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Propagating Uncertainty in Multi-Stage Bayesian Convolutional Neural Networks with Application to Pulmonary Nodule DetectionDec 01 2017Motivated by the problem of computer-aided detection (CAD) of pulmonary nodules, we introduce methods to propagate and fuse uncertainty information in a multi-stage Bayesian convolutional neural network (CNN) architecture. The question we seek to answer ... More

Hybrid Maximum Likelihood Modulation Classification Using Multiple RadiosMar 04 2013Jun 11 2013The performance of a modulation classifier is highly sensitive to channel signal-to-noise ratio (SNR). In this paper, we focus on amplitude-phase modulations and propose a modulation classification framework based on centralized data fusion using multiple ... More

Spherical symmetric charged solution with cosmological constantNov 29 2007A spherically symmetric charged ideal fluid solution of Einstein field equation is given in the presence of the cosmological constant and two well known example of this type of solution is presented. If the matter is confined in a region, the exterior ... More

An Alternative Approach to Elliptical MotionMar 25 2015Apr 17 2015Elliptical rotation is the motion of a point on an ellipse through some angle about a vector. The purpose of this paper is to examine the generation of elliptical rotations and to interpret the motion of a point on an elipsoid using elliptic inner product ... More

A 3D Probabilistic Deep Learning System for Detection and Diagnosis of Lung Cancer Using Low-Dose CT ScansFeb 08 2019We introduce a new end-to-end computer aided detection and diagnosis system for lung cancer screening using low-dose CT scans. Our system is based on 3D convolutional neural networks and achieves state-of-the-art performance for both lung nodule detection ... More

Asymptotic Properties of Likelihood Based Linear Modulation Classification SystemsNov 28 2012The problem of linear modulation classification using likelihood based methods is considered. Asymptotic properties of most commonly used classifiers in the literature are derived. These classifiers are based on hybrid likelihood ratio test (HLRT) and ... More

The Role-Relevance Model for Enhanced Semantic Targeting in Unstructured TextApr 20 2018Apr 29 2018Personalized search provides a potentially powerful tool, however, it is limited due to the large number of roles that a person has: parent, employee, consumer, etc. We present the role-relevance algorithm: a search technique that favors search results ... More

Avoiding the Flip Ambiguities in 2D Wireless Sensor Localization by Using Unit Disk Graph PropertyApr 12 2016In this paper, we propose a range-based localization algorithm to localize a wireless sensor network (WSN) in 2D. A widely used algorithm to localize a WSN in 2D is trilateration, which runs in polynomial time. Trilateration uses three distance measurements ... More

Some Aspects of Morris-Thorne Wormhole in Scalar Tensor TheorySep 17 2017Jul 17 2018In this study, we reach the equations of motion of Morris-Thorne wormhole geometry by means of the Einstein Field Equations and Klein-Gordon Equation of Scalar-Tensor theory by direct calculation. We discuss the anisotropic matter energy distribution. ... More

Exploiting Coplanar Clusters to Enhance 3D Localization in Wireless Sensor NetworksFeb 26 2015Mar 08 2015This thesis studies range-based WSN localization problem in 3D environments that induce coplanarity. In most real-world applications, even though the environment is 3D, the grounded sensor nodes are usually deployed on 2D planar surfaces. Examples of ... More

Uniqueness of planar tangent maps in the modified Ericksen modelJun 13 2017Oct 14 2018We prove the uniqueness of homogeneous blow-up limits of maps minimizing the modified Ericksen energy for nematic liquid crystals in a planar domain. The proof is based on the Weiss monotonicity formula, and a blow-up argument, originally due to Allard ... More

Learning Mixtures of Ising Models using PseudolikelihoodJun 08 2015Maximum pseudolikelihood method has been among the most important methods for learning parameters of statistical physics models, such as Ising models. In this paper, we study how pseudolikelihood can be derived for learning parameters of a mixture of ... More

Axes-parallel unit disk graph recognition is NP-hardNov 24 2018Nov 30 2018Unit disk graphs are the intersection graphs of unit diameter disks in the Euclidean plane. Recognizing unit disk graph is an important geometric problem, and has many application areas. In general, this problem is shown to be $\exists\mathbb{R}$-complete. ... More

