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Swampland conjecture in $f(R)$ gravity by the Noether Symmetry ApproachMay 14 2019Swampland conjecture has been recently proposed to connect early time cosmological models with the string landscape, and then to understand if related scalar fields and potentials can come from some fundamental theory in the high energy regime. In this ... More

Large Deviations for a Class of Semilinear Stochastic Partial Differential Equations in Arbitrary Space DimensionNov 10 2017We prove the large deviation principle (LDP) for the law of the solutions to a class of parabolic semilinear stochastic partial differential equations (SPDEs) driven by multiplicative noise using the weak convergence method. The space dimension is arbitrary ... More

Breaking of Spatial Diffeomorphism Invariance, Inflation and the Spectrum of Cosmological PerturbationsJun 02 2015Standard inflationary models yield a characteristic signature of a primordial power spectrum with a red tensor and scalar tilt. Nevertheless, Cannone et al recently suggested that, by breaking the assumption of spatial diffeomorphism invariance in the ... More

The smallest part of the generic partition of the nilpotent commutator of a nilpotent matrixFeb 22 2013Let $k$ be an infinite field. Fix a Jordan nilpotent $n$ by $n$ matrix $B = J_P$ with entries in $k$ and associated Jordan type $P$. Let $Q(P)$ be the Jordan type of a generic nilpotent matrix commuting with $B$. In this paper, we use the combinatorics ... More

The poset of the nilpotent commutator of a nilpotent matrixFeb 27 2012Dec 21 2012Let $B$ be an $n \times n$ nilpotent matrix with entries in an infinite field $\k$. Assume that $B$ is in Jordan canonical form with the associated Jordan block partition $P$. In this paper, we study a poset $\mathcal{D}_P$ associated to the nilpotent ... More

Phase transition of generalized two dimensional Yang-Mills U(N) on the sphere for $G(z)=z^4+λ\,z^3$ and Maxwell constructionAug 05 2016The large-N behavior of the quartic-cubic generalized two dimensional Yang-Mills U(N) on the sphere is investigated for finite cubic couplings. First, it is shown that there are two phase transitions one of which is third order and the other one is second ... More

ARI, GARI, Zig and Zag: An introduction to Ecalle's theory of multiple zeta valuesJul 06 2015This text has two goals. The first is to give an introduction to Ecalle's work on mould theory, multiple zeta values and double shuffle theory and relate this work explicitly to the classical theory of multiple zeta values and double shuffle expressed ... More

Scalable Gaussian Process Classification via Expectation PropagationJul 16 2015Variational methods have been recently considered for scaling the training process of Gaussian process classifiers to large datasets. As an alternative, we describe here how to train these classifiers efficiently using expectation propagation. The proposed ... More

Non-linear diffusion in RD and in Hilbert Spaces, a Cylindrical/Functional Integral StudyFeb 27 2010Jul 02 2012We present a proof for the existence and uniqueness of weak solutions for a cut-off and non cut-off model of non-linear diffusion equation in finite-dimensional space RD useful for modelling flows on porous medium with saturation, turbulent advection, ... More

Multifractal Formalism and Inequality involving Packing DimensionJun 07 2008This article fits in many studies of multifractal analysis of measure. We took as a starting point the work of F. Ben Nasr in " Calculs de dimension de packing " to give a new inequality involving $Dim(\bar{X}^{\alpha})$ which would be, in certain cases, ... More

Period polynomial relations between double zeta valuesSep 17 2011The even weight period polynomial relations in the double shuffle Lie algebra $\mathfrak{ds}$ were discovered by Ihara, and completely classified by the second author by relating them to restricted even period polynomials associated to cusp forms on $\mathrm{SL}_2(\mathbb{Z})$. ... More

Around a conjecture of ErdH{o}s on graph Ramsey numbersNov 27 2012For given graphs G1 and G2 the Ramsey number R(G1,G2), is the smallest positive integer n such that each blue-red edge coloring of the complete graph Kn contains a blue copy of G1 or a red copy of G2. In 1983, Erdos conjectured that there is an absolute ... More

