Search results for "Regularization perspectives on support vector machines"

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Least-Norm Regularization For Weak Two-Level Optimization Problems

1992

In this paper, we consider a regularization for weak two-level optimization problems by adaptation of the method presented by Solohovic (1970). Existence and approximation results are given in the case in which the constraints to the lower level problems are described by a multifunction. Convergence results for the least-norm regularization under perturbations are also presented.

Mathematical optimizationOptimization problemNorm (mathematics)Proximal gradient methods for learningRegularization perspectives on support vector machinesBackus–Gilbert methodRegularization (mathematics)Mathematics
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Regularization operators for natural images based on nonlinear perception models.

2006

Image restoration requires some a priori knowledge of the solution. Some of the conventional regularization techniques are based on the estimation of the power spectrum density. Simple statistical models for spectral estimation just take into account second-order relations between the pixels of the image. However, natural images exhibit additional features, such as particular relationships between local Fourier or wavelet transform coefficients. Biological visual systems have evolved to capture these relations. We propose the use of this biological behavior to build regularization operators as an alternative to simple statistical models. The results suggest that if the penalty operator take…

Regularization perspectives on support vector machinesInformation Storage and RetrievalImage processingRegularization (mathematics)Pattern Recognition AutomatedOperator (computer programming)Artificial IntelligenceImage Interpretation Computer-AssistedCluster AnalysisComputer SimulationImage restorationMathematicsModels Statisticalbusiness.industryWavelet transformSpectral density estimationStatistical modelPattern recognitionNumerical Analysis Computer-AssistedSignal Processing Computer-AssistedImage EnhancementComputer Graphics and Computer-Aided DesignNonlinear DynamicsArtificial intelligencebusinessSoftwareAlgorithmsIEEE transactions on image processing : a publication of the IEEE Signal Processing Society
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On the discrete linear ill‐posed problems

1999

An inverse problem of photo‐acoustic spectroscopy of semiconductors is investigated. The main problem is formulated as the integral equation of the first kind. Two different regularization methods are applied, the algorithms for defining regularization parameters are given. Diskrečiųjų blogai sąlygotų uždavinių klausimu Santrauka Darbe nagrinejamas foto‐akustines spektroskopijos puslaidininkiuose uždavinys, kuriame i vertinami nešeju difuzijos ir rekombinacijos procesai. Reikia atstatyti šaltinio funkcija f(x), jei žinoma antrosios eiles difuzijos lygtis ir atitinkamos kraštines salygos. Naudojantis matavimu, atliktu ivairiuose dažniuose, rezultatais sprendžiamas atvirkštinis uždavinys, kel…

Well-posed problemMathematical analysisRegularization perspectives on support vector machinesBackus–Gilbert method-Inverse problemIntegral equationRegularization (mathematics)Tikhonov regularizationModeling and SimulationInverse scattering problemQA1-939Applied mathematicsMathematicsAnalysisMathematicsMathematical Modelling and Analysis
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