Stochastic Integral Operator Model for IS, US and WSSUS ChannelsSep 30 2016In this article, we proved that, under weak and natural requirements, uncorrelated scattering (in particular WSSUS) channels can be modeled as stochastic integrals. Moreover, if we assume (not only uncorrelated but also) independent scattering, then the ... More

Extremal Aging For Trap ModelsDec 04 2013In the seminal work [5], Ben Arous and \v{C}ern\'y give a general characterization of aging for trap models in terms of $\alpha$-stable subordinators with $\alpha \in (0,1)$. Some of the important examples that fall into this universality class are Random ... More

Rectifiability of line defects in liquid crystals with variable degree of orientationJun 08 2017Oct 27 2017In [AHL] Hardt, Lin and the author proved that the defect set of minimizers of the modified Ericksen energy for nematic liquid crystals consists locally of a finite union of isolated points and H\"older continuous curves with finitely many crossings. ... More

On the singular set of free interface in an optimal partition problemMay 08 2018We study the singular set of free interface in an optimal partition problem for the Dirichlet eigenvalues. We prove that its upper $(n-2)$-dimensional Minkowski content, and consequently, its $(n-2)$-dimensional Hausdorff measure are locally finite. We ... More

On Razzaboni Transformation of Surfaces in Minkowski 3-SpaceMar 22 2015In this paper, we investigate the surfaces generated by binormal motion of Bertrand curves, which is called Razzaboni surface, in Minkowski 3-space. We discussed the geometric properties of these surfaces in M^3 according to the character of Bertrand ... More

A New Iterative Projection Method for Approximating Fixed Point Problems and Variational Inequality ProblemsMar 13 2014May 21 2014In this paper, we introduce and study a new extragradient iterative process for finding a common element of the set of fixed points of an infinite family of nonexpansive mappings and the set of solutions of a variational inequality for an inverse strongly ... More

De- Moivre's and Euler Formulas for Matrices of Split QuaternionsMar 13 2015In this paper, real matrix representations of split quaternions are examined in terms of the casual character of quaternion. Then, we give De-Moivre' s formula for real matrices of timelike and spacelike split quaternions, separately. Finally, we state ... More

Strong convergence with a modified iterative projection method for hierarchical fixed point problems and variational inequalitiesMar 13 2014This paper deals with a modified iterative projection method for approximating a solution of the hierarchical fixed point problem for a sequene of nearly nonexpansive mappings with respect to a nonexpansive mapping. It is shown that under certain approximate ... More

Convergence Theorems for Hierarchical Fixed Point Problems and Variational InequalitiesMar 14 2014This paper deals with a modifed iterative projection method for approximating a solution of hierarchical fixed point problems for nearly nonexpansive mappings. Some strong convergence theorems for the proposed method are presented under certain approximate ... More

Group Operation on Nodal CurvesApr 08 2019In this work, we present an efficient method for computing in the Generalized Jacobian of special singular curves. The efficiency of the operation is due to representation of an element in the Jacobian group by a single polynomial.

Permutation Trellis Coded Multi-level FSK Signaling to Mitigate Primary User Interference in Cognitive Radio NetworksJul 11 2014Dec 12 2014We employ Permutation Trellis Code (PTC) based multi-level Frequency Shift Keying signaling to mitigate the impact of Primary Users (PUs) on the performance of Secondary Users (SUs) in Cognitive Radio Networks (CRNs). The PUs are assumed to be dynamic ... More

A High-Throughput Energy-Efficient Implementation of Successive-Cancellation Decoder for Polar Codes Using Combinational LogicDec 11 2014Jan 11 2016This paper proposes a high-throughput energy-efficient Successive Cancellation (SC) decoder architecture for polar codes based on combinational logic. The proposed combinational architecture operates at relatively low clock frequencies compared to sequential ... More

Power Control for Two User Cooperative OFDMA ChannelsJul 26 2012For a two user cooperative orthogonal frequency division multiple access (OFDMA) system with full channel state information (CSI), we obtain the optimal power allocation (PA) policies which maximize the rate region achievable by a channel adaptive implementation ... More

Privacy, Secrecy, and Storage with Multiple Noisy Measurements of IdentifiersJan 25 2016Apr 30 2018The key-leakage-storage region is derived for a generalization of a classic two-terminal key agreement model. The additions to the model are that the encoder observes a hidden, or noisy, version of the identifier, and that the encoder and decoder can ... More

