Search results for "least square"

showing 10 items of 286 documents

Nonlinear Distribution Regression for Remote Sensing Applications

2020

In many remote sensing applications, one wants to estimate variables or parameters of interest from observations. When the target variable is available at a resolution that matches the remote sensing observations, standard algorithms, such as neural networks, random forests, or the Gaussian processes, are readily available to relate the two. However, we often encounter situations where the target variable is only available at the group level, i.e., collectively associated with a number of remotely sensed observations. This problem setting is known in statistics and machine learning as multiple instance learning (MIL) or distribution regression (DR). This article introduces a nonlinear (kern…

Signal Processing (eess.SP)FOS: Computer and information sciencesComputer Science - Machine LearningArtificial neural networkRemote sensing applicationComputer science0211 other engineering and technologies02 engineering and technologyLeast squaresRandom forestMachine Learning (cs.LG)Kernel (linear algebra)symbols.namesakeKernel (statistics)symbolsFOS: Electrical engineering electronic engineering information engineeringGeneral Earth and Planetary SciencesElectrical Engineering and Systems Science - Signal ProcessingElectrical and Electronic EngineeringGaussian processAlgorithm021101 geological & geomatics engineeringCurse of dimensionalityIEEE Transactions on Geoscience and Remote Sensing
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Spectrum cartography using adaptive radial basis functions: Experimental validation

2017

In this paper, we experimentally validate the functionality of a developed algorithm for spectrum cartography using adaptive Gaussian radial basis functions (RBF). The RBF are strategically centered around representative centroid locations in a machine learning context. We assume no prior knowledge about neither the power spectral densities (PSD) of the transmitters nor their locations. Instead, the received signal power at each location is estimated as a linear combination of different RBFs. The weights of the RBFs, their Gaussian decaying parameters and locations are jointly optimized using expectation maximization with a least squares loss function and a quadratic regularizer. The perfor…

Signal processingComputer scienceGaussianCentroid020206 networking & telecommunicationsContext (language use)02 engineering and technologyComputer Science::Computational GeometryLeast squaresComputer Science::Numerical Analysissymbols.namesakeExpectation–maximization algorithm0202 electrical engineering electronic engineering information engineeringsymbolsRadial basis functionLinear combinationCartography
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P300-based brain computer interface experimental setup

2009

A Brain-Computer interface (BCI) is a communication system that enables the generation of a control signal from brain signals such as sensorymotor rhythms and evoked potentials; therefore, it constitutes a novel communication option for people with severe motor disabilities (such as Amyotrophic Lateral Sclerosis patients). This paper presents the development of a P300-based BCI. This prototype uses a homemade six-channel electroencephalograph for the acquisition of the signals, and a visual stimulation matrix; since this matrix contains letters of the alphabet as well as images associated to them, it permits word-writing and the elaboration of messages with the images. To process the signal…

Signal processingmedicine.diagnostic_testComputer scienceSpeech recognitionInterface (computing)BrainReproducibility of ResultsElectroencephalographyElectroencephalographyLinear discriminant analysisEvent-Related Potentials P300Sensitivity and SpecificityLeast squaresUser-Computer InterfacePattern Recognition VisualmedicineAlgorithmsVisual CortexBrain–computer interface2009 Annual International Conference of the IEEE Engineering in Medicine and Biology Society
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A spectroscopic method for determining lignin content of softwood and hardwood kraft pulps

1998

Abstract A rapid method for determining the kappa number of unbleached and oxygen-delignified kraft pulps in the range 3–35 is presented. This novel method was based on the multivariate analysis of VIS spectral data on pulp samples. The calculated models and the test results indicated that partial least squares (PLS) and principal component regression (PCR) models yielded similar results, PLS being slightly more accurate. It was also found that for practical purposes a separate model for each wood feedstock and delignification process is needed.

SoftwoodChemistryProcess Chemistry and TechnologyPulp (paper)engineering.materialKappa numberPulp and paper industryComputer Science ApplicationsAnalytical ChemistryKraft processPartial least squares regressionHardwoodengineeringPrincipal component regressionSpectroscopySoftwareKraft paperChemometrics and Intelligent Laboratory Systems
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FTIR Monitoring of Chemical Changes in Softwood During Heating

2000

Abstract A multivariate chemometric method for monitoring the mass loss of Scots pine (Pinus sylvestris) and Norway spruce (Picea abies) by IR spectroscopic determination of chemical changes occurring during the heat treatment (160 - 260 °C, 2 - 8 h) of these wood materials was developed. The method was based on the handling of FTIR data on treated and untreated wood powder samples by the partial least squares (PLS) method. In addition, unknown samples (treated and untreated pine and spruce) were classified into separate groups by the principal component analysis (PCA) method. The chemical changes occurring in the wood samples during heating were also briefly discussed.

