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SqueezeJet: High-level Synthesis Accelerator Design for Deep Convolutional Neural NetworksMay 06 2018Deep convolutional neural networks have dominated the pattern recognition scene by providing much more accurate solutions in computer vision problems such as object recognition and object detection. Most of these solutions come at a huge computational ... More

A Framework of Transfer Learning in Object Detection for Embedded SystemsNov 12 2018Nov 24 2018Transfer learning is one of the subjects undergoing intense study in the area of machine learning. In object recognition and object detection there are known experiments for the transferability of parameters, but not for neural networks which are suitable ... More

Software-Defined FPGA Accelerator Design for Mobile Deep Learning ApplicationsFeb 08 2019Recently, the field of deep learning has received great attention by the scientific community and it is used to provide improved solutions to many computer vision problems. Convolutional neural networks (CNNs) have been successfully used to attack problems ... More

Software-Defined FPGA Accelerator Design for Mobile Deep Learning ApplicationsFeb 08 2019Mar 24 2019Recently, the field of deep learning has received great attention by the scientific community and it is used to provide improved solutions to many computer vision problems. Convolutional neural networks (CNNs) have been successfully used to attack problems ... More

Expanding a robot's life: Low power object recognition via FPGA-based DCNN deploymentMar 23 2018FPGAs are commonly used to accelerate domain-specific algorithmic implementations, as they can achieve impressive performance boosts, are reprogrammable and exhibit minimal power consumption. In this work, the SqueezeNet DCNN is accelerated using an SoC ... More

Phase transition approach to detecting singularities of PDEsDec 30 2008Jun 13 2009We present a mesh refinement algorithm for detecting singularities of time-dependent partial differential equations. The main idea behind the algorithm is to treat the occurrence of singularities of time-dependent partial differential equations as phase ... More

Dimensional reduction as a tool for mesh refinement and tracking singularities of PDEsJun 20 2007We present a collection of algorithms which utilize dimensional reduction to perform mesh refinement and study possibly singular solutions of time-dependent partial differential equations. The algorithms are inspired by constructions used in statistical ... More

Coverings preserving the bottom of the spectrumNov 19 2018We prove that if a Riemannian covering preserves the bottom of the spectrum of a Schr\"{o}dinger operator, which belongs to the discrete spectrum of the operator on the base manifold, then the covering is amenable.

On the spectrum of differential operators under Riemannian coveringsMar 08 2018For a Riemannian covering $p \colon M_{2} \to M_{1}$, we compare the spectrum of an essentially self-adjoint differential operator $D_{1}$ on a bundle $E_{1} \to M_{1}$ with the spectrum of its lift $D_{2}$ on $p^{*}E_{1} \to M_{2}$. We prove that if ... More

Clustering Multivariate Data using Factor Analytic Bayesian Mixtures with an Unknown Number of ComponentsJun 02 2019Recent work on overfitting Bayesian mixtures of distributions offers a powerful framework for clustering multivariate data using a latent Gaussian model which resembles the factor analysis model. The flexibility provided by overfitting mixture models ... More

Compressive sensing adaptation for polynomial chaos expansionsJan 06 2018Nov 27 2018Basis adaptation in Homogeneous Chaos spaces rely on a suitable rotation of the underlying Gaussian germ. Several rotations have been proposed in the literature resulting in adaptations with different convergence properties. In this paper we present a ... More

Reduced Wiener Chaos representation of random fields via basis adaptation and projectionMar 15 2016Mar 22 2016A new characterization of random fields appearing in physical models is presented that is based on their well-known Homogeneous Chaos expansions. We take advantage of the adaptation capabilities of these expansions where the core idea is to rotate the ... More

Equivariant discretizations of diffusions, random walks, and harmonic functionsJun 27 2019For covering spaces and properly discontinuous actions with compatible diffusion processes, we discuss Lyons-Sullivan discretizations of the processes and the associated function theory.