CLaC at SemEval-2016 Task 11: Exploring linguistic and psycho-linguistic Features for Complex Word IdentificationSep 08 2017This paper describes the system deployed by the CLaC-EDLK team to the "SemEval 2016, Complex Word Identification task". The goal of the task is to identify if a given word in a given context is "simple" or "complex". Our system relies on linguistic features ... More

CLaC @ QATS: Quality Assessment for Text SimplificationAug 19 2017This paper describes our approach to the 2016 QATS quality assessment shared task. We trained three independent Random Forest classifiers in order to assess the quality of the simplified texts in terms of grammaticality, meaning preservation and simplicity. ... More

Average Gromov hyperbolicity and the Parisi ansatzJul 06 2019Jul 10 2019Gromov hyperbolicity of a metric space measures the distance of the space from a perfect tree-like structure. The measure has a "worst-case" aspect to it, in the sense that it detects a region in the space which sees the maximum deviation from tree-like ... More

Using arguments for making decisions: A possibilistic logic approachJul 11 2012Humans currently use arguments for explaining choices which are already made, or for evaluating potential choices. Each potential choice has usually pros and cons of various strengths. In spite of the usefulness of arguments in a decision making process, ... More

Une nouvelle approche de complétion des valeurs manquantes dans les bases de donnéesJan 03 2019When tackling real-life datasets, it is common to face the existence of scrambled missing values within data. Considered as 'dirty data', usually it is removed during a pre-processing step. Starting from the fact that 'making up this missing data is better ... More

Superstrings, Phenomenology and F-theoryDec 29 2009Jan 05 2010We give brief ideas on building gauge models in superstring theory, especially the four-dimensional models obtained from the compactification of F-theory. According to Vafa, we discuss the construction of F-theory to approach non-perturbative aspects ... More

Interpreting and improving natural-language processing (in machines) with natural language-processing (in the brain)May 28 2019Jun 06 2019Neural network models for NLP are typically implemented without the explicit encoding of language rules and yet they are able to break one performance record after another. Despite much work, it is still unclear what the representations learned by these ... More

A Novel Approach for Modeling Complex Deep FuturesDec 02 2016Many large-scale, complex systems consist of interactions between humans, human-made systems and the environment. The approach developed in this paper is to partition the problem space into two fundamental layers and identify, parameterize and model the ... More

Reconstructing Faces from fMRI Patterns using Deep Generative Neural NetworksOct 09 2018Feb 17 2019While objects from different categories can be reliably decoded from fMRI brain response patterns, it has proved more difficult to distinguish visually similar inputs, such as different instances of the same category. Here, we apply a recently developed ... More

Average Gromov hyperbolicity and the Parisi ansatzJul 06 2019Gromov hyperbolicity of a metric space measures the distance of the space from a perfect tree-like structure. The measure has a "worst-case'' aspect to it, in the sense that it detects a region in the space which sees the maximum deviation from tree-like ... More

Proceedings First Latin American Workshop on Formal MethodsJan 02 2014Formal approaches to software development are techniques that aim at developing quality software by employing notations, analysis processes, etc., based on mathematical grounds. Although traditionally they aim at increasing software correctness, formal ... More

Measuring the Effect of Discourse Relations on Blog SummarizationAug 19 2017The work presented in this paper attempts to evaluate and quantify the use of discourse relations in the context of blog summarization and compare their use to more traditional and factual texts. Specifically, we measured the usefulness of 6 discourse ... More

N-gram and Neural Language Models for Discriminating Similar LanguagesAug 11 2017This paper describes our submission (named clac) to the 2016 Discriminating Similar Languages (DSL) shared task. We participated in the closed Sub-task 1 (Set A) with two separate machine learning techniques. The first approach is a character based Convolution ... More

