README.md

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2 # Proximal methods for point source localisation: the implementation 2 # Proximal methods for point source localisation: the implementation
3 3
4 This package contains the [Rust] codes for the numerical experiments in the articles 4 This package contains the [Rust] codes for the numerical experiments in the articles
5 * T. Valkonen, “_Proximal methods for 5 * T. Valkonen, “_Proximal methods for
6 point source localisation_”, Journal of Nonsmooth Analysis and Optimization 4 (2023), 10433, [doi:10.46298/jnsao-2023-10433] ([arXiv:2212.02991]) 6 point source localisation_”, Journal of Nonsmooth Analysis and Optimization 4 (2023), 10433, [doi:10.46298/jnsao-2023-10433] ([arXiv:2212.02991])
7 * T. Valkonen, “_Point source localisation with unbalanced optimal transport_” (2025), submitted. 7 * T. Valkonen, “_Point source localisation with unbalanced optimal transport_” (2025), submitted, [arXiv:2502.12417]
8 8
9 It concerns solution of problems of the type 9 It concerns solution of problems of the type
10 $$ 10 $$
11 \min_{μ ∈ ℳ(Ω)}~ F(μ) + λ \|μ\|_{ℳ(Ω)} + δ_{≥ 0}(μ), 11 \min_{μ ∈ ℳ(Ω)}~ F(μ) + λ \|μ\|_{ℳ(Ω)} + δ_{≥ 0}(μ),
12 $$ 12 $$
47 [Rust]: https://www.rust-lang.org/ 47 [Rust]: https://www.rust-lang.org/
48 [GNU Scientific Library]: https://www.gnu.org/software/gsl/ 48 [GNU Scientific Library]: https://www.gnu.org/software/gsl/
49 [rust-GSL]: https://docs.rs/GSL/6.0.0/rgsl/ 49 [rust-GSL]: https://docs.rs/GSL/6.0.0/rgsl/
50 [Homebrew]: https://brew.sh 50 [Homebrew]: https://brew.sh
51 [arXiv:2212.02991]: https://arxiv.org/abs/2212.02991 51 [arXiv:2212.02991]: https://arxiv.org/abs