Poisson Cohomology of Broken Lefschetz FibrationsMay 11 2018We compute the formal Poisson cohomology of a broken Lefschetz fibration by calculating it at fold singularities and singular points. Near a fold singularity the computation reduces to that for a point singularity in 3 dimensions. For the Poisson cohomology ... More

A drift homotopy Monte Carlo approach to particle filtering for multi-target trackingJun 15 2010Feb 10 2011We present a novel approach for improving particle filters for multi-target tracking. The suggested approach is based on drift homotopy for stochastic differential equations. Drift homotopy is used to design a Markov Chain Monte Carlo step which is appended ... More

A Bayesian model selection approach for identifying differentially expressed transcripts from RNA-Seq dataDec 09 2014Sep 26 2016Recent advances in molecular biology allow the quantification of the transcriptome and scoring transcripts as differentially or equally expressed between two biological conditions. Although these two tasks are closely linked, the available inference methods ... More

Site percolation and isoperimetric inequalities for plane graphsMay 23 2019We use isoperimetric inequalities combined with a new technique to prove upper bounds for the site percolation threshold of plane graphs with given minimum degree conditions. In the process we prove tight new isoperimetric bounds for certain classes of ... More

Almost complex structures on spheresJul 12 2017In this paper we review the well-known fact that the only spheres admitting an almost complex structure are S^2 and S^6. The proof described here uses characteristic classes and the Bott periodicity theorem in topological K-theory. This paper originates ... More

Poisson Structures of near-symplectic Manifolds and their CohomologyFeb 12 2017May 20 2018We connect Poisson and near-symplectic geometry by showing that there is an almost regular Poisson structure induced by a near-symplectic form $\omega$ when its singular locus is a symplectic mapping torus. This condition is automatically satisfied on ... More

Rare mutations limit of a steady state dispersion trait modelMay 13 2015Feb 25 2016The evolution of dispersal is a classical question in evolutionary ecology, which has been widely studied with several mathematical models. The main question is to define the fittest dispersal rate for a population in a bounded domain, and, more recently, ... More

Metastability for parabolic equations with drift: part 1Dec 19 2013We provide a self-contained analysis, based entirely on pde methods, of the exponentially long time behavior of solutions to linear uniformly parabolic equations which are small perturbations of a transport equation with vector field having a globally ... More

Scalar conservation laws with multiple rough fluxesJun 11 2014Jun 13 2014We study pathwise entropy solutions for scalar conservation laws with inhomogeneous fluxes and quasilinear multiplicative rough path dependence. This extends the previous work of Lions, Perthame and Souganidis who considered spatially independent and ... More

Metastability for parabolic equations with drift: part II. The quasilinear caseMay 09 2015Mar 17 2016This is the second part of our series of papers on metastability results for parabolic equations with drift. The aim is to present a self-contained study, using partial differential equations methods, of the metastability properties of quasi-linear parabolic ... More

Geodesics in generalized Wallach spacesMar 14 2015We study geodesics in generalized Wallach spaces which are expressed as orbits of products of three exponential terms. These are homogeneous spaces $M=G/K$ whose isotropy representation decomposes into a direct sum of three submodules $\frak{m}=\frak{m}_1\oplus\frak{m}_2\oplus\frak{m}_3$, ... More

Long-time behavior, invariant measures and regularizing effects for stochastic scalar conservation lawsNov 14 2014Mar 29 2016We study the long-time behavior and the regularity of pathwise entropy solutions to stochastic scalar conservation laws with random in time spatially homogeneous fluxes and periodic initial data. We prove that the solutions converge to their spatial average, ... More

Block-coordinate and incremental aggregated nonconvex proximal gradient methods: a unified viewJun 24 2019Jul 03 2019In this paper we study block-coordinate proximal gradient algorithms for minimizing the sum of a separable smooth function and a (nonseparable) nonsmooth function, both of which are allowed to be nonconvex. Two prominent special cases are the regularized ... More

A New Randomized Block-Coordinate Primal-Dual Proximal Algorithm for Distributed OptimizationJun 09 2017Nov 30 2018This paper proposes TriPD, a new primal-dual algorithm for minimizing the sum of a Lipschitz-differentiable convex function and two possibly nonsmooth convex functions, one of which is composed with a linear mapping. We devise a randomized block-coordinate ... More

Forward-backward envelope for the sum of two nonconvex functions: Further properties and nonmonotone line-search algorithmsJun 20 2016May 23 2017We propose ZeroFPR, a nonmonotone linesearch algorithm for minimizing the sum of two nonconvex functions, one of which is smooth and the other possibly nonsmooth. ZeroFPR is the first algorithm that, despite being fit for fully nonconvex problems and ... More

