Results for "Jalal Mahmud"

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Why Do You Spread This Message? Understanding Users Sentiment in Social Media CampaignsMar 24 2014Twitter has been increasingly used for spreading messages about campaigns. Such campaigns try to gain followers through their Twitter accounts, influence the followers and spread messages through them. In this paper, we explore the relationship between ... More
Home Location Identification of Twitter UsersMar 07 2014We present a new algorithm for inferring the home location of Twitter users at different granularities, including city, state, time zone or geographic region, using the content of users tweets and their tweeting behavior. Unlike existing approaches, our ... More
Why Are You More Engaged? Predicting Social Engagement from Word UseFeb 26 2014We present a study to analyze how word use can predict social engagement behaviors such as replies and retweets in Twitter. We compute psycholinguistic category scores from word usage, and investigate how people with different scores exhibited different ... More
Programming at Exascale: Challenges and InnovationsSep 24 2018Supercomputers become faster as hardware and software technologies continue to evolve. Current supercomputers are capable of 1015 floating point operations per second (FLOPS) that called Petascale system. The High Performance Computer (HPC) community ... More
Optimizing The Selection of Strangers To Answer Questions in Social MediaApr 08 2014Millions of people express themselves on public social media, such as Twitter. Through their posts, these people may reveal themselves as potentially valuable sources of information. For example, real-time information about an event might be collected ... More
Who Will Retweet This? Automatically Identifying and Engaging Strangers on Twitter to Spread InformationMay 15 2014Jul 12 2014There has been much effort on studying how social media sites, such as Twitter, help propagate information in different situations, including spreading alerts and SOS messages in an emergency. However, existing work has not addressed how to actively identify ... More
Using Structured Representation and Data: A Hybrid Model for Negation and Sentiment in Customer Service ConversationsJun 11 2019Twitter customer service interactions have recently emerged as an effective platform to respond and engage with customers. In this work, we explore the role of negation in customer service interactions, particularly applied to sentiment analysis. We define ... More
Computational Models for Attitude and Actions PredictionApr 16 2017In this paper, we present computational models to predict Twitter users' attitude towards a specific brand through their personal and social characteristics. We also predict their likelihood to take different actions based on their attitudes. In order ... More
Raising Awareness of Conveyed Personality In Social Media TracesOct 11 2017Users' persistent social media contents like posts on Facebook Timeline are presented as an "exhibition" about the person to others, and managing these exhibitional contents for impression management needs intentional and manual efforts. To raise awareness ... More
Don't get Lost in Negation: An Effective Negation Handled Dialogue Acts Prediction Algorithm for Twitter Customer Service ConversationsJul 16 2018In the last several years, Twitter is being adopted by the companies as an alternative platform to interact with the customers to address their concerns. With the abundance of such unconventional conversation resources, push for developing effective virtual ... More
Impact of Imbalance Usage of Social Networking Sites on FamiliesOct 26 2015With the proliferation of social networking sites (SNSs) such as Facebook and Google+, investigating the impact of SNSs on our lives has become an important research area in recent years. Though SNS usage plays a key role in connecting people with friends ... More
"How May I Help You?": Modeling Twitter Customer Service Conversations Using Fine-Grained Dialogue ActsSep 15 2017Given the increasing popularity of customer service dialogue on Twitter, analysis of conversation data is essential to understand trends in customer and agent behavior for the purpose of automating customer service interactions. In this work, we develop ... More
Fostering User Engagement: Rhetorical Devices for Applause Generation Learnt from TED TalksMar 17 2017Apr 17 2017One problem that every presenter faces when delivering a public discourse is how to hold the listeners' attentions or to keep them involved. Therefore, many studies in conversation analysis work on this issue and suggest qualitatively con-structions that ... More
A calculation of a half-integral weight multiplier system on SU(2,1)Jul 11 2011In this thesis, we construct a half-integral weight multiplier system on the group SU(2,1). In order to do so, we first find a formula for a 2-cocycle representing the double cover of SU(2,1)(k), where k is a local field. For each non-archimedean local ... More