Improvements of some operator inequalities involving positive linear maps via the Kantorovich constantJan 06 2018We present some operator inequalities for positive linear maps that generalize and improve the derived results in some recent years. For instant, if $A$ and $B$ are positive operators and $m,m^{'},M,M^{'}$ are positive real numbers satisfying either one ... More

Mono-Higgs signature in fermionic dark matter modelAug 16 2016Aug 12 2017In light of the Higgs boson discovery, we explore mono-Higgs signature in association with dark matter pair production at the LHC in a renormalizable model with a fermionic dark matter candidate. For two channels with $\gamma\gamma+\text{MET}$ and $b ... More

Optimal third root asymptotic bounds in the statistical estimation of thresholdsDec 06 2007This paper is concerned with estimating the intersection point of two densities, given a sample of both of the densities. This problem arises in classification theory. The main results provide lower bounds for the probability of the estimation errors ... More

Bound on the Jordan type of a generic nilpotent matrix commuting with a given matrixApr 20 2012Nov 20 2012It is well-known that a nilpotent n by n matrix B is determined up to conjugacy by a partition of n formed by the sizes of the Jordan blocks of B. We call this partition the Jordan type of B. We obtain partial results on the following problem: for any ... More

Simple Mathematical Model Of Pathologic Microsatellite Expansions: When Self-Reparation Does Not WorkJul 29 2007We propose a simple model of pathologic microsatellite expansion, and describe an inherent self-repairing mechanism working against expansion. We prove that if the probabilities of elementary expansions and contractions are equal, microsatellite expansions ... More

ATLAS Sensitivity to the Flavour-Changing Neutral Current Decay $t \to Zq$May 08 2002The sensitivity of the ATLAS experiment to the top-quark rare decay via flavor-changing neutral currents $t \rightarrow Zq$ ($q$ represents $c$ and $u$ quarks) has been studied at $\sqrt{s}$=14 TeV in two decay modes: 1.The pure leptonic decay of gauge ... More

On the derivation representation of the fundamental Lie algebra of mixed elliptic motivesOct 19 2015Richard Hain and Makoto Matsumoto constructed a category of universal mixed elliptic motives, and described the fundamental Lie algebra of this category: it is a semi-direct product of the fundamental Lie algebra Lie$\,\pi_1(MTM)$ of the category of mixed ... More

Approximate MMSE Estimator for Linear Dynamic Systems with Gaussian Mixture NoiseApr 14 2014Jun 25 2015In this work we propose an approximate Minimum Mean-Square Error (MMSE) filter for linear dynamic systems with Gaussian Mixture noise. The proposed estimator tracks each component of the Gaussian Mixture (GM) posterior with an individual filter and minimizes ... More

On $m$-Closed GraphsAug 29 2017A graph is closed when its vertices have a labeling by $[n]$ such that the binomial edge ideal $J_G$ has a quadratic Gr\"{o}bner basis with respect to the lexicographic order induced by $x_1 > \cdots > x_n > y_1> \cdots > y_n$. In this paper, we generalize ... More

Performance Analysis of NOMA for Ultra-Reliable and Low-Latency CommunicationsOct 04 2018Grant-free non-orthogonal multiple access (NOMA) has been regarded as a key-enabler technology for ultra-reliable and low-latency communications (URLLC). In this paper, we analyse the performance of NOMA with short packet communications for URLLC. In ... More

ClaC: Semantic Relatedness of Words and PhrasesAug 19 2017The measurement of phrasal semantic relatedness is an important metric for many natural language processing applications. In this paper, we present three approaches for measuring phrasal semantics, one based on a semantic network model, another on a distributional ... More

Automatic Mapping of French Discourse Connectives to PDTB Discourse RelationsJun 29 2017In this paper, we present an approach to exploit phrase tables generated by statistical machine translation in order to map French discourse connectives to discourse relations. Using this approach, we created ConcoLeDisCo, a lexicon of French discourse ... More

Automatic Identification of AltLexes using Monolingual Parallel CorporaAug 11 2017The automatic identification of discourse relations is still a challenging task in natural language processing. Discourse connectives, such as "since" or "but", are the most informative cues to identify explicit relations; however discourse parsers typically ... More

