Results 21 to 30 of about 5,721 (292)
Basins of attraction on random topography [PDF]
Physical Review E, 2001 We investigate the consequences of fluid flowing on a continuous surface upon the geometric and statistical distribution of the flow. We find that the ability of a surface to collect water by its mere geometrical shape is proportional to the curvature of the contour line divided by the local slope.
Schorghofer, N., Rothman, D. H.
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Complexity, 2021 A neural network is a model of the brain’s cognitive process, with a highly interconnected multiprocessor architecture. The neural network has incredible potential, in the view of these artificial neural networks inherently having good learning ...
Li Cui, Chaoyang Chen, Jie Jin, Fei Yu
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Perturbed Basins of Attraction [PDF]
Mathematische Annalen, 2006 Let F be an automorphism of C^k which has a fixed point. It is well known that the basin of attraction is biholomorphically equivalent to C^k. We will show that the basin of attraction of a sequence of automorphisms is also biholomorphic to C^k if all the automorphisms are small perturbations of the original map F.
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Estimating Attraction Basin Sizes [PDF]
, 2016 The performance of local search algorithms is influenced by the properties that the neighborhood imposes on the search space. Among these properties, the number of local optima has been traditionally considered as a complexity measure of the instance, and different methods for its estimation have been developed. The accuracy of these estimators depends
Leticia Hernando +2 more
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Fractal dimension complexity of gravitation fractals in central place theory
Scientific Reports, 2023 Settlement centers of various types, including cities, produce basins of attraction whose shape can be regular or complexly irregular (from the point of view of geometry).
Michał Banaszak +3 more
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Multiple Solutions of the Tristable Energy Harvester
Energies, 2021 This paper presents the results of numerical simulations of a non-linear, tristable system for harvesting energy from vibrating mechanical devices. Detailed model tests were carried out in relation to the system consisting of a beam and three permanent ...
Grzegorz Litak +4 more
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, 2020 Quantification of the stationary points and the associated basins of attraction of neural network loss surfaces is an important step towards a better understanding of neural network loss surfaces at large.
Helbig, M, Bosman, A, Engelbrecht, AP
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Higher-Order Root-Finding Algorithms and Their Basins of Attraction
Journal of Mathematics, 2020 In this paper, we proposed and analyzed three new root-finding algorithms for solving nonlinear equations in one variable. We derive these algorithms with the help of variational iteration technique.
Amir Naseem +2 more
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Basins of attraction of a one-parameter family of root-finding techniques
Moroccan Journal of Pure and Applied Analysis, 2023 Initial conditions can have a substantial impact on the behavior of iterative root-finding techniques for nonlinear equations. By allowing complex starting points and complex roots, it is possible to examine the basins of attraction in the complex plane ...
Basto Mário, Basto Mário Alberto
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Basins of Attraction for Various Steffensen-Type Methods
Journal of Applied Mathematics, 2014 The dynamical behavior of different Steffensen-type methods is analyzed. We check the chaotic behaviors alongside the convergence radii (understood as the wideness of the basin of attraction) needed by Steffensen-type methods, that is, derivative-free ...
Alicia Cordero +3 more
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