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Universal power-law scaling of water diffusion in human brain defines what we see with MRISep 28 2016Development of successful therapies for neurological disorders depends on our ability to diagnose and monitor the progression of underlying pathologies at the cellular level. Physics and physiology limit the resolution of human MRI to millimeters, three ... More

Training a Neural Network for Gibbs and Noise Removal in Diffusion MRIMay 10 2019May 15 2019We develop and evaluate a neural network-based method for Gibbs artifact and noise removal. A convolutional neural network (CNN) was designed for artifact removal in diffusion-weighted imaging data. Two implementations were considered: one for magnitude ... More

Rotationally-invariant mapping of scalar and orientational metrics of neuronal microstructure with diffusion MRISep 28 2016Apr 06 2018We develop a general analytical and numerical framework for estimating intra- and extra-neurite water fractions and diffusion coefficients, as well as neurite orientational dispersion, in each imaging voxel. By employing a set of rotational invariants ... More

Observation of structural universality in disordered systems using bulk diffusion measurementJul 28 2016Dec 04 2017We report on an experimental observation of classical diffusion distinguishing between structural universality classes of disordered systems in one dimension. Samples of hyperuniform and short-range disorder were designed, characterized by the statistics ... More

What dominates the time dependence of diffusion transverse to axons: Intra- or extra-axonal water?Jul 28 2017Brownian motion of water molecules provides an essential length scale, the diffusion length, commensurate with cell dimensions in biological tissues. Measuring the diffusion coefficient as a function of diffusion time makes in vivo diffusion MRI uniquely ... More

Mapping orientational and microstructural metrics of neuronal integrity with in vivo diffusion MRISep 28 2016Diagnosis of brain disorders is hindered by the lack of an imaging technique that reveals the architecture of neuronal tissue at the cellular level, where the associated pathological processes develop. Accessing tissue integrity at the micrometer scale, ... More

Diffusion distinguishes between structural universality classes of disordered mediaJul 28 2016Identifying relevant parameters is central to understanding complex phenomena. This often evokes the concept of universality, which groups microscopically distinct systems into a handful of universality classes, according to the relevant degrees of freedom ... More

Characterizing microstructure of living tissues with time-dependent diffusionOct 10 2012Molecular diffusion measurements are widely used to probe microstructure in materials and living organisms noninvasively. The precise relation of diffusion metrics to microstructure remains a major challenge: In complex samples, it is often unclear which ... More

Quantifying brain microstructure with diffusion MRI: Theory and parameter estimationDec 06 2016We review, systematize and discuss models of diffusion in neuronal tissue, by putting them into an overarching physical context of coarse-graining over an increasing diffusion length scale. From this perspective, we view research on quantifying brain ... More

Quantifying brain microstructure with diffusion MRI: Theory and parameter estimationDec 06 2016Apr 11 2018We review, systematize and discuss models of diffusion in neuronal tissue, by putting them into an overarching physical context of coarse-graining over an increasing diffusion length scale. From this perspective, we view research on quantifying brain ... More

Random walk with barriers: Diffusion restricted by permeable membranesApr 15 2010Sep 20 2010Restrictions to molecular motion by barriers (membranes) are ubiquitous in biological tissues, porous media and composite materials. A major challenge is to characterize the microstructure of a material or an organism nondestructively using a bulk transport ... More

A Deep Unsupervised Learning Approach Toward MTBI Identification Using Diffusion MRIFeb 08 2018Apr 11 2018Mild traumatic brain injury is a growing public health problem with an estimated incidence of over 1.7 million people annually in US. Diagnosis is based on clinical history and symptoms, and accurate, concrete measures of injury are lacking. This work ... More

A Machine Learning Approach For Identifying Patients with Mild Traumatic Brain Injury Using Diffusion MRI ModelingAug 27 2017While diffusion MRI has been extremely promising in the study of MTBI, identifying patients with recent MTBI remains a challenge. The literature is mixed with regard to localizing injury in these patients, however, gray matter such as the thalamus and ... More

