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Regularization for Newton's methods #1126

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kbarros opened this issue Jan 21, 2025 · 0 comments
Open

Regularization for Newton's methods #1126

kbarros opened this issue Jan 21, 2025 · 0 comments

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@kbarros
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kbarros commented Jan 21, 2025

Here is an interesting variant of Newton's method with regularization: https://www.konstmish.com/publication/21_newton/.

According to the abstract:

Our method is the first variant of Newton’s method [for convex objects with Lipschitz Hessian] that has both cheap iterations [line search not required] and provably fast global convergence [speed of cubic Newton method].

The implementation of this regularization looks relatively straightforward, so I wonder if it could be incorporated into Optim.jl?

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