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math.OC2020
LSOS: Line-search Second-Order Stochastic optimization methods for nonconvex finite sums
Daniela di Serafino, Nataša Krejić, Nataša Krklec Jerinkić +1
We develop a line-search second-order algorithmic framework for minimizing finite sums. We do not make any convexity assumptions, but require the terms of the sum to be continuousl…
math.OC2020
Using gradient directions to get global convergence of Newton-type methods
Daniela di Serafino, Gerardo Toraldo, Marco Viola
The renewed interest in Steepest Descent (SD) methods following the work of Barzilai and Borwein [IMA Journal of Numerical Analysis, 8 (1988)] has driven us to consider a globaliza…