Results 51 to 60 of about 5,469 (233)
Clifford algebra multivectors and kernels for melanoma classification
Mathematical Methods in the Applied Sciences, 2021 Melanoma is a deadly skin disease. Availability of digital skin lesion datasets ease the exploration of ample classification studies. Both theoretical and heuristics improvements are achieved thanks to these new datasets. Being one of many high‐level feature‐driven classification methods, support vector machines (SVMs) are widely used in the literature
Mutlu Akar +2 more
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Trust‐region filter algorithms utilizing Hessian information for gray‐box optimization
AIChE Journal, EarlyView.Abstract Optimizing industrial processes often involves gray‐box models that couple algebraic glass‐box equations with black‐box components lacking analytic derivatives. Such systems challenge derivative‐based solvers. The classical trust‐region filter (TRF) algorithm provides a robust framework but requires extensive parameter tuning and numerous ...
Gul Hameed +4 more
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Structured algebraic specifications: A Kernel language
Theoretical Computer Science, 1986 A language called ASL for describing structured algebraic specifications is presented. ASL is a declarative higher-order language. It contains constructs for building (possibly infinite) signatures, sets of terms, and sets of formulas as well as constructs embodying primitive operations on algebraic specifications.
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AIChE Journal, EarlyView.Abstract Bayesian estimation enables uncertainty quantification, but analytical implementation is often intractable. As an approximate approach, the Markov Chain Monte Carlo (MCMC) method is widely used, though it entails a high computational cost due to frequent evaluations of the likelihood function.
Tatsuki Maruchi +2 more
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Reproducing kernels, Engliš algebras and some applications
Studia Mathematica, 2016 Let \({\mathcal H}={\mathcal H}(\Omega)\) be a reproducing kernel Hilbert space and \(\widehat{k}_{{\mathcal H},\lambda}\) be the normalized reproducing kernel of \({\mathcal H}\). Typically, \({\mathcal H}\) is a Hardy space \(H ^2\), a Bergman space \(L_a^2\), or a model space \(K_\theta:=H^2\ominus\theta H^2\) for an inner function \(\theta\).
HUBAN, Mualla Birgul +2 more
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Journal of Analytical Science and Technology, 2020 In magnetic resonance imaging, the fidelity of image reconstruction is an important criterion. It has been suggested that the infinite-extent sinc kernel is the ideal interpolation kernel for ensuring the reconstruction quality of non-Cartesian ...
Sangwoo Kim, Chulhyun Lee
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Homogeneous algebras via heat kernel estimates
Transactions of the American Mathematical Society, 2022 We study homogeneous Besov and Triebel–Lizorkin spaces defined on doubling metric measure spaces in terms of a self-adjoint operator whose heat kernel satisfies Gaussian estimates together with its derivatives. When the measure space is a smooth manifold and such operator is a sum of squares of smooth vector fields, we prove that their intersection ...
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Overcoming the Nyquist Limit in Molecular Hyperspectral Imaging by Reinforcement Learning
Advanced Intelligent Discovery, EarlyView.Explorative spectral acquisition guide automatically selects informative spectral bands to optimize downstream tasks, outperforming full‐spectrum acquisition. The selected hyperspectral data are used for tasks such as unmixing and segmentation. BandOptiNet encodes selection states and outputs optimal bands to guide spectral acquisition. Recent advances
Xiaobin Tang +4 more
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On the solution of the convolution equation with a sum-difference kernel
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2015 The paper deals with the integral equations of the second kind with a sumdifference kernel. These equations describe a series of physical processes in a medium with a reflective boundary.
Ani G Barseghyan
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Algebraic monoids with group kernels
Semigroup Forum, 1996 Let \(M\) be an algebraic monoid, that is \(M\) be both an affine variety over an algebraically closed field \(K\) and a monoid for which the operation of multiplication \(M\times M\to M\) is an affine variety morphism. An algebraic monoid \(M\) is irreducible if it is so as an affine variety. \(M\) is regular if \(a\in aMa\) for all \(a\in M\).
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