Mercurial > repos > non-riemannian-opt / file comparison
comparison: README.md
README.md
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| 2 # Non-Riemannian optimisation | 2 # Non-Riemannian optimisation |
| 3 | 3 |
| 4 This package contains [Rust] codes for the manuscript “_Forward-backward | 4 This package contains [Rust] codes for the manuscript “_Forward-backward |
| 5 methods in bilaterally bounded Alexandov spaces_” ([arXiv:????]) | 5 methods in bilaterally bounded Alexandrov spaces_” ([arXiv:????]) |
| 6 by Heikki von Koch and Tuomo Valkonen ⟨tuomov@iki.fi⟩. | 6 by Heikki von Koch and Tuomo Valkonen ⟨tuomov@iki.fi⟩. |
| 7 It concerns the solution of problems of the type | 7 It concerns the solution of problems of the type |
| 8 $$ | 8 $$ |
| 9 \min_{x ∈ M} F(x) + G(x) | 9 \min_{x ∈ M} F(x) + G(x) |
| 10 $$ | 10 $$ |
| 11 where $F$ is a smooth function and $G$ a possibly nonsmooth convex function | 11 where $F$ is a smooth function and $G$ a possibly nonsmooth convex function |
| 12 on a manifold $M$, which we do not assume to be Riemannian. It may, | 12 on a manifold $M$, which we do not assume to be Riemannian. It may, |
| 13 for example, be an embedded manifold in $ℝ^3$, which sharp corners. | 13 for example, be an embedded manifold in $ℝ^3$ with sharp edges. |
| 14 We have implemented the cube and the cylinder, as well as squared and | 14 We have implemented the cube and the cylinder, as well as squared and |
| 15 non-squared distance functions. | 15 non-squared distance functions. |
| 16 | 16 |
| 17 ## Installation and usage | 17 ## Installation and usage |
| 18 | 18 |
