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- W4229444713 abstract "We investigate fundamental properties of the proximal point algorithm for Lipschitz convex functions on (proper, geodesic) Gromov hyperbolic spaces. We show that the proximal point algorithm from an arbitrary initial point can find a point close to a minimizer of the function. Moreover, we establish contraction estimates (akin to trees) for the proximal (resolvent) operator. Our results can be applied to small perturbations of trees." @default.
- W4229444713 created "2022-05-11" @default.
- W4229444713 creator A5048756327 @default.
- W4229444713 date "2022-05-06" @default.
- W4229444713 modified "2023-09-26" @default.
- W4229444713 title "Discrete-time gradient flows in Gromov hyperbolic spaces" @default.
- W4229444713 doi "https://doi.org/10.48550/arxiv.2205.03156" @default.
- W4229444713 hasPublicationYear "2022" @default.
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