Results 41 to 50 of about 22,170,122 (349)
AIMS Mathematics, 2022 The inclusion relation and the order relation are two distinct ideas in interval analysis. Convexity and nonconvexity create a significant link with different sorts of inequalities under the inclusion relation.
Muhammad Bilal Khan +4 more
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AIMS Mathematics, 2021 It is well-known that interval analysis provides tools to deal with data uncertainty. In general, interval analysis is typically used to deal with the models whose data are composed of inaccuracies that may occur from certain kinds of measurements.
Muhammad Bilal Khan +4 more
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Random convex analysis (II): continuity and subdifferentiability theorems in L 0 -pre-barreled random locally convex modules [PDF]
, 2015 In this paper, we continue to study random convex analysis. First, we introduce the notion of an L 0 -pre-barreled module. Then, we develop the theory of random duality under the framework of a random locally convex module endowed with the locally L 0 ...
T. Guo, Shien Zhao, Xiaolin Zeng
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New Journal of Physics, 2017 We investigate the utility of the convex hull of many Lagrangian tracers to analyze transport properties of turbulent flows with different anisotropy. In direct numerical simulations of statistically homogeneous and stationary Navier–Stokes turbulence ...
J Pratt +4 more
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Sensitivity analysis in convex programming
Computers & Mathematics with Applications, 2009 AbstractThe object of this paper is to perform an analysis of the sensitivity for convex vector programs with inequality constraints by examining the quantitative behavior of a certain set of optima according to changes of right-hand side parameters included in the program.
P. Jiménez Guerra +2 more
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Journal of Applied Clinical Medical Physics, EarlyView.Abstract Purpose Stereotactic radiotherapy (SRT) is a highly effective treatment with precision for small, localized lesions. Proton therapy, characterized by the Bragg peak, offers superior dose conformity compared to photon‐based approaches. However, challenges remain in minimizing lateral penumbra and optimizing dose delivery, particularly for small
Chen‐Yu Chou +3 more
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Cardinality-constrained structured data-fitting problems
Open Journal of Mathematical OptimizationA memory-efficient solution framework is proposed for the cardinality-constrained structured data-fitting problem. Dual-based atom-identification rules reveal the structure of the optimal primal solution from near-optimal dual solutions, which allows for
Fan, Zhenan +2 more
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Precision‐Optimised Post‐Stroke Prognoses
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Background Current medicine cannot confidently predict who will recover from post‐stroke impairments. Researchers have sought to bridge this gap by treating the post‐stroke prognostic problem as a machine learning problem, reporting prediction error metrics across samples of patients whose outcomes are known.
Thomas M. H. Hope +4 more
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A convexity of functions on convex metric spaces of Takahashi and applications
Journal of the Egyptian Mathematical Society, 2016 We show that Takahashi's idea of convex structures on metric spaces is a natural generalization of convexity in normed linear spaces and Euclidean spaces in particular. Then we introduce a concept of convex structure based convexity to functions on these
Ahmed A. Abdelhakim
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International Journal of Adaptive Control and Signal Processing, EarlyView.The cost as a function of the number of experiments for a non‐symmetric 21×21$$ 21\times 21 $$ system. Four approaches are shown: the proposed stochastic conjugate gradient ILC (SCGILC) method (), deterministic conjugate gradient ILC (), stochastic gradient descent ILC () and deterministic gradient descent ILC ().
Leontine Aarnoudse, Tom Oomen
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