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PWOC-3D: Deep Occlusion-Aware End-to-End Scene Flow EstimationApr 12 2019In the last few years, convolutional neural networks (CNNs) have demonstrated increasing success at learning many computer vision tasks including dense estimation problems such as optical flow and stereo matching. However, the joint prediction of these ... More

Numerical simulation of artificial microswimmers driven by Marangoni flowFeb 11 2017Mar 07 2017In the present paper the behavior of a single artificial microswimmer is addressed, namely an active droplet moving by Marangoni flow. The non-uniform surface tension distribution underlying the propulsion mechanism of the droplet, is generated by a non-uniform ... More

Holographic thermalization patternsMar 11 2014We investigate the behaviour of various correlators in N=4 super Yang Mills theory, taking finite coupling corrections into account. In the thermal limit we investigate the flow of the quasinormal modes as a function of the 't Hooft coupling. Then by ... More

Flow Fields: Dense Correspondence Fields for Highly Accurate Large Displacement Optical Flow EstimationAug 21 2015Oct 20 2015Modern large displacement optical flow algorithms usually use an initialization by either sparse descriptor matching techniques or dense approximate nearest neighbor fields. While the latter have the advantage of being dense, they have the major disadvantage ... More

Learning Quadrangulated Patches For 3D Shape ProcessingMar 25 2019We propose a system for surface completion and inpainting of 3D shapes using generative models, learnt on local patches. Our method uses a novel encoding of height map based local patches parameterized using 3D mesh quadrangulation of the low resolution ... More

CNN-based Patch Matching for Optical Flow with Thresholded Hinge LossJul 27 2016Nov 18 2016Learning based approaches have not yet achieved their full potential in optical flow estimation, where their performance still trails heuristic approaches. In this paper, we present an optical flow pipeline that uses patch matching with CNN trained features ... More

Structured 2D Representation of 3D Data for Shape ProcessingMar 25 2019We represent 3D shape by structured 2D representations of fixed length making it feasible to apply well investigated 2D convolutional neural networks (CNN) for both discriminative and geometric tasks on 3D shapes. We first provide a general introduction ... More

Dense Scene Flow from Stereo Disparity and Optical FlowAug 30 2018Scene flow describes 3D motion in a 3D scene. It can either be modeled as a single task, or it can be reconstructed from the auxiliary tasks of stereo depth and optical flow estimation. While the second method can achieve real-time performance by using ... More

CNN based Patch Matching for Optical Flow with Thresholded Hinge LossJul 27 2016Learning based approaches have not yet achieved their full potential in optical flow estimation, where their performance still trails heuristic approaches. In this paper, we present a novel optical flow pipeline that uses patch-matching with CNN trained ... More

Impact of microphysics on the growth of one-dimensional breath figuresFeb 02 2015Oct 02 2015Droplet patterns condensing on solid substrates (breath figures) tend to evolve into a self-similar regime, characterized by a bimodal droplet size distribution. The distributions comprise a bell-shaped peak of monodisperse large droplets, and a broad ... More

Holographic thermalization in N=4 Super Yang-Mills theory at finite couplingJul 10 2013Oct 14 2013We investigate the behavior of energy momentum tensor correlators in holographic $\mathcal{N}=4$ super Yang-Mills plasma, taking finite coupling corrections into account. In the thermal limit we determine the flow of quasinormal modes as a function of ... More

Combining Stereo Disparity and Optical Flow for Basic Scene FlowJan 15 2018Scene flow is a description of real world motion in 3D that contains more information than optical flow. Because of its complexity there exists no applicable variant for real-time scene flow estimation in an automotive or commercial vehicle context that ... More

FlowFields++: Accurate Optical Flow Correspondences Meet Robust InterpolationMay 09 2018Optical Flow algorithms are of high importance for many applications. Recently, the Flow Field algorithm and its modifications have shown remarkable results, as they have been evaluated with top accuracy on different data sets. In our analysis of the ... More

SDC - Stacked Dilated Convolution: A Unified Descriptor Network for Dense Matching TasksApr 05 2019Dense pixel matching is important for many computer vision tasks such as disparity and flow estimation. We present a robust, unified descriptor network that considers a large context region with high spatial variance. Our network has a very large receptive ... More