Gorenstein injective dimension, Bass formula and Gorenstein ringsDec 31 2003Jun 01 2004Let $(R,\frak m, k)$ be a noetherian local ring. It is well-known that $R$ is regular if and only if the injective dimension of $k$ is finite. In this paper it is shown that $R$ is Gorenstein if and only if the Gorenstein injective dimension of $k$ is ... More

Observational Constraints on Warm Inflation in Loop Quantum CosmologyJul 05 2019Jul 09 2019By incorporating quantum aspects of gravity, Loop Quantum Cosmology (LQC) provides a self-consistent extension of the inflationary scenario, allowing for modifications in the primordial inflationary power spectrum with respect to the standard General ... More

Observational Constraints on Warm Inflation in Loop Quantum CosmologyJul 05 2019Jul 11 2019By incorporating quantum aspects of gravity, Loop Quantum Cosmology (LQC) provides a self-consistent extension of the inflationary scenario, allowing for modifications in the primordial inflationary power spectrum with respect to the standard General ... More

Relations dans l'algèbre de Lie fondamentale des motifs elliptiques mixtesOct 22 2013Nov 18 2015Hain and Matsumoto constructed a category of universal mixed elliptic motives and described the fundamental Lie algebra of this category, relating it to a certain graded and filtered Lie algebra E. In an unpublished paper, Aaron Pollack proved a result ... More

Analytic MMSE Bounds in Linear Dynamic Systems with Gaussian Mixture Noise StatisticsJun 25 2015Using state-space representation, mobile object positioning problems can be described as dynamic systems, with the state representing the unknown location and the observations being the information gathered from the location sensors. For linear dynamic ... More

A New Reduction Scheme for Gaussian Sum FiltersMay 13 2014In many signal processing applications it is required to estimate the unobservable state of a dynamic system from its noisy measurements. For linear dynamic systems with Gaussian Mixture (GM) noise distributions, Gaussian Sum Filters (GSF) provide the ... More

Gorenstein Dimensions under Base ChangeOct 07 2002Nov 18 2002The so-called 'change-of-ring' results are well-known expressions which present several connections between projective, injective and flat dimensions over the various base rings. In this note we extend these results to the Gorenstein dimensions over Cohen-Macaulay ... More

Quantum Speedup Based on Classical Decision TreesMay 30 2019Lin and Lin have recently shown how starting with a classical query algorithm (decision tree) for a function, we may find upper bounds on its quantum query complexity. More precisely, they have shown that given a decision tree for a function $f:\{0,1\}^n\to[m]$ ... More

Confining D-Instanton Background in an External Electric FieldApr 22 2019Using holography, we discuss the effects of an external static electric field on the D3/D-instanton theory at zero-temperature, which is a quasi-confining theory, with confined quarks and deconfined gluons. We introduce the quarks to the theory by embedding ... More

On the elliptic Kashiwara-Vergne Lie algebraSep 25 2018We recall the definitions of two independently defined elliptic versions of the Kashiwara-Vergne Lie algebra $\frak{krv}$, namely the Lie algebra $\frak{krv}^{(1,1)}$ constructed by A.Alekseev, N.Kawazumi, Y.Kuno and F.Naef arising from the study of graded ... More

On linearised and elliptic versions of the Kashiwara-Vergne Lie algebraJun 26 2017The goal of this article is to define a linearized or depth-graded version $\mathfrak{lkv}$, and a closely related elliptic version $\mathfrak{krv}_{ell}$, of the Kashiwara-Vergne Lie algebra $\mathfrak{krv}$ originally constructed by Alekseev and Torossian ... More

On the Contribution of Discourse Structure on Text Complexity AssessmentAug 19 2017This paper investigates the influence of discourse features on text complexity assessment. To do so, we created two data sets based on the Penn Discourse Treebank and the Simple English Wikipedia corpora and compared the influence of coherence, cohesion, ... More