Fog Computing: A Taxonomy, Survey and Future DirectionsNov 17 2016Nov 21 2016In recent years, the number of Internet of Things (IoT) devices/sensors has increased to a great extent. To support the computational demand of real-time latency-sensitive applications of largely geo-distributed IoT devices/sensors, a new computing paradigm ... More
Fog Computing: A Taxonomy, Survey and Future DirectionsNov 17 2016Nov 24 2016In recent years, the number of Internet of Things (IoT) devices/sensors has increased to a great extent. To support the computational demand of real-time latency-sensitive applications of largely geo-distributed IoT devices/sensors, a new computing paradigm ... More
Fog Computing: A Taxonomy, Survey and Future DirectionsNov 17 2016In recent years, the number of Internet of Things (IoT) devices/sensors has increased to a great extent. To support the computational demand of real-time latency-sensitive applications of largely geo-distributed IoT devices/sensors, a new computing paradigm ... More
Graph-Based Method for Anomaly Detection in Functional Brain Network using Variational AutoencoderApr 15 2019Functional neuroimaging techniques have accelerated progress in the study of brain disorders and dysfunction, often measured using resting-state functional MRI (rs-fMRI). Because there are slight differences between healthy and disorder brains, investigating ... More
Recommending Targeted Strangers from Whom to Solicit Information on Social MediaMay 21 2014We present an intelligent, crowd-powered information collection system that automatically identifies and asks target-ed strangers on Twitter for desired information (e.g., cur-rent wait time at a nightclub). Our work includes three parts. First, we identify ... More
Distinguishing Thermal Fluctuations from Instrumental Error for High Pressure Charged GasJun 05 2016Thermodynamic parameters such as temperature and pressure could be defined from the statistical behavior of the system. Therefore, always there exists a natural thermal fluctuations in these parameters which leads to fluctuations in experimental data. ... More
Graph-Based Method for Anomaly Detection in Functional Brain Network using Variational AutoencoderApr 15 2019Apr 17 2019Functional neuroimaging techniques have accelerated progress in the study of brain disorders and dysfunction, often measured using resting-state functional MRI (rs-fMRI). Because there are slight differences between healthy and disorder brains, investigating ... More
Graph-Based Method for Anomaly Detection in Functional Brain Network using Variational AutoencoderApr 15 2019Apr 23 2019Functional neuroimaging techniques using resting-state functional MRI (rs-fMRI) have accelerated progress in brain disorders and dysfunction studies. Since, there are the slight differences between healthy and disorder brains, investigation in the complex ... More
Geometry and a priori estimates for free boundary problems of the Euler's equationAug 16 2006Oct 12 2006In this paper we derive estimates to the free boundary problem for the Euler equation with surface tension, and without surface tension provided the Rayleigh-Taylor sign condition holds. We prove that as the surface tension tends to zero, when the Rayleigh-Taylor ... More
Space-Time resonances and the null condition for (first order) systems of wave equationsSep 26 2011Jun 15 2012In this manuscript we prove global existence and linear asymptotic behavior of small solutions to nonlinear wave equations. We assume that the quadratic part of the nonlinearity satisfies a non-resonant condition which is a generalization of the null ... More
25 Tweets to Know You: A New Model to Predict Personality with Social MediaApr 18 2017Predicting personality is essential for social applications supporting human-centered activities, yet prior modeling methods with users written text require too much input data to be realistically used in the context of social media. In this work, we ... More
Characterizing machine learning process: A maturity frameworkNov 12 2018Academic literature on machine learning modeling fails to address how to make machine learning models work for enterprises. For example, existing machine learning processes cannot address how to define business use cases for an AI application, how to ... More
Distinguishing Thermal Fluctuations from Instrumental Error for High Pressure Charged GasJun 05 2016Feb 26 2017Thermodynamic parameters such as temperature and pressure can be defined from the statistical behavior of a system. Therefore, thermal fluctuation is an inseparable characteristic of these parameters which eventually finds its way into experimental data. ... More
On the Vulnerability of Digital Fingerprinting Systems to Finite Alphabet Collusion AttacksApr 27 2016This paper proposes a novel, non-linear collusion attack on digital fingerprinting systems. The attack is proposed for fingerprinting systems with finite alphabet but can be extended to continuous alphabet. We analyze the error probability of the attack ... More