SceneFlowFields++: Multi-frame Matching, Visibility Prediction, and Robust Interpolation for Scene Flow EstimationFeb 26 2019State-of-the-art scene flow algorithms pursue the conflicting targets of accuracy, run time, and robustness. With the successful concept of pixel-wise matching and sparse-to-dense interpolation, we push the limits of scene flow estimation. Avoiding strong ... More

An Empirical Evaluation Study on the Training of SDC Features for Dense Pixel MatchingApr 12 2019Training a deep neural network is a non-trivial task. Not only the tuning of hyperparameters, but also the gathering and selection of training data, the design of the loss function, and the construction of training schedules is important to get the most ... More

SceneFlowFields: Dense Interpolation of Sparse Scene Flow CorrespondencesOct 27 2017While most scene flow methods use either variational optimization or a strong rigid motion assumption, we show for the first time that scene flow can also be estimated by dense interpolation of sparse matches. To this end, we find sparse matches across ... More

Stability analysis for a thermodynamically consistent model of relativistic fluid dynamicsSep 12 2018The search for thermodynamic admissibility moreover reveals a fundamental difference between liquids and gases in relativistic fluid dynamics, as the reversible convection mechanism is much simpler for liquids than for gases. In relativistic fluid mechanics, ... More

DeepHPS: End-to-end Estimation of 3D Hand Pose and Shape by Learning from Synthetic DepthAug 28 2018Articulated hand pose and shape estimation is an important problem for vision-based applications such as augmented reality and animation. In contrast to the existing methods which optimize only for joint positions, we propose a fully supervised deep network ... More

Evolution of holographic entanglement entropy in an anisotropic systemJun 08 2015Jun 19 2015We determine holographically 2-point correlators of gauge invariant operators with large conformal weights and entanglement entropy of strips for a time-dependent anisotropic 5-dimensional asymptotically anti-de Sitter spacetime. At the early stage of ... More

Quantifying impacts of short-term plasticity on neuronal information transferApr 15 2012Short-term changes in efficacy have been postulated to enhance the ability of synapses to transmit information between neurons, and within neuronal networks. Even at the level of connections between single neurons, direct confirmation of this simple conjecture ... More

Holographic chiral currents in a magnetic fieldJul 15 2010In the presence of a quark chemical potential, a magnetic field induces an axial current in the direction of the magnetic field. We compute this current in the Sakai-Sugimoto model, a holographic model which, in a certain limit, is dual to large-N_c QCD. ... More

Multiframe Scene Flow with Piecewise Rigid MotionOct 05 2017We introduce a novel multiframe scene flow approach that jointly optimizes the consistency of the patch appearances and their local rigid motions from RGB-D image sequences. In contrast to the competing methods, we take advantage of an oversegmentation ... More

Automated Scene Flow Data Generation for Training and VerificationAug 30 2018Aug 31 2018Scene flow describes the 3D position as well as the 3D motion of each pixel in an image. Such algorithms are the basis for many state-of-the-art autonomous or automated driving functions. For verification and training large amounts of ground truth data ... More

Affordances and Safe Design of Assistance Wearable Virtual Environment of GestureDec 23 2015Safety and reliability are the main issues for designing assistance wearable virtual environment of technical gesture in aerospace, or health application domains. That needs the integration in the same isomorphic engineering framework of human requirements, ... More

On Cayley graphs of algebraic structuresMar 22 2018We present simple graph-theoretic characterizations of Cayley graphs for left-cancellative monoids, groups, left-quasigroups and quasigroups. We show that these characterizations are effective for the end-regular graphs of finite degree.

On the Cauchy problem for higher-order nonlinear dispersive equationsAug 27 2007We study a class of higher-order KdV equations. We show that the associated initial value problem is well posed in weighted Besov and Sobolev spaces for small initial data. We also prove ill-posedness results when in H^s(\R), for any real s.