Identifying Mild Traumatic Brain Injury Patients From MR Images Using Bag of Visual WordsOct 18 2017Feb 14 2018Mild traumatic brain injury (mTBI) is a growing public health problem with an estimated incidence of one million people annually in US. Neurocognitive tests are used to both assess the patient condition and to monitor the patient progress. This work aims ... More

MTBI Identification From Diffusion MR Images Using Bag of Adversarial Visual FeaturesJun 27 2018In this work, we propose bag of adversarial features (BAF) for identifying mild traumatic brain injury (MTBI) patients from their diffusion magnetic resonance images (MRI) (obtained within one month of injury) by incorporating unsupervised feature learning ... More

A Deep Unsupervised Learning Approach Toward MTBI Identification Using Diffusion MRIFeb 08 2018Mild traumatic brain injury (mTBI) is a growing public health problem with an estimated incidence of one million people annually in US. Neurocognitive tests have been used to both assess the patient condition and to monitor the patient progress. This ... More

A new class of rank one transformations with singular spectrumApr 18 2007We introduce a new tool to study the spectral type of rank one transformations using the method of central limit theorem for trigonometric sums. We get some new applications.

Generalized Riesz Products on the Bohr compactification of $\R$Jun 03 2012Dec 19 2014We study a class of generalized Riesz products connected to the spectral type of some class of rank one flows on $\R$. Applying a Central Limit Theorem of Kac, we exhibit a large class of singular generalized Riesz products on the Bohr compactification ... More

Training a Neural Network for Gibbs and Noise Removal in Diffusion MRIMay 10 2019We develop and evaluate a neural network-based method for Gibbs artifact and noise removal. A convolutional neural network (CNN) was designed for artifact removal in diffusion-weighted imaging data. Two implementations were considered: one for magnitude ... More

Heritability estimates on resting state fMRI data using the ENIGMA analysis pipelineSep 13 2017Big data initiatives such as the Enhancing NeuroImaging Genetics through Meta-Analysis consortium (ENIGMA), combine data collected by independent studies worldwide to achieve more accurate estimates of effect sizes and more reliable and reproducible outcomes. ... More

Descent and Galois theory for Hopf categoriesFeb 04 2017Descent theory for linear categories is developed. Given a linear category as an extension of a diagonal category, we introduce descent data, and the category of descent data is isomorphic to the category of representations of the diagonal category, if ... More

The Rudin-Shapiro polynomials and The Fekete polynomials are not $L^α$-flatMar 13 2016Apr 15 2016We establish that the Rudin-Shapiro polynomials are not $L^\alpha$-flat, for any $\alpha \geq 0$. We further prove that the "truncated" Rudin-Shapiro sequence cannot generate a sequence of $L^\alpha$-flat polynomials, for any $\alpha \geq 0$. In the appendix, ... More

On the Erdös flat polynomials problem, Chowla conjecture and Riemann HypothesisSep 12 2016Jan 11 2017There are no square $L^2$-flat sequences of polynomials of the type $$\frac{1}{\sqrt q}( \epsilon_0 + \epsilon_1z + \epsilon_2z^2 + \cdots + \epsilon_{q-2}z^{q-2} +\epsilon_q z^{q-1}),$$ where for each $j,~~ 0 \leq j\leq q-1,~\epsilon_j = \pm 1$. It follows ... More

On the homogeneous ergodic bilinear averages with Möbius and liouville weightsJun 15 2017Aug 15 2018It is shown that the homogeneous ergodic bilinear averages with M\"{o}bius or Liouville weight converge almost surely to zero, that is, if $T$ is a map acting on a probability space $(X,\mathcal{A},\mu)$, and $a,b \in \mathbb{Z}$, then for any $f,g \in ... More

