Results for "Benjamin Lecouteux"

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Sense Vocabulary Compression through the Semantic Knowledge of WordNet for Neural Word Sense DisambiguationMay 14 2019Jul 15 2019In this article, we tackle the issue of the limited quantity of manually sense annotated corpora for the task of word sense disambiguation, by exploiting the semantic relationships between senses such as synonymy, hypernymy and hyponymy, in order to compress ... More
Automatic Quality Assessment for Speech Translation Using Joint ASR and MT FeaturesSep 20 2016This paper addresses automatic quality assessment of spoken language translation (SLT). This relatively new task is defined and formalized as a sequence labeling problem where each word in the SLT hypothesis is tagged as good or bad according to a large ... More
Sense Vocabulary Compression through the Semantic Knowledge of WordNet for Neural Word Sense DisambiguationMay 14 2019In this article, we tackle the issue of the limited quantity of manually sense annotated corpora for the task of word sense disambiguation, by exploiting the semantic relationships between senses such as synonymy, hypernymy and hyponymy, in order to compress ... More
Improving the Coverage and the Generalization Ability of Neural Word Sense Disambiguation through Hypernymy and Hyponymy RelationshipsNov 02 2018In Word Sense Disambiguation (WSD), the predominant approach generally involves a supervised system trained on sense annotated corpora. The limited quantity of such corpora however restricts the coverage and the performance of these systems. In this article, ... More
Disentangling ASR and MT Errors in Speech TranslationSep 03 2017The main aim of this paper is to investigate automatic quality assessment for spoken language translation (SLT). More precisely, we investigate SLT errors that can be due to transcription (ASR) or to translation (MT) modules. This paper investigates automatic ... More
ASR Performance Prediction on Unseen Broadcast Programs using Convolutional Neural NetworksApr 23 2018In this paper, we address a relatively new task: prediction of ASR performance on unseen broadcast programs. We first propose an heterogenous French corpus dedicated to this task. Two prediction approaches are compared: a state-of-the-art performance ... More
Analyzing Learned Representations of a Deep ASR Performance Prediction ModelAug 26 2018Aug 28 2018This paper addresses a relatively new task: prediction of ASR performance on unseen broadcast programs. In a previous paper, we presented an ASR performance prediction system using CNNs that encode both text (ASR transcript) and speech, in order to predict ... More
A bound for the splitting of smooth Fano polytopes with many verticesSep 25 2014Aug 10 2015The classification of toric Fano manifolds with large Picard number corresponds to the classification of smooth Fano polytopes with large number of vertices. A smooth Fano polytope is a polytope that contains the origin in its interior such that the vertex ... More
Quantum spin pumping with adiabatically modulated magnetic barrier'sMar 29 2003Dec 09 2003A quantum pump device involving magnetic barriers produced by the deposition of ferro magnetic stripes on hetero-structure's is investigated. The device for dc- transport does not provide spin-polarized currents, but in the adiabatic regime, when one ... More
On smooth Gorenstein polytopesMar 08 2013A Gorenstein polytope of index r is a lattice polytope whose r-th dilate is a reflexive polytope. These objects are of interest in combinatorial commutative algebra and enumerative combinatorics, and play a crucial role in Batyrev's and Borisov's computation ... More
Path-by-path well-posedness of nonlinear diffusion equations with multiplicative noiseJul 11 2018We prove the path-by-path well-posedness of stochastic porous media and fast diffusion equations driven by linear, multiplicative noise. As a consequence, we obtain the existence of a random dynamical system. This solves an open problem raised in [Barbu, ... More
Games and Meta-Games: Pricing Rules for Combinatorial MechanismsMar 20 2015In settings where full incentive-compatibility is not available, such as core-constraint combinatorial auctions and budget-balanced combinatorial exchanges, we may wish to design mechanisms that are as incentive-compatible as possible. This paper offers ... More
Homogenization of Hamilton-Jacobi equations with rough time dependenceFeb 16 2016We consider viscosity solutions of Hamilton-Jacobi equations with oscillatory spatial dependence and rough time dependence. The time dependence is in the form of the derivative of a continuous path that converges to a possibly nowhere-differentiable path, ... More
A simple proof of Brown's diagonalizability theoremOct 04 2010We present here a simple proof of Brown's diagonalizability theorem for certain elements of the algebra of a left regular band, including probability measures.