On convexity of the frequency response of a stable polynomialSep 07 2007In the complex plane, the frequency response of a univariate polynomial is the set of values taken by the polynomial when evaluated along the imaginary axis. This is an algebraic curve partitioning the plane into several connected components. In this ... More

Efficient resolution of the Colebrook equationOct 30 2008A robust, fast and accurate method for solving the Colebrook-like equations is presented. The algorithm is efficient for the whole range of parameters involved in the Colebrook equation. The computations are not more demanding than simplified approximations, ... More

XTRA: The fast X-ray timing detector on XEUSJan 08 2004The Rossi X-ray Timing Explorer (RXTE) has demonstrated that the dynamical variation of the X-ray emission from accreting neutron stars and stellar mass black holes is a powerful probe of their strong gravitational fields. At the same time, the X-ray ... More

Homogenizing metamaterials, three timesNov 08 2012The homogenization of a metamaterial made of a collection of scatterers periodically disposed is studied from three different points of view. Specifically tools for multiple scattering theory, functional analysis, differential geometry and optimization ... More

Soft lags in neutron star kHz Quasi Periodic Oscillations: evidence for reverberation?Mar 04 2013Apr 20 2013High frequency soft reverberation lags have now been detected from stellar mass and super massive black holes. Their interpretation involves reflection of a hard source of photons onto an accretion disk, producing a delayed reflected emission, with a ... More

A quantum way for metamaterialsMar 07 2011Mar 09 2011A new future for metamaterials is suggested, involving the insertion of quantum degrees of freedom, under the guise of quantum dots or cold atoms, in an photonic matrix. It is argued that new emergent, quantum, properties could be obtained.

On the Herman-Kluk Semiclassical ApproximationAug 06 2009For a subquadratic symbol $H$ on $\R^d\times\R^d = T^*(\R^d)$, the quantum propagator of the time dependent Schr\"odinger equation $i\hbar\frac{\partial\psi}{\partial t} = \hat H\psi$ is a Semiclassical Fourier-Integral Operator when $\hat H=H(x,\hbar ... More

Envelope equation for the linear and nonlinear propagation of an electron plasma wave, including the effects of Landau damping, trapping, plasma inhomogeneity, and the change in the state of waveJul 20 2016Sep 13 2016This paper addresses the linear and nonlinear three-dimensional propagation of an electron wave in a collisionless plasma that may be inhomogeneous, nonstationary, anisotropic and even weakly magnetized. The wave amplitude, together with any hydrodynamic ... More

Non linear eigenvalue problemsDec 06 2004In this paper we consider generalized eigenvalue problems for a family of operators with a polynomial dependence on a complex parameter. This problem is equivalent to a genuine non self-adjoint operator. We discuss here existence of non trivial eigenstates ... More

ECLAIRs: A microsatellite to observe the prompt optical and X-ray emission of Gamma-Ray BurstsMay 21 2002ECLAIRs is a French microsatellite devoted to the observation of the prompt optical and X-ray emission of GRBs. For about 100 GRBs/yr, independent of their duration, ECLAIRs will provide high time resolution high sensitivity spectral coverage from a few ... More

Poles and zeros of the scattering matrix associated to defect modesMar 08 2000We analyze electromagnetic waves propagation in one-dimensional periodic media with single or periodic defects. The study is made both from the point of view of the modes and of the diffraction problem. We provide an explicit dispersion equation for the ... More

Large deviations and portfolio optimizationFeb 05 1998Jun 08 1998Risk control and optimal diversification constitute a major focus in the finance and insurance industries as well as, more or less consciously, in our everyday life. We present a discussion of the characterization of risks and of the optimization of portfolios ... More

Low-lying zeros of L-functions for Quaternion AlgebrasOct 30 2018The density conjecture of Katz and Sarnak predicts that, for natural families of L-functions, the distribution of zeros lying near the real axis is governed by a group of symmetry. In the case of the universal family of automorphic forms of bounded analytic ... More

Some control design experiments with HIFOOSep 01 2006A new MATLAB package called HIFOO was recently proposed for H-infinity fixed-order controller design. This document illustrates how some standard controller design examples can be solved with this software.

Maximal generalization of Baum-Katz theorem and optimality of sequential testsOct 03 2005Baum-Katz theorem asserts that the Cesaro means of i.i.d. increments distributed like X r-converge if and only if |X|^{r+1} is integrable. We generalize this, and we unify other results, by proving that the following equivalence holds, if and only if ... More

Confidence intervals for nonhomogeneous branching processes and polymerase chain reactionsMar 29 2005We extend in two directions our previous results about the sampling and the empirical measures of immortal branching Markov processes. Direct applications to molecular biology are rigorous estimates of the mutation rates of polymerase chain reactions ... More

Semidefinite geometry of the numerical rangeMar 25 2010The numerical range of a matrix is studied geometrically via the cone of positive semidefinite matrices (or semidefinite cone for short). In particular it is shown that the feasible set of a two-dimensional linear matrix inequality (LMI), an affine section ... More

Numerical computation of resonance poles in scattering theoryMar 30 2001We present a possible way of computing resonance poles and modes in scattering theory. Numerical examples are given for the scattering of electromagnetic waves by finite-size photonic crystals.