Aging in the GREM-like trap modelJan 13 2015The GREM-like trap model is a continuous time Markov jump process on the leaves of a finite volume $L$-level tree whose transition rates depend on a trapping landscape built on the vertices of the whole tree. We prove that the natural two-time correlation ... More

Robust Camera Location Estimation by Convex ProgrammingNov 29 2014Jun 04 2015$3$D structure recovery from a collection of $2$D images requires the estimation of the camera locations and orientations, i.e. the camera motion. For large, irregular collections of images, existing methods for the location estimation part, which can ... More

A Sign-Based Phrase Structure Grammar for TurkishAug 26 1996Aug 28 1996This study analyses Turkish syntax from an informational point of view. Sign based linguistic representation and principles of HPSG (Head-driven Phrase Structure Grammar) theory are adapted to Turkish. The basic informational elements are nested and inherently ... More

DNA Replication via Entanglement SwappingAug 26 2010Mar 31 2011Quantum effects are mainly used for the determination of molecular shapes in molecular biology, but quantum information theory may be a more useful tool to understand the physics of life. Organic molecules and quantum circuits/protocols can be considered ... More

Morphological Productivity in the LexiconAug 23 1996In this paper we outline a lexical organization for Turkish that makes use of lexical rules for inflections, derivations, and lexical category changes to control the proliferation of lexical entries. Lexical rules handle changes in grammatical roles, ... More

The existence and location of eigenvalues of the one particle discrete Schroedinger operatorsMay 14 2015We consider a quantum particle moving in the one dimensional lattice Z and interacting with a indefinite sign external field v. We prove that the associated discrete Schroedinger operator H can have one or two eigenvalues, situated as below the bottom ... More

The stochastic encounter-mating modelAug 21 2014May 08 2015We propose a new model of permanent monogamous pair formation in zoological populations comprised of k types of females and males, which unifies and generalizes the encounter-mating models of Gimelfarb (1988). In our model, animals randomly encounter ... More

Construction of a surface pencil with a common special surface curveFeb 26 2016In this study, we introduce a new type of surface curves called D-type curve. This curve is defined by the property that the unit Darboux vector W0 of a space curve r(s) and unit surface normal n1 along the curve r(s) satisfy the condition <n1,W0>=constant. ... More

Persistence of Chaos in Coupled Lorenz SystemsOct 07 2016The dynamics of unidirectionally coupled chaotic Lorenz systems is investigated. It is revealed that chaos is present in the response system regardless of generalized synchronization. The presence of sensitivity is theoretically proved, and the auxiliary ... More

Long-term evolution of anomalous X-ray pulsars and soft gamma repeatersJan 28 2016We have investigated the long-term evolution of individual anomalous X-ray pulsars (AXPs) and soft gamma repeaters (SGRs) with relatively well constrained X-ray luminosity and rotational properties. In the frame of the fallback disc model, we have obtained ... More

Entanglement Swapping Model of DNA ReplicationDec 30 2010Dec 25 2011Molecular biology explains function of molecules by their geometrical and electronical structures that are mainly determined by utilization of quantum effects in chemistry. However, further quantum effects are not thought to play any significant role ... More

The stochastic encounter-mating modelAug 21 2014Nov 04 2016We propose a new model of permanent monogamous pair formation in zoological populations with multiple types of females and males. According to this model, animals randomly encounter members of the opposite sex at their so-called firing times to form temporary ... More

Connecting Dream Networks Across CulturesFeb 10 2014Many species dream, yet there remain many open research questions in the study of dreams. The symbolism of dreams and their interpretation is present in cultures throughout history. Analysis of online data sources for dream interpretation using network ... More

On the Wiener disorder problemOct 22 2010In the Wiener disorder problem, the drift of a Wiener process changes suddenly at some unknown and unobservable disorder time. The objective is to detect this change as quickly as possible after it happens. Earlier work on the Bayesian formulation of ... More

The Processing Using Memory Paradigm:In-DRAM Bulk Copy, Initialization, Bitwise AND and OROct 30 2016In existing systems, the off-chip memory interface allows the memory controller to perform only read or write operations. Therefore, to perform any operation, the processor must first read the source data and then write the result back to memory after ... More