Yet another solution to the Burnside problem for matrix semigroupsNov 16 2008We use the kernel category to give a finiteness condition for semigroups. As a consequence we provide yet another proof that finitely generated periodic semigroups of matrices are finite.
Bipartite Euler systemsFeb 28 2012If E is an elliptic curve over Q and K is an imaginary quadratic field, there is an Iwasawa main conjecture predicting the behavior of the Selmer group of E over the anticyclotomic Z_p-extension of K. The main conjecture takes different forms depending ... More
Special cohomology classes for modular Galois representationsFeb 28 2012Building on ideas of Vatsal, Cornut proved a conjecture of Mazur asserting the generic nonvanishing of Heegner points on an elliptic curve E as one ascends the anticyclotomic Z_p-extension of a quadratic imaginary extension K/Q. In the present article ... More
Opportunities with top quarks at future circular collidersDec 04 2014We describe various studies relevant for top physics at future circular collider projects currently under discussion. We show how highly-massive top-antitop systems produced in proton-proton collisions at a center-of-mass energy of 100 TeV could be observed ... More
Beyond the Minimal Supersymmetric Standard Model: from theory to phenomenologyFeb 21 2012Thanks to the latest development in the field of Monte Carlo event generators and satellite programs allowing for a straightforward implementation of any beyond the Standard Model theory in those tools, studying the property of any softly-broken supersymmetric ... More
Transverse-momentum, threshold and joint resummations for slepton pair production at hadron collidersOct 10 2007We present precision calculations of the transverse-momentum spectrum and the invariant-mass distribution for slepton pair production at hadron colliders. We implement the transverse-momentum, threshold and joint resummation formalisms at the next-to-leading ... More
Slepton pair production at hadron collidersOct 24 2006In R-parity conserving supersymmetric models, sleptons are produced in pairs at hadron colliders. We show that measurements of the longitudinal single-spin asymmetry at possible polarization upgrades of existing colliders allow for a direct extraction ... More
Twisted derived equivalences for affine schemesNov 11 2013We show how work of Rickard and To\"en completely resolves the question of when two twisted affine schemes are derived equivalent.
On the integral Tate conjecture for finite fields and representation theoryApr 19 2015May 28 2015We describe a new source of counterexamples to the so-called integral Hodge and integral Tate conjectures. As in the other known counterexamples to the integral Tate conjecture over finite fields, ours are approximations of the classifying space of some ... More
Jet Charge with the ATLAS Detector using $\sqrt{s}=8$ TeV $pp$ Collision DataSep 01 2014The momentum-weighted sum of the charges of tracks associated to a jet provides an experimental handle on the electric charge of fundamental strongly-interacting particles. An overview of a study of this jet charge observable for jets produced in dijet ... More
Summary of progress on the Blaschke conjectureSep 05 2013Aug 03 2015The Blaschke conjecture claims that every compact Riemannian manifold whose injectivity radius equals its diameter is, up to constant rescaling, a compact rank one symmetric space. We summarize the intuition behind this problem, the proof that such manifolds ... More
Analogues elliptiques des nombres multizétasJan 14 2013Jan 12 2015We study functions of an elliptic parameter, which are defined as iterated integrals of elliptic functions. We establish their relation with the "elliptic associators" of our previous work, by means of a functional realization of Lie algebras appearing ... More
Holomorphic Cartan geometries on uniruled surfacesMay 24 2011We classify holomorphic Cartan geometries on every compact complex curve, and on every compact complex surface which contains a rational curve.