Enhanced pairing in doped quantum magnets with frustrating hole motionApr 18 2004Jul 10 2004Evidence for strong pairing at arbitrary small J/t is provided in a t-J model on the checkerboard lattice for the sign of hopping leading to frustration in hole motion. Destructive quantum interferences suppress Nagaoka ferromagnetism when J->0 and reduce ... More

The broad band X-ray/hard X-ray spectra of accreting neutron starsJan 17 2001I review the energy spectra of low mass X-ray binaries (LMXBs) containing weakly magnetized accreting neutron stars (NS), emphasizing the most recent broad band (0.1-200 keV) spectral and timing observations performed by Beppo-SAX and RXTE. Drawing on ... More

Discrete scale invariance and complex dimensionsJul 01 1997Dec 17 1998We discuss the concept of discrete scale invariance and how it leads to complex critical exponents (or dimensions), i.e. to the log-periodic corrections to scaling. After their initial suggestion as formal solutions of renormalization group equations ... More

Pinczon AlgebrasNov 12 2012After recalling the construction of a graded Lie bracket on the space of cyclic multilinear forms on a vector space V, due to Georges Pinczon and Rosane Ushirobira, we prove this construction gives a structure of quadratic associative algebra, up to homotopy, ... More

Time Evolution of States for Open Quantum Systems. The quadratic caseAug 08 2012Nov 16 2012Our main goal in this paper is to extend to any system of coupled quadratic Hamiltonians some properties known for systems of quantum harmonic oscillators related with the Brownian Quantum Motion model. In a first part we get a rather general formula ... More

Harmonic continuous-time branching momentsNov 02 2005Feb 14 2007We show that the mean inverse populations of nondecreasing, square integrable, continuous-time branching processes decrease to zero like the inverse of their mean population if and only if the initial population $k$ is greater than a first threshold $m_1\ge1$. ... More

Reclaiming human machine natureSep 29 2014Extending and modifying his domain of life by artifact production is one of the main characteristics of humankind. From the first hominid, who used a wood stick or a stone for extending his upper limbs and augmenting his gesture strength, to current systems ... More

Irregular time dependent perturbations of quantum HamiltoniansJan 20 2016Our main goal in this paper is to prove existence (and uniqueness) of the quantum propagator for time dependent quantum Hamiltonians $\hat H(t)$ when this Hamiltonian is perturbed with a quadratic white noise $\dot{\beta}\hat K$. $\beta$ is a continuous ... More

Efficient erasure decoding of Reed-Solomon codesJan 14 2009We present a practical algorithm to decode erasures of Reed-Solomon codes over the q elements binary field in O(q \log_2^2 q) time where the constant implied by the O-notation is very small. Asymptotically fast algorithms based on fast polynomial arithmetic ... More

X-ray Timing beyond the Rossi X-ray Timing ExplorerJun 05 2006With its ability to look at bright galactic X-ray sources with sub-millisecond time resolution, the Rossi X-ray Timing Explorer (RXTE) discovered that the X-ray emission from accreting compact stars shows quasi-periodic oscillations on the dynamical timescales ... More

Stability of Inhomogeneous Superstructures from Renormalized Mean-field Theory of the t--J ModelMar 10 2005Apr 16 2005Using the t--J model (which can also include Coulomb repulsion) and the ``plain vanilla'' renormalized mean-field theory of Zhang et al. (1988), stability of inhomogeneous 4a x 4a superstructures as those observed in cuprates superconductors around hole ... More

Optimization on linear matrix inequalities for polynomial systems controlSep 12 2013Many problems of systems control theory boil down to solving polynomial equations, polynomial inequalities or polyomial differential equations. Recent advances in convex optimization and real algebraic geometry can be combined to generate approximate ... More

Invariance principle for the coverage rate of genomic physical mappingsOct 03 2005We study some stochastic models of physical mapping of genomic sequences. Our starting point is a global construction of the process of the clones and of the process of the anchors which are used to map the sequence. This yields explicit formulas for ... More

Structural characterization of Cayley graphsSep 27 2016We show that the directed labelled Cayley graphs coincide with the rooted deterministic vertex-transitive simple graphs. The Cayley graphs are also the strongly connected deterministic simple graphs of which all vertices have the same cycle language, ... More

