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Deep Graph Convolutional Encoders for Structured Data to Text GenerationOct 23 2018Most previous work on neural text generation from graph-structured data relies on standard sequence-to-sequence methods. These approaches linearise the input graph to be fed to a recurrent neural network. In this paper, we propose an alternative encoder ... More

Generating Summaries with Topic Templates and Structured Convolutional DecodersJun 11 2019Existing neural generation approaches create multi-sentence text as a single sequence. In this paper we propose a structured convolutional decoder that is guided by the content structure of target summaries. We compare our model with existing sequential ... More

Bootstrapping Generators from Noisy DataApr 17 2018Apr 18 2018A core step in statistical data-to-text generation concerns learning correspondences between structured data representations (e.g., facts in a database) and associated texts. In this paper we aim to bootstrap generators from large scale datasets where ... More

Bootstrapping Generators from Noisy DataApr 17 2018Mar 18 2019A core step in statistical data-to-text generation concerns learning correspondences between structured data representations (e.g., facts in a database) and associated texts. In this paper we aim to bootstrap generators from large scale datasets where ... More

Analysing Data-To-Text Generation BenchmarksMay 10 2017Recently, several data-sets associating data to text have been created to train data-to-text surface realisers. It is unclear however to what extent the surface realisation task exercised by these data-sets is linguistically challenging. Do these data-sets ... More

Neural Codes and the Factor ComplexApr 05 2019We introduce the factor complex of a neural code, and show how intervals and maximal codewords are captured by the combinatorics of factor complexes. We use these results to obtain algebraic and combinatorial characterizations of max-intersection-complete ... More

African Dust Influence on Atlantic Hurricane Activity and the Peculiar Behaviour of Category 5 HurricanesMar 24 2010We study the specific influence of African dust on each one of the categories of Atlantic hurricanes. By applying wavelet analysis, we find a strong decadal modulation of African dust on Category 5 hurricanes and an annual modulation on all other categories ... More

ExoMol Molecular linelists - XXXIII. The spectrum of Titanium OxideMay 11 2019Accurate line lists are crucial for correctly modelling a variety of astrophysical phenomena, including stellar photospheres and the atmospheres of extra-solar planets. This paper presents a new line database Toto for the main isotopologues of titanium ... More

Schaeffer's regularity theorem for scalar conservation laws does not extend to systemsMay 04 2015Schaeffer's regularity theorem for scalar conservation laws can be loosely speaking formulated as follows. Assume that the flux is uniformly convex, then for a generic smooth initial datum the admissible solution is smooth outside a locally finite number ... More

New interaction estimates for the Baiti-Jenssen systemMay 03 2015Oct 15 2015We establish new interaction estimates for a system introduced by Baiti and Jenssen. These estimates are pivotal to the analysis of the wave front-tracking approximation. In a companion paper we use them to construct a counter-example which shows that ... More

Aztarna, a footprinting tool for robotsDec 22 2018Industry 4.0 is changing the commonly held assumption that robots are to be deployed in closed and isolated networks. When analyzed from a security point of view, the global picture is disheartening: robotics industry has not seriously allocated effort ... More

Variable structure control for parabolic evolution equationsJun 03 2005In this paper it is considered a class of infinite-dimensional control systems in a variational setting. By using a Faedo-Galerkin method, a sequence of approximating finite dimensional controlled differential equations is defined. On each of these systems ... More

Formality for the nilpotent cone and a derived Springer correspondenceJun 19 2012Dec 04 2012Recall that the Springer correspondence relates representations of the Weyl group to perverse sheaves on the nilpotent cone. We explain how to extend this to an equivalence between the triangulated category generated by the Springer perverse sheaves and ... More

A classification of the irreducible admissible genuine mod p representations of the metaplectic cover of p-adic SL(2)Dec 01 2014Dec 23 2015We classify the irreducible, admissible, smooth, genuine mod p representations of the metaplectic double cover of SL(2,F), where F is a p-adic field and p is odd. We show, using a generalized Satake transform, that each such representation is isomorphic ... More