Computing Hybridization Networks for Multiple Rooted Binary Phylogenetic Trees by Maximum Acyclic Agreement ForestsAug 13 2014Dec 17 2015It is a known fact that, given two rooted binary phylogenetic trees, the concept of maximum acyclic agreement forests is sufficient to compute hybridization networks with minimum hybridization number. In this work, we demonstrate by first presenting an ... More
Einstein-aether as a quantum effective field theoryMay 14 2009The possibility that Lorentz symmetry is violated in gravitational processes is relatively unconstrained by experiment, in stark contrast with the level of accuracy to which Lorentz symmetry has been confirmed in the matter sector. One model of Lorentz ... More
(2+3) dimensional geometrical dual of the complex Klein-Gordon equationJan 30 2008Jan 22 2009In this paper it is shown that an equivalent to the complex Klein-Gordon equation can be obtained from the (2+3) dimensional Einstein equations coupled to a conserved energy momentum tensor. In an explicit toy model we give matching conditions for what ... More
The flux-tube model of particle creation in nuclear collisionsJul 08 1999I review some of the history of the flux-tube model, concentrating on work done by the Los Alamos-Tel Aviv collaboration on particle creation and back-reaction in uniform fields and in the central rapidity region. I discuss the incorporation of more realistic ... More
Tangent Lie algebra of derived Artin stacksDec 11 2013Jun 21 2016Since the work of Mikhail Kapranov in [Kap], it is known that the shifted tangent complex $\mathbb{T}_X[-1]$ of a smooth algebraic variety $X$ is endowed with a weak Lie structure. Moreover any complex of quasi-coherent sheaves on $X$ is endowed with ... More
New method for studying steady states in quantum impurity problems: The interacting resonant level modelMar 09 2007Aug 31 2007We develop a new perturbative method for studying any steady states of quantum impurities, in or out of equilibrium. We show that steady-state averages are completely fixed by basic properties of the steady-state (Hershfield's) density matrix along with ... More
Hypotrochoids in conformal restriction systems and Virasoro descendantsSep 21 2012A conformal restriction system is a commutative, associative, unital algebra equipped with a representation of the groupoid of univalent conformal maps on connected open sets of the Riemann sphere, and a family of linear functionals on subalgebras, satisfying ... More
Finite-Temperature Form Factors: a ReviewNov 06 2006Jan 11 2007We review the concept of finite-temperature form factor that was introduced recently by the author in the context of the Majorana theory. Finite-temperature form factors can be used to obtain spectral decompositions of finite-temperature correlation functions ... More
Finite-temperature form factors in the free Majorana theoryJun 14 2005Dec 14 2005We study the large distance expansion of correlation functions in the free massive Majorana theory at finite temperature, alias the Ising field theory at zero magnetic field on a cylinder. We develop a method that mimics the spectral decomposition, or ... More
Predicting the variance of a measurement with 1/f noiseMay 17 2013Measurement devices always add noise to the signal of interest and it is necessary to evaluate the variance of the results. This article focuses on stationary random processes whose Power Spectrum Density is a power law of frequency. For flicker noise, ... More
The Average Sensitivity of Bounded-Depth FormulasAug 31 2015We show that unbounded fan-in boolean formulas of depth $d+1$ and size $s$ have average sensitivity $O(\frac{1}{d}\log s)^d$. In particular, this gives a tight $2^{\Omega(d(n^{1/d}-1))}$ lower bound on the size of depth $d+1$ formulas computing the \textsc{parity} ... More
Ising and Gross-Neveu model in next-to-leading orderSep 13 2016We study scalar and chiral fermionic models in next-to-leading order with the help of the functional renormalisation group. Their critical behaviour is of special interest in condensed matter systems, in particular graphene. To derive the beta functions, ... More
Entwicklung eines Gasmoderators für PositronenAug 23 2016(Translated Title: Development of a positron gas moderator) In this work a positron moderator that is based on inelastic positron scattering in nitrogen gas has been developed and set-up. A positron beam enters a gas cell through a small aperture. In ... More
Global model structures for $*$-modulesJul 01 2016We extend Schwede's work on the unstable global homotopy theory of orthogonal spaces and $\mathcal{L}$-spaces to the category of $*$-modules (i.e., unstable $S$-modules). We prove a theorem which transports model structures and their properties from $\mathcal{L}$-spaces ... More
Random Matrices, Boundaries and BranesMar 03 2016This thesis is devoted to the application of random matrix theory to the study of random surfaces, both discrete and continuous; special emphasis is placed on surface boundaries and the associated boundary conditions in this formalism. In particular, ... More
Computing a Relevant Set of Nonbinary Maximum Acyclic Agreement ForestsDec 17 2015There exist several methods dealing with the reconstruction of rooted phylogenetic networks explaining different evolutionary histories given by rooted binary phylogenetic trees. In practice, however, due to insufficient information of the underlying ... More
Introduction to Network Games with Linear Best ResponsesJun 02 2018This note, suitable for a lecture in an advanced undergraduate or basic graduate course on the economic theory of networks, exposits basic ideas of linear best-response games and their equilibria.