Asymptotics of posteriors for binary branching processesJun 06 2008We compute the posterior distributions of the initial population and parameter of binary branching processes, in the limit of a large number of generations. We compare this Bayesian procedure with a more na\"ive one, based on hitting times of some random ... More

Semidefinite geometry of the numerical rangeDec 09 2008The numerical range of a matrix is studied geometrically via the cone of positive semidefinite matrices (or semidefinite cone for short). In particular it is shown that the feasible set of a two-dimensional linear matrix inequality (LMI), an affine section ... More

Asymptotics of iterated branching processesOct 03 2005We study the iterated Galton-Watson process (IGW), possibly with thinning, introduced by Gawe{\l}and Kimmel to model the number of repeats of DNA triplets during some genetic disorders. If the process involves some thinning, then extinction and explosion ... More

Harmonic moments of non homogeneous branching processesOct 03 2005We study the harmonic moments of Galton-Watson processes, possibly non homogeneous, with positive values. Good estimates of these are needed to compute unbiased estimators for non canonical branching Markov processes, which occur, for instance, in the ... More

Weak and strong coupling of a quantum emitter with a meta-surfaceNov 24 2014Meta--surfaces are the bidimensional analogue of metamaterials. They are made on resonant elements periodically disposed on a surface. They have the ability of controlling the polarization of light and to generalized refraction laws as well. They have ... More

Entanglement Hamiltonian of the quantum Néel stateJul 14 2014Sep 05 2014Two-dimensional Projected Entangled Pair States (PEPS) provide a unique framework giving access to detailed entanglement features of correlated (spin or electronic) systems. For a bi-partitioned quantum system, it has been argued that the Entanglement ... More

Design of a low noise, wide band, active dipole antenna for a cosmic ray radiodetection experimentAug 12 2015An active dipole antenna has been designed to measure transient electric field induced by ultra high energy cosmic rays for the CODALEMA experiment. The main requirements for this detector, composed of a low noise preamplifier placed close to a dipole ... More

kHz QPOs from the 2000 and 2010 X-ray transients located in the globular cluster Terzan 5: EXO1745-248 and IGR J17480-2446May 02 2012EXO1745-248 is a transient neutron star low-mass X-ray binary located in the globular cluster Terzan 5. It was in outburst in 2000 and displayed during one Rossi X-ray Timing Explorer observation a highly coherent quasi-periodic oscillation (QPO) at frequencies ... More

Properties of holons in the Quantum Dimer ModelNov 14 2007Jan 22 2008I introduce a doped two-dimensional quantum dimer model describing a doped Mott insulator and retaining the original Fermi statistics of the electrons. This model shows a rich phase diagram including a d-wave hole-pair unconventional superconductor at ... More

Out-of-equilibrium Correlated Systems : Bipartite Entanglement as a Probe of ThermalizationNov 09 2010Apr 18 2011Thermalization play a central role in out-of-equilibrium physics of ultracold atoms or electronic transport phenomena. On the other hand, entanglement concepts have proven to be extremely useful to investigate quantum phases of matter. Here, it is argued ... More

Nurturing Breakthroughs: Lessons from Complexity TheoryJun 13 2007A general theory of innovation and progress in human society is outlined, based on the combat between two opposite forces (conservatism/inertia and speculative herding "bubble" behavior). We contend that human affairs are characterized by ubiquitous ``bubbles'', ... More

Detecting rigid convexity of bivariate polynomialsJan 23 2008Given a polynomial $x \in {\mathbb R}^n \mapsto p(x)$ in $n=2$ variables, a symbolic-numerical algorithm is first described for detecting whether the connected component of the plane sublevel set ${\mathcal P} = \{x : p(x) \geq 0\}$ containing the origin ... More

Direct evidence of negative refraction at media with negative ε and μNov 15 2002We analyze wave scattering by an interface between a positive refractive index medium and a Left-Handed Material. We show that the negative refraction effect can be deduced directly from Maxwell equations, without references to causality or losses.