Proton Decay in a 6D SO(10) modelJun 24 2005We present a study of proton decay in a supersymmetric $ SO(10)$ gauge theory in six dimensions compactified on an orbifold. The dimension 5 proton decay operators are absent, but the dimension 6 are enhanced due to the presence of KK towers. We resum ... More

Existence of Periodic Solutions for some Singular Elliptic Equations with Strong Resonant DataDec 14 2011We prove the existence of at least one T-periodic solution (T > 0) for differential equations of the form (u'(t)/sqrt{1-u'^2(t)})'=f(u(t))+h(t), in (0,T), where f is a continuous function defined on R that satisfies a strong resonance condition, h is ... More

Accuracy and validity of posterior distributions using the Cressie-Read empirical likelihoodsAug 02 2017Nov 02 2017The class of Cressie-Read empirical likelihoods are constructed with weights derived at a minimum distance from the empirical distribution in the Cressie-Read family of divergences indexed by $\gamma$ under the constraint of an unbiased set of $M$-estimating ... More

New $L^p$ bounds for Bochner-Riesz multipliers associated with convex planar domains with rough boundarySep 17 2015Oct 11 2016We consider generalized Bochner-Riesz multipliers of the form $(1-\rho(\xi))_+^{\lambda}$ where $\rho(\xi)$ is the Minkowski functional of a convex domain in $\mathbb{R}^2$, with emphasis on domains for which the usual Carleson-Sj\"{o}lin $L^p$ bounds ... More

Radial Fourier Multipliers in $\mathbb{R}^3$ and $\mathbb{R}^4$Oct 11 2016We prove that for radial Fourier multipliers $m: \mathbb{R}^3\to\mathbb{C}$ supported compactly away from the origin, $T_m$ is restricted strong type (p,p) if $K=\hat{m}$ is in $L^p(\mathbb{R}^3)$, in the range $1<p<\frac{13}{12}$. We also prove an $L^p$ ... More

Kakeya sets of curvesFeb 04 2005We investigate analogues for curves of the Kakeya problem for straight lines. These arise from H"ormander-type oscillatory integrals in the same way as the straight line case comes from the restriction and Bochner-Riesz problems. Using some of the geometric ... More

The Plateau problem for polygonal boundary curves in Minkowski 3-spaceDec 16 2010We apply Garnier's method to solve the Plateau problem for maximal surfaces in Minkowski 3-space. Our study relies on the improved version we gave of R. Garnier's resolution of the Plateau problem for polygonal boundary curves in Euclidean 3-space. Since ... More

Homotopy sphere representations for matroidsMar 16 2009For any rank $r$ oriented matroid $M$, a construction is given of a "topological representation" of $M$ by an arrangement of homotopy spheres in a simplicial complex which is homotopy equivalent to $S^{r-1}$. The construction is completely explicit and ... More

Depth of vertices with high degree in random recursive treesNov 22 2016Let $T_n$ be a random recursive tree with $n$ nodes. List vertices of $T_n$ in decreasing order of degree as $v^1,\ldots,v^n$, and write $d^i$ and $h^i$ for the degree of $v^i$ and the distance of $v^i$ from the root, respectively. We prove that, as $n ... More

Multiplier transformations associated to convex domains in $\mathbb{R}^2$Aug 18 2015We consider Fourier multipliers in $\mathbb{R}^2$ of the form $m\circ\rho$ where $\rho$ is the Minkowski functional associated to a convex set in $\mathbb{R}^2$, and prove $L^p$ bounds for the corresponding multiplier operators. It is of interest to consider ... More

The intertwiner spaces of non-easy group-theoretical quantum groupsAug 23 2018Sep 07 2018In 2015, Raum and Weber gave a definition of group-theoretical quantum groups, a class of compact matrix quantum groups with a certain presentation as semi-direct product quantum groups, and studied the case of easy quantum groups. In this article we ... More