Linear Quadratic Mean Field Teams: Optimal and Approximately Optimal Decentralized SolutionsAug 31 2016Sep 18 2018We consider team optimal control of decentralized systems with linear dynamics, quadratic costs, and arbitrary disturbance that consist of multiple sub-populations with exchangeable agents (i.e., exchanging two agents within the same sub-population does ... More
Simulation of Gegenbauer Processes using Wavelet PacketsAug 24 2006In this paper, we study the synthesis of Gegenbauer processes using the wavelet packets transform. In order to simulate a 1-factor Gegenbauer process, we introduce an original algorithm, inspired by the one proposed by Coifman and Wickerhauser [1], to ... More
Team Optimal Decentralized Control of System with Partially Exchangeable Agents--Part 1: Linear Quadratic Mean-Field TeamsAug 31 2016We consider team optimal control of decentralized systems with linear dynamics and quadratic costs that consist of multiple sub-populations with exchangeable agents (i.e., exchanging two agents within the same sub-population does not affect the dynamics ... More
Quantum Ising dynamics and Majorana-like edge modes in the Rabi lattice modelOct 25 2012May 31 2013The atomic dipoles in the Rabi lattice model exhibit quantum Ising dynamics in the limit of strong atom-photon interaction. It governs the para- to ferro-electric phase transition in the ground state. On an open chain, it implies the existence of two ... More
Real-time Context-aware Learning System for IoT ApplicationsOct 26 2018We propose a real-time context-aware learning system along with the architecture that runs on the mobile devices, provide services to the user and manage the IoT devices. In this system, an application running on mobile devices collected data from the ... More
A priori estimates for fluid Interface problemsSep 20 2006Oct 12 2006We consider the regularity of an interface between two incompressible and inviscid fluids flows in the presence of surface tension. We obtain local in time estimates on the interface in $H^{\frac32k +1}$ and the velocity fields in $H^{\frac32k}$. These ... More
Edge modes in a frustrated quantum Ising chainJul 01 2014The ground state properties of an Ising chain with nearest ($J_{1}$) and next-nearest neighbor ($J_{2}$) interactions in a transverse field are investigated using the density matrix renormalization group and cluster mean-field theory methods. Its quantum ... More
Measures of Noncompactness in $\bar{N}(p,q)$ Summable Sequence SpacesMay 07 2018May 12 2018In this paper we first define the $\bar{N}(p,q)$ summable sequence spaces and obtain some basic results related to these spaces. The necessary and sufficient conditions for infinite matrices $A$ to map these spaces on $X~~,~~X=c_0, c \text{ or } \ell_{\infty}$ ... More
A quasi-Newton proximal splitting methodJun 06 2012Jun 20 2012A new result in convex analysis on the calculation of proximity operators in certain scaled norms is derived. We describe efficient implementations of the proximity calculation for a useful class of functions; the implementations exploit the piece-wise ... More
I-convergent triple difference sequence spaces defined by a sequence of modulus functionMar 16 2018The main objective of this paper is to introduce classes of $I$-convergent triple difference sequence spaces, $c_{0I}^{3}(\Delta,\digamma)$, $c_{I}^{3}(\Delta,\digamma)$, $\ell_{\infty I}^{3}(\Delta,\digamma)$, $M_{I}^{3}(\Delta,\digamma)$ and $M_{0I}^{3}(\Delta,\digamma)$, ... More
Situation-Aware Left-Turning Connected and Automated Vehicle Operation at Signalized IntersectionsAug 02 2019One challenging aspect of the Connected and Automated Vehicle (CAV) operation in mixed traffic is the development of a situation awareness module for CAVs. While operating on public roads, CAVs need to assess the surrounding, especially intentions of ... More
Connected Vehicle Supported Adaptive Traffic Control for Near-congested Condition in a Mixed Traffic StreamJul 14 2019Connected Vehicles (CVs) have the potential to significantly increase the safety, mobility, and environmental benefits of transportation applications. In this research, we have developed a real time adaptive traffic signal control algorithm that utilizes ... More
New designing of E-Learning systems with using network learningMar 16 2010One of the most applied learning in virtual spaces is using E-Learning systems. Some E-Learning methodologies has been introduced, but the main subject is the most positive feedback from E-Learning systems. In this paper, we introduce a new methodology ... More
Modern Symmetric Cryptography methodologies and its applicationsDec 06 2009Nowadays, using cryptographic systems play an effective role in security and safety technologies. One of the most applied kind of cryptography is Symmetric Cryptography and its applications. New aspects of symmetric Cryptography methodologies and applications ... More
