Search results for "Transform"

showing 10 items of 3975 documents

On the global dissipative and multipeakon dissipative behavior of the two-component Camassa-Holm system

2014

Published version of an article in the journal: Abstract and Applied Analysis. Also available from the publisher at: http://dx.doi.org/10.1155/2014/348695 Open Access The global dissipative and multipeakon dissipative behavior of the two-component Camassa-Holm shallow water system after wave breaking was studied in this paper. The underlying approach is based on a skillfully defined characteristic and a set of newly introduced variables which transform the original system into a Lagrangian semilinear system. It is the transformation, together with the associated properties, that allows for the continuity of the solution beyond collision time to be established, leading to a uniquely global d…

Article SubjectSemigroupComponent (thermodynamics)lcsh:MathematicsApplied MathematicsBreaking waveDissipative operatorAnalysis; Applied Mathematicslcsh:QA1-939CollisionVDP::Mathematics and natural science: 400::Mathematics: 410::Analysis: 411Dissipative solitonClassical mechanicsTransformation (function)Dissipative systemAnalysisMathematics
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FastEMD–CCA algorithm for unsupervised and fast removal of eyeblink artifacts from electroencephalogram

2020

Abstract Online detection and removal of eye blink (EB) artifacts from electroencephalogram (EEG) would be very useful in medical diagnosis and brain computer interface (BCI). In this work, approaches that combine unsupervised eyeblink artifact detection with empirical mode decomposition (EMD), and canonical correlation analysis (CCA), are proposed to automatically identify eyeblink artifacts and remove them in an online manner. First eyeblink artifact regions are automatically identified and an eyeblink artifact template is extracted via EMD, which incorporates an alternate interpolation technique, the Akima spline interpolation. The removal of eyeblink artifact components relies on the el…

Artifact (error)Cross-correlationmedicine.diagnostic_testComputer science0206 medical engineeringBiomedical EngineeringWord error rateHealth Informatics02 engineering and technologyElectroencephalography020601 biomedical engineeringHilbert–Huang transform[SPI]Engineering Sciences [physics]03 medical and health sciences0302 clinical medicineSignal ProcessingmedicineSpline interpolationAlgorithm030217 neurology & neurosurgeryInterpolationBrain–computer interfaceBiomedical Signal Processing and Control
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Online detection and removal of eye blink artifacts from electroencephalogram

2021

Abstract The most prominent type of artifact contaminating electroencephalogram (EEG) signals are the eye blink (EB) artifacts, which could potentially lead to misinterpretation of the EEG signal. Online identification and elimination of eye blink artifacts are crucial in applications such a Brain-Computer Interfaces (BCI), neurofeedback, and epilepsy diagnosis. In this paper, algorithms that combine unsupervised eye blink artifact detection (eADA) with modified Empirical Mode Decomposition (FastEMD) and Canonical Correlation Analysis (CCA) are proposed, i.e., FastEMD-CCA2 and FastCCA, to automatically identify eye blink artifacts and remove them in an online setting. The average accuracy, …

Artifact (error)medicine.diagnostic_testComputer sciencebusiness.industryBiomedical EngineeringWord error rateHealth InformaticsPattern recognitionElectroencephalographySignalHilbert–Huang transformSignal ProcessingmedicineArtificial intelligenceSensitivity (control systems)NeurofeedbackbusinessBrain–computer interfaceBiomedical Signal Processing and Control
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Automated and Online Eye Blink Artifact Removal from Electroencephalogram

2019

Eyeblink artifacts often contaminates electroencephalogram (EEG) signals, which could potentially confound EEG's interpretation. A lot offline methods are available to remove this artifact, but an online solution is required to remove eyeblink artifacts in near real time for EEG signal to be beneficial in applications such as brain computer interface, (BCI). In this work, approaches that combines unsupervised eyeblink artifact detection with Empirical Mode Decomposition (EMD) and Canonical Correlation Analysis (CCA) are proposed to automatically identify eyeblink artifacts and remove them in an online setting. The proposed approaches are analysed and evaluated in terms of artifact removal a…

Artifact (error)medicine.diagnostic_testComputer sciencebusiness.industryProcess (computing)Pattern recognition02 engineering and technologyElectroencephalography021001 nanoscience & nanotechnologySignalHilbert–Huang transform03 medical and health sciencesComputingMethodologies_PATTERNRECOGNITION0302 clinical medicinemedicineArtificial intelligence0210 nano-technologyCanonical correlationEye blinkbusiness030217 neurology & neurosurgeryBrain–computer interface2019 IEEE International Conference on Signal and Image Processing Applications (ICSIPA)
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Artificial Neural Networks to correlate Hot Deformation Cooling Rate and Deformation Temperature on Continuous Cooling Transformation of 22MnB5 Steel

