Results 21 to 30 of about 3,703,082 (328)
Polarization-dependent tunneling of light in gradient optics [PDF]
Physical Review E, 2007 Reflection-refraction properties of photonic barriers, formed by dielectric gradient nanofilms, for inclined incidence of both S- and P-polarized electromagnetic (EM) waves are examined by means of exactly solvable models. We present generalized Fresnel formulae, describing the influence of the non-local dispersion on reflectance and transmittance of ...
Shvartsburg, Alexander +2 more
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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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Non-local gradient dependent operators
Advances in Mathematics, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bjorland, C. +2 more
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Impurity transport in temperature gradient driven turbulence [PDF]
, 2011 In the present paper the transport of impurities driven by trapped electron (TE) mode turbulence is studied. Non-linear (NL) gyrokinetic simulations using the code GENE are compared with results from quasilinear (QL) gyrokinetic simulations and a ...
A. Skyman +3 more
core +2 more sources
Revisiting Gradient Clipping: Stochastic bias and tight convergence guarantees [PDF]
International Conference on Machine Learning, 2023 Gradient clipping is a popular modification to standard (stochastic) gradient descent, at every iteration limiting the gradient norm to a certain value $c>0$.
Anastasia Koloskova +2 more
semanticscholar +1 more source
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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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
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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Nonlinear Elliptic Inclusions with Unilateral Constraint and Dependence on the Gradient [PDF]
, 2018 We consider a nonlinear Neumann elliptic inclusion with a source (reaction term) consisting of a convex subdifferential plus a multivalued term depending on the gradient.
Nikolaos S. Papageorgiou +2 more
semanticscholar +1 more source