Results from the STEREO Experiment with 119 days of Reactor-on DataMay 28 2019In the past decades, short baseline neutrino oscillation studies around experimental or commercial reactor cores have revealed two anomalies. The first one is linked to the absolute flux and the second one to the spectral shape. The first anomaly, called ... More

Dynamics of compact binary systems in scalar-tensor theories: I. Equations of motion to the third post-Newtonian orderFeb 27 2018Dec 11 2018Scalar-tensor theories are one of the most natural and well-constrained alternative theories of gravity, while still allowing for significant deviations from general relativity. We present the equations of motion of nonspinning compact binary systems ... More

Dynamics of compact binary systems in scalar-tensor theories: II. Center-of-mass and conserved quantities to 3PN orderDec 11 2018The equations of motion of nonspinning compact binary systems at the third post-Newtonian (PN) order in massless scalar-tensor theories have recently been obtained. In the present paper, we complete this work by computing at 3PN order the ten integrals ... More

Poincaré series on good semigroup idealsSep 03 2018Sep 10 2018The Poincar\'e series of a ring associated to a plane curve was defined by Campillo, Delgado, and Gusein-Zade. This series, defined through the value semigroup of the curve, encodes the topological information of the curve. In this paper we extend the ... More

A non-increasing tree growth process for recursive trees and applicationsJan 06 2017Aug 11 2018We introduce a non-increasing tree growth process $((T_n,\sigma_n),\, n\ge 1)$, where $T_n$ is a rooted labeled tree on $n$ vertices and ${\sigma}_n$ is a permutation of the vertex labels. The construction of $(T_{n},{\sigma}_n)$ from $(T_{n-1},{\sigma}_{n-1})$ ... More

Multilevel Monte Carlo on a high-dimensional parameter space for transmission problems with geometric uncertaintiesJun 25 2017In the framework of uncertainty quantification, we consider a quantity of interest which depends non-smoothly on the high-dimensional parameter representing the uncertainty. We show that, in this situation, the multilevel Monte Carlo algorithm is a valid ... More

Counting periodic points over finite fieldsMay 25 2017Let $V$ be a quasiprojective variety defined over $\mathbb{F}_q$, and let $\phi:V\rightarrow V$ be an endomorphism of $V$ that is also defined over $\mathbb{F}_q$. Let $G$ be a finite subgroup of $\operatorname{Aut}_{\mathbb{F}_q}(V)$ with the property ... More

The generating of Fractal Images Using MathCAD ProgramMar 24 2009This paper presents the graphic representation in the z-plane of the first three iterations of the algorithm that generates the Sierpinski Gasket. It analyzes the influence of the f(z) map when we represent fractal images.

Multifrequency and IUE Campaigns on BlazarsMay 01 1998The IUE contribution to the understanding of the blazar phenomenon has been of fundamental importance. Here I review the progress obtained with the latest multifrequency campaigns performed with IUE on two prototype objects, the BL Lac PKS 2155-304 and ... More

The dynamics of maps tangent to the identity and with non-vanishing indexJan 29 2005Jun 29 2007Let f be a germ of holomorphic self-map of C^2 at the origin O tangent to the identity, and with O as a non-dicritical isolated fixed point. A parabolic curve for f is a holomorphic f-invariant curve, with O on the boundary, attracted by O under the action ... More

Predicting Yelp Star Reviews Based on Network Structure with Deep LearningDec 11 2017In this paper, we tackle the real-world problem of predicting Yelp star-review rating based on business features (such as images, descriptions), user features (average previous ratings), and, of particular interest, network properties (which businesses ... More

Black Holes in Loop Quantum GravityMar 27 2017Sep 08 2017This is a review of the results on black hole physics in the framework of loop quantum gravity. The key feature underlying the results is the discreteness of geometric quantities at the Planck scale predicted by this approach to quantum gravity. Quantum ... More

