Search results for "HM"

showing 10 items of 10594 documents

The Radon-Wigner Transform and Its Application to First-order Optical Systems

2009

The Radon-Wigner transform is presented as a tool for the description of 1st-order optical systems. The input/output relationships for this phase-space representation are obtained and their application in analysis and design tasks is pointed out.

symbols.namesakeFourier transformComputer scienceHartley transformComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONsymbolsShort-time Fourier transformHarmonic wavelet transformS transformAlgorithmConstant Q transformDiscrete Fourier transformFractional Fourier transformFrontiers in Optics 2009/Laser Science XXV/Fall 2009 OSA Optics & Photonics Technical Digest
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THE ARITHMETIC BOHR RADIUS

2007

We study the arithmetic Bohr radius of Reinhardt domains in ℂ n which was successfully used in our study of monomial expansions for holomorphic functions in infinite dimensions. We show that this new Bohr radius is different from the radii invented by Boas and Khavinson and Aizenberg. It gives an explicit formula for the n-dimensional hypercone (which means n-dimensional variants of classical results of Bohr and Bombieri), and moreover asymptotically corrects upper and lower estimates for various types of convex and non-convex Reinhardt domains.

symbols.namesakeMonomialMathematics::Complex VariablesGeneral MathematicssymbolsRegular polygonHolomorphic functionHyperconeArithmeticBohr radiusBohr modelMathematicsThe Quarterly Journal of Mathematics
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Improved Quadratic Time-frequency Distributions for Detecting Inter-turn Short Circuits of PMSMs in Transient States

2020

This paper aims to improve quadratic time-frequency distributions to adapt condition monitoring of electrical machines in transient states. Short-Time Fourier transform (STFT) has been a baseline signal processing technique for detecting fault characteristic frequencies. However, limits of window sizes due to loss of frequency- or time-resolution, make it hard to capture rapid changes in frequencies. Within this study, Choi-Williams and Wigner-Ville distributions are proposed to effectively detect peaks at characteristic frequencies while still maintaining low computation time. The improved quadratic time-frequency distributions allow for generating spectrograms of a longer lasting data sig…

symbols.namesakeSignal processingFourier transformQuadratic equationComputer scienceShort-time Fourier transformsymbolsCondition monitoringSpectrogramTransient (oscillation)AlgorithmVDP::Teknologi: 500::Elektrotekniske fag: 540Time–frequency analysis
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Application of Periodic Frames to Image Restoration

2014

In this chapter, we present examples of image restoration using periodic frames. Images to be restored were degraded by blurring, aggravated by random noise and random loss of significant number of pixels. The images are transformed by periodic frames designed in Sects. 17.2 and 17.4, which are extended to the 2D setting in a standard tensor product way. In the presented experiments, performances of different tight and semi-tight frames are compared between each other in identical conditions.

symbols.namesakeTensor productPixelComputer scienceTight frameRandom noiseRandom lossGaussian functionsymbolsAlgorithmInfinite impulse responseImage restoration
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How to Improve the Reliability of Chord?

2008

In this paper we focus on Chord P2P protocol and we study the process of unexpected departures of nodes from this system. Each of such departures may effect in losing any information and in classical versions of this protocol the probability of losing some information is proportional to the quantity of information put into this system. This effect can be partially solved by gathering in the protocol multiple copies (replicas) of information. The replication mechanism was proposed by many authors. We present a detailed analysis of one variant of blind replication and show that this solution only partially solves the problem. Next we propose two less obvious modifications of the Chord protoco…

symbols.namesakeTheoretical computer scienceSource codemedia_common.quotation_subjectComputerSystemsOrganization_COMPUTER-COMMUNICATIONNETWORKSHash functionsymbolsPareto distributionChord (peer-to-peer)Algorithmmedia_commonMathematics
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A comparison between two feature selection algorithms