Comment on ''Photonic Band Gaps: Noncommuting limit and the 'Acoustic Band'''Apr 25 2001This comment concerns the homogenization of 2D dielectric photonic crystals, and the fact that the limits $k\to 0$ ($k$ is the Bloch vector) and $\epsilon \to +\infty $ do not commute for $p$-polarized waves

Entanglement spectra of quantum Heisenberg laddersMay 12 2010Jun 29 2010Bipartite entanglement measures are fantastic tools to investigate quantum phases of correlated electrons. Here, I analyze the entanglement spectrum of **gapped** two-leg quantum Heisenberg ladders on a periodic ribbon partitioned into two identical periodic ... More

Dragon-Kings, Black Swans and the Prediction of CrisesJul 24 2009We develop the concept of ``dragon-kings'' corresponding to meaningful outliers, which are found to coexist with power laws in the distributions of event sizes under a broad range of conditions in a large variety of systems. These dragon-kings reveal ... More

On Cayley graphs of basic algebraic structuresMar 15 2019We present simple graph-theoretic characterizations of Cayley graphs for monoids, semigroups and groups. We extend these characterizations to commutative monoids, semilattices, and abelian groups.

Interacting bubble clouds and their sonochemical productionAug 14 2013Acoustically driven air pockets trapped in artificial crevices on a sur- face can emit bubbles which organize in (interacting) bubble clusters. With increasing driving power Fernandez Rivas et al. [Angew. Chem. Int. Ed., 2010] observed three different ... More

Remarks on Heavy-Light Mesons from AdS/CFTFeb 20 2008Mar 14 2008We use the AdS/CFT correspondence to compute the energy spectrum of heavy-light mesons in a N=2 SU(N) super Yang-Mills theory with two massive hypermultiplets. In the heavy quark limit, similar to QCD, we find that the excitation energies are independent ... More

Novel Calibration Method for Switched Capacitor Arrays Enables Time Measurements with Sub-Picosecond ResolutionMay 20 2014Nov 21 2014Switched capacitor arrays (SCA) ASICs are becoming more and more popular for the readout of detector signals, since the sampling frequency of typically several gigasamples per second allows excellent pile-up rejection and time measurements. They suffer ... More

Bootstrapping gravity solutionsDec 14 2012Apr 15 2013We construct an algorithm to determine all stationary axi-symmetric solutions of 3-dimensional Einstein gravity with a minimally coupled self-interacting scalar field. We holographically renormalize the theory and evaluate then the on-shell action as ... More

Practical Model-Based Diagnosis with Qualitative Possibilistic UncertaintyFeb 20 2013An approach to fault isolation that exploits vastly incomplete models is presented. It relies on separate descriptions of each component behavior, together with the links between them, which enables focusing of the reasoning to the relevant part of the ... More

On time dependent Schr{ö}dinger equations: global well-posedness and growth of Sobolev normsOct 11 2016In this paper we consider time dependent Schr{\"o}dinger linear PDEs of the form $i\partial_t\psi = L(t)\psi$, where $L(t)$ is a continuous family of self-adjoint operators. We give conditions for well-posedness and polynomial growth for the evolution ... More

Practical use of variational principles for modeling water wavesFeb 16 2010Dec 08 2015This paper describes a method for deriving approximate equations for irrotational water waves. The method is based on a 'relaxed' variational principle, i.e., on a Lagrangian involving as many variables as possible. This formulation is particularly suitable ... More

Doped coupled frustrated spin-1/2 chains with four-spin exchangeNov 27 2002Apr 17 2003The role of various magnetic inter-chain couplings is investigated by numerical methods in doped frustrated quantum spin chains. A non-magnetic dopant introduced in a gapped spin chain releases a free spin-1/2 soliton. The formation of a local magnetic ... More

"Bubbles in Society": The Example of the United States Apollo ProgramJun 02 2008We present an analysis of the economic, political and social factors that underlay the Apollo program, one of the most exceptional and costly projects ever undertaken by the United States in peacetime that culminated in 1969 with the first human steps ... More

Supersolid phases of a doped valence-bond quantum antiferromagnet: Evidence for a coexisting superconducting order parameterOct 04 2008Jul 06 2009Motivated by numerical evidence of the valence bond groundstate of the two-dimensional Heisenberg pyrochlore lattice, we argue using a $t$-$J$ model that it evolves under doping into novel phases characterized by superconductivity coexisting with the ... More

Modeling uncertain and vague knowledge in possibility and evidence theoriesMar 27 2013This paper advocates the usefulness of new theories of uncertainty for the purpose of modeling some facets of uncertain knowledge, especially vagueness, in AI. It can be viewed as a partial reply to Cheeseman's (among others) defense of probability.