On the number of Galois orbits of newformsMay 25 2018Counting the number of Galois orbits of newforms in $S_k(\Gamma_0(N))$ and giving some arithmetic sense to this number is an interesting open problem. The case $N=1$ corresponds to Maeda's conjecture (still an open problem) and the expected number of ... More

Time fluctuations in a population model of adaptive dynamicsJun 03 2013We study the dynamics of phenotypically structured populations in environments with fluctuations. In particular, using novel arguments from the theories of Hamilton-Jacobi equations with constraints and homogenization, we obtain results about the evolution ... More

Newton-type Alternating Minimization Algorithm for Convex OptimizationMar 14 2018We propose NAMA (Newton-type Alternating Minimization Algorithm) for solving structured nonsmooth convex optimization problems where the sum of two functions is to be minimized, one being strongly convex and the other composed with a linear mapping. The ... More

Convergence of nonlocal threshold dynamics approximations to front propagationMay 16 2008In this note we prove that appropriately scaled threshold dynamics-type algorithms corresponding to the fractional Laplacian of order $\alpha \in (0,2)$ converge to moving fronts. When $\alpha \geqq 1$ the resulting interface moves by weighted mean curvature, ... More

Bound and scattering states in harmonic waveguides in the vicinity of free space Feshbach resonancesMar 08 2016The two-body bound and scattering properties in an one-dimensional harmonic waveguide close to free space magnetic Feshbach resonances are investigated based on the local frame transformation approach within a single partial wave approximation. An energy ... More

Bottom of spectra and amenability of coveringsMar 20 2018For a Riemannian covering $\pi\colon M_1\to M_0$, the bottoms of the spectra of $M_0$ and $M_1$ coincide if the covering is amenable. The converse implication does not always hold. Assuming completeness and a lower bound on the Ricci curvature, we obtain ... More

Spark Parameter Tuning via Trial-and-ErrorJul 25 2016Spark has been established as an attractive platform for big data analysis, since it manages to hide most of the complexities related to parallelism, fault tolerance and cluster setting from developers. However, this comes at the expense of having over ... More

Semi-discretization for stochastic scalar conservation laws with multiple rough fluxesDec 18 2015We develop a semi-discretization approximation for scalar conservation laws with multiple rough time dependence in inhomogeneous fluxes. The method is based on Brenier's transport-collapse algorithm and uses characteristics defined in the setting of rough ... More

Quizz: Targeted crowdsourcing with a billion (potential) usersJun 02 2015We describe Quizz, a gamified crowdsourcing system that simultaneously assesses the knowledge of users and acquires new knowledge from them. Quizz operates by asking users to complete short quizzes on specific topics; as a user answers the quiz questions, ... More

Parametric Landau damping of space charge modesSep 24 2016Landau damping is the mechanism of plasma and beam stabilization; it is caused by energy transfer from collective modes to incoherent motion of resonant particles. Normally this resonance requires the wave frequency in the particle frame to match the ... More

Hide and Seek tracker: Real-time recovery from target lossJun 20 2018In this paper, we examine the real-time recovery of a video tracker from a target loss, using information that is already available from the original tracker and without a significant computational overhead. More specifically, before using the tracker ... More

Shallow Water Bathymetry Mapping from UAV Imagery based on Machine LearningFeb 27 2019Apr 18 2019The determination of accurate bathymetric information is a key element for near offshore activities, hydrological studies such as coastal engineering applications, sedimentary processes, hydrographic surveying as well as archaeological mapping and biological ... More

Comments on the entropic gravity proposalMar 15 2018Jul 26 2018Explicit tests are presented of the conjectured entropic origin of the gravitational force. The gravitational force on a test particle in the vicinity of the horizon of a large Schwarzschild black hole in arbitrary spacetime dimensions is obtained as ... More

Resource-Efficient Quantum Algorithm for Protein FoldingAug 06 2019Predicting the three-dimensional (3D) structure of a protein from its primary sequence of amino acids is known as the protein folding (PF) problem. Due to the central role of proteins' 3D structures in chemistry, biology and medicine applications (e.g., ... More

One sided extendability and p-continuous analytic capacitiesJun 17 2016Apr 02 2018Using complex methods combined with Baire's Theorem we show that one-sided extendability, extendability and real analyticity are rare phenomena on various spaces of functions in the topological sense. These considerations led us to introduce the p-continuous ... More