Improving Discourse Relation Projection to Build Discourse Annotated CorporaJul 20 2017The naive approach to annotation projection is not effective to project discourse annotations from one language to another because implicit discourse relations are often changed to explicit ones and vice-versa in the translation. In this paper, we propose ... More

Argument Labeling of Explicit Discourse Relations using LSTM Neural NetworksAug 11 2017Sep 07 2017Argument labeling of explicit discourse relations is a challenging task. The state of the art systems achieve slightly above 55% F-measure but require hand-crafted features. In this paper, we propose a Long Short Term Memory (LSTM) based model for argument ... More

Automatic Disambiguation of French Discourse ConnectivesApr 18 2017Discourse connectives (e.g. however, because) are terms that can explicitly convey a discourse relation within a text. While discourse connectives have been shown to be an effective clue to automatically identify discourse relations, they are not always ... More

Mould theory and the double shuffle Lie algebra structureOct 19 2015The real multiple zeta values $\zeta(k_1,\ldots,k_r)$ are known to form a ${\bf Q}$-algebra; they satisfy a pair of well-known families of algebraic relations called the double shuffle relations. In order to study the algebraic properties of multiple ... More

Average Gromov hyperbolicity and the Parisi ansatzJul 06 2019Jul 11 2019Gromov hyperbolicity of a metric space measures the distance of the space from a perfect tree-like structure. The measure has a "worst-case" aspect to it, in the sense that it detects a region in the space which sees the maximum deviation from tree-like ... More

Large Deviations for a Class of Semilinear Stochastic Partial Differential EquationsJul 02 2016We prove the large deviations principle (LDP) for the law of the solutions to a class of semilinear stochastic partial differential equations driven by multiplicative noise. Our proof is based on the weak convergence approach and significantly improves ... More

Distributed State Machine Supervision for Long-baseline Gravitational-wave DetectorsApr 06 2016Aug 11 2016The Laser Interferometer Gravitational-wave Observatory (LIGO) consists of two identical yet independent, widely-separated, long-baseline gravitational-wave detectors. Each Advanced LIGO detector consists of complex optical-mechanical systems isolated ... More

A Model for Dark Energy decayFeb 02 2012Aug 06 2013We discuss a model of non perturbative decay of dark energy into hot and cold dark matter. This model provides a mechanism from the field theory to realize the energy transfer from dark energy into dark matter, which is the requirement to alleviate the ... More

Monte Carlo Simulation to relate primary and final fragments mass and kinetic energy distribution from low energy fission of $^{234}U$Jan 25 2008The kinetic energy distribution as a function of mass of final fragments (m) from low energy fission of $^{234}U$, measured with the Lohengrin spectrometer by Belhafaf et al. presents a peak around m=108 and another around m = 122. The authors attribute ... More

A control theorem for $p$-adic automorphic forms and Teitelbaum's $\mathcal{L}$-invariantMay 05 2017In this article, we describe an efficient method for computing Teitelbaum's $p$-adic $\mathcal{L}$-invariant. These invariants are realized as the eigenvalues of the $\mathcal{L}$-operator acting on a space of harmonic cocycles on the Bruhat-Tits tree ... More

Bound on the variation in the fine structure constant implied by Oklo dataOct 03 2015Oct 12 2015Dynamical models of dark energy can imply that the fine structure constant $\alpha$ varies over cosmological time scales. Data on shifts in resonance energies $E_r$ from the Oklo natural fission reactor have been used to place restrictive bounds on the ... More

On a partially ordered set associated to ring morphismsOct 14 2018We associate to any ring $R$ with identity a partially ordered set Hom$(R)$, whose elements are all pairs $(\mathfrak a,M)$, where $\mathfrak a=\ker\varphi$ and $M=\varphi^{-1}(U(S))$ for some ring morphism $\varphi$ of $R$ into an arbitrary ring $S$. ... More