Robotics CTF (RCTF), a playground for robot hackingOct 01 2018Robots state of insecurity is onstage. There is an emerging concern about major robot vulnerabilities and their adverse consequences. However, there is still a considerable gap between robotics and cybersecurity domains. For the purpose of filling that ... More

CO and dust properties in the TW Hya disk from high-resolution ALMA observationsJan 11 2018We analyze high angular resolution ALMA observations of the TW Hya disk to place constraints on the CO and dust properties. We present new, sensitive observations of the $^{12}$CO $J = 3-2$ line at a spatial resolution of 8 AU (0\farcs14). The CO emission ... More

The properties of the inner disk around HL Tau: Multi-wavelength modeling of the dust emissionAug 10 2017We conducted a detailed radiative transfer modeling of the dust emission from the circumstellar disk around HL Tau. The goal of our study is to derive the surface density profile of the inner disk and its structure. In addition to the Atacama Large Millimeter/submillimeter ... More

The XENON10 WIMP Search Experiment at the Gran Sasso Underground LaboratoryMar 08 2007XENON10 is a new direct dark matter detection experiment using liquid xenon as target for weakly interacting, massive particles (WIMPs). A two-phase (liquid/gas) time projection chamber with 15 kg fiducial mass has been installed in a low-background shield ... More

Underground Searches for Cold Relics of the Early UniverseMar 24 2005We have strong evidence on all cosmic scales, from galaxies to the largest structures ever observed, that there is more matter in the universe than we can see. Galaxies and clusters would fly apart unless they would be held together by material which ... More

It's a Matter of Principle. Scientific Explanation in Information-Theoretic Reconstructions of Quantum TheoryJun 13 2018The aim of this paper is to explore the ways in which Axiomatic Reconstructions of Quantum Theory in terms of Information-Theoretic principles (ARQITs) can contribute to explaining and understanding quantum phenomena, as well as to study their explanatory ... More

On the square function associated with generalized Bochner-Riesz meansOct 18 2015Oct 20 2015We consider generalized Bochner-Riesz multipliers of the form $(1-\rho(\xi))_+^{\lambda}$ where $\rho:\mathbb{R}^2\to\mathbb{R}$ belongs to a class of rough distance functions homogeneous with respect to a nonisotropic dilation group. We prove a critical ... More

The category of cellular resolutionsFeb 26 2019Apr 16 2019Cellular resolutions is a well studied topic on the level of single resolutions and certain specific families of cellular resolutions. One question coming out of the work on families is to understand the structure of cellular resolutions more generally. ... More

Comparison between 2-D and 3-D codes in dynamical simulations of gas flow in barred galaxiesOct 15 2007Context: One of the ways to determine the contribution of the dark halo to the gravitational potential of a galaxy is the study of non-circular (streaming) motions and the associated gas shocks in the bar region. These motions, determined by the potential ... More

Statistical and entanglement entropy for black holes in quantum geometryMay 28 2014Jun 04 2014We analyze the relationship between entanglement (or geometric) entropy with statistical mechanical entropy of horizon degrees of freedom when described in the framework of isolated horizons in loop quantum gravity. We show that, once the relevant degrees ... More

Hilbert Space Average Method and adiabatic quantum searchOct 08 2008Jan 19 2009We discuss some aspects related to the so-called Hilbert space Average Method, as an alternative to describe the dynamics of open quantum systems. First we present a derivation of the method which does not make use of the algebra satisfied by the operators ... More

Introduction to Loop Quantum Gravity and Spin FoamsSep 15 2004Feb 09 2005These notes are a didactic overview of the non perturbative and background independent approach to a quantum theory of gravity known as loop quantum gravity. The definition of real connection variables for general relativity, used as a starting point ... More

W mass at LEP2May 21 2003Recent studies to finalize the systematic error estimates on the measurement of the mass of the W boson at LEP2 are reviewed. Results including a new preliminary value from Aleph are updated together with the world average which is now 80.426 +- 0.034GeV/c2. ... More