New Inequalities for Hermite-Hadamard and Simpson Type and ApplicationsMar 10 2011In this paper, we obtain new bounds for the inequalities of Simpson and Hermite-Hadamard type for functions whose second derivatives absolute values are P-convex. These bounds can be much better than some obtained bounds. Some applications for special ... More

Scalable Gaussian Processes for Supervised HashingApr 25 2016We propose a flexible procedure for large-scale image search by hash functions with kernels. Our method treats binary codes and pairwise semantic similarity as latent and observed variables, respectively, in a probabilistic model based on Gaussian processes ... More

A new generalization of the midpoint formula for n-time differentiable mappings which are convexApr 21 2014In this paper, we establish several new inequalities for n- time differentiable mappings that are connected with the celebrated Hermite-Hadamard integral inequality.

Motion of charged particles around a rotating black hole in a magnetic fieldAug 09 2002We study the effects of an external magnetic field, which is assumed to be uniform at infinity, on the marginally stable circular motion of charged particles in the equatorial plane of a rotating black hole. We show that the magnetic field has its greatest ... More

An integral-equation method using interstitial currents devoted to the analysis of multilayered periodic structures with complex inclusionsAug 17 2014An efficient surface integral equation-based method is proposed for the analysis of electromagnetic scattering from multilayered media containing complex periodic inclusions. The proposed method defines equivalent currents at the interfaces between layers ... More

Homoclinical Structure of Dynamic Equations on Time ScalesJan 19 2016Homoclinic and heteroclinic motions in dynamics equations on time scales is investigated. The utilized time scale is a specific one such that it is a union of disjoint compact intervals. A numerical example that supports the theoretical results is presented. ... More

A study on Marangoni convection by the variational iteration methodMar 08 2012In this letter, we will consider the use of the variational iteration method and Pad\'e approximant for finding approximate solutions for a Marangoni convection induced flow over a free surface due to an imposed temperature gradient. The solutions are ... More

Power Control for User CooperationJan 30 2006For a fading Gaussian multiple access channel with user cooperation, we obtain the optimal power allocation policies that maximize the rates achievable by block Markov superposition coding. The optimal policies result in a coding scheme that is simpler ... More

Fluid and diffusion limits for the Poisson encounter-mating modelNov 26 2014Stochastic encounter-mating (SEM) models describe monogamous permanent pair formation in finite zoological populations of multitype females and males. In this article we study SEM with Poisson firing times. We prove that an infinite population corresponds ... More

Charged lepton electric dipole moments with the localized leptons and the new Higgs doublet in the two Higgs doublet modelNov 20 2005Apr 30 2007We study the lepton electric dipole moments in the split fermion scenario, in the two Higgs doublet model, where the new Higgs scalars are localized around the origin in the extra dimension, with the help of the localizer field. We observe that the numerical ... More

Fluid limit for the Poisson encounter-mating modelNov 26 2014Nov 18 2016Stochastic encounter-mating (SEM) models describe monogamous permanent pair formation in finite zoological populations of multitype females and males. In this article, we study SEM with Poisson firing times. First, we prove that the model enjoys a fluid ... More

Darboux Slant Ruled SurfacesNov 04 2013In this study, we introduce Darboux slant ruled surfaces in the Euclidean 3-space which is defined by the property that the Darboux vector of orthonormel frame of ruled surface makes a constant angle with a fixed, non-zero direction. We obtain the characterizations ... More

Learning to Repair Software Vulnerabilities with Generative Adversarial NetworksMay 18 2018Oct 28 2018Motivated by the problem of automated repair of software vulnerabilities, we propose an adversarial learning approach that maps from one discrete source domain to another target domain without requiring paired labeled examples or source and target domains ... More

An annotation based approach to support design communicationNov 15 2007The aim of this paper is to propose an approach based on the concept of annotation for supporting design communication. In this paper, we describe a co-operative design case study where we analyse some annotation practices, mainly focused on design minutes ... More

Testing a Dilaton Gravity Model using NucleosynthesisOct 23 2013Sep 05 2014Big Bang Nucleosynthesis (BBN) offers one of the most strict evidences for the Lambda-CDM cosmology at present, as well as the Cosmic Microwave Background (CMB) radiation. In this work, our main aim is to present the outcomes of our calculations related ... More