Boundary value problem for an infinite system of second order differential equations in $\ell_p$ spacesJul 16 2018In this paper the concept of measure of noncompactness is applied to prove the existence of solution for a boundary value problem for an infinite system of second order differential equations in $\ell_{p}$ space. We change the boundary value problem into ... More
A bound on the scrambling index of a primitive matrix using Boolean rankOct 11 2009The scrambling index of an $n\times n$ primitive matrix $A$ is the smallest positive integer $k$ such that $A^k(A^{t})^k=J$, where $A^t$ denotes the transpose of $A$ and $J$ denotes the $n\times n$ all ones matrix. For an $m\times n$ Boolean matrix $M$, ... More
Stein Block Thresholding For Image DenoisingSep 20 2008In this paper, we investigate the minimax properties of Stein block thresholding in any dimension $d$ with a particular emphasis on $d=2$. Towards this goal, we consider a frame coefficient space over which minimaxity is proved. The choice of this space ... More
HandsInAir: A Wearable System for Remote CollaborationDec 08 2011We present HandsInAir, a real-time collaborative wearable system for remote collaboration. The system is developed to support real world scenarios in which a remote mobile helper guides a local mobile worker performing a physical task. HandsInAir implements ... More
Low Complexity Regularization of Linear Inverse ProblemsJul 07 2014Dec 08 2014Inverse problems and regularization theory is a central theme in contemporary signal processing, where the goal is to reconstruct an unknown signal from partial indirect, and possibly noisy, measurements of it. A now standard method for recovering the ... More
Efficient Neighborhood Selection for Gaussian Graphical ModelsSep 22 2015This paper addresses the problem of neighborhood selection for Gaussian graphical models. We present two heuristic algorithms: a forward-backward greedy algorithm for general Gaussian graphical models based on mutual information test, and a threshold-based ... More
Repulsive Casimir interaction: Boyer oscillators at nanoscaleOct 04 2015We study the effect of temperature on the repulsive Casimir interaction between an ideally permeable and an ideally polarizable plate {\it in vacuo}. At small separations or for low temperatures the quantum fluctuations of the electromagnetic field give ... More
How to Dimension 5G Network When Users Are Distributed on Roads Modeled by Poisson Line ProcessMay 17 2018-The fifth generation (5G) New Radio (NR) interface inherits many concepts and techniques from 4G systems such as the Orthogonal Frequency Division Multiplex (OFDM) based waveform and multiple access. Dimensioning 5G NR interface will likely follow the ... More
Interference Analysis in Dynamic TDD System Combined or not With Cell Clustering SchemeMay 17 2018Dynamic Time Division Duplex (TDD) has been introduced as a solution to deal with the uplink and downlink traffic asymmetry, mainly observed for dense heterogeneous network deployments. However, the use of this feature requires new interference mitigation ... More
Non-monotonic Casimir interaction: The role of amplifying dielectricsJan 25 2016The normal and the lateral Casimir interactions between corrugated ideal metallic plates in the presence of an amplifying or an absorptive dielectric slab has been studied by the path-integral quantization technique. The effect of the amplifying slab, ... More
RHR-Net: A Residual Hourglass Recurrent Neural Network for Speech EnhancementApr 15 2019Most current speech enhancement models use spectrogram features that require an expensive transformation and result in phase information loss. Previous work has overcome these issues by using convolutional networks to learn long-range temporal correlations ... More
Pulling a DNA molecule through a nanopore embedded in a charged membrane: tension propagation against electrostaticsJul 16 2019We consider the influence of electrostatic forces on driven translocation dynamics of a flexible polyelectrolyte being pulled through a nanopore by an external force on the head monomer. To this end, we augment the iso-flux tension propagation (IFTP) ... More
Specification and Verification of Uplink Framework for Application of Software Engineering using RM-ODPApr 30 2012This paper present a survey and discussion of the Reference Model for Open Distributed Processing (RM-ODP) viewpoints; oriented approaches to requirements engineering viewpoint and a presentation of new work in the application wireless mobile phone, this ... More
Partition Consistency: A Case Study in Modeling Systems with Weak Memory Consistency and Proving Correctness of their ImplementationsJun 01 2013Multiprocess systems, including grid systems, multiprocessors and multicore computers, incorporate a variety of specialized hardware and software mechanisms, which speed computation, but result in complex memory behavior. As a consequence, the possible ... More
Nonlocal $p$-Laplacian evolution problems on graphsDec 21 2016Apr 26 2019In this paper we study numerical approximations of the evolution problem for the nonlocal $p$-Laplacian with homogeneous Neumann boundary conditions. First, we derive a bound on the distance between two continuous-in-time trajectories defined by two different ... More