Note on Monopole Operators in Chern-Simons-Matter TheoriesNov 27 2018Monopole operators in Chern-Simons theories with charged matter have been studied using the state-operator map in CFTs, as states on $\mathbb{R}\times S^2$ with background magnetic flux on $S^2$. Gauge invariance requires a dressing with matter modes ... More
Cornering top-philic dark matter with colliders and cosmology: the importance of QCD correctionsMar 06 2019Constraining dark matter models necessitates accurate predictions for large set of observables originating from collider physics, cosmology and astrophysics. We consider two classes of top-philic dark matter models where the dark sector is coupled to ... More
A Primer on PAC-Bayesian LearningJan 16 2019Generalized Bayesian learning algorithms are increasingly popular in machine learning, due to their PAC generalization properties and flexibility. The present paper aims at providing a self-contained survey on the resulting PAC-Bayes framework and some ... More
Determination of all rational preperiodic points for morphisms of PNOct 23 2012Jul 03 2013For a morphism $f:\P^N \to \P^N$, the points whose forward orbit by $f$ is finite are called preperiodic points for $f$. This article presents an algorithm to effectively determine all the rational preperiodic points for $f$ defined over a given number ... More
A Primer on PAC-Bayesian LearningJan 16 2019Apr 20 2019Generalised Bayesian learning algorithms are increasingly popular in machine learning, due to their PAC generalisation properties and flexibility. The present paper aims at providing a self-contained survey on the resulting PAC-Bayes framework and some ... More
Overview: Sides of the Unitarity TriangleJun 28 2007This is an opening talk for the workshop and is intended to be provocative. We take a stab at the following questions: How well do we really know the sides of the unitarity triangle? What else could we do to improve? (I propose several new measurements). ... More
CKM Sides: TheoryDec 30 2004We review the theory of the determination of the CKM elements Vcb and Vub. Particular attention is paid to the determination of Vcb through inclusive semileptonic B decays to charm using a moment analysis, since this has shown most progress recently. ... More
A Modern Introduction to Quarkonium TheoryNov 06 1998Feb 15 1999Recent advances in lattice and continuum QCD have given us new insights into quarkonium physics. These set of lectures are intend for the uninitiated. We first give a physical picture of quarkonium and describe the hybrids states established in lattice ... More
An Introduction To The Theory Of Heavy Mesons And BaryonsNov 11 1994Dec 14 2016Introductory lectures (delivered at TASI, June 1994) on heavy quarks and heavy quark effective field theory. Applications to inclusive semileptonic decays and to interactions with light mesons are covered in detail.
Generalised hydrodynamics of the classical Toda systemFeb 20 2019We obtain the exact generalised hydrodynamics for the integrable Toda system. The Toda system can be seen in a dual way, both as a gas and as a chain. In the gas point of view, using the elastic and factorised scattering of Toda particles, we obtain the ... More
Linear invariance of intersections on unitary Rapoport-Zink spacesNov 05 2018We prove an invariance property of intersections of Kudla-Rapoport divisors on a unitary Rapoport-Zink space.
How to detect a genuine quantum pump effect in graphene?Apr 30 2013Jul 10 2013Quantum pumping in graphene has been predicted in recent years. Till date there have been no experiments indicating a graphene based quantum pump. This is not uncommon as in case of other non-Dirac behavior showing materials it has not yet been unambiguously ... More
Can dephasing generate non-local spin correlations?Oct 24 2011Jan 07 2012By examining the full counting statistics of a non adiabatic pure spin pump with particular emphasis on the second and third moments, it is shown that incoherent or sequential transport, in contrast to coherent transport, can change non-local spin shot ... More
Incoherence induced sign change in noise cross-correlations: A case study in the full counting statistics of a pure spin pumpAug 27 2008Oct 12 2009The full counting statistics of a non adiabatic pure spin pump are calculated with particular emphasis on the second and third moments. We show that incoherence can change the sign of spin shot noise cross-correlations from negative to positive, implying ... More
Measurement of radiative tau decays at BaBarJul 08 2013We present a study for the measurement of of radiative decays, tau -> l gamma nu nu, l=e, mu, and tau -> pi gamma nu using 500 fb-1 of electron-positron annihilations recorded by the BaBar detector at the PEP-II asymmetric B-factory.