Quantum Transport of Dirac fermions in graphene with a spatially varying Rashba spin-orbit couplingJan 20 2016We theoretically study electronic transport through a region with inhomogeneous Rashba spin-orbit (RSO) coupling placed between two normal regions in a monolayer graphene. The inhomogeneous RSO region is characterized by linearly varying RSO strength ... More

GANS for Sequences of Discrete Elements with the Gumbel-softmax DistributionNov 12 2016Generative Adversarial Networks (GAN) have limitations when the goal is to generate sequences of discrete elements. The reason for this is that samples from a distribution on discrete objects such as the multinomial are not differentiable with respect ... More

On the structure of sequentially Cohen--Macaulay bigraded modulesJan 29 2013Oct 14 2015Let $K$ be a field and $S=K[x_1,\ldots,x_m, y_1,\ldots,y_n]$ be the standard bigraded polynomial ring over $K$. In this paper, we explicitly describe the structure of finitely generated bigraded "sequentially Cohen--Macaulay" $S$-modules with respect ... More

$W'$ Pair Production in the Light of CMS SearchesOct 14 2017Oct 07 2018For the first time, the pair production of the heavy charged gauge bosons, known as $W'$ bosons is considered, when both decay to $\tau$ leptons. The reported detailed efficiency of object/event selection by the CMS experiment is used to find the lower ... More

Exact Solutions of a Fermion-Soliton System in Two DimensionsSep 12 2013We investigate a coupled system of a Dirac particle and a pseudoscalar field in the form of a soliton in (1+1) dimensions and find some of its exact solutions numerically. We solve the coupled set of equations self-consistently and non-perturbatively ... More

Irreducible representations of knot groups into SL(n,C)Feb 13 2015The aim of this article is to study the existence of certain reducible, metabelian representations of knot groups into $\mathrm{SL}(n,\mathbf{C})$ which generalise the representations studied previously by G.~Burde and G.~de Rham. Under specific hypotheses ... More

Reappraisal of the limit on the variation in $α$ implied by OkloMar 20 2015May 27 2015We reconsider the analysis of the sensitivity of neutron resonance energies $E_i$ to changes in $\alpha$ with a view to resolving uncertainties that plague earlier treatments. We point out that, with more appropriate choices of nuclear parameters, the ... More

Probabilistic Backpropagation for Scalable Learning of Bayesian Neural NetworksFeb 18 2015Jul 15 2015Large multilayer neural networks trained with backpropagation have recently achieved state-of-the-art results in a wide range of problems. However, using backprop for neural net learning still has some disadvantages, e.g., having to tune a large number ... More

Dealing with Integer-valued Variables in Bayesian Optimization with Gaussian ProcessesJun 12 2017Jun 13 2017Bayesian optimization (BO) methods are useful for optimizing functions that are expensive to evaluate, lack an analytical expression and whose evaluations can be contaminated by noise. These methods rely on a probabilistic model of the objective function, ... More

Constrained Bayesian Optimization for Automatic Chemical DesignSep 16 2017Jun 27 2018Automatic Chemical Design provides a framework for generating novel molecules with optimized molecular properties. The current model suffers from the pathology that it tends to produce invalid molecular structures. By reformulating the search procedure ... More

Predictive Entropy Search for Multi-objective Bayesian Optimization with ConstraintsSep 05 2016Sep 26 2016This work presents PESMOC, Predictive Entropy Search for Multi-objective Bayesian Optimization with Constraints, an information-based strategy for the simultaneous optimization of multiple expensive-to-evaluate black-box functions under the presence of ... More

The $H_0$ and $σ_8$ tensions and the scale invariant spectrumDec 02 2017Jun 21 2018In a previous communication we showed that a joint analysis of Cosmic Microwave Background (CMB) data and the current measurement of the local expansion rate favours a model with a scale invariant spectrum (HZ) over the minimal $\Lambda$CDM scenario provided ... More

Back-Reaction of Super-Hubble Cosmological Perturbations Beyond Perturbation TheoryJul 19 2018We discuss the effect of super-Hubble cosmological fluctuations on the locally measured Hubble expansion rate. We consider a large bare cosmological constant in the early universe in the presence of scalar field matter (the dominant matter component), ... More