An Efficient Bit Plane X-OR Algorithm for Irreversible Image SteganographyOct 12 2014The science of hiding secret information in another message is known as Steganography; hence the presence of secret information is concealed. It is the method of hiding cognitive content in same or another media to avoid recognition by the intruders. ... More
Local Convergence Properties of Douglas--Rachford and ADMMJun 07 2016Mar 06 2017The Douglas--Rachford (DR) and alternating direction method of multipliers (ADMM) are two proximal splitting algorithms designed to minimize the sum of two proper lower semi-continuous convex functions whose proximity operators are easy to compute. The ... More
A New Measure of Conditional DependenceMar 31 2017Jun 02 2017Measuring conditional dependencies among the variables of a network is of great interest to many disciplines. This paper studies some shortcomings of the existing dependency measures in detecting direct causal influences or their lack of ability for group ... More
Graph-Based Method for Anomaly Prediction in Brain NetworkApr 15 2019Jun 24 2019Resting-state functional MRI (rs-fMRI) in functional neuroimaging techniques have improved in brain disorders, dysfunction studies via mapping the topology of the brain connections, i.e. connectopic mapping. Since, there are the slight differences between ... More
Adaptive estimation of an additive regression function from weakly dependent dataNov 16 2011Aug 06 2012A $d$-dimensional nonparametric additive regression model with dependent observations is considered. Using the marginal integration technique and wavelets methodology, we develop a new adaptive estimator for a component of the additive regression function. ... More
Iso-Flux Tension Propagation Theory of Driven Polymer Translocation: The Role of Initial ConfigurationsSep 30 2014We investigate the dynamics of pore-driven polymer translocation by theoretical analysis and molecular dynamics (MD) simulations. Using the tension propagation theory within the constant flux approximation we derive an explicit equation of motion for ... More
Electricity Market Equilibrium under Information AsymmetryMay 23 2019We study a competitive electricity market equilibrium with two trading stages, day-ahead and real-time. The welfare of each market agent is exposed to uncertainty (here from renewable energy production), while agent information on the probability distribution ... More
SAVOIAS: A Diverse, Multi-Category Visual Complexity DatasetOct 03 2018Visual complexity identifies the level of intricacy and details in an image or the level of difficulty to describe the image. It is an important concept in a variety of areas such as cognitive psychology, computer vision and visualization, and advertisement. ... More
Convergence rates of Forward--Douglas--Rachford splitting methodJan 03 2018Over the past years, operator splitting methods have become ubiquitous for non-smooth optimization owing to their simplicity and efficiency. In this paper, we consider the Forward--Douglas--Rachford splitting method (FDR) [10,40], and study both global ... More
Local Linear Convergence Analysis of Primal-Dual Splitting MethodsMay 04 2017Jan 09 2018In this paper, we study the local linear convergence properties of a versatile class of Primal-Dual splitting methods for minimizing composite non-smooth convex optimization problems. Under the assumption that the non-smooth components of the problem ... More
Two coupled nonlinear cavities in a driven-dissipative environmentAug 28 2016We investigate two coupled nonlinear cavities that are coherently driven in a dissipative environment. We perform semiclassical, numerical and analytical quantum studies of this dimer model when both cavities are symmetrically driven. In the semiclassical ... More
Conceptual Framework for Internet of Things' Virtualization via OpenFlow in Context-aware NetworksJan 29 2014A novel conceptual framework is presented in this paper with an aim to standardize and virtualize Internet of Things(IoT) infrastructure through deploying OpenFlow technology. The framework can receivee services based on context information leaving the ... More
A Particle Swarm Based Algorithm for Functional Distributed Constraint Optimization ProblemsSep 13 2019Distributed Constraint Optimization Problems (DCOPs) are a widely studied constraint handling framework. The objective of a DCOP algorithm is to optimize a global objective function that can be described as the aggregation of a number of distributed constraint ... More
On Nonlinear Parabolic Equation in Nondivergent Form with Implicit Degeneration and Embedding TheoremsJul 30 2012The mixed problem for the implicit degenerating nonlinear parabolic equation is considered, and the solvability and behavior of solutions of this problem are studied. Furthermore, some classes of function spaces and their relations with Sobolev spaces ... More
