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math.OC2018★ 18 cited
The global rate of convergence for optimal tensor methods in smooth convex optimization
Alexander Gasnikov, Pavel Dvurechensky, Eduard Gorbunov +3
We consider convex optimization problems with the objective function having Lipshitz-continuous -th order derivative, where . We propose a new tensor method, which clos…
math.OC2018★ 4 cited
On the upper bound for the mathematical expectation of the norm of a vector uniformly distributed on the sphere and the phenomenon of concentration of uniform measure on the sphere
Eduard Gorbunov, Evgeniya Vorontsova, Alexander Gasnikov
We considered the problem of obtaining upper bounds for the mathematical expectation of the -norm () of the vector which is uniformly distributed…