Disorder-Induced Electronic NematicityJun 11 2019We expose the theoretical mechanisms underlying disorder-induced nematicity in systems exhibiting strong fluctuations or ordering in the nematic channel. Our analysis consists of a symmetry-based Ginzburg-Landau approach and associated microscopic calculations. ... More

Cubic-Quintic Long-Range Interactions With Double Well PotentialsJul 28 2012Apr 24 2013In the present work, we examine the combined effects of cubic and quintic terms of the long range type in the dynamics of a double well potential. Employing a two-mode approximation, we systematically develop two cubic-quintic ordinary differential equations ... More

Multi-block Bregman proximal alternating linearized minimization and its application to sparse orthogonal nonnegative matrix factorizationAug 04 2019We introduce and analyze BPALM and A-BPALM, two multi-block proximal alternating linearized minimization algorithms using Bregman distances for solving structured nonconvex problems. The objective function is the sum of a multi-block relatively smooth ... More

A locally anisotropic geometrical model of space-time based on CMBRSep 07 2005Feb 17 2006We study a locally anisotropic model of General Relativity in the framework of a more general geometrical structure than the Riemannian one. In this model the observable anisotropy of the CMBR (WMAP) is represented by a tensor of anisotropy and it is ... More

Online Event Recognition from Moving Vehicles: Application PaperJul 25 2019We present a system for online composite event recognition over streaming positions of commercial vehicles. Our system employs a data enrichment module, augmenting the mobility data with external information, such as weather data and proximity to points ... More

Emergent/Composite axionsNov 14 2018Nov 15 2018Hidden theories coupled to the SM may provide emergent axions, that are composites/bound-states of the hidden fields. This is motivated by paradigms emerging from the AdS/CFT correspondence but it is a more general phenomenon. We explore the general setup ... More

Universality in disordered systems: The case of the three-dimensional random-bond Ising modelDec 01 2010We study the critical behavior of the $d=3$ Ising model with bond randomness through extensive Monte Carlo simulations and finite-size scaling techniques. Our results indicate that the critical behavior of the random-bond model is governed by the same ... More

Microphase separation in linear multiblock copolymers under poor solvent conditionsNov 22 2010Molecular dynamics simulations are used to study the phase behavior of linear multiblock copolymers with two types of monomers, A and B, where the length of the polymer blocks $N_{A}$ and $N_{B}$ ($N_{A}=N_{B}=N$), the number of the blocks $n_{A}$ and ... More

Phase behaviour of two-component bottle-brush polymers with flexible backbones under poor solvent conditionsApr 16 2014The phase behaviour of two-component bottle-brush polymers with fully flexible backbones under poor solvent conditions is studied via molecular-dynamics simulations, using a coarse-grained bead-spring model and side chains of up to $N=40$ effective monomers. ... More

Efficient Bayesian experimentation using an expected information gain lower boundMay 30 2015Mar 10 2016Experimental design is crucial for inference where limitations in the data collection procedure are present due to cost or other restrictions. Optimal experimental designs determine parameters that in some appropriate sense make the data the most informative ... More

Adventures in Abstraction: Reachability in Hierarchical DrawingsJul 26 2019We present algorithms and experiments for the visualization of directed graphs that focus on displaying their reachability information. Our algorithms are based on the concepts of the path and channel decomposition as proposed in the framework presented ... More

A study for the static properties of symmetric linear multiblock copolymers under poor solvent conditionsMar 01 2012We use a standard bead-spring model and molecular dynamics simulations to study the static properties of symmetric linear multiblock copolymer chains and their blocks under poor solvent conditions in a dilute solution from the regime close to theta conditions, ... More

Molecular dynamics simulations of single-component bottle-brush polymers with a flexible backbone under poor solvent conditionsJun 04 2013Conformations of a single-component bottle-brush polymer with a fully flexible backbone under poor solvent conditions are studied by molecular-dynamics simulations, using a coarse-grained bead-spring model with side chains of up to N=40 effective monomers. ... More

Synthesising 3D Facial Motion from "In-the-Wild" SpeechApr 15 2019Synthesising 3D facial motion from speech is a crucial problem manifesting in a multitude of applications such as computer games and movies. Recently proposed methods tackle this problem in controlled conditions of speech. In this paper, we introduce ... More