Online Budgeted Repeated MatchingDec 01 2015A basic combinatorial online resource allocation problem is considered, where multiple servers have individual capacity constraints, and at each time slot, a set of jobs arrives, that have potentially different weights to different servers. At each time ... More
A Multi-step Inertial Forward--Backward Splitting Method for Non-convex OptimizationJun 07 2016In this paper, we propose a multi-step inertial Forward--Backward splitting algorithm for minimizing the sum of two non-necessarily convex functions, one of which is proper lower semi-continuous while the other is differentiable with a Lipschitz continuous ... More
Portals and Task Innovation: A Theoretical Framework Founded on Business Intelligence ThinkingAug 04 2012The main aim of this study is to develop a theoretical framework for the success of Web portals in promoting task innovation. This is deemed significant as yet little research has tackled this important domain from the business intelligence perspective. ... More
A Hydrodynamic model for a dynamical jammed-to-flowing transition in gravity driven granular mediaDec 05 2001Granular material on an inclined plane will flow like a fluid if the angle $\theta$ the plane makes with the horizontal is large enough. We employ a modification of a hydrodynamic model introduced previously to describe Couette flow experiments to describe ... More
Pressure drag and skin friction effects in a miscible flow through porous mediaMay 26 2014Understanding miscible flow of CO$_2$ and oil in a porous media is an important topic in the field of petroleum engineering. In this article, we present an upscaling methodology for displacing oil by CO$_2$, and study the statistical mechanical theory ... More
Constrained Multi-user Multi-server Max-Min Fair QueuingJan 18 2016In this paper, a multi-user multi-server queuing system is studied in which each user is constrained to get service from a subset of servers. In the studied system, rate allocation in the sense of max-min fairness results in multi-level fair rates. To ... More
Fusing Color and Texture Cues to Categorize the Fruit Diseases from ImagesDec 23 2014The economic and production losses in agricultural industry worldwide are due to the presence of diseases in the several kinds of fruits. In this paper, a method for the classification of fruit diseases is proposed and experimentally validated. The image ... More
On adaptive wavelet estimation of a class of weighted densitiesJul 04 2012Feb 28 2013We investigate the estimation of a weighted density taking the form $g=w(F)f$, where $f$ denotes an unknown density, $F$ the associated distribution function and $w$ is a known (non-negative) weight. Such a class encompasses many examples, including those ... More
Stein COnsistent Risk Estimator (SCORE) for hard thresholdingJan 24 2013In this work, we construct a risk estimator for hard thresholding which can be used as a basis to solve the difficult task of automatically selecting the threshold. As hard thresholding is not even continuous, Stein's lemma cannot be used to get an unbiased ... More
Generalized Conditional Gradient with Augmented Lagrangian for Composite MinimizationJan 04 2019May 02 2019In this paper we propose a splitting scheme which hybridizes generalized conditional gradient with a proximal step which we call CGALP algorithm, for minimizing the sum of three proper convex and lower-semicontinuous functions in real Hilbert spaces. ... More
Secret Image Sharing Using Grayscale Payload Decomposition and Irreversible Image SteganographyOct 12 2014To provide an added security level most of the existing reversible as well as irreversible image steganography schemes emphasize on encrypting the secret image (payload) before embedding it to the cover image. The complexity of encryption for a large ... More
A Multi-step Inertial Forward--Backward Splitting Method for Non-convex OptimizationJun 07 2016Oct 27 2016In this paper, we propose a multi-step inertial Forward--Backward splitting algorithm for minimizing the sum of two non-necessarily convex functions, one of which is proper lower semi-continuous while the other is differentiable with a Lipschitz continuous ... More
Iteration-Complexity of a Generalized Forward Backward Splitting AlgorithmOct 24 2013Feb 10 2014In this paper, we analyze the iteration-complexity of Generalized Forward--Backward (GFB) splitting algorithm, as proposed in \cite{gfb2011}, for minimizing a large class of composite objectives $f + \sum_{i=1}^n h_i$ on a Hilbert space, where $f$ has ... More
Topological transitions in Ising modelsOct 31 2016The thermal dynamics of the two-dimensional Ising model and quantum dynamics of the one-dimensional transverse-field Ising model (TFIM) are mapped to one another through the transfer-matrix formalism. We show that the fermionised TFIM undergoes a Fermi-surface ... More