2016

The 22MnB5 steel is a hot stamping steel developed with the aim to satisfy the increasing request of the automotive industries to apply materials able to guarantee higher passive safety and weight reduction. The hot stamping process is an innovative forming technique in which the deformations are carried out at elevated temperature and allows to achieve high strength components. The experimental characterization of the material response, at different values of the main variables of process, may result both expensive and time consuming, but the mutual effects evaluation of the deformation parameters and the phase transformations are necessary to produce components within the desired properti…

Artificial Neural Network 22MnB5 Continuous Cooling Transformation Hot Prestrain
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A neural network-based approach to determine FDTD eigenfunctions in quantum devices

2009

This article combines a Neural Network (NN) algorithm with the Finite Difference Time Domain (FDTD) technique to estimate the eigenfunctions in quantum devices. A NN based on the Least Mean Squares (LMS) algorithm is combined with the FDTD technique to provide a first approach to the confined states in quantum wires. The proposed technique is in good agreement with analytical results and is more efficient than FDTD combined with the Fourier Transform. This technique is used to cal- culate a numerical approximation to the eigenfunctions associated to quan- tum wire potentials. The performance and convergence of the proposed technique are also presented in this article. © 2009 Wiley Periodica…

Artificial neural networkComputer scienceFinite-difference time-domain methodEigenfunctionCondensed Matter PhysicsAtomic and Molecular Physics and OpticsElectronic Optical and Magnetic MaterialsLeast mean squares filtersymbols.namesakeFourier transformConvergence (routing)symbolsElectronic engineeringApplied mathematicsElectrical and Electronic EngineeringQuantumMicrowaveMicrowave and Optical Technology Letters
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Logo detection in images using HOG and SIFT

2017

In this paper we present a study of logo detection in images from a media agency. We compare two most widely used methods — HOG and SIFT on a challenging dataset of images arising from a printed press and news portals. Despite common opinion that SIFT method is superior, our results show that HOG method performs significantly better on our dataset. We augment the HOG method with image resizing and rotation to improve its performance even more. We found out that by using such approach it is possible to obtain good results with increased recall and reasonably decreased precision.

Artificial neural networkbusiness.industryComputer scienceHistogramFeature extractionComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISIONScale-invariant feature transformLogoPattern recognitionArtificial intelligencebusinessRotation (mathematics)Object detection2017 5th IEEE Workshop on Advances in Information, Electronic and Electrical Engineering (AIEEE)
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Free Fields for Chiral 2D Dilaton Gravity

1998

We give an explicit canonical transformation which transforms a generic chiral 2D dilaton gravity model into a free field theory.

AstrofísicaPhysicsGravitacióNuclear and High Energy PhysicsGravity (chemistry)Canonical quantizationHigh Energy Physics::LatticeFOS: Physical sciencesCanonical transformationGeneral Relativity and Quantum Cosmology (gr-qc)Free fieldGeneral Relativity and Quantum CosmologyHigh Energy Physics::TheoryGeneral Relativity and Quantum CosmologyGravity model of tradeQuantum gravityDilatonMathematical physics
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Parametric and nonparametric A-Laplace problems: Existence of solutions and asymptotic analysis

2021

We give sufficient conditions for the existence of weak solutions to quasilinear elliptic Dirichlet problem driven by the A-Laplace operator in a bounded domain Ω. The techniques, based on a variant of the symmetric mountain pass theorem, exploit variational methods. We also provide information about the asymptotic behavior of the solutions as a suitable parameter goes to 0 + . In this case, we point out the existence of a blow-up phenomenon. The analysis developed in this paper extends and complements various qualitative and asymptotic properties for some cases described by homogeneous differential operators.

Asymptotic analysisLaplace transformGeneral Mathematics010102 general mathematicsNonparametric statistics01 natural sciencesDirichlet boundary value problem010101 applied mathematicsasymptotic analysisA-Laplace operatorOrlicz-Sobolev spaceSettore MAT/05 - Analisi MatematicaApplied mathematics0101 mathematicsParametric statisticsMathematicsAsymptotic Analysis
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Distributed Consensus in Networks of Dynamic Agents

2006

Stationary and distributed consensus protocols for a network of n dynamic agents under local information is considered. Consensus must be reached on a group decision value returned by a function of the agents' initial state values. As a main contribution we show that the agents can reach consensus if the value of such a function computed over the agents' state trajectories is time invariant. We use this basic result to introduce a protocol design rule allowing consensus on a quite general set of values. Such a set includes, e.g., any generalized mean of order p of the agents' initial states. We demonstrate that the asymptotical consensus is reached via a Lyapunov approach. Finally we perfor…

Asymptotic stability; Distributed consensus protocolsEngineeringMathematical optimizationAsymptotic stabilitybusiness.industryFunction (mathematics)Network topologyUniform consensusComputer Science::Multiagent SystemsLTI system theorySet (abstract data type)Distributed consensus protocolsConsensusExponential stabilityComputer Science::Systems and ControlControl theoryexperimental mechanics Fourier transform load stepping photoelasticityGeneralized meanbusinessProceedings of the 44th IEEE Conference on Decision and Control
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