The VLA Nascent Disk and Multiplicity Survey of Perseus Protostars (VANDAM). V. 18 Candidate Disks around Class 0 and I Protostars in the Perseus Molecular CloudAug 30 2018We present the full disk-fit results VANDAM survey of all Class 0 and I protostars in the Perseus molecular cloud. We have 18 new protostellar disk candidates around Class 0 and I sources, which are well described by a simple, parametrized disk model ... More

One Solution to the Mass Budget Problem for Planet Formation: Optically Thick Disks with Dust ScatteringApr 03 2019May 07 2019ALMA surveys have suggested that the dust in Class II disks may not be enough to explain the averaged solid mass in exoplanets, under the assumption that the mm disk continuum emission is optically thin. This optically thin assumption seems to be supported ... More

Dialog state tracking, a machine reading approach using a memory-enhanced neural networkJun 13 2016Jun 29 2016In an end-to-end dialog system, the aim of dialog state tracking is to accurately estimate a compact representation of the current dialog status from a sequence of noisy observations produced by the speech recognition and the natural language understanding ... More

The Preferred System of Reference ReloadedMay 26 2014Jun 02 2014According to Karl Popper assumptions are statements used to construct theories. During the construction of a theory whether the assumptions are either true or false turn out to be irrelevant in view of the fact that, actually, they gain their scientific ... More

A marvelous contribution from Michel Henon to globular cluster's study : the isochrone clusterNov 17 2014A survey of Michel Henon contributions to the study of globular cluster systems.

Vlavov and Poisson equations in the context of self-gravitating systemsFeb 20 2004We present Vlasov's equation and its association with Poisson's equation in the context of modelling self-gravitating systems such as Globular Clusters or Galaxies. We first review the classical hypotheses of the model. We continue with a presentation ... More

Equilibrium of stellar dynamical systems in the context of the Vlasov-Poisson modelJun 14 2007This short review is devoted to the problem of the equilibrium of stellar dynamical systems in the context of the Vlasov-Poisson model. In a first part we will review some classical problems posed by the application of the Vlasov-Poisson model to the ... More

Basic deformation theory of smooth formal schemesJan 18 2008We provide the main results of a deformation theory of smooth formal schemes. First we deal with the case of global lifting of smooth morphisms. We prove that the obstruction to the existence of a global lifting lies in a Ext^1 group. Then we study uniqueness ... More

Spectral data for G-Higgs bundlesJan 09 2013We develop a new geometric method of understanding principal G-Higgs bundles through their spectral data, for G a real form of a complex Lie group. In particular, we consider the case of G a split real form, as well as G = SL(2,R), U(p,p), SU(p,p), and ... More

Multipoint flux mixed finite element methods for slightly compressible flow in porous mediaNov 06 2018In this paper, we consider multipoint flux mixed finite element discretizations for slightly compressible Darcy flow in porous media. The methods are formulated on general meshes composed of triangles, quadrilaterals, tetrahedra or hexahedra. An inexact ... More

The Frölicher spectral sequence can be arbitrarily non degenerateSep 04 2007Nov 21 2013The Fr\"olicher spectral sequence of a compact complex manifold $X$ measures the difference between Dolbeault cohomology and de Rham cohomology. We construct for $n\geq 2$ nilmanifolds with left-invariant complex structure $X_n$ such that the $n$-th differential ... More

Morse theory for a fourth order elliptic equation with exponential nonlinearityNov 13 2009In this paper we compute the Leray Schauder degree for a fourth order elliptic boundary value problem with exponential nonlinearity and Navier boundary condition. This will be made by proving a Poincare'-Hopf type theorem. Moreover by using this result, ... More

Factorizations into idempotent factors of matrices over Prüfer domainsOct 01 2018A classical problem, that goes back to the 1960's, is to characterize the integral domains R satisfying the property (IDn): "every singular nxn matrix over R is a product of idempotent matrices". Significant results, which describe this property in the ... More