Finding Planted Subgraphs with Few Eigenvalues using the Schur-Horn RelaxationMay 12 2016Extracting structured subgraphs inside large graphs - often known as the planted subgraph problem - is a fundamental question that arises in a range of application domains. This problem is NP-hard in general, and as a result, significant efforts have ... More

Existence of Unpredictable Solutions and ChaosFeb 08 2016In paper [1] unpredictable points were introduced based on Poisson stability, and this gives rise to the existence of chaos in the quasi-minimal set. This time, an unpredictable function is determined as an unpredictable point in the Bebutov dynamical ... More

Unpredictable Points and ChaosJan 31 2016It is revealed that a special kind of Poisson stable point, which we call an unpredictable point, gives rise to the existence of chaos in the quasi-minimal set. The existing definitions of chaos are formulated in sets of motions. This is the first time ... More

Morphogenesis of ChaosMay 05 2012Morphogenesis, as it is understood in a wide sense by Ren\'e Thom, is considered for various types of chaos. That is, those, obtained by period-doubling cascade, Devaney's and Li-Yorke chaos. Moreover, in discussion form we consider inheritance of intermittency, ... More

Unpredictable solutions of differential equationsNov 15 2016We apply the topology of convergence on compact sets to define unpredictable functions [5, 6]. The topology is metrizable and easy for applications with integral operators. To demonstrate the effectiveness of the approach, the existence and uniqueness ... More

Extension of Lorenz UnpredictabilitySep 03 2015It is found that Lorenz systems can be unidirectionally coupled such that the chaos expands from the drive system. This is true if the response system is not chaotic, but admits a global attractor, an equilibrium or a cycle. The extension of sensitivity ... More

Li-Yorke chaos in hybrid systems on a time scaleMay 17 2015Sep 04 2015By using the reduction technique to impulsive differential equations [1], we rigorously prove the presence of chaos in dynamic equations on time scales (DETS). The results of the present study are based on the Li-Yorke definition of chaos. This is the ... More

Angle-resolved X-ray photoemission electron microscopyDec 27 2012Synchrotron based photoemission electron microscopy with energy filter combines real space imaging with microprobe diffraction ($\mu$-ARPES), giving access to the local electronic structure of laterally inhomogeneous materials. We present here an overview ... More

RowHammer: A RetrospectiveApr 22 2019This retrospective paper describes the RowHammer problem in Dynamic Random Access Memory (DRAM), which was initially introduced by Kim et al. at the ISCA 2014 conference~\cite{rowhammer-isca2014}. RowHammer is a prime (and perhaps the first) example of ... More

Fractional Integral Inequalities via s-Convex FunctionsJan 24 2012In this paper, we establish several inequalities for s-convex mappings that are connected with the Riemann-Liouville fractional integrals. Our results have some relationships with certain integral inequalities in the literature.

Temporal and Spatial Characteristics of mmWave Propagation Channels for UAVsMar 22 2018May 25 2018Unmanned aerial vehicles~(UAVs) are envisioned to be an integral part of future 5G communication systems. The agile nature of UAVs for serving users at different locations can help to dynamically optimize coverage and quality-of-service (QoS) in future ... More

Weak Measurements and Counterfactual ComputationDec 19 2006Vaidman, in a recent article adopts the method of 'quantum weak measurements in pre- and postselected ensembles' to ascertain whether or not the chained-Zeno counterfactual computation scheme proposed by Hosten et al. is counterfactual; which has been ... More

Predicting Diffusion Reach Probabilities via Representation Learning on Social NetworksJan 12 2019Diffusion reach probability between two nodes on a network is defined as the probability of a cascade originating from one node reaching to another node. An infinite number of cascades would enable calculation of true diffusion reach probabilities between ... More

Poincaré chaos and unpredictable functionsAug 25 2016The results of this study are continuation of the research of Poincar\'e chaos initiated in papers (Akhmet M, Fen MO. Commun Nonlinear Sci Numer Simulat 2016;40:1-5; Akhmet M, Fen MO. Turk J Math, doi:10.3906/mat-1603-51, accepted). We focus on the construction ... More

Convex Graph Invariant Relaxations For Graph Edit DistanceApr 18 2019The edit distance between two graphs is a widely used measure of similarity that evaluates the smallest number of vertex and edge deletions/insertions required to transform one graph to another. It is NP-hard to compute in general, and a large number ... More

