Results 41 to 50 of about 3,188,796 (338)
Bridging the Gap between Constant Step Size Stochastic Gradient Descent and Markov Chains [PDF]
, 2018 We consider the minimization of an objective function given access to unbiased estimates of its gradient through stochastic gradient descent (SGD) with constant step-size. While the detailed analysis was only performed for quadratic functions, we provide
Bach, Francis +2 more
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Training Neural Networks by Time-Fractional Gradient Descent
Axioms, 2022 Motivated by the weighted averaging method for training neural networks, we study the time-fractional gradient descent (TFGD) method based on the time-fractional gradient flow and explore the influence of memory dependence on neural network training. The
Jingyi Xie, Sirui Li
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Robin problems for the p-Laplacian with gradient dependence
Discrete and Continuous Dynamical Systems. Series A, 2019 We consider a nonlinear elliptic equation with Robin boundary condition driven by the p-Laplacian and with a reaction term which depends also on the gradient.
G. Fragnelli +2 more
semanticscholar +1 more source
Non-local gradient dependent operators
Advances in Mathematics, 2012 AbstractIn this paper we study a general class of “quasilinear non-local equations” depending on the gradient which arises from tug-of-war games. We establish a Cα/C1,α/C2,α regularity theory for these equations (the kind of regularity depending on the assumptions on the kernel), and we construct different non-local approximations of the p-Laplacian.
Clayton Bjorland +2 more
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Density-dependence tips the change of plant–plant interactions under environmental stress
Nature Communications, 2020 Density-dependence is rarely accounted for in plant-plant facilitation studies. Here the authors develop a framework that incorporates density-dependence in the stress-gradient hypothesis, and test it first through modeling and then empirically on ...
Ruichang Zhang, Katja Tielbörger
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Location of Nodal Solutions for Quasilinear Elliptic Equations with Gradient Dependence
, 2017 Existence and regularity results for quasilinear elliptic equations driven by \begin{document}$(p, q)$\end{document} -Laplacian and with gradient dependence are presented.
D. Motreanu +2 more
semanticscholar +1 more source
Dispersive properties of gradient-dependent and rate-dependent media
Mechanics of Materials, 1994 The dispersive behaviour of waves propagating in gradient-dependent and rate-dependent media is investigated analytically and numerically. Attention is focused on the proper modelling of dynamic strain localisation and the crucial role that dispersion plays in this.
de R René Borst, Lambertus J. Sluys
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An isogeometric analysis approach to gradient‐dependent plasticity [PDF]
International Journal for Numerical Methods in Engineering, 2017 SummaryGradient‐dependent plasticity can be used to achieve mesh‐objective results upon loss of well‐posedness of the initial/boundary value problem because of the introduction of strain softening, non‐associated flow, and geometric nonlinearity.
Kolo, I., de Borst, R.
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Advances in Materials Science and Engineering, 2022 Gravity is the primary load source in geotechnical engineering, and its effect becomes extremely important in these cases such as lunar research station construction and in situ resource utilization. However, at the current stage, the study on the effect
Ruilin Li +4 more
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Magnetic Resonance in Medicine, 2019 Oscillating gradient spin‐echo (OGSE) diffusion MRI provides information about the microstructure of biological tissues by means of the frequency dependence of the apparent diffusion coefficient (ADC).
A. Arbabi, J. Kai, Ali R. Khan, C. Baron
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