Homotopy in the Category of GraphsJan 06 2019We develop a theory of homotopy for graphs which is internal to the category of graphs. Previous authors have associated spaces to graphs and their homomoprhisms, and used the homotopical properties of the spaces to get graph theory results. We develop ... More

Inverse limits of Macaulay's inverse systemsMar 16 2018Feb 12 2019Generalizing a result of Masuti and the second author, we describe inverse limits of Macaulay's inverse systems for Cohen-Macaulay factor algebras of formal power series or polynomial rings over an infinite field. On the way we find a strictness result ... More

Non-existence of reflectionless measures for the s-Riesz transform when 0<s<1Feb 05 2015Apr 15 2015A measure $\mu$ on $\mathbb{R}^d$ is called reflectionless for the $s$-Riesz transform if the singular integral $R^s\mu(x)=\int \frac{y-x}{|y-x|^{s+1}}\,d\mu(y)$ is constant on the support of $\mu$ in some weak sense and, moreover, the operator defined ... More

Improved bounds for restricted families of projections to planes in $\mathbb{R}^{3}$Nov 24 2017Jul 25 2018For $e \in S^{2}$, the unit sphere in $\mathbb{R}^3$, let $\pi_{e}$ be the orthogonal projection to $e^{\perp} \subset \mathbb{R}^{3}$, and let $W \subset \mathbb{R}^{3}$ be any $2$-plane, which is not a subspace. We prove that if $K \subset \mathbb{R}^{3}$ ... More

Sharp asymptotic estimates for eigenvalues of Aharonov-Bohm operators with varying polesApr 01 2015May 28 2015We investigate the behavior of eigenvalues for a magnetic Aharonov-Bohm operator with half-integer circulation and Dirichlet boundary conditions in a planar domain. We provide sharp asymptotics for eigenvalues as the pole is moving in the interior of ... More

Resolved Multifrequency Radio Observations of GG TauApr 22 2014We present sub-arcsecond resolution observations of continuum emission associated with the GG Tau quadruple star system at wavelengths of 1.3, 2.8, 7.3, and 50 mm. These data confirm that the GG Tau A binary is encircled by a circumbinary ring at a radius ... More

The Chandra Multi-Wavelength Project: Optical Spectroscopy and the Broadband Spectral Energy Distributions of X-ray Selected AGNApr 23 2012Jun 20 2013From optical spectroscopy of X-ray sources observed as part of ChaMP, we present redshifts and classifications for a total of 1569 Chandra sources from our targeted spectroscopic follow up using the FLWO, SAAO, WIYN, CTIO, KPNO, Magellan, MMT and Gemini ... More

Quantum Accelerator Modes near Higher-Order ResonancesMay 14 2008Jul 30 2008Quantum Accelerator Modes have been experimentally observed, and theoretically explained, in the dynamics of kicked cold atoms in the presence of gravity, when the kicking period is close to a half-integer multiple of the Talbot time. We generalize the ... More

New ground state for quantum gravityJul 03 2012In this paper we conjecture the existence of a new "ground" state in quantum gravity, supplying a wave function for the inflationary Universe. We present its explicit perturbative expression in the connection representation, exhibiting the associated ... More

Polynomial basins of infinityAug 04 2009Jul 06 2011We study the projection $\pi: M_d \to B_d$ which sends an affine conjugacy class of polynomial $f: \mathbb{C}\to\mathbb{C}$ to the holomorphic conjugacy class of the restriction of $f$ to its basin of infinity. When $B_d$ is equipped with a dynamically ... More

Upper triangular matrices and operations in odd primary connective K-theoryApr 18 2012We prove analogues for odd primes of results of Snaith and Barker-Snaith. Let l denote the p-complete connective Adams summand and consider the group of left l-module automorphisms of l smash l in the stable homotopy category which induce the identity ... More

Uniqueness and Lagrangianity for solutions with lack of integrability of the continuity equationAug 15 2016Oct 12 2016We deal with the uniqueness of distributional solutions to the continuity equation with a Sobolev vector field and with the property of being a Lagrangian solution, that means transported by a flow of the associated ordinary differential equation. We ... More