Measuring ad value without bankrupting user privacyJul 24 2019Recent work has demonstrated that by monitoring the Real Time Bidding (RTB) protocol, one can estimate the monetary worth of different users for the programmatic advertising ecosystem, even when the so-called winning bids are encrypted. In this paper ... More

Quantum geometry from higher gauge theoryAug 16 2019Higher gauge theories play a prominent role in the construction of 4d topological invariants and have been long ago proposed as a tool for 4d quantum gravity. The Yetter lattice model and its continuum counterpart, the BFCG theory, generalize BF theory ... More

A numerical study of the run-up and the force exerted on a vertical wall by a solitary wave propagating over two tandem trenches and impinging on the wallJul 23 2019The propagation and transformation of water waves over varying bathymetries is a subject of fundamental interest to ocean, coastal and harbor engineers. The specific bathymetry considered in this paper consists of one or two, naturally formed or man-made, ... More

Interfacial adsorption in 2D pure and random-bond Potts modelsOct 26 2016We study using Monte Carlo simulations the finite-size scaling behavior of the interfacial adsorption of the two-dimensional square-lattice $q$-states Potts model. We consider the pure and random-bond versions of the Potts model for $q = 3,4,5,8$ and ... More

Mixing-Demixing Transition in Polymer-Grafted Spherical NanoparticlesAug 05 2019Polymer-grafted nanoparticles can provide property profiles than cannot be obtained individually by polymers or nanoparticles. Here, we have studied the order--disorder transition of symmetric copolymer melts of polymer-grafted nanoparticles with spherical ... More

Self-assembly of DNA-functionalized colloidsMar 18 2015Jun 16 2015Colloidal particles grafted with single-stranded DNA (ssDNA) chains can self-assemble into a number of different crystalline structures, where hybridization of the ssDNA chains creates links between colloids stabilizing their structure. Depending on the ... More

Solar Lab Notebook (SLN): An Ultra-Portable Web-Based System for Heliophysics and High-Security LabsOct 17 2014Jun 19 2015This paper introduces the Solar Lab Notebook (SLN), an electronic lab notebook for improving the process of recording and sharing solar related digital information in an organized manner. SLN is a pure web-based application (available online: http://umbra.nascom.nasa.gov/sln) ... More

Palindromic Decompositions with Gaps and ErrorsMar 27 2017Identifying palindromes in sequences has been an interesting line of research in combinatorics on words and also in computational biology, after the discovery of the relation of palindromes in the DNA sequence with the HIV virus. Efficient algorithms ... More

Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditionsOct 25 2009We study periodic homogenization problems for second-order pde in half-space type domains with Neumann boundary conditions. In particular, we are interested in "singular problems" for which it is necessary to determine both the homogenized equation and ... More

Smart IoT Cameras for Crowd Analysis based on augmentation for automatic pedestrian detection, simulation and annotationJun 06 2019Smart video sensors for applications related to surveillance and security are IOT-based as they use Internet for various purposes. Such applications include crowd behaviour monitoring and advanced decision support systems operating and transmitting information ... More

Learning to Filter Spam E-Mail: A Comparison of a Naive Bayesian and a Memory-Based ApproachSep 18 2000We investigate the performance of two machine learning algorithms in the context of anti-spam filtering. The increasing volume of unsolicited bulk e-mail (spam) has generated a need for reliable anti-spam filters. Filters of this type have so far been ... More

Fully-resolved wave-structure interaction simulations of a submerged cylindrical point absorber with three degrees of freedomAug 14 2019In this paper we present a fictitious domain Brinkman penalization (FD/BP) method for simulating wave-structure interactions (WSI) of a submerged cylindrical point absorber with three free degrees of freedom (DOF). The submerged buoy is tethered using ... More

A unified spectra analysis workflow for the assessment of microbial contamination of ready to eat green salads: Comparative study and application of non-invasive sensorsMar 21 2019Mar 26 2019The present study provides a comparative assessment of non-invasive sensors as means of estimating the microbial contamination and time-on-shelf (i.e. storage time) of leafy green vegetables, using a novel unified spectra analysis workflow. Two fresh ... More

Hybridization at superconductor-semiconductor interfacesJan 10 2018Aug 28 2018Hybrid superconductor-semiconductor devices are currently one of the most promising platforms for realizing Majorana zero modes. Their topological properties are controlled by the band alignment of the two materials, as well as the electrostatic environment, ... More