SO(2)-congruent projections of convex bodies with rotation about the originSep 27 2013We prove that if two convex bodies $ K, L \subset \mathbb{R}^3$ satisfy the property that the orthogonal projections of $K$ and $L$ onto every plane containing the origin are roations of each other, then either $K$ and $L$ coincide or $L$ is the image ... More
The Brownian Frame Process as a Rough PathFeb 01 2006We introduce the (path-valued) Brownian frame process whose evaluation at time t is the sample path of the underlying Brownian motion run from time t-1 to t. Due to its connections with Gaussian Volterra processes and SDDEs this is an interesting object ... More
Towards a Paraconsistent Quantum Set TheoryNov 05 2015In this paper, we will attempt to establish a connection between quantum set theory, as developed by Ozawa, Takeuti and Titani, and topos quantum theory, as developed by Isham, Butterfield and Doring, amongst others. Towards this end, we will study algebraic ... More
Ring Relations and Mirror Map from BranesJan 30 2017Mar 27 2017We study the space of vacua of three-dimensional $\mathcal{N}=4$ theories from a novel approach building on the type IIB brane realization of the theory and in which the insertion of local chiral operators in the path integral is obtained from integrating ... More
Lorentz symmetry is relevantOct 18 2018We set up a covariant renormalisation group equation on a foliated spacetime which preserves background diffeomorphism symmetry. As a first application of the new formalism, we study the effect of quantum fluctuations in Lorentz symmetry breaking theories ... More
Cosmological Probes of Light RelicsOct 05 2018One of the primary targets of current and future cosmological observations are light thermal relics of the hot big bang. Within the Standard Model of particle physics, an important thermal relic are cosmic neutrinos, while interesting extensions predict ... More
A solution to one of Knuth's permutation problemsApr 23 2010We answer a problem posed recently by Knuth: an n-dimensional box, with edges lying on the positive coordinate axes and generic edge lengths W_1 < W_2 < ... < W_n, is dissected into n! pieces along the planes x_i = x_j. We describe which pieces have the ... More
Particle Flow and PUPPI in the Level-1 Trigger at CMS for the HL-LHCAug 06 2018With the planned addition of tracking information to the Compact Muon Solenoid (CMS) Level-1 trigger for the High-Luminosity Large Hadron Collider (HL-LHC), the trigger algorithms can be completely reconceptualized. We explore the feasibility of using ... More
Sending quantum entanglement through noisy channelsApr 22 1996This paper addresses some general questions of quantum information theory arising from the transmission of quantum entanglement through (possibly noisy) quantum channels. A pure entangled state is prepared of a pair of systems $R$ and $Q$, after which ... More
Higher generating subgroups and Cohen-Macaulay complexesJan 14 2019Jan 31 2019We show how to find higher generating families of subgroups, in the sense of Abels and Holz, for groups acting on Cohen-Macaulay complexes. We apply this to groups with a BN-pair to prove higher generation by parabolic and Levi-subgroups and describe ... More
Polyfold Regularization of Constrained Moduli SpacesJul 01 2018We introduce tame sc-Fredholm sections and slices of sc-Fredholm sections. A slice is a notion of subpolyfold that is compatible with the sc-Fredholm section and has finite locally constant codimension. We prove that a sc-Fredholm section restricted to ... More
Review of Nelson's analysis of Bell's theoremFeb 18 2013Sep 29 2014This article contains a review of Nelson's analysis of Bell's theorem. It shows that Bell's inequalities can be violated with a theory of local random variables if one accepts that the outcomes of these variables are not predetermined prior to measurement. ... More
Review on the quantization of gravitySep 29 2014This is a review article on quantum gravity. In section 1, the Penrose singularity theorem is proven. In section 2, the covariant quantization approach of gravity is reviewed. In section 3, an article by Hawking is reviewed that shows the gravitational ... More
Qualitative Analysis of a Reaction-Diffusion System with cubic NonlinearityMar 13 2019The aim of this article is to provide some insights in the qualitative analysis of a two dimensional nonlinear reaction-diffusion system. This system can be seen, in some aspects, as a toy model of the FitzHugh-Nagumo model arising in Neuroscience context. ... More