Ergodic Banach problem on simple Lebesgue spectrum and flat polynomialsAug 26 2015Aug 07 2018We exhibit a sequence of flat polynomials with coefficients $0,1$. We thus get that there exist a sequences of Newman polynomials that are $L^\alpha$-flat, $0 \leq \alpha <2$. This settles an old question of Littlewood. In the opposite direction, we prove ... More

On the homogeneous ergodic bilinear averages with Möbius and liouville weightsJun 15 2017Jun 13 2019It is shown that the homogeneous ergodic bilinear averages with M\"{o}bius or Liouville weight converge almost surely to zero, that is, if $T$ is a map acting on a probability space $(X,\mathcal{A},\mu)$, and $a,b \in \mathbb{Z}$, then for any $f,g \in ... More

On the Erdös flat polynomials problemSep 12 2016There are no square $L^2$-flat sequences of polynomials of the type $$\frac{1}{\sqrt q}(\epsilon_0 + \epsilon_1z + \epsilon_2z^2 + \cdots + \epsilon_{q-2}z^{q-2} +\epsilon_q z^{q-1}),$$ where for each $j,~~ 0 \leq j\leq q-1,~\epsilon_j = \pm 1$. It follows ... More

Ergodic Banach problem, flat polynomials and Mahler's measures with combinatoricsAug 26 2015Jan 06 2016We construct a sequence of polynomials that are flat in the almost everywhere sense. The construction is done by appealing to the nice combinatorial properties of the Singer's sets and Sidon sets. As a consequence, we get a positive answer to Littlewood's ... More

On the spectrum of $α$-rigid mapsFeb 16 2009Apr 02 2009It is shown that there exists an $\alpha$-rigid transformation with $\alpha$ less or equal to $\frac12$ whose spectrum has Lebesgue component. This answers the question raised by Klemes and Reinhold in \cite{Klemes-Reinhold}. We exhibit also a large class ... More

On Veech's proof of Sarnak's theorem on the Möbius flowNov 15 2017Jan 28 2019We present Veech's proof of Sarnak's theorem on the M\"{o}bius flow which say that there is a unique admissible measure on the M\"{o}bius flow. As a consequence, we obtain that Sarnak's conjecture is equivalent to Chowla conjecture with the help of Tao's ... More

On the spectral type of some class of rank one flowsMay 24 2012Aug 10 2012It is shown that a certain class of Riesz product type measure on $\R$ is singular. This proves the singularity of the spectral types of some class of rank one flows. Our method is based on the extension of the Central Limit Theorem approach to the real ... More

Oscillating sequences, Gowers norms and Sarnak's conjectureApr 18 2017Oct 05 2017It is shown that there is an oscillating sequence of higher order which is not orthogonal to the class of dynamical flow with topological entropy zero. We further establish that any oscillating sequence of order $d$ is orthogonal to any $d$-nilsequence ... More

A simple proof of Bourgain's theorem on the singularity of the spectrum of Ornstein's mapsAug 26 2015Aug 30 2015We give a simple proof of Bourgain's theorem on the singularity of Ornstein's maps.

The PAH hypothesis after 25 yearsNov 15 2011The infrared spectra of many galactic and extragalactic objects are dominated by emission features at 3.3, 6.2, 7.7, 8.6 and 11.2 \mu m. The carriers of these features remained a mystery for almost a decade, hence the bands were dubbed the unidentified ... More

D-branes on Noncommutative OrbifoldsMay 19 2001We study tachyon condensation on noncommutative toric orbifolds with a $Z_2$ discrete group and explore the various kins of brane bound states arising in the case of irrational values of the B-field. We show that $Z_$ symmetry of the orbifolds incorporates ... More

Solitons on compact and noncompact spaces in large noncommutativityDec 28 2000Jan 06 2001We study solutions at the minima of scalar field potentials for Moyal spaces and torii in the large non-commutativity and interprete these solitons in terms of non-BPS D-branes of string theory. We derive a mass spectrum formula linking different D-branes ... More

Spin-Magnetic Field Interaction and Realization of Fractional SupersymmetryAug 06 2001The fractional supersymmetry in the case of the non-relativistic motion of one anyon with fractional spin is realized. Thus the associated Hamiltonian is discussed.

