TheoremMay 07 2015Jul 17 2015We introduce four new elementary short proofs of the famous K\"onig's theorem which characterizes bipartite graphs by absence of odd cycles.

Mechanism Design via Dantzig-Wolfe DecompositionAug 18 2015Aug 15 2016In random allocation rules, typically first an optimal fractional point is calculated via solving a linear program. The calculated point represents a fractional assignment of objects or more generally packages of objects to agents. In order to implement ... More

Classification of the phases of 1D spin chains with commuting HamiltoniansMay 05 2011Dec 10 2011We consider the class of spin Hamiltonians on a 1D chain with periodic boundary conditions that are (i) translational invariant, (ii) commuting and (iii) scale invariant, where by the latter we mean that the ground state degeneracy is independent of the ... More

Sandwiched Rényi Divergence Satisfies Data Processing InequalityJun 25 2013Nov 22 2013Sandwiched (quantum) $\alpha$-R\'enyi divergence has been recently defined in the independent works of Wilde et al. (arXiv:1306.1586) and M\"uller-Lennert et al (arXiv:1306.3142v1). This new quantum divergence has already found applications in quantum ... More

Generation and sudden death of entanglement in qubit-qutrit systems in depolarizing noiseDec 05 2010Nov 25 2013The dynamics of entanglement in some hybrid qubit-qutrit systems under the influence of global, collective, local and multilocal depolarizing noise is studied. It is shown that the depolarizing noise can be used to induce entanglement. A critical point ... More

Helicity Conservation, and Twisted Seifert Surfaces for Superfluid VorticesJun 10 2017Starting from the continuum definition of helicity, we derive from first principles its different contributions for superfluid vortices. Our analysis shows that an internal twist contribution emerges naturally from the mathematical derivation. This reveals ... More

Approximating Steady States in Equilibrium and Nonequilibrium CondensatesJun 27 2012We obtain approximations for the time-independent Gross-Pitaevskii (GP) and complex GP equation in two and three spatial dimensions by generalizing the divergence-free WKB method. The results include an explicit expression of a uniformly valid approximation ... More

Tate twists of Hodge structures arising from abelian varieties of type IVMar 21 2012We show that certain abelian varieties A have the property that for every Hodge structure V in the cohomology of A, every effective Tate twist of V occurs in the cohomology of some abelian variety. We deduce the general Hodge conjecture for certain non-simple ... More

Multiplicative Noise: Applications in Cosmology and Field TheoryAug 21 1993Physical situations involving multiplicative noise arise generically in cosmology and field theory. In this paper, the focus is first on exact nonlinear Langevin equations, appropriate in a cosmologica setting, for a system with one degree of freedom. ... More

Entanglement-assisted zero-error capacity is upper bounded by the Lovasz theta functionFeb 12 2010Jun 21 2011The zero-error capacity of a classical channel is expressed in terms of the independence number of some graph and its tensor powers. This quantity is hard to compute even for small graphs such as the cycle of length seven, so upper bounds such as the ... More

A New Quantum Data Processing InequalityOct 05 2012Feb 27 2014Quantum data processing inequality bounds the set of bipartite states that can be generated by two far apart parties under local operations; Having access to a bipartite state as a resource, two parties cannot locally transform it to another bipartite ... More

The Economic and Sustainability Future of Cellular NetworksAug 04 2013Global data traffic is expected to grow exponentially in the next few years with video and smartphone applications driving data growth. Many mobile network providers in the UK have either deployed or planning to deploy 4th generation Long-Term-Evolution ... More

Recovering Finite Parametric Distributions and Functions Using the Spherical Mean TransformOct 29 2016The aim of the article is to recover a certain type of finite parametric distributions and functions using their spherical mean transform which is given on a certain family of spheres whose centers belong to a finite set $\Gamma$. For this, we show how ... More

Algorithms for Dynamic Reeb GraphsFeb 12 2014Jul 17 2015We present an algorithm for updating the Reeb graph under fully dynamic changes of the function values. The basic event is the interchange of two consecutive vertex values. The algorithm updates the Reeb graph in $O(l g{n})$ worst-case deterministic time ... More

On links of vertices in simplicial $d$-complexes embeddable in the euclidean $2d$-spaceDec 16 2015Jun 23 2016We consider $d$-dimensional simplicial complexes which can be PL embedded in the $2d$-dimensional euclidean space. In short, we show that in any such complex, for any three vertices, the intersection of the link-complexes of the vertices is linklessly ... More

On the Optimality of Time Division for Broadcast ChannelsMay 28 2016We provide a necessary and sufficient condition that under some technical assumption characterizes all two-receiver broadcast channels for which time division is optimal for transmission of private messages.