Global well-posedness and scattering for the radial, defocusing, cubic nonlinear wave equationSep 21 2018In this paper we prove global well-posedness and scattering for the defocusing, cubic, nonlinear wave equation on $\mathbf{R}^{1 + 3}$ with radial initial data lying in the critical Sobolev space $\dot{H}^{1/2}(\mathbf{R}^{3}) \times \dot{H}^{-1/2}(\mathbf{R}^{3})$. ... More
Optimal prediction in molecular dynamicsAug 22 2008Optimal prediction approximates the average solution of a large system of ordinary differential equations by a smaller system. We present how optimal prediction can be applied to a typical problem in the field of molecular dynamics, in order to reduce ... More
Lattice polytopes having h^*-polynomials with given degree and linear coefficientMay 08 2007Nov 29 2007The h^*-polynomial of a lattice polytope is the numerator of the generating function of the Ehrhart polynomial. Let P be a lattice polytope with h^*-polynomial of degree d and with linear coefficient h^*_1. We show that P has to be a lattice pyramid over ... More
Volume and lattice points of reflexive simplicesDec 23 2004Jan 15 2007We prove sharp upper bounds on the volume and the number of lattice points on edges of higher-dimensional reflexive simplices. These convex-geometric results are derived from new number-theoretic bounds on the denominators of unit fractions summing up ... More
Multiplicativity of the idempotent splittings of the Burnside ring and the G-sphere spectrumFeb 06 2018Mar 04 2019We provide a complete characterization of the equivariant commutative ring structures of all the factors in the idempotent splitting of the G-equivariant sphere spectrum, including their Hill-Hopkins-Ravenel norms, where G is any finite group. Our results ... More
The Hartogs extension phenomenon for holomorphic parabolic and reductive geometriesFeb 23 2013Jul 25 2016Every holomorphic effective parabolic or reductive geometry on a domain over a Stein manifold extends uniquely to the envelope of holomorphy of the domain. This result completes the open problems of my earlier paper on extension of holomorphic geometric ... More
Self-similar growth-fragmentations as scaling limits of Markov branching processesNov 17 2017We provide explicit conditions, in terms of the transition kernel of its driving particle, for a Markov branching process to admit a scaling limit toward a self-similar growth-fragmentation with negative index. We also derive a scaling limit for the genealogical ... More
Tau decays and dark-sector searches at BaBarApr 04 2019We present some recent measurements performed using 514 fb-1 of $e^+e^-$ collisions collected with the BaBar detector at the PEP-II asymmetric collider at SLAC. First we present a study of the decay tau -> K K_S nu, we measure the branching fraction B(tau ... More
The correlation constant of a fieldApr 09 2018We study the correlation of edges, vectors or elements to be in a randomly chosen spanning tree or a basis, respectively. Here we follow the guideline of Huh and Wang and introduce as a measure an invariant that is called the correlation constant of a ... More
Asymptotics of self-similar growth-fragmentation processesJun 02 2016Markovian growth-fragmentation processes introduced by Bertoin extend the pure fragmentation model by allowing the fragments to grow larger or smaller between dislocation events. What becomes of the known asymptotic behaviors of self-similar pure fragmentations ... More
On the Burnside-Brauer-Steinberg theoremSep 26 2014Oct 04 2014A well-known theorem of Burnside says that if $\rho$ is a faithful representation of a finite group $G$ over a field of characteristic $0$, then every irreducible representation of $G$ appears as a constituent of a tensor power of $\rho$. In 1962, R. ... More
A contraction of the principal series by Berezin-Weyl quantizationJan 21 2014We study a contraction of the principal series representations of a noncompact semisimple Lie group to the unitary irreducible representations of its Cartan motion group by means of the Berezin-Weyl quantization on the coadjoint orbits associated with ... More
Global well-posedness and scattering for the defocusing, $L^{2}$-critical, nonlinear Schr{ö}dinger equation when $d = 2$Jun 07 2010Jul 27 2016In this paper we prove that the defocusing, cubic nonlinear Schr{\"o}dinger initial value problem is globally well-posed and scattering for $u_{0} \in L^{2}(\mathbf{R}^{2})$. To do this, we will prove a frequency localized interaction Morawetz estimate ... More