A note on actions with finite orbits on dendritesFeb 27 2019Apr 12 2019It is shown that the restriction of the action of any group with finite orbit on the minimal sets of dendrites is equicontinuous. Consequently, we obtain that the action of any amenable group and Thompson group on dendrite restricted on minimal sets is ... More

Disjointness of the Möbius Transformation and Möbius FunctionNov 29 2017Apr 05 2018We study the distribution of the sequence of elements of the discrete dynamical system generated by the M\"obius transformation $x \mapsto (ax + b)/(cx + d)$ over a finite field of $p$ elements. Motivated by a recent conjecture of P. Sarnak, we obtain ... More

Approximate transitivity property and Lebesgue spectrumMar 03 2009Mar 08 2009Exploiting a spectral criterion for a system not to be AT we give some new examples of zero entropy systems without the AT property. Our examples include those with finite spectral multiplicity -- in particular we show that the system arising from the ... More

Multi-Topic Multi-Document SummarizerJan 03 2014Current multi-document summarization systems can successfully extract summary sentences, however with many limitations including: low coverage, inaccurate extraction to important sentences, redundancy and poor coherence among the selected sentences. The ... More

An Accurate Arabic Root-Based Lemmatizer for Information Retrieval PurposesMar 15 2012In spite of its robust syntax, semantic cohesion, and less ambiguity, lemma level analysis and generation does not yet focused in Arabic NLP literatures. In the current research, we propose the first non-statistical accurate Arabic lemmatizer algorithm ... More

Fast and Secure Distributed Learning in High DimensionMay 05 2019Modern machine learning is distributed and the work of several machines is typically aggregated by \emph{averaging} which is the optimal rule in terms of speed, offering a speedup of $n$ (with respect to using a single machine) when $n$ processes are ... More

Resonant final-state interactions in D^0 -> \bar{K}^{0} η, \bar{K}^{0} η' DecayOct 13 1999We have investimated the effect of the isospin 1/2, J^P = 0^+ resonant state K^*_0(1950) on the decays D^0 ->\bar{K}^{0}\eta and D^0 ->\bar{K}^0 \eta' as a function of the branching ratio sum r =Br(K^*_0(1950)->\bar{K}^0\eta)+ Br(K^*_0(1950)->\bar{K}^0 ... More

A cubic nonconventional ergodic average with Möbius and Liouville weightApr 03 2015May 16 2015It is shown that the cubic nonconventional ergodic average of order 2 with M\"obius and Liouville weight converge almost surely to zero. As a consequence, we obtain that the Ces\`aro mean of the self-correlations and some moving average of the self-correlations ... More

On Black Hole Effective Potential in 6D/7D N=2 SupergravityMar 06 2008May 27 2008Using the harmonic superspace method and the duality between real and complex representations of hypermultiplets, we compute the explicit scalar field expression of the quaternionic metric $G_{mn}$ of the moduli space SO(1,1)x[SO(4,k)/(SO(4)xSO(k))] of ... More

Tetrahedron in F-theory CompactificationJul 15 2009Complex tetrahedral surface $\mathcal{T}$ is a non planar projective surface that is generated by four intersecting complex projective planes $CP^{2}$. In this paper, we study the family $\{\mathcal{T}_{m}\} $ of blow ups of $\mathcal{T}$ and exhibit ... More

Minimax Impulse Control Problems in Finite HorizonMay 04 2013We consider the problem of impulse control minimax in finite horizon, when cost functions $(C(t,x,\xi)>0)$. We show existence of value function of the problem. Moreover, the value function is characterized as the unique viscosity solution of an Isaacs ... More

Limit Behaviour of Sequential Empirical Measure ProcessesOct 30 2008In this paper, we obtain some uniform laws of large numbers and functional central limit theorems for sequential empirical measure processes indexed by classes of product functions satisfying appropriate Vapnik-Chervonenkis properties.