Personalized Radiotherapy Design for Glioblastoma: Integrating Mathematical Tumor Models, Multimodal Scans and Bayesian InferenceJul 02 2018Mar 12 2019Glioblastoma is a highly invasive brain tumor, whose cells infiltrate surrounding normal brain tissue beyond the lesion outlines visible in the current medical scans. These infiltrative cells are treated mainly by radiotherapy. Existing radiotherapy plans ... More

Classification of engineered topological superconductorsMay 01 2013Sep 21 2013I perform a complete classification of 2d, quasi-1d and 1d topological superconductors which originate from the suitable combination of inhomogeneous Rashba spin-orbit coupling, magnetism and superconductivity. My analysis reveals alternative types of ... More

A note on the topology of irreducible ${\rm SO}(3)$-manifoldsAug 25 2015We give necessary and sufficient topological conditions for the existence of an irreducible ${\rm SO}(3)$-structure on a $5$-manifold. Using these conditions we provide some new examples of $5$-manifolds with an irreducible ${\rm SO}(3)$-structure.

Stochastic global optimization as a filtering problemDec 21 2009We present a reformulation of stochastic global optimization as a filtering problem. The motivation behind this reformulation comes from the fact that for many optimization problems we cannot evaluate exactly the objective function to be optimized. Similarly, ... More

Mori-Zwanzig reduced models for uncertainty quantification II: Initial condition uncertaintyDec 27 2012In a recent preprint (arXiv:1211.4285v1) we addressed the problem of constructing reduced models for time-dependent systems described by differential equations which involve uncertain parameters. In the current work, we focus on the construction of reduced ... More

Renormalized reduced models for singular PDEsJun 08 2011Nov 18 2011We present a novel way of constructing reduced models for systems of ordinary differential equations. The reduced models we construct depend on coefficients which measure the importance of the different terms appearing in the model and need to be estimated. ... More

Self-avoiding walks and polygons on hyperbolic graphsJul 31 2019We prove that for the $d$-regular tessellations of the hyperbolic plane by $k$-gons, there are exponentially more self-avoiding walks of length $n$ than there are self-avoiding polygons of length $n$, and we deduce that the self-avoiding walk is ballistic. ... More

Topological superconductivity in Rashba semiconductors without a Zeeman fieldSep 18 2014Jul 08 2015In this manuscript I present new hybrid devices based on multi-wire/channel Rashba semiconductors, which harbor Majorana fermions (MFs) without a Zeeman field. In contrast, magnetic fluxes, supercurrents or electric fields can be employed, yielding an ... More

Positive harmonic functions on covering spacesJun 27 2019We show that if $p \colon M \to N$ is a normal Riemannian covering, with $N$ closed, and $M$ has exponential volume growth, then there are non-constant, positive harmonic functions on $M$. This was conjectured by Lyons and Sullivan in \cite{LS}.

A new ergodic proof of a theorem of W. VeechMar 06 2017Our goal in the present paper is to give a new ergodic proof of a well-known Veech's result, build upon our previous works.

Conditional path sampling of stochastic differential equations by drift relaxationJun 12 2010Feb 10 2011We present an algorithm for the efficient sampling of conditional paths of stochastic differential equations (SDEs). While unconditional path sampling of SDEs is straightforward, albeit expensive for high dimensional systems of SDEs, conditional path ... More

Simple vs complex temporal recurrences for video saliency predictionJul 03 2019Jul 16 2019This paper investigates modifying an existing neural network architecture for static saliency prediction using two types of recurrences that integrate information from the temporal domain. The first modification is the addition of a ConvLSTM within the ... More

Universal partial sums of Taylor series as functions of the centre of expansionOct 09 2017V. Nestoridis conjectured that if $\Omega$ is a simply connected subset of $\mathbb{C}$ that does not contain $0$ and $S(\Omega)$ is the set of all functions $f\in \mathcal{H}(\Omega)$ with the property that the set $\left\{T_N(f)(z)\coloneqq\sum_{n=0}^N\dfrac{f^{(n)}(z)}{n!} ... More

Mori-Zwanzig reduced models for uncertainty quantification I: Parametric uncertaintyNov 19 2012In many time-dependent problems of practical interest the parameters entering the equations describing the evolution of the various quantities exhibit uncertainty. One way to address the problem of how this uncertainty impacts the solution is to expand ... More