NP vs QMA_log(2)Oct 28 2008Oct 02 2009Although it is believed unlikely that $\NP$-hard problems admit efficient quantum algorithms, it has been shown that a quantum verifier can solve $\NP$-complete problems given a "short" quantum proof; more precisely, $\NP\subseteq \QMA_{\log}(2)$ where ... More

A Note on Relaxation and Rounding in Algorithmic Mechanism DesignAug 16 2016In this note, we revisit the \emph{relaxation and rounding} technique employed several times in algorithmic mechanism design. We try to introduce a general framework which covers the most significant algorithms in mechanism design that use the relaxation ... More

Entanglement of Tripartite States with Decoherence in Noninertial framesFeb 13 2013The one-tangle and {\pi}-tangle are used to quantify the entanglement of a tripartite GHZ state in noninertial frames when the system interacts with a noisy environment in the form of phase damping, phase flip and bit flip channel. It is shown that the ... More

Tripartite entanglement of fermionic system in accelerated framesDec 08 2016The dynamics of tripartite entanglement of fermionic system in noninertial frames through linear contraction criterion when one or two observers are accelerated is investigated. In one observer accelerated case the entanglement measurement is not invariant ... More

Quantum DiffusionOct 25 1994We consider a simple quantum system subjected to a classical random force. Under certain conditions it is shown that the noise-averaged Wigner function of the system follows an integro-differential stochastic Liouville equation. In the simple case of ... More

Phi^4 Kinks: Statistical MechanicsNov 16 1994Some recent investigations of the thermal equilibrium properties of kinks in a $1+1$-dimensional, classical $\Phi^4$ field theory are reviewed. The distribution function, kink density, correlation function, and certain thermodynamic quantities were studied ... More

Stochastic Inflation:The Quantum Phase Space ApproachAug 13 1992In this paper a quantum mechanical phase space picture is constructed for coarse-grained free quantum fields in an inflationary Universe. The appropriate stochastic quantum Liouville equation is derived. Explicit solutions for the phase space quantum ... More

Hodge structures associated to SU(p,1)Mar 19 2012Jul 19 2015Let A be an abelian variety over C such that the semisimple part of the Hodge group of A is a product of copies of SU(p,1) for some p>1. We show that any effective Tate twist of a Hodge structure occurring in the cohomology of A is isomorphic to a Hodge ... More

A Lower Bound on the Value of Entangled Binary GamesSep 30 2009Jun 21 2011A two-player one-round binary game consists of two cooperative players who each replies by one bit to a message that he receives privately; they win the game if both questions and answers satisfy some predetermined property. A game is called entangled ... More

Breathers on Quantized Superfluid VorticesJul 29 2013We consider the propagation of breathers along a quantised superfluid vortex. Using the correspondence between the local induction approximation (LIA) and the nonlinear Schr\"odinger equation, we identify a set of initial conditions corresponding to breather ... More

Small Model $2$-Complexes in $4$-space and ApplicationsDec 16 2015Apr 08 2016We consider computational complexity of problems related to the fundamental group and the first homology group of (embeddable) $2$-complexes. We show, as an extension of an earlier work, that computing first homology of $2$-complexes is equivalent in ... More

Gaussian Dynamics is Classical DynamicsJun 01 2004A direct comparison of quantum and classical dynamical systems can be accomplished through the use of distribution functions. This is useful for both fundamental investigations such as the nature of the quantum-classical transition as well as for applications ... More

Hodge structures on abelian varieties of type IIIOct 01 2004We show that the usual Hodge conjecture implies the general Hodge conjecture for certain abelian varieties of type III, and use this to deduce the general Hodge conjecture for all powers of certain 4-dimensional abelian varieties of type III. We also ... More

Parameters Optimization of Deep Learning Models using Particle Swarm OptimizationNov 28 2017Deep learning has been successfully applied in several fields such as machine translation, manufacturing, and pattern recognition. However, successful application of deep learning depends upon appropriately setting its parameters to achieve high quality ... More