SoftwoodbiologyChemistryGeneral Chemical EngineeringfungiScots pinePicea abiesGeneral Chemistrybiology.organism_classificationcomplex mixturesEnvironmental chemistryPartial least squares regressionPrincipal component analysisBotanyGeneral Materials ScienceFourier transform infrared spectroscopyChemical compositionWoody plantJournal of Wood Chemistry and Technology
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Optimization criteria in sample selection step of local regression for quantitative analysis of large soil NIRS database

2012

International audience; Large soil spectral libraries compiling thousands of NIR (Near Infrared) reflectance spectra have been created encompassing a wide diversity and heterogeneity of spectra. Among the many chemometric approaches to the calibration of chemical and physical properties from these large libraries, local calibrations have the advantage of being able to select the most similar spectra to the spectrum of a target sample. This is particularly relevant when dealing with highly heterogeneous media such as soils, where the mineral matrix has a strong influence on spectral features. A crucial step in the implementation of local calibration procedures is the construction of local ne…

Soil testCorrelation coefficientnear infrared spectroscopy[SDV]Life Sciences [q-bio]Fast Fourier transformfast fourier transformsample selection010501 environmental sciences01 natural sciencesAnalytical ChemistryStatisticsPartial least squares regressionsoil spectral databaseSpectroscopySelection (genetic algorithm)0105 earth and related environmental sciencesMathematicscompression methodsMahalanobis distancelocal calibrationbusiness.industryProcess Chemistry and TechnologyLocal regressionPattern recognition04 agricultural and veterinary sciences15. Life on landComputer Science Applications[SDE]Environmental SciencesPrincipal component analysis040103 agronomy & agriculture0401 agriculture forestry and fisheriesArtificial intelligencebusinessSoftwareChemometrics and Intelligent Laboratory Systems
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Characterization of Odor-Active Compounds in Aromatic Caramel by GC-Olfactometry and GC-Mass Spectrometry

2014

The aim of this study was to characterize odor-active compounds and sensory properties of four aromatic caramels. The volatile fraction was isolated by solvent assisted flavor evaporation (SAFE) and analyzed by GC/MS and GC/O with the detection frequency method. Furthermore, descriptive sensory profiles were performed with a panel of 10 trained assessors. Of the 77 odorant areas detected (detection frequency≥33%), 40 were associated to identified molecules. GC/O data were correlated to sensory attributes by partial least squares regression (PLSR). Oxygenated heterocycles, cyclopentenone derivatives, and carboxylic acids appeared as the most important contributors in caramel aroma.

SolventChromatographybiologyOdorChemistryOlfactometryPartial least squares regressionOrganic chemistryGas chromatography–mass spectrometrybiology.organism_classificationMass spectrometryFlavorAroma
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Determination of lidocaine in urine at low ppm levels using dispersive microextraction and attenuated total reflectance–Fourier transform infrared me…

2015

Abstract IR spectra provide valuable information about biological systems and can be obtained with compactable and affordable instruments, but the lack of sensitivity of this technique hampers its use in the determination of drugs in clinical fluids. Taking lidocaine as a target molecule, in this paper we introduced a methodology for determining drugs in urine samples using infrared spectroscopy. The lack of sensitivity of the IR was compensated with the combination of an effective and straightforward dispersive liquid–liquid microextraction and the measurement of the dry film of the organic extracts through attenuated total reflectance (ATR). The method developed improves the sensitivity b…

SolventDetection limitAnalyteChromatographyChemistryAttenuated total reflectionPartial least squares regressionAnalytical chemistryCalibrationInfrared spectroscopyUrineSpectroscopyAnalytical ChemistryMicrochemical Journal
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Rapid and Nondestructive Determination of Egg Freshness Category and Marked Date of Lay using Spectral Fingerprint

2020

The potential of nondestructive prediction of egg freshness based on near-infrared (NIR) spectra fingerprints would be beneficial to quality control officers and consumers alike. In this study, handheld NIR spectrometer in the range of 740 nm to 1070 nm and chemometrics were used to simultaneously determine egg freshness based on marked date of lay for eggs stored under cold and ambient conditions. The spectra acquired from the eggs were preprocessed using multiplicative scatter correction and principal component analysis (MSC-PCA). Linear discriminant analysis (LDA) was used to build identification model to predict the category of freshness, while partial least square regression (PLS-R) wa…

SpectrometerArticle Subjectbusiness.industry010401 analytical chemistry0402 animal and dairy scienceCold storagePattern recognitionQC350-46704 agricultural and veterinary sciencesOptics. LightLinear discriminant analysis040201 dairy & animal science01 natural sciencesAtomic and Molecular Physics and Optics0104 chemical sciencesAnalytical ChemistryChemometricsFingerprintPartial least squares regressionPrincipal component analysisCalibrationArtificial intelligencebusinessSpectroscopyMathematicsJournal of Spectroscopy
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Non-destructive and clean prediction of aviation fuel characteristics through Fourier transform-Raman spectroscopy and multivariate calibration

2003

Abstract The combination of Fourier transform (FT)-Raman spectroscopy and partial least squares (PLS) regression is proposed to be used in off-line kerosene quality control. Here, six important physico-chemical properties have been studied: Abel flash point, initial boiling point (IBP), 10% of distilled sample, final boiling point (FBP), total percentage of aromatic compounds (% aromatics) and viscosity. The Raman spectra were obtained directly from standard 2 ml glass vials ( 12 mm ×32  mm), using a Bruker RFS 100 FT-Raman spectrometer, equipped with a 1064 nm Nd:YAG laser and a Ge detector, in back-scattering mode and accumulating 25 scans (150 s acquisition time) with a laser power of 30…

SpectrometerChemistryAnalytical chemistryLaserBiochemistryAnalytical Chemistrylaw.inventionBoiling pointsymbols.namesakeFourier transformlawPartial least squares regressionsymbolsEnvironmental ChemistryLaser power scalingSpectroscopyRaman spectroscopySpectroscopyAnalytica Chimica Acta
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