A fuzzy relation-based extension of Reggia's relational model for diagnosis handling uncertain and incomplete informationMar 06 2013Relational models for diagnosis are based on a direct description of the association between disorders and manifestations. This type of model has been specially used and developed by Reggia and his co-workers in the late eighties as a basic starting point ... More

Simplex Z_2 spin liquids on the Kagome lattice with Entangled Pair States: spinon and vison coherence lengths, topological entropy and gapless edge modesFeb 01 2013Mar 30 2013Gapped Z_2 spin liquids have been proposed as candidates for the ground-state of the S=1/2 quantum antiferromagnet on the Kagome lattice. We extend the use of Projected Entangled Pair States to construct (on the cylinder)Resonating Valence Bond (RVB) ... More

The motion law of fronts for scalar reaction-diffusion equations with multiple wells : the degenerate case,Dec 17 2013We derive a precise motion law for fronts of solutions to scalar one-dimensional reaction-diffusion equations with equal depth multiple-wells, in the case the second derivative of the potential vanishes at its minimizers. We show that, renormalizing time ... More

High Order Multi-Scale Wall-Laws, Part I : The Periodic CaseNov 03 2006Dec 17 2007In this work we present new wall-laws boundary conditions including microscopic oscillations. We consider a newtonian flow in domains with periodic rough boundaries that we simplify considering a Laplace operator with periodic inflow and outflow boundary ... More

Exponents, symmetry groups and classification of operator fractional Brownian motionsJan 24 2011Operator fractional Brownian motions (OFBMs) are zero mean, operator self-similar (o.s.s.), Gaussian processes with stationary increments. They generalize univariate fractional Brownian motions to the multivariate context. It is well-known that the so-called ... More

The asymptotic distribution of the pathwise mean squared displacement in single particle tracking experimentsJul 23 2015Jul 26 2016Recent advances in light microscopy have spawned new research frontiers in microbiology by working around the diffraction barrier and allowing for the observation of nanometric biological structures. Microrheology is the study of the properties of complex ... More

Quantum critical phase with infinite projected entangled paired statesFeb 20 2017Jul 14 2017A classification of SU(2)-invariant Projected Entangled Paired States (PEPS) on the square lattice, based on a unique site tensor, has been recently introduced by Mambrini et al.~\cite{Mambrini2016}. It is not clear whether such SU(2)-invariant PEPS can ... More

On the Behrens--Fisher problem: A globally convergent algorithm and a finite-sample study of the Wald, LR and LM TestsNov 05 2008In this paper we provide a provably convergent algorithm for the multivariate Gaussian Maximum Likelihood version of the Behrens--Fisher Problem. Our work builds upon a formulation of the log-likelihood function proposed by Buot and Richards \citeBR. ... More

A new method for the estimation of variance matrix with prescribed zeros in nonlinear mixed effects modelsSep 02 2007Nov 25 2008We propose a new method for the Maximum Likelihood Estimator (MLE) of nonlinear mixed effects models when the variance matrix of Gaussian random effects has a prescribed pattern of zeros (PPZ). The method consists in coupling the recently developed Iterative ... More

On the strong consistency of asymptotic M-estimatorsJul 05 2005Sep 15 2006The aim of this article is to simplify Pfanzagl's proof of consistency for asymptotic maximum likelihood estimators, and to extend it to more general asymptotic M-estimators. The method relies on the existence of a sort of contraction of the parameter ... More

On the linear stability of vortex columns in the energy spaceNov 19 2018We investigate the linear stability of inviscid columnar vortices with respect to finite energy perturbations. For a large class of vortex profiles, we show that the linearized evolution group has a sub-exponential growth in time, which means that the ... More

SDLS: a Matlab package for solving conic least-squares problemsSep 17 2007This document is an introduction to the Matlab package SDLS (Semi-Definite Least-Squares) for solving least-squares problems over convex symmetric cones. The package is shortly presented through the addressed problem, a sketch of the implemented algorithm, ... More

Rigorous asymptotic study of the screened electrostatic potential in a thin dielectric slabFeb 04 2019The screened Coulomb potential plays a crucial role in the binding energies of excitons in a thin dielectric slab. The asymptotic behavior of this potential is studied when the thickness of the slab is very small as compared to the exciton Bohr radius. ... More