The Evidence for Massive Star Formation in Early-Type Spiral GalaxiesDec 19 1996A recent analysis of the IRAS database indicates that the massive star formation rates in early-type (Sa-Sab) spirals are comparable to the massive star formation rates in late-type spirals. $H\alpha$ imaging of some of the infrared luminous early-type ... More

Impossibility of Local State Transformation via HypercontractivityJul 10 2013Jul 24 2013Local state transformation is the problem of transforming an arbitrary number of copies of a bipartite resource state to a bipartite target state under local operations. That is, given two bipartite states, is it possible to transform an arbitrary number ... More

Distance Distributions in Regular PolygonsJul 25 2012Jun 25 2013This paper derives the exact cumulative density function of the distance between a randomly located node and any arbitrary reference point inside a regular $\el$-sided polygon. Using this result, we obtain the closed-form probability density function ... More

Generalized Assignment Problem: Truthful Mechanism Design without MoneyAug 15 2016Aug 23 2016In this paper, we study a problem of truthful mechanism design for a strategic variant of the generalized assignment problem (GAP) in a both payment-free and prior-free environment. In GAP, a set of items has to be optimally assigned to a set of bins ... More

Long-range Ordering of Topological Excitations in a Two-Dimensional Superfluid Far From EquilibriumMay 31 2016We study the relaxation of a 2D ultracold Bose-gas from a nonequilibrium initial state containing vortex excitations in experimentally realizable square and rectangular traps. We show that the subsystem of vortex gas excitations results in the spontaneous ... More

Optimizing Local Capacity of Wireless Ad Hoc NetworksNov 09 2011In this work, we evaluate local capacity of wireless ad hoc networks with several medium access protocols and identify the most optimal protocol. We define local capacity as the average information rate received by a receiver randomly located in the network. ... More

Experimental Data for Goldfeld's Conjecture over Function FieldsJun 15 2011This paper presents empirical evidence supporting Goldfeld's conjecture on the average analytic rank of a family of quadratic twists of a fixed elliptic curve in the function field setting. In particular, we consider representatives of the four classes ... More

Chaos and NoiseNov 20 2012Simple dynamical systems -- with a small number of degrees of freedom -- can behave in a complex manner due to the presence of chaos. Such systems are most often (idealized) limiting cases of more realistic situations. Isolating a small number of dynamical ... More

Algebraic Optimization of Binary Spatially Coupled Measurement Matrices for Interval PassingSep 15 2018We consider binary spatially coupled (SC) low density measurement matrices for low complexity reconstruction of sparse signals via the interval passing algorithm (IPA). The IPA is known to fail due to the presence of harmful sub-structures in the Tanner ... More

Does Inflationary Particle Production suggest Omega_m < 1?Aug 02 1998We study a class of FRW spacetimes with a nonminimally coupled light massive scalar field. Values of the coupling parameter xi<0 enhance long range power in the vacuum expectation value of the energy-momentum tensor and fundamentally alter the nature ... More

An Efficient Algorithm to Recognize Locally Equivalent Graphs in Non-Binary CaseFeb 09 2007Jul 01 2007Let $v$ be a vertex of a graph $G$. By the local complementation of $G$ at $v$ we mean to complement the subgraph induced by the neighbors of $v$. This operator can be generalized as follows. Assume that, each edge of $G$ has a label in the finite field ... More

Graph States Under the Action of Local Clifford Group in Non-Binary CaseOct 31 2006Jun 29 2007Graph states are well-entangled quantum states that are defined based on a graph. Of course, if two graphs are isomorphic their associated states are the same. Also, we know local operations do not change the entanglement of quantum states. Therefore, ... More

Quantum Achievability Proof via Collision Relative EntropyDec 13 2013Jan 09 2014In this paper, we provide a simple framework for deriving one-shot achievable bounds for some problems in quantum information theory. Our framework is based on the joint convexity of the exponential of the collision relative entropy, and is a (partial) ... More

On the Duality of Additivity and TensorizationFeb 03 2015Nov 04 2016A function is said to be additive if, similar to mutual information, expands by a factor of $n$, when evaluated on $n$ i.i.d. repetitions of a source or channel. On the other hand, a function is said to satisfy the tensorization property if it remains ... More