Supervised Incremental HashingApr 25 2016Jun 09 2016We propose an incremental strategy for learning hash functions with kernels for large-scale image search. Our method is based on a two-stage classification framework that treats binary codes as intermediate variables between the feature space and the ... More

Vacuum Fluctuations of a massless spin-1/2 field around multiple cosmic stringsMar 12 1998We study the interaction of a massless quantized spinor field with the gravitational filed of N parallel static cosmic strings by using a perturbative approach. We show that the presence of more than one cosmic string gives rise to an additional contribution ... More

A necessary and sufficient condition to play games in quantum mechanical settingsMar 01 2007Quantum game theory is a multidisciplinary field which combines quantum mechanics with game theory by introducing non-classical resources such as entanglement, quantum operations and quantum measurement. By transferring two-player-two strategy (2x2) dilemma ... More

Tunable add-drop filter using an active whispering gallery mode microcavityAug 30 2013An add-drop filter (ADF) fabricated using a whispering gallery mode resonator has different crosstalks for add and drop functions due to non-zero intrinsic losses of the resonator. Here, we show that introducing gain medium in the resonator and optically ... More

Optical Detection of Single Nanoparticles with a Sub-wavelength Fiber-TaperMay 30 2013A nanoparticle detection scheme with single particle resolution is presented. The sensor contains only a taper fiber thus offering the advantages of compactness and installation flexibility. Sensing method is based on monitoring the transmitted light ... More

New Estimates on Integral Inequalities and Their ApplicationsJul 07 2012Dec 02 2012In this paper, we obtain some inequalities by using a kernel and an inequality which is a result of Young inequality. Besides we give some applications to special means.

On new general integral inequalities for s-convex functionsApr 03 2014In this paper, the authors establish some new estimates for the remainder term of the midpoint, trapezoid, and Simpson formula using functions whose derivatives in absolute value at certain power are s-convex. Some applications to special means of real ... More

Hermite-Hadamard-type inequalities for (g,Φ_{h})- convex dominated functionsAug 05 2012In this paper, we introduce the notion of (g,\Phi_{h})-convex dominated function and present some properties of them. Finally, we present a version of Hermite-Hadamard-type inequalities for (g,\Phi_{h})-convex dominated functions. Our results generalize ... More

Infrared light detection using a whispering-gallery-mode optical microcavityMar 06 2014We demonstrate a thermal infrared (IR) detector based on an ultra-high-quality-factor (Q) whispering-gallery-mode (WGM) microtoroidal silica resonator, and investigate its performance to detect IR radiation at 10 micron wavelength. The bandwidth and the ... More

On the Hadamard type inequalities involving product of two convex functions on the co-ordinatesSep 21 2010Apr 28 2011In this paper some Hadamard_type inequalities for product of convex functions of 2-variables on the co-ordinates are given.

On Some Hadamard-Type Inequalities for Convex Functions On A Rectanguler BoxMar 31 2011In this paper some Hadamard-type inequalities for convex functions of 3-variables on a rectanguler box are given. We also define a mapping related to convex functions on a rectanguler box.

Hermite-hadamard-type inqualities for new different kinds of convex dominated functionsFeb 09 2012In this paper, we establish several new convex dominated functions and then we obtain new Hadamard type inequalities.

An Explicit Formula of the Intrinsic Metric on the Sierpinski Gasket via Code RepresentationSep 27 2016The computation of the distance between any two points of the Sierpinski Gasket with respect to the intrinsic metric has already been investigated by several authors. In the literature there is not an explicit formula using the code space of the Sierpinski ... More

Einstein-Cartan-Dirac Theory in (1+2)-DimensionsFeb 04 2010Einstein-Cartan theory is formulated in (1+2)-dimensions using the algebra of exterior differential forms. A Dirac spinor is coupled to gravity and the field equations are obtained by a variational principle. The space-time torsion is found to be given ... More

Learn the new, keep the old: Extending pretrained models with new anatomy and imagesJun 01 2018Deep learning has been widely accepted as a promising solution for medical image segmentation, given a sufficiently large representative dataset of images with corresponding annotations. With ever increasing amounts of annotated medical datasets, it is ... More

Some Hadamard-Type Inequalities for Coordinated P-Convex Functions and Godunova-Levin FunctionsDec 29 2010Mar 24 2011In this paper we established new Hadamard-type inequalities for functions that co-ordinated Godunova-Levin functions and co-ordinated P-convex functions, therefore we proved a new inequality involving product of convex functions and P-functions on the ... More

On Hadamard-Type Inequalities for Co--ordinated r-Convex FunctionsSep 21 2010Dec 10 2010In this paper we defined $r-$convexity on the coordinates and we established some Hadamard-Type Inequalities.

