Characterization of optimization problems that are solvable iteratively with linear convergence

Foivos Alimisis

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arXiv · 2402.12090

Characterization of optimization problems that are solvable iteratively with linear convergence

Foivos Alimisis

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Abstract

In this work, we state a general conjecture on the solvability of optimization problems via algorithms with linear convergence guarantees. We make a first step towards examining its correctness by fully characterizing the problems that are solvable via Riemannian gradient descent with linear convergence.

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Foivos Alimisis. 2024-02-19. Characterization of optimization problems that are solvable iteratively with linear convergence. https://arxiv.org/abs/2402.12090

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