Network Routing Optimization Using Swarm IntelligenceSep 18 2012Aug 17 2015The aim of this paper is to highlight and explore a traditional problem, which is the minimum spanning tree, and finding the shortest-path in network routing, by using Swarm Intelligence. This work to be considered as an investigation topic with combination ... More

On the asymptotic normality of frequency polygons for strongly mixing spatial processesJul 26 2013This paper establishes the asymptotic normality of frequency polygons in the context of stationary strongly mixing random fields indexed by $\Z^d$. Our method allows us to consider only minimal conditions on the width bins and provides a simple criterion ... More

Efficient techniques for mining spatial databasesJun 01 2012Clustering is one of the major tasks in data mining. In the last few years, Clustering of spatial data has received a lot of research attention. Spatial databases are components of many advanced information systems like geographic information systems ... More

Cell Associations that Maximize the Average Uplink-Downlink Degrees of FreedomMay 13 2016We study the problem of associating mobile terminals to base stations in a linear interference network, with the goal of maximizing the average rate achieved over both the uplink and downlink sessions. The cell association decision is made at a centralized ... More

Parametric estimation of hidden stochastic model by contrast minimization and deconvolution: application to the Stochastic Volatility ModelFeb 12 2012Mar 14 2013We study a new parametric approach for particular hidden stochastic models such as the Stochastic Volatility model. This method is based on contrast minimization and deconvolution. After proving consistency and asymptotic normality of the estimation leading ... More

Common-Description Learning: A Framework for Learning Algorithms and Generating Subproblems from Few ExamplesMay 01 2016Current learning algorithms face many difficulties in learning simple patterns and using them to learn more complex ones. They also require more examples than humans do to learn the same pattern, assuming no prior knowledge. In this paper, a new learning ... More

Cloud-Based Topological Interference Management: A Case with No Cooperative Transmission GainMay 17 2016We study the problem of managing interference in linear networks, with backhaul constraints that admit centralized allocation of messages to transmitters through the cloud. Our setting is that of a generic channel, where no channel state information is ... More

A non-unital algebra has UUNP iff its unitization has UUNPDec 10 2015Let $A$ be a non-unital Banach algebra, S. J. Bhatt and H. V. Dedania showed that $A$ has the unique uniform norm property (UUNP) if and only if its unitization has UUNP. Here we prove this result for any non-unital algebra.

Positive linear functionals on BP*-algebrasMay 07 2013Apr 12 2015Let A be a BP*-algebra with identity e, P_{1}(A) be the set of all positive linear functionals f on A such that f(e) = 1, and let M_{s}(A) be the set of all nonzero hermitian multiplicative linear functionals on A. We prove that M_{s}(A) is the set of ... More

Counting positive intersection points of a trinomial and a $\mathbf{T}$-nomial curves via Groethendieck's dessin d'enfantDec 17 2015We consider real polynomial systems $f=g=0$ in two variables where $f$ has $t\geq 3$ monomial terms and $g$ has $3$ monomials terms. We prove that the number of positive isolated solutions of such a system does not exceed $3\cdot 2^{t-2} - 1$. This improves ... More

The (> Half) Empty UniverseApr 02 1997Voids are the most prominent feature of the large-scale structure of the universe. Still, they have been generally ignored in quantitative analysis of it, essentially due to the lack of an objective tool to identify the voids and to quantify them. To ... More

A Mobile Management System for Reforming Subsidies Distribution in Developing CountriesApr 30 2014This paper has a specific objective of being useful for showing how the advances in mobile technologies can help for solving social and political aspects involved in the reform of subsidies in developing countries. It describes the work done to build ... More