On the isomorphism between the reduction algebra and the invariant differential operators on Lie groupsMar 22 2011Oct 29 2012Using techniques of deformation (bi)quantization we establish a non-canonical algebra isomorphism between the deformed reduction algebra and the invariant differential operators on G/H. Further results concerning other deformations of these two algebras ... More

Numerical computation of solutions of the critical nonlinear Schrodinger equation after the singularityOct 11 2010We present numerical results for the solution of the 1D critical nonlinear Schrodinger with periodic boundary conditions and initial data that give rise to a finite time singularity. We construct, through the Mori-Zwanzig formalism, a reduced model which ... More

Realistic Simulations of the Galactic Polarized Foreground: Consequences for 21-cm Reionization Detection ExperimentsJul 23 2010Jun 10 2015Experiments designed to measure the redshifted 21~cm line from the Epoch of Reionization (EoR) are challenged by strong astrophysical foreground contamination, ionospheric distortions, complex instrumental response and other different types of noise (e.g. ... More

Creating an extrovert robotic assistant via IoT networking devicesApr 12 2018The communication and collaboration of Cyber-Physical Systems, including machines and robots, among themselves and with humans, is expected to attract researchers' interest for the years to come. A key element of the new revolution is the Internet of ... More

Measurements of jet-related observables at the LHCSep 07 2015During the first years of the LHC operation a large amount of jet data was recorded by the ATLAS and CMS experiments. In this review several measurements of jet-related observables are presented, such as multi-jet rates and cross sections, ratios of jet ... More

label.switching: An R Package for Dealing with the Label Switching Problem in MCMC OutputsMar 08 2015Label switching is a well-known and fundamental problem in Bayesian estimation of mixture or hidden Markov models. In case that the prior distribution of the model parameters is the same for all states, then both the likelihood and posterior distribution ... More

Solving the two envelopes problem with the Intermediate Amount StrategyFeb 16 2015This paper introduces a strategy in the two envelopes problem that utilizes the prior beliefs of two players about the amount of money that their envelopes can contain. This strategy gives them more information about the decision of switching they have ... More

Real-time jam-session support systemJan 27 2012We propose a method for the problem of real time chord accompaniment of improvised music. Our implementation can learn an underlying structure of the musical performance and predict next chord. The system uses Hidden Markov Model to find the most probable ... More

Variations on the Two Envelopes ProblemNov 06 2014There are many papers written on the Two Envelopes Problem that usually study some of its variations. In this paper we will study and compare the most significant variations of the problem. We will see the correct decisions for each player and we will ... More

The size of the singular set of a Type I Ricci flowOct 02 2015In a singular Type I Ricci flow, we consider a stratification of the set where there is curvature blow-up, according to the number of the Euclidean factors split by the tangent flows. We then show that the strata are characterized roughly in terms of ... More

Stochastic Optimal Prediction for the Kuramoto-Sivashinsky EquationJul 10 2003We examine the problem of predicting the evolution of solutions of the Kuramoto-Sivashinsky equation when initial data are missing. We use the optimal prediction method to construct equations for the reduced system. The resulting equations for the resolved ... More

Continuous-variables quantum cryptography: asymptotic and finite-size security analysisJun 12 2019In this thesis we study the finite-size analysis of two continuous-variables quantum key distribution schemes. The first one is the one-way protocol using Gaussian modulation of thermal states and the other is the measurement-device-independent protocol. ... More

A maximum likelihood algorithm for the estimation and renormalization of exponential densitiesSep 14 2004We present an algorithm based on maximum likelihood for the estimation and renormalization (marginalization) of exponential densities. The moment-matching problem resulting from the maximization of the likelihood is solved as an optimization problem using ... More

The size of the singular set of a Type I Ricci flowOct 02 2015Nov 04 2016In a singular Type I Ricci flow, we consider a stratification of the set where there is curvature blow-up, according to the number of the Euclidean factors split by the tangent flows. We then show that the strata are characterized roughly in terms of ... More

Red supergiant stars in the Large Magellanic Cloud. II. Infrared properties and mid-infrared variabilityMay 08 2018The characteristics of IR properties and MIR variability of RSGs in the LMC are analyzed based on 12 bands of NIR to MIR co-added data from 2MASS, Spitzer and WISE, and $\sim$6.6 years of MIR time-series data collected by the ALLWISE and NEOWISE-R projects. ... More