Monotone Measures for Non-Local CorrelationsSep 12 2014Jan 11 2017Non-locality is the phenomenon of observing strong correlations among the outcomes of local measurements of a multipartite physical system. No-signaling boxes are the abstract objects for studying non-locality, and wirings are local operations on the ... More

Quantum Achievability Proof via Collision Relative EntropyDec 13 2013Jan 11 2017In this paper, we provide a simple framework for deriving one-shot achievable bounds for some problems in quantum information theory. Our framework is based on the joint convexity of the exponential of the collision relative entropy, and is a (partial) ... More

Using Machine Learning for Handover Optimization in Vehicular Fog ComputingDec 18 2018Smart mobility management would be an important prerequisite for future fog computing systems. In this research, we propose a learning-based handover optimization for the Internet of Vehicles that would assist the smooth transition of device connections ... More

A Monotone Measure for Non-Local CorrelationsSep 12 2014Nov 07 2014No-signaling boxes are the abstract objects for studying non-locality, and wirings are local operations on the space of no-signaling boxes. This means that, no matter how non-local the nature is, the set of physical non-local correlations must be closed ... More

H-alpha Imaging of Early-type(Sa-Sab) Spiral Galaxies IApr 29 1999H-alpha and continuum images are presented for 27 nearby early-type(Sa-Sab) spiral galaxies. Contrary to popular perception, the images reveal copious massive star formation in some of these galaxies. A determination of the H-alpha morphology and a measure ... More

Performance Enhancement of Routers in Networks-on-Chip Using Dynamic Virtual Channels AllocationDec 09 2014This study proposes a new router architecture to improve the performance of dynamic allocation of virtual channels. The proposed router is designed to reduce the hardware complexity and to improve power and area consumption, simultaneously. In the new ... More

Simplified instantaneous non-local quantum computation with applications to position-based cryptographyJan 05 2011Sep 20 2011Instantaneous measurements of non-local observables between space-like separated regions can be performed without violating causality. This feat relies on the use of entanglement. Here we propose novel protocols for this task and the related problem of ... More

An Overview of Local Capacity in Wireless NetworksFeb 20 2012Feb 21 2012This article introduces a metric for performance evaluation of medium access schemes in wireless ad hoc networks known as local capacity. Although deriving the end-to-end capacity of wireless ad hoc networks is a difficult problem, the local capacity ... More

A Second-Order Stochastic Leap-Frog Algorithm for Langevin SimulationAug 20 2000Langevin simulation provides an effective way to study collisional effects in beams by reducing the six-dimensional Fokker-Planck equation to a group of stochastic ordinary differential equations. These resulting equations usually have multiplicative ... More

A Second-Order Stochastic Leap-Frog Algorithm for Multiplicative Noise Brownian MotionDec 30 1999Jan 04 2000A stochastic leap-frog algorithm for the numerical integration of Brownian motion stochastic differential equations with multiplicative noise is proposed and tested. The algorithm has a second-order convergence of moments in a finite time interval and ... More

S-Shaped vs. V-Shaped Transfer Functions for Antlion Optimization Algorithm in Feature Selection ProblemsDec 06 2017Feature selection is an important preprocessing step for classification problems. It deals with selecting near optimal features in the original dataset. Feature selection is an NP-hard problem, so meta-heuristics can be more efficient than exact methods. ... More

Hypercontractivity and the logarithmic Sobolev inequality for the completely bounded normSep 09 2015Nov 06 2015We develop the notions of hypercontractivity (HC) and the log-Sobolev (LS) inequality for completely bounded norms of one-parameter semigroups of super-operators acting on matrix algebras. We prove the equivalence of the completely bounded versions of ... More

On Dimension Bounds for Auxiliary Quantum SystemsJul 17 2012Nov 15 2013Expressions of several capacity regions in quantum information theory involve an optimization over auxiliary quantum registers. Evaluating such expressions requires bounds on the dimension of the Hilbert space of these auxiliary registers, for which no ... More

Information Causality is a Special Point in the Dual of the Gray-Wyner RegionNov 14 2011Apr 03 2013Information Causality contributes to the program of deriving fundamentals of quantum theory from information theoretic principles. It puts restrictions on the amount of information learned by a party (Bob) from the other party (Alice) in a one-way communication ... More

A Survey of Protocols and Standards for Internet of ThingsFeb 10 2019The rapid growth in technology and internet connected devices has enabled Internet of Things (IoT) to be one of the important fields in computing. Standards, technologies and platforms targeting IoT ecosystem are being developed at a very fast pace. IoT ... More