Search for sharp neutrino features from dark matter decayJun 02 2016The discovery of a neutrino line or, more broadly, a sharp feature in neutrino data could provide a striking hint for the existence of the dark matter particle. We review here a search for sharp spectral features using neutrino data from IceCube. No significant ... More

Probabilistic pointer analysis for multithreaded programsDec 16 2011The use of pointers and data-structures based on pointers results in circular memory references that are interpreted by a vital compiler analysis, namely pointer analysis. For a pair of memory references at a program point, a typical pointer analysis ... More

Functional continuity of unital $B_{0}$-algebras with orthogonal basesJul 08 2015Mar 12 2016Let $A$ be a unital $B_{0}$-algebra with an orthogonal basis, then every multiplicative linear functional on $A$ is continuous. This gives an answer to a problem posed by Z. Sawon and Z. Wronski.

On a conjecture concerning some automatic continuity theoremsJan 12 2013Let A and B be commutative locally convex algebras with unit. A is assumed to be a uniform topological algebra. Let h be an injective homomorphism from A to B. Under additional assumptions, we characterize the continuity of the homomorphism h^(-1) / Im(h) ... More

Gamma-Gamma Absorption in the Broad Line Region Radiation Fields of Gamma-Ray BlazarsMar 09 2016The expected level of gamma-gamma absorption in the Broad Line Region (BLR) radiation field of gamma-ray loud Flat Spectrum Radio Quasars (FSRQs)is evaluated as a function of the location of the gamma-ray emission region. This is done self-consistently ... More

Optimal Random Access and Random Spectrum Sensing for an Energy Harvesting Cognitive Radio with and without Primary Feedback LeveragingJan 01 2014Apr 27 2014We consider a secondary user (SU) with energy harvesting capability. We design access schemes for the SU which incorporate random spectrum sensing and random access, and which make use of the primary automatic repeat request (ARQ) feedback. We study two ... More

A la Recherche des Facteurs Déterminants de l'Intégration Internationale des Marchés Boursiers : une Analyse sur Données de PanelMay 24 2009The aim of this paper is to identify the determinants of international stock markets integration. Intuitively we selected a great number of factors linked to financial integration. Then, we developed an international asset-pricing model with time-varying ... More

Weighted Hardy inequality on Riemannian manifoldsApr 04 2015Nov 13 2015Let $(M,g)$ be a smooth compact Riemannian manifold of dimension $N\geq 3$ and we let $\Sigma$ to be a closed submanifold of dimension $1 \leq k \leq N-2. $ In this paper we study existence and non-existence of minimizers of Hardy inequality with weight ... More

The Strong Coupling from QuarkoniaDec 21 1993The status of determinations of $\al_s$ from quarkonia using lattice QCD is reviewed. We compare the results with those obtained from perturbative QCD.

On Relatively Prime Subsets and SupersetsOct 24 2009A nonempty finite set of positive integers A is relatively prime if gcd(A) = 1 and it is relatively prime to n if gcd(A [ fng) = 1. The number of nonempty subsets of A which are relatively prime to n is \Phi(A, n) and the number of such subsets of cardinality ... More

Explicit formulas and vanishing conditions for certain coefficients of Drinfeld-Goss Hecke eigenformsMay 27 2017We obtain a closed form polynomial expression for certain coefficients of Drinfeld-Goss double-cuspidal modular forms which are eigenforms for the degree one Hecke operators with power eigenvalues, and we use those formulas to prove vanishing results ... More

On saturated uniformly A-convex algebrasJan 07 2013Aug 11 2014Following ideas of A.C.Cochran, we give a suitable definition of a saturated uniformly A-convex algebra. In the m-convex case, such algebra is a uniform topological one.