Do joint CMB and HST data support a scale invariant spectrum?Feb 21 2017We combine current measurements of the local expansion rate, $H_0$, and Big Bang Nucleosynthesis (BBN) estimates of helium abundance with the latest cosmic microwave background (CMB) data from the Planck Collaboration to discuss the observational viability ... More

Primordial gravitational waves and the H0-tension problemSep 12 2018Feb 16 2019We analyse the H0-tension problem in the context of models of the early universe that predict a blue tilted spectrum of primordial gravitational waves (GW's). By considering the GW's contribution, Neff^GW, to the effective number of relativistic degrees ... More

A Note on Trans-Planckian Tail EffectsMay 10 2015We study the proposal by Mersini et al. that the observed dark energy might be explained by the back-reaction of the set of tail modes in a theory with a dispersion relation in which the mode frequency decays exponentially in the trans-Planckian regime. ... More

Deep Gaussian Processes for Regression using Approximate Expectation PropagationFeb 12 2016Deep Gaussian processes (DGPs) are multi-layer hierarchical generalisations of Gaussian processes (GPs) and are formally equivalent to neural networks with multiple, infinitely wide hidden layers. DGPs are nonparametric probabilistic models and as such ... More

Stochastic Expectation Propagation for Large Scale Gaussian Process ClassificationNov 10 2015Dec 04 2015A method for large scale Gaussian process classification has been recently proposed based on expectation propagation (EP). Such a method allows Gaussian process classifiers to be trained on very large datasets that were out of the reach of previous deployments ... More

Predictive Entropy Search for Multi-objective Bayesian OptimizationNov 17 2015Feb 21 2016We present PESMO, a Bayesian method for identifying the Pareto set of multi-objective optimization problems, when the functions are expensive to evaluate. The central idea of PESMO is to choose evaluation points so as to maximally reduce the entropy of ... More

Semi-Supervised Domain Adaptation with Non-Parametric CopulasJan 01 2013A new framework based on the theory of copulas is proposed to address semi- supervised domain adaptation problems. The presented method factorizes any multivariate density into a product of marginal distributions and bivariate cop- ula functions. Therefore, ... More

Face Recognition: A Novel Multi-Level Taxonomy based SurveyJan 03 2019In a world where security issues have been gaining growing importance, face recognition systems have attracted increasing attention in multiple application areas, ranging from forensics and surveillance to commerce and entertainment. To help understanding ... More

Black-box $α$-divergence MinimizationNov 10 2015Jun 01 2016Black-box alpha (BB-$\alpha$) is a new approximate inference method based on the minimization of $\alpha$-divergences. BB-$\alpha$ scales to large datasets because it can be implemented using stochastic gradient descent. BB-$\alpha$ can be applied to ... More

The Robertson-Walker Metric in a Pseudo-Complex General RelativityJan 28 2010We investigate the consequences of the pseudo-complex General Relativity within a pseudo-complexified Roberston-Walker metric. A contribution to the energy-momentum tensor arises, which corresponds to a dark energy and may change with the radius of the ... More

Large Eddy Simulation of Turbulent Barotropic Flows in Spectral Space on the SphereApr 08 2014Numerical simulations of atmospheric circulation models are limited by their finite spatial resolution, and so large eddy simulation (LES) is the preferred approach to study these models. In LES a low-pass filter is applied to the flow field to separate ... More

Tunnel Effect or 'Saute-Mouton'?Nov 23 2011An infinite well potential containing a rectangular barrier in its center is used to verify if the passage of a quantum particle through the barrier is described by tunnel effect or 'saute-mouton'.