Real-time public transport service-level monitoring using passive WiFi: a spectral clustering approach for train timetable estimationMar 02 2017A new area in which passive WiFi analytics have promise for delivering value is the real-time monitoring of public transport systems. One example is determining the true (as opposed to the published) timetable of a public transport system in real-time. ... More

Polar orthogonal representations of real reductive algebraic groupsJan 03 2008We prove that a polar orthogonal representation of a real reductive algebraic group has the same closed orbits as the isotropy representation of a pseudo-Riemannian symmetric space. We also develop a partial structural theory of polar orthogonal representations ... More

Representation Learning on Graphs: A Reinforcement Learning ApplicationJan 16 2019Jan 17 2019In this work, we study value function approximation in reinforcement learning (RL) problems with high dimensional state or action spaces via a generalized version of representation policy iteration (RPI). We consider the limitations of proto-value functions ... More

Signatures of paths transformed by polynomial mapsDec 14 2018We characterize the signature of piecewise continuously differentiable paths transformed by a polynomial map in terms of the signature of the original path. For this aim, we define recursively an algebra homomorphism between two shuffle algebras on words. ... More

Going deep in clustering high-dimensional data: deep mixtures of unigrams for uncovering topics in textual dataFeb 18 2019Mixtures of Unigrams (Nigam et al., 2000) are one of the simplest and most efficient tools for clustering textual data, as they assume that documents related to the same topic have similar distributions of terms, naturally described by Multinomials. When ... More

Submillimeter and Far-Infrared Polarimetric Observations of Magnetic Fields in Star-Forming RegionsApr 09 2019Observations of star-forming regions by the current and upcoming generation of submillimeter polarimeters will shed new light on the evolution of magnetic fields over the cloud-to-core size scales involved in the early stages of the star formation process. ... More

Exploring Fine-Tuned Embeddings that Model Intensifiers for Emotion AnalysisApr 05 2019Adjective phrases like "a little bit surprised", "completely shocked", or "not stunned at all" are not handled properly by currently published state-of-the-art emotion classification and intensity prediction systems which use pre-dominantly non-contextualized ... More

Sketching Word Vectors Through HashingMay 11 2017Aug 30 2018We propose a new fast word embedding technique using hash functions. The method is a derandomization of a new type of random projections: By disregarding the classic constraint used in designing random projections (i.e., preserving pairwise distances ... More

Coxeter element and particle massesDec 13 2016Let $\mathfrak{g}$ be a simple Lie algebra of rank $r$ over $\mathbb{C}$, $\mathfrak{h} \subset \mathfrak{g}$ a Cartan subalgebra. We construct a family of $r$ commuting Hermitian operators acting on $\mathfrak{h}$ whose eigenvalues are equal to the coordinates ... More

On the Equivalence of Generative and Discriminative Formulations of the Sequential Dependence ModelMay 01 2018The sequential dependence model (SDM) is a popular retrieval model which is based on the theory of probabilistic graphical models. While it was originally introduced by Metzler and Croft as a Markov Random Field (aka discriminative probabilistic model), ... More

An introduction to spectral data for Higgs bundlesAug 02 2014These notes have been prepared as reading material for the mini-course that the author gave at IMS, National University of Singapore, as part of the "Summer school on the moduli space of Higgs bundles".