Global well-posedness for the defocusing, cubic, nonlinear Schrodinger equation when n = 3 via a linear-nonlinear decompositionOct 12 2009Oct 14 2011In this paper, we prove global well-posedness and scattering for the defocusing, cubic nonlinear Schr{\"o}dinger equation in three dimensions when $n = 3$ when $u_{0} \in H^{s}(\mathbf{R}^{3})$, $s > 3/4$. To this end, we utilize a linear-nonlinear decomposition, ... More
Bilinear Strichartz estimates for the Schr{ö}dinger map problemOct 18 2012Oct 22 2012In this paper we prove bilinear Strichartz estimates for a solution to the Schr{\"o}dinger map problem whose size is small in the critical Strichartz space $| |\nabla|^{\frac{d - 2}{2}} \psi_{x} |_{L_{t,x}^{\frac{2(d + 2)}{d}}}$. These estimates will ... More
On the Birational Geometry of Schubert VarietiesAug 27 2012Mar 05 2015We classify all Q-factorializations of (co)minuscule Schubert varieties by using their Mori dream space structure. As a corollary we obtain a description of all IH-small resolutions of (co)minuscule Schubert varieties generalizing results of Perrin. We ... More
Microfabrication of Laser-Driven Accelerator StructuresApr 25 2003We discuss the potential for using microfabrication techniques for laser-driven accelerator construction. We introduce microfabrication processes in general, and then describe our investigation of a particular trial process. We conclude by considering ... More
Fractional Max-PoolingDec 18 2014May 12 2015Convolutional networks almost always incorporate some form of spatial pooling, and very often it is alpha times alpha max-pooling with alpha=2. Max-pooling act on the hidden layers of the network, reducing their size by an integer multiplicative factor ... More
Scheduling to Approximate Minimization Objectives on Identical MachinesApr 21 2019This paper considers scheduling on identical machines. The scheduling objective considered in this paper generalizes most scheduling minimization problems. In the problem, there are $n$ jobs and each job $j$ is associated with a monotonically increasing ... More
Coverings of Configurations, Prime Configurations, and OrbiconfigurationsApr 02 2019May 16 2019This exploratory paper considers the notion of a covering of a configuration. We consider prime configurations, those which cannot cover other configurations, before considering orbiconfigurations. These are a generalized notion of a configuration in ... More
Rotating AdS Einstein universes from constrained metricsMar 30 2019The imposition of a constraint between the metric tensor elements in both three- and four-dimensional, rotating AdS space-times is shown to reduce the number of independent equations of motion and to result in new families of solutions to the equations ... More
Quasi-automatic groups are asynchronously automaticJun 04 2019A quasi-automatic semigroup is a finitely generated semigroup with a rational set of representatives such that the graph of right multiplication by any generator is a rational relation. A asynchronously automatic semigroup is a quasi-automatic semigroup ... More
Advances in the Treatment of Trimmed CAD Models due to Isogeometric AnalysisJan 31 2019Trimming is a core technique in geometric modeling. Unfortunately, the resulting objects do not take the requirements of numerical simulations into account and yield various problems. This paper outlines principal issues of trimmed models and highlights ... More
Note on Monopole Operators in Chern-Simons-Matter TheoriesNov 27 2018Mar 09 2019Monopole operators in Chern-Simons theories with charged matter have been studied using the state-operator map in CFTs, as states on $\mathbb{R}\times S^2$ with background magnetic flux on $S^2$. Gauge invariance requires a dressing with matter modes ... More
An Exponential Lower Bound for the Runtime of the cGA on Jump FunctionsApr 17 2019Jun 25 2019In the first runtime analysis of an estimation-of-distribution algorithm (EDA) on the multi-modal jump function class, Hasen\"ohrl and Sutton (GECCO 2018) proved that the runtime of the compact genetic algorithm with suitable parameter choice on jump ... More
Cornering top-philic dark matter with colliders and cosmology: the importance of QCD correctionsMar 06 2019Mar 29 2019Constraining dark matter models necessitates accurate predictions for large set of observables originating from collider physics, cosmology and astrophysics. We consider two classes of top-philic dark matter models where the dark sector is coupled to ... More
On a theorem of Hazrat and HooblerApr 05 2011We use cycle complexes with coefficients in an Azumaya algebra, as developed by Kahn and Levine, to compare the G-theory of an Azumaya algebra to the G-theory of the base scheme. We obtain a sharper version of a theorem of Hazrat and Hoobler in certain ... More