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math.OC2022
A Damped Newton Method Achieves Global and Local Quadratic Convergence Rate
Slavomír Hanzely, Dmitry Kamzolov, Dmitry Pasechnyuk +3
In this paper, we present the first stepsize schedule for Newton method resulting in fast global and local convergence guarantees. In particular, a) we prove an $O\left( \frac 1 {k…
cs.LG2022★ 3 cited
Distributed Newton-Type Methods with Communication Compression and Bernoulli Aggregation
Rustem Islamov, Xun Qian, Slavomír Hanzely +2
Despite their high computation and communication costs, Newton-type methods remain an appealing option for distributed training due to their robustness against ill-conditioned conv…