The adapted hyper-Kähler structure on the crown domainNov 05 2017Let $\,\Xi\,$ be the crown domain associated with a non-compact irreducible hermitian symmetric space $\,G/K$. We give an explicit description of the unique $\,G$-invariant adapted hyper-K\"ahler structure on $\,\Xi$,$\ $i.$\,$e.$\ $compatible with the ... More

Linear relations in families of powers of elliptic curvesDec 10 2014Nov 28 2015Motivated by recent work of Masser and Zannier on simultaneous torsion on the Legendre elliptic curve $E_\lambda$ of equation $Y^2=X(X-1)(X-\lambda)$, we prove that, given $n$ linearly independent points $P_1(\lambda), ...,P_n(\lambda)$ on $E_\lambda$ ... More

Improved accuracy for time-splitting methods for the numerical solution of parabolic equationsAug 31 2016In this work, we study time-splitting strategies for the numerical approximation of evolutionary reaction-diffusion problems. In particular, we formulate a family of domain decomposition splitting methods that overcomes some typical limitations of classical ... More

Reducing quadrangulations of the sphere and the projective planeJun 24 2016Mar 13 2017We show that every quadrangulation of the sphere can be transformed into a $4$-cycle by deletions of degree-$2$ vertices and by $t$-contractions at degree-$3$ vertices. A $t$-contraction simultaneously contracts all incident edges at a vertex with stable ... More

Weyl closure of hypergeometric systemsJul 08 2007Jan 19 2009We show that A-hypergeometric systems and Horn hypergeometric systems are Weyl closed for very generic parameters.

A moving grid finite element method applied to a mechanobiochemical model for 3D cell migrationMar 22 2019This work presents the development, analysis and numerical simulations of a biophysical model for 3D cell deformation and movement, which couples biochemical reactions and biomechanical forces. We propose a mechanobiochemical model which considers the ... More

New bounds for $ψ(x)$Oct 23 2013In this article we provide new explicit Chebyshev's bounds for the prime counting function $\psi(x)$. The proof relies on two new arguments: smoothing the prime counting function which allows to generalize the previous approaches, and a new explicit zero ... More

On the inverse first-passage-time problem for a Wiener processAug 28 2009The inverse first-passage problem for a Wiener process $(W_t)_{t\ge0}$ seeks to determine a function $b{}:{}\mathbb{R}_+\to\mathbb{R}$ such that \[\tau=\inf\{t>0| W_t\ge b(t)\}\] has a given law. In this paper two methods for approximating the unknown ... More

Finite generating sets of relatively hyperbolic groups and applications to geodesic languagesFeb 12 2014Mar 17 2015Given a finitely generated relatively hyperbolic group $G$, we construct a finite generating set $X$ of $G$ such that $(G,X)$ has the `falsification by fellow traveler property' provided that the parabolic subgroups $\{H_\omega\}_{\omega\in \Omega}$ have ... More

Unlikely Intersections in families of abelian varieties and the polynomial Pell equationJan 09 2018Let S be a smooth irreducible curve defined over a number field k and consider an abelian scheme A over S and a curve C inside A, both defined over k. In previous works, we proved that when A is a fibered product of elliptic schemes, if C is not contained ... More

A note on expansion in prime fieldsJan 29 2018Let $\beta,\epsilon \in (0,1]$, and $k \geq \exp(122 \max\{1/\beta,1/\epsilon\})$. We prove that if $A,B$ are subsets of a prime field $\mathbb{Z}_{p}$, and $|B| \geq p^{\beta}$, then there exists a sum of the form $$S = a_{1}B \pm \ldots \pm a_{k}B, ... More

Topological realizations of line arrangementsJun 06 2016A venerable problem in combinatorics and geometry asks whether a given incidence relation may be realized by a configuration of points and lines. The classic version of this would ask for algebraic lines over some field or possibly real pseudolines: embedded ... More

The multidegree of the multi-image varietyJan 13 2017The multi-image variety is a subvariety of Gr(1,P^3)^n that models taking pictures with n rational cameras. We compute its cohomology class in the cohomology of Gr(1,P^3)^n, and from there its multidegree as a subvariety of (P^5)^n under the Pl\"ucker ... More

Sparse domination of Hilbert transforms along curvesApr 25 2017We obtain sharp sparse bounds for Hilbert transforms along curves in $\mathbb{R}^n$, and derive as corollaries weighted norm inequalities for such operators. The curves that we consider include monomial curves and arbitrary $C^n$ curves with nonvanishing ... More