Corings over rings with local unitsDec 30 2005Apr 27 2009We show that the category of corings over a fixed base ring with local units is equivalent to the category of comonads in (right) unital modules whose underlying functors preserve inductive limits. Changing base rings, we prove a bi-equivalence of bicategories. ... More

On the largest eigenvalue of Wishart matrices with identity covariance when n, p and p/n tend to infinitySep 22 2003Let X be a n*p matrix and l_1 the largest eigenvalue of the covariance matrix X^{*}*X. The "null case" where X_{i,j} are independent Normal(0,1) is of particular interest for principal component analysis. For this model, when n, p tend to infinity and ... More

A covariance equationOct 23 2018Let $\S$ be a commutative semigroup with identity $e$ and let $\Gamma$ be a compact subset in the pointwise convergence topology of the space $\S'$ of all non-zero multiplicative functions on $\S.$ Given a continuous function $F: \Gamma \to \mathbb C$ ... More

Characterization of circuits supporting polynomial systems with the maximal number of positive solutionsMar 06 2016A polynomial system with $n$ equations in $n$ variables supported on a set $\mathcal{W}\subset\mathbb{R}^n$ of $n+2$ points has at most $n+1$ non-degenerate positive solutions. Moreover, if this bound is reached, then $\mathcal{W}$ is minimally affinely ... More

The Ran-Reurings fixed point theorem without partial order: a simple proofNov 18 2014Nov 26 2014The purpose of this note is to generalize the celebrated Ran and Reurings fixed point theorem to the setting of a space with a binary relation that is only transitive (and not necessarily a partial order) and a relation-complete metric. The arguments ... More

Intersection Theorems for Closed Convex Sets and ApplicationsJan 23 2015A number of landmark existence theorems of nonlinear functional analysis follow in a simple and direct way from the basic separation of convex closed sets in finite dimension via elementary versions of the Knaster-Kuratowski-Mazurkiewicz principle - which ... More

NC Effective Gauge Model for Multilayer FQH StatesAug 20 2002We develop an effective field model for describing FQH states with rational filling factors that are not of Laughlin type. These kinds of systems, which concern single layer hierarchical states and multilayer ones, were observed experimentally; but have ... More

The Best Templates Match Technique For Example Based Machine TranslationJun 04 2014It has been proved that large scale realistic Knowledge Based Machine Translation applications require acquisition of huge knowledge about language and about the world. This knowledge is encoded in computational grammars, lexicons and domain models. Another ... More

A Lemma Based Evaluator for Semitic Language Text Summarization SystemsMar 22 2014Matching texts in highly inflected languages such as Arabic by simple stemming strategy is unlikely to perform well. In this paper, we present a strategy for automatic text matching technique for for inflectional languages, using Arabic as the test case. ... More

Keyphrase Based Arabic Summarizer (KPAS)Jun 23 2012This paper describes a computationally inexpensive and efficient generic summarization algorithm for Arabic texts. The algorithm belongs to extractive summarization family, which reduces the problem into representative sentences identification and extraction ... More

A cubic nonconventional ergodic average with multiplicative or Mangoldt weightsJun 17 2016We show that the cubic nonconventional ergodic averages of any order with a bounded multiplicative function weight converge almost surely to zero provided that the multiplicative function satisfies a strong Daboussi-Delange condition. We further obtain ... More

Graded q-pseudo-differential Operators and Supersymmetric AlgebrasNov 08 2000Dec 06 2000We give a supersymmetric generalization of the sine algebra and the quantum algebra $U_{t}(sl(2))$. Making use of the $q$-pseudo-differential operators graded with a fermionic algebra, we obtain a supersymmetric extension of sine algebra. With this scheme ... More

A Combinatorial Interpretation of the LDU Decomposition of Totally Positive MatricesOct 26 2015We study the combinatorial description of the LDU decomposition of totally positive matrices. We give a description of the lower triangular L, the diagonal D, and the upper triangular U matrices of the LDU decomposition of totally positive matrices in ... More

On the pointwise convergence of the cubic average with multiplicative or von Mangoldt weightsJul 02 2018It is shown that the cubic nonconventional ergodic averages of any order with a bounded aperiodic multiplicative function or von Mangoldt weights converge almost surely.

