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Sep 30, 2018 · We consider a variant of inexact Newton Method, called Newton-MR, in which the least-squares sub-problems are solved approximately using Minimum ...
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Newton-MR: Theory. Newton-MR: Experiments. Newton-MR: Newton's Method Without. Smoothness or Convexity. Michael W. Mahoney. ICSI and Department of Statistics.
In this thesis, we consider variants of inexact Newton Method [1, 2], called Newton-MR, in which the symmetric least-squares sub-problems are solved using ...
We introduce and study the damped regularized Newton's method (DRNM). It converges globally for any strictly convex function, which has a minimizer in $R^n$.
A Newton-CG algorithm with complexity guarantees for smooth unconstrained optimization · Mathematics, Computer Science. Mathematical Programming · 2019. We ...
Establishing global convergence of the classical Newton's method has long been limited to making (strong) convexity assumptions.
When f is smooth and strongly convex, it is well known that the local and global convergence rates of the classical Newton's method are, respectively, quadratic ...
Sep 17, 2019 · We show that two simple modifications of the classical Newton's method result in an algorithm, called Newton-MR, which is almost ...
Aug 15, 2022 · Abstract:In this paper, we consider variants of Newton-MR algorithm for solving unconstrained, smooth, but non-convex optimization problems.
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Bibliographic details on Newton-MR: Newton's Method Without Smoothness or Convexity.