2017

This article provides a comparison of two feature selection algorithms, Information Gain Thresholding and Koller and Sahami's algorithm in the context of text document classification on the Reuters Corpus Volume 1 dataset. The algorithms were evaluated by testing the performance of classifiers trained on the features they select from a given dataset. Results show that Koller and Sahami's algorithm consistently outperforms Information Gain Thresholding by capturing interactions between features and avoiding redundancy among features, although it achieves its gains through increased complexity and longer running time.

symbols.namesakeTruncation selectionRedundancy (information theory)Computer scienceFeature extractionsymbolsMarkov processFeature selectionAlgorithm designThresholdingAlgorithmRunning time2017 21st International Conference on System Theory, Control and Computing (ICSTCC)
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Errors Generated by Uncertain Data

2014

In this chapter, we study effects caused by incompletely known data. In practice, the data are never known exactly, therefore the results generated by a mathematical model also have a limited accuracy. Then, the whole subject of error analysis should be treated in a different manner, and accuracy of numerical solutions should be considered within a framework of a more complicated scheme, which includes such notions as maximal and minimal distances to the solution set and its radius.

symbols.namesakeUncertain dataError analysisDirichlet boundary conditionScheme (mathematics)Subject (grammar)symbolsSolution setApplied mathematicsLogarithmic derivativeRadiusMathematics
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Computing variations of entropy and redundancy under nonlinear mappings not preserving the signal dimension: quantifying the efficiency of V1 cortex

2021

In computational neuroscience, the Efficient Coding Hypothesis argues that the neural organization comes from the optimization of information-theoretic goals [Barlow Proc.Nat.Phys.Lab.59]. A way to confirm this requires the analysis of the statistical performance of biological systems that have not been statistically optimized [Renart et al. Science10, Malo&Laparra Neur.Comp.10, Foster JOSA18, Gomez-Villa&Malo J.Neurophysiol.19]. However, when analyzing the information-theoretic performance, cortical magnification in the retina-cortex pathway poses a theoretical problem. Cortical magnification stands for the increase the signal dimensionality [Cowey&Rolls Exp. Brain Res.74]. Conventional mo…

symbols.namesakeWaveletRedundancy (information theory)Dimension (vector space)Computer scienceJacobian matrix and determinantsymbolsEntropy (information theory)Total correlationEfficient coding hypothesisAlgorithmCurse of dimensionalityProceedings of Entropy 2021: The Scientific Tool of the 21st Century
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Multidomain SBEM analysis for two dimensionalelastoplastic-contact problems

2012

The Symmetric Boundary Element Method based on the Galerkin hypotheses has found application in the nonlinear analysis of plasticity and contact-detachment problems, but dealt with separately. In this paper we wants to treat these complex phenomena together. This method works in structures by introducing a subdivision into sub-structures, distinguished into macroelements, where elastic behaviour is assumed, and bem-elements, where it is possible for plastic strains to occur. In all the sub-structures, elasticity equations are written and regularity conditions in weighted (weak) form and/or in nodal (strong) form between boundaries have to be introduced, to attain the solving equation system.

symmetric BEM elastoplasticity contact-detachment substructuring
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Efficacy of the cloud computing technology in the management of communications and business processes of the companies

2016

W artykule zbadano tendencje rozwoju i stosowania różnych klas systemów informatycznych w zarządzaniu w relacji do rodzajów procesów biznesowych. Zaprezentowano krótki przegląd aktualnego stanu wykorzystania technologii chmury obliczeniowej na świecie i na Ukrainie. Korzyści wynikające z zastosowania modelu "SaaS - Software as a Service" zostały wyjaśnione na przykładzie innowacji międzynarodowego projektu "Bitrix 24", w którym zrealizowane zostały główne cele systemów CRM w połączeniu z szerokimi możliwościami koordynacji procesów komunikacyjnych i biznesowych nowoczesnych firm. Projekt ten został przetłumaczony na większość języków europejskich i wykorzystuje narzędzia społecznego środowi…

systemy CRMCRMsystemscloud computing technologiesspołeczny Intranetcommunicationssocial Intranetzarządzanie procesami biznesowymikomunikacjasystemy ERPERP-systemsbusiness processes managementtechnologie chmury obliczeniowejPolish Journal of Management Studies
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