On Some New Generalized Difference Sequence Spaces of Non-Absolute TypeSep 16 2013In this study, we define a new triangle matrix $\hat{W}=\{w_{nk}^{\lambda}(r,s,t)\}$ which derived by using multiplication of $\lambda=(\lambda_{nk})$ triangle matrix with $B(r,s,t)$ triple band matrix. Also, we introduce the sequence spaces $c_{0}^{\lambda}(\hat{B}),c^{\lambda}(\hat{B}),\ell_{\infty}^{\lambda}(\hat{B})$ ... More

Some new general integral inequalities for P-functionsApr 30 2014In this paper, we derive new estimates for the remainder term of the midpoint, trapezoid, and Simpson formulae for functions whose derivatives in absolute value at certain power are P-functions. Some applications to special means of real numbers are also ... More

Automated Vulnerability Detection in Source Code Using Deep Representation LearningJul 11 2018Nov 28 2018Increasing numbers of software vulnerabilities are discovered every year whether they are reported publicly or discovered internally in proprietary code. These vulnerabilities can pose serious risk of exploit and result in system compromise, information ... More

Comments on "Bayesian Solution Uncertainty Quantification for Differential Equations" by Chkrebtii, Campbell, Calderhead & GirolamiOct 21 2016We commend the authors for an exciting paper which provides a strong contribution to the emerging field of probabilistic numerics (PN). Below, we discuss aspects of prior modelling which need to be considered thoroughly in future work.

Synchronization over Cartan motion groups via contractionNov 30 2016Group contraction is an algebraic map that relates two classes of Lie groups by a limiting process. We utilize this notion for the compactification of the class of Cartan motion groups. The compactification process is then applied to reduce a non-compact ... More

An Analytical Model for Performance and Lifetime Estimation of Hybrid DRAM-NVM Main MemoriesMar 24 2019NVMs have promising advantages (e.g., lower idle power, higher density) over the existing predominant main memory technology, DRAM. Yet, NVMs also have disadvantages (e.g., limited endurance). System architects are therefore examining hybrid DRAM-NVM ... More

Parabolic Anderson model with a finite number of moving catalystsOct 23 2010Mar 23 2011We consider the parabolic Anderson model (PAM) which is given by the equation $\partial u/\partial t = \kappa\Delta u + \xi u$ with $u\colon\, \Z^d\times [0,\infty)\to \R$, where $\kappa \in [0,\infty)$ is the diffusion constant, $\Delta$ is the discrete ... More

A pulsed Sagnac source of narrowband polarization-entangled photonsOct 29 2007Feb 04 2008We demonstrate pulsed operation of a bidirectionally pumped polarization Sagnac interferometric down-conversion source and its generation of narrowband, high-visibility polarization-entangled photons. Driven by a narrowband, mode-locked pump at 390.35 ... More

Optimizing the Information Retrieval Trade-off in Data Visualization Using $α$-DivergenceMay 21 2015Mar 29 2016Data visualization is one of the major applications of nonlinear dimensionality reduction. From the information retrieval perspective, the quality of a visualization can be evaluated by considering the extent that the neighborhood relation of each data ... More

All-optical mode conversion via spatially-multimode four-wave mixingAug 03 2016We experimentally demonstrate the conversion of a Gaussian beam to an approximate Bessel-Gauss mode by making use of a non-collinear four-wave mixing process in hot atomic vapor. The presence of a strong, spatially non-Gaussian pump both converts the ... More

Moment asymptotics for branching random walks in random environmentAug 01 2012We consider the long-time behaviour of a branching random walk in random environment on the lattice $\Z^d$. The migration of particles proceeds according to simple random walk in continuous time, while the medium is given as a random potential of spatially ... More