A note on actions with finite orbits on dendritesFeb 27 2019It is shown that the restriction of the action of any group with finite orbit on the minimal sets of dendrites is equicontinuous. Consequently, we obtain that the action of any amenable group and Thompson group on dendrite restricted on minimal sets is ... More

A cubic nonconventional ergodic average with multiplicative or Mangoldt weightsJun 17 2016Nov 04 2016We show that the cubic nonconventional ergodic averages of any order with a bounded multiplicative function weight converge almost surely to zero provided that the multiplicative function satisfies a strong Daboussi-Delange condition. We further obtain ... More

Propagation of initial errors on the parameters for linear and Gaussian state space modelsMar 14 2013For linear and Gaussian state space models parametrized by $\theta_0 \in \Theta \subset \R^{r}, r \geq 1$ corresponding to the vector of parameters of the model, the Kalman filter gives exactly the solution for the optimal filtering under weak assumptions. ... More

Resolution of a shock in hyperbolic systems modified by weak dispersionMar 07 2005Feb 06 2006We present a way to deal with dispersion-dominated ``shock-type'' transition in the absence of completely integrable structure for the systems that one may characterize as strictly hyperbolic regularized by a small amount of dispersion. The analysis is ... More

The thermodynamic limit of the Whitham equationsOct 13 2003The infinite-genus limit of the KdV-Whitham equations is derived. The limit involves special scaling for the associated spectral surface such that the integrated density of states remains finite as $N \to \infty$ (the thermodynamic type limit). The limiting ... More

Multipliers of uniform topological algebrasAug 19 2016Let $E$ be a complete uniform topological algebra with Arens-Michael normed factors $\left(E_{\alpha}\right)_{\alpha\in\Lambda}.$ Then $M\left(E\right) \cong \varprojlim M\left(E_{\alpha}\right)$ within an algebra isomorphism $\varphi$. If each factor ... More

A remark on continuity of positive linear functionals on separable Banach *-algebrasJan 07 2013Apr 29 2014Using a variation of the Murphy-Varopoulos Theorem, we give a new proof of the following R.J.Loy Theorem: Let A be a separable Banach*-algebra with center Z such that ZA has at most countable codimension, then every positive linear functional on A is ... More

1.5 billion words Arabic CorpusNov 12 2016This study is an attempt to build a contemporary linguistic corpus for Arabic language. The corpus produced, is a text corpus includes more than five million newspaper articles. It contains over a billion and a half words in total, out of which, there ... More

$D_s^+ \to φρ^+$ DecayJan 08 1998Motivated by the experimental measurement of the decay rate, $\Gamma$, and the longitudinal polarization, $P_L$, in the Cabibbo favored decay $D_s^+\to \phi {\rho}^{+}$, we have studied theoretical prediction within the context of factorization approximation ... More

Kinetic models of immediate exchangeMay 06 2015We propose a novel kinetic exchange model differing from previous ones in two main aspects. First, the basic dynamics is modified in order to represent economies where immediate wealth exchanges are carried out, instead of reshufflings or uni-directional ... More

Stochastic Optimal Multi-Modes Switching with a Viscosity Solution ApproachFeb 07 2011We consider the problem of optimal multi-modes switching in finite horizon, when the state of the system, including the switching cost functions are arbitrary ($g_{ij}(t,x)\geq 0$). We show existence of the optimal strategy, and give when the optimal ... More

Deterministic Minimax Impulse Control in Finite Horizon: the Viscosity Solution ApproachMar 17 2010We study here the impulse control minimax problem. We allow the cost functionals and dynamics to be unbounded and hence the value functions can possibly be unbounded. We prove that the value function of the problem is continuous. Moreover, the value function ... More

Distributed Data and Programs SlicingFeb 24 2014This paper presents a new technique for data slicing of distributed programs running on a hierarchy of machines. Data slicing can be realized as a program transformation that partitions heaps of machines in a hierarchy into independent regions. Inside ... More