A Novel Device-to-Device Discovery Scheme for Underlay Cellular NetworksFeb 26 2017Tremendous growing demand for high data rate services such as video, gaming and social networking in wireless cellular systems, attracted researchers' attention to focus on developing proximity services. In this regard, device-to-device (D2D) communications ... More

An Investigation of the Casimir Energy for a Fermion Coupled to the Sine-Gordon Soliton with Parity DecompositionDec 10 2012Jan 14 2014We consider a fermion chirally coupled to a prescribed pseudoscalar field in the form of the soliton of the sine-Gordon model and calculate and investigate the Casimir energy and all of the relevant quantities for each parity channel, separately. We present ... More

A molecular dynamics approach to dissipative relativistic hydrodynamics: propagation of fluctuationsNov 12 2016Relativistic generalization of hydrodynamic theory has attracted much attention from a theoretical point of view. However, it has many important practical applications in high energy as well as astrophysical contexts. Despite various attempts to formulate ... More

Extraction de la racine carree d'un entier naturel chez al-BaghdadiJun 19 2019Between the ninth and fifteenth centuries, several Arab mathematicians studied numerical algorithms on integers. The extraction of the square root of an integer is based on an algorithm known at least since al-Khwarizmi (died around 850) which presents ... More

Deformations of metabelian representations of knot groups into $SL(3,\mathbb{C})$Oct 18 2007Oct 16 2008Let K be a knot in $S^3$ and $X$ its complement. We study deformations of reducible metabelian representations of the knot group $\pi_1(X)$ into $SL(3,\mathbb{C})$ which are associated to a double root of the Alexander polynomial. We prove that these ... More

A semi-empirical model for magnetic braking of solar-type starsSep 10 2017We develop new angular momentum evolution models for stars with masses of $0.5$ to $1.6~\rm M_\odot$ and from the pre-main-sequence (\rm PMS) through the end of their main-sequence (\rm MS) lifetime. The parametric models include magnetic braking based ... More

Computing discrete Morse complexes from simplicial complexesNov 11 2018We consider the problem of efficiently computing a discrete Morse complex on simplicial complexes of arbitrary dimension and very large size. Based on a common graph-based formalism, we analyze existing data structures for simplicial complexes, and we ... More

The possible extremal Betti numbers of a homogeneous idealNov 02 2011Aug 28 2013We give a numerical characterization of the possible extremal Betti numbers (values as well as positions) of any homogeneous ideal in a polynomial ring over a field.

Sur la variation de certaines suites de parties fractionnairesJul 23 2019Let $b > a > 0$. We prove the following asymptotic formula $$\sum_{n\ge 0} \big\lvert\{x/(n+a)\} - \{x/(n+b)\}\big\rvert = \frac{2}{\pi}\zeta(3/2)\sqrt{cx} + O(c^{2/9}x^{4/9}),$$ with $c=b-a$, uniformly for $x \ge 40 c^{-5}(1+b)^{27/2}$.

A Formal Semantic for UML 2.0 Activity Diagram based on Institution TheoryJun 07 2016Giving a formal semantic to an UML Activity diagram (UML AD) is a hard task. The reason of this difficulty is the ambiguity and the absence of a precise formal semantic of such semi-formal formalism. A variety of semantics exist in the literature having ... More

Analyses and performance of techniques PAPR reduction for STBC MIMO-OFDM system in (4G) wireless communicationNov 14 2013An OFDM system is combined with multiple-input multiple-output (MIMO) in order to increase the diversity gain and system capacity over the time variant frequency-selective channels. However, a major drawback of MIMO-OFDM system is that the transmitted ... More

Casimir Energy for a Coupled Fermion-Kink System and its stabilitySep 20 2012Sep 22 2012We compute the Casimir energy for a system consisting of a fermion and a pseudoscalar field in the form of a prescribed kink. This model is not exactly solvable and we use the phase shift method to compute the Casimir energy. We use the relaxation method ... More

Holographic Schwinger Effect in a D-Instanton BackgroundNov 25 2015Mar 13 2018The Schwinger effect in the presence of instantons is considered in this paper. Using AdS/CFT correspondence in the near horizon limit of the D3+D($-1$)-brane background, we calculate the total potential of a quark-antiquark pair in an external electric ... More