Astronomical Image Denoising Using Dictionary LearningApr 12 2013Astronomical images suffer a constant presence of multiple defects that are consequences of the intrinsic properties of the acquisition equipments, and atmospheric conditions. One of the most frequent defects in astronomical imaging is the presence of ... More
Local Convergence Properties of Douglas--Rachford and ADMMJun 07 2016Aug 03 2016The Douglas--Rachford (DR) and alternating direction method of multipliers (ADMM) are two proximal splitting algorithms designed to minimize the sum of two proper lower semi-continuous convex functions whose proximity operators are easy to compute. The ... More
Steady water waves in the presence of windNov 14 2012In this paper we develop an existence theory for small amplitude, steady, two-dimensional water waves in the presence of wind in the air above. The presence of the wind is modeled by a Kelvin--Helmholtz type discontinuity across the air--water interface, ... More
Generalized Conditional Gradient with Augmented Lagrangian for Composite MinimizationJan 04 2019Jan 24 2019In this paper we propose a splitting scheme which hybridizes generalized conditional gradient with a proximal step which we call CGALP algorithm, for minimizing the sum of three proper convex and lower-semicontinuous functions in real Hilbert spaces. ... More
Traveling water waves with compactly supported vorticityNov 14 2012In this paper, we prove the existence of two-dimensional, traveling, capillary-gravity, water waves with compactly supported vorticity. Specifically, we consider the cases where the vorticity is a $\delta$-function (a point vortex), or has small compact ... More
Adapted Approach for Fruit Disease Identification using ImagesMay 20 2014Aug 04 2014Diseases in fruit cause devastating problem in economic losses and production in agricultural industry worldwide. In this paper, an adaptive approach for the identification of fruit diseases is proposed and experimentally validated. The image processing ... More
Sharp Oracle Inequalities for Low-complexity PriorsFeb 10 2017Oct 03 2017In this paper,we consider a high-dimensional statistical estimation problem in which the the number of parameters is comparable or larger than the sample size. We present a unified analysis of the performance guarantees of exponential weighted aggregation ... More
Theory of polymer translocation through a flickering nanopore under an alternating driving forceMay 15 2015We develop a theory for polymer translocation driven by a time-dependent force through an oscillating nanopore. To this end, we extend the iso-flux tension propagation theory (IFTP) [Sarabadani \textit{et al., J. Chem. Phys.}, 2014, \textbf{141}, 214907] ... More
On Quasi-Newton Forward--Backward Splitting: Proximal Calculus and ConvergenceJan 26 2018Nov 22 2018We introduce a framework for quasi-Newton forward--backward splitting algorithms (proximal quasi-Newton methods) with a metric induced by diagonal $\pm$ rank-$r$ symmetric positive definite matrices. This special type of metric allows for a highly efficient ... More
Scattering for the Zakharov system in 3 dimensionsJun 15 2012Mar 21 2013We prove global existence and scattering for small localized solutions of the Cauchy problem for the Zakharov system in 3 space dimensions. The wave component is shown to decay pointwise at the optimal rate of t^{-1}, whereas the Schr\"odinger component ... More
Activity Identification and Local Linear Convergence of Forward--Backward-type methodsMar 12 2015Jan 03 2018In this paper, we consider a class of Forward--Backward (FB) splitting methods that includes several variants (e.g. inertial schemes, FISTA) for minimizing the sum of two proper convex and lower semi-continuous functions, one of which has a Lipschitz ... More
Local Linear Convergence of Forward-Backward under Partial SmoothnessJul 21 2014Mar 10 2015In this paper, we consider the Forward--Backward proximal splitting algorithm to minimize the sum of two proper convex functions, one of which having a Lipschitz continuous gradient and the other being partly smooth relative to an active manifold $\mathcal{M}$. ... More
Model Consistency of Partly Smooth RegularizersMay 05 2014Jun 29 2014This paper studies least-square regression penalized with partly smooth convex regularizers. This class of functions is very large and versatile allowing to promote solutions conforming to some notion of low-complexity. Indeed, they force solutions of ... More
Activity Identification and Local Linear Convergence of Forward--Backward-type methodsMar 12 2015Aug 03 2016In this paper, we consider a class of Forward--Backward (FB) splitting methods that includes several variants (e.g. inertial schemes, FISTA) for minimizing the sum of two proper convex and lower semi-continuous functions, one of which has a Lipschitz ... More
Robust Polyhedral RegularizationApr 22 2013In this paper, we establish robustness to noise perturbations of polyhedral regularization of linear inverse problems. We provide a sufficient condition that ensures that the polyhedral face associated to the true vector is equal to that of the recovered ... More