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A Differential Equation for Modeling Nesterov’s Accelerated Gradient Method:Theory and Insights
Differential Equation Modeling Nesterov’s Accelerated Gradient Method
2015/7/8
We derive a second-order ordinary differential equation (ODE), which is the limit of Nesterov’s accelerated gradient method. This ODE exhibits approximate equivalence to Nesterov’s scheme and thus can...
Smooth Dependence by LAG of the Solution of a Delay Integro-Differential Equation from Biomathematics
neutral delay integro-differential equation Perov’s fixed point theorem Picard operators successive approximations sequence smooth dependence by lag
2008/11/25
Using the Perov’s fixed point theorem and the theorem of fiber generalized contractions,
we obtain the smooth dependence by lag of the positive periodic solution
of a neutral delay integro-different...