Environment generated quantum correlations in bipartite qubit-qutrit systemsDec 21 2016The dynamics of entanglement and quantum discord for qubit-qutrit systems are studied in the presence of phase damping and amplitude damping noises. Both one way and two couplings of the marginal systems with the environments are considered. Entanglement ... More

Dynamics of Kinks: Nucleation, Diffusion and AnnihilationNov 16 1999We investigate the nucleation, annihilation, and dynamics of kinks in a classical (1+1)-dimensional Phi^4 field theory at finite temperature. From large scale Langevin simulations, we establish that the nucleation rate is proportional to the square of ... More

Classical Dynamics for Linear Systems: The Case of Quantum Brownian MotionJul 25 1995It has long been recognized that the dynamics of linear quantum systems is classical in the Wigner representation. Yet many conceptually important linear problems are typically analyzed using such generally applicable techniques as influence functionals ... More

Enumerating the Classes of Local Equivalency in GraphsFeb 09 2007Jul 04 2007There are local operators on (labeled) graphs $G$ with labels $(g_{ij})$ coming from a finite field. If the filed is binary, in other words, if the graph is ordinary, the operation is just the local complementation. That is, to choose a vertex and complement ... More

Truthfulness with Value-Maximizing BiddersJul 13 2016In markets such as digital advertising auctions, bidders want to maximize value rather than payoff. This is different to the utility functions typically assumed in auction theory and leads to different strategies and outcomes. We refer to bidders who ... More

H-alpha Imaging of Early-type (Sa-Sab) Spiral Galaxies II. Global PropertiesJun 02 2005New results, based on one of the most comprehensive H-alpha imaging surveys of nearby Sa-Sab spirals completed to date, reveals early-type spirals to be a diverse group of galaxies that span a wide range in massive star formation rates. While the majority ... More

Vortex Nucleation Limited Mobility of Free Electron Bubbles in the Gross-Pitaevskii Model of a SuperfluidAug 21 2017Jan 22 2018We study the motion of an electron bubble in the zero temperature limit where neither phonons nor rotons provide a significant contribution to the drag exerted on an ion moving within the superfluid. By using the Gross-Clark model, in which a Gross-Pitaevskii ... More

Phi-Entropic Measures of CorrelationNov 04 2016A measure of correlation is said to have the tensorization property if it is unchanged when computed for i.i.d.\ copies. More precisely, a measure of correlation between two random variables $(X, Y)$ denoted by $\rho(X, Y)$, has the tensorization property ... More

Deep Multiple Instance Learning for Zero-shot Image TaggingMar 16 2018In-line with the success of deep learning on traditional recognition problem, several end-to-end deep models for zero-shot recognition have been proposed in the literature. These models are successful to predict a single unseen label given an input image, ... More

On the Optimal Transmission Scheme to Maximize Local Capacity in Wireless NetworksNov 09 2011We study the optimal transmission scheme that maximizes the local capacity in two-dimensional (2D) wireless networks. Local capacity is defined as the average information rate received by a node randomly located in the network. Using analysis based on ... More

Free-Space Optical Communications with Detector ArraysNov 19 2018Detector arrays are commonly used for free-space optical communications in deep space. Such detector arrays---by virtue of their size---help in the collection of the optical signal even when there is some misalignment between the transmitter and receiver ... More

Overfitting Mechanism and Avoidance in Deep Neural NetworksJan 19 2019Assisted by the availability of data and high performance computing, deep learning techniques have achieved breakthroughs and surpassed human performance empirically in difficult tasks, including object recognition, speech recognition, and natural language ... More

Statistical Mechanics of Nonlinear Coherent Structures: Kinks in the Phi^6 ModelFeb 02 1995We study the thermodynamics of kinks in the Phi^6 model using a Langevin code implemented on a massively parallel computer. This code can be used to study first order dynamical phase transitions which exhibit multiple length and time scales. The classical ... More

A Fine-Grained Spectral Perspective on Neural NetworksJul 24 2019Are neural networks biased toward simple functions? Does depth always help learn more complex features? Is training the last layer of a network as good as training all layers? These questions seem unrelated at face value, but in this work we give all ... More

Dynamics of weakly mixing non-autonomous systemsOct 04 2018For a commutative non-autonomous dynamical system we show that topological transitivity of the non-autonomous system induced on probability measures (hyperspaces) is equivalent to the weak mixing of the induced systems. Several counter examples are given ... More

Specification properties for non-autonomous discrete systemsAug 23 2018Oct 31 2018In this paper notions of strong specification property and quasi-weak specification property for non-autonomous discrete systems are introduced and studied. It is shown that these properties are dynamical properties and are preserved under finite product. ... More

Top-Down Transaction-Level Design with TL-VerilogNov 05 2018Transaction-Level Verilog (TL-Verilog) is an emerging extension to SystemVerilog that supports a new design methodology, called transaction-level design. A transaction, in this methodology, is an entity that moves through structures like pipelines, arbiters, ... More

Proximal magnetometry of monolayers of magnetic momentsAug 09 2011We present a method to measure the magnetic properties of monolayers and ultra-thin films of magnetic material. The method is based on low energy muon spin rotation and $\beta$-detected nuclear magnetic resonance measurements. A spin probe is used as ... More

Sparse Recovery of Streaming Signals Using L1-HomotopyJun 14 2013Most of the existing methods for sparse signal recovery assume a static system: the unknown signal is a finite-length vector for which a fixed set of linear measurements and a sparse representation basis are available and an L1-norm minimization program ... More

Generative Models for Low-Rank Video Representation and ReconstructionFeb 25 2019Finding compact representation of videos is an essential component in almost every problem related to video processing or understanding. In this paper, we propose a generative model to learn compact latent codes that can efficiently represent and reconstruct ... More

A Comparative Analysis of classification data mining techniques : Deriving key factors useful for predicting students performanceJun 18 2016Nov 11 2016Students opting for Engineering as their discipline is increasing rapidly. But due to various factors and inappropriate primary education in India, failure rates are high. Students are unable to excel in core engineering because of complex and mathematical ... More

ITLinQ: A New Approach for Spectrum Sharing in Device-to-Device Communication SystemsNov 21 2013Jun 11 2014We consider the problem of spectrum sharing in device-to-device communication systems. Inspired by the recent optimality condition for treating interference as noise, we define a new concept of "information-theoretic independent sets" (ITIS), which indicates ... More

Harmonic Coding: An Optimal Linear Code for Privacy-Preserving Gradient-Type ComputationApr 30 2019We consider the problem of distributedly computing a general class of functions, referred to as gradient-type computation, while maintaining the privacy of the input dataset. Gradient-type computation evaluates the sum of some `partial gradients', defined ... More

Nondistillability of distillable qutrit-qutrit states under depolarizing noiseNov 10 2010Aug 20 2011We study the effects of decoherence on some particular bipartite qutrit states under the influence of global, collective, local and multilocal depolarizing noise. We show that certain free entangled distillable qutrit density matrices become bound entangled ... More

Dynamic Updating for L1 MinimizationMar 09 2009Jun 28 2009The theory of compressive sensing (CS) suggests that under certain conditions, a sparse signal can be recovered from a small number of linear incoherent measurements. An effective class of reconstruction algorithms involve solving a convex optimization ... More

Degrees of Freedom of Two-Hop Wireless Networks: "Everyone Gets the Entire Cake"Oct 08 2012May 15 2013We show that fully connected two-hop wireless networks with K sources, K relays and K destinations have K degrees of freedom both in the case of time-varying channel coefficients and in the case of constant channel coefficients (in which case the result ... More

Worst-Case Additive Noise in Wireless NetworksFeb 13 2012Jan 29 2013A classical result in Information Theory states that the Gaussian noise is the worst-case additive noise in point-to-point channels, meaning that, for a fixed noise variance, the Gaussian noise minimizes the capacity of an additive noise channel. In this ... More

Scalable closed-form trajectories for periodic and non-periodic human-like walkingMar 27 2018We present a new framework to generate human-like lower-limb trajectories in periodic and non-periodic walking conditions. In our method, walking dynamics is encoded in 3LP, a linear simplified model composed of three pendulums to model falling, swing ... More

A Real Time Optimistic Strategy to achieve Concurrency Control in Mobile Environments Using On-demand MulticastingMay 11 2010In mobile database environments, multiple users may access similar data items irrespective of their physical location leading to concurrent access anomalies. As disconnections and mobility are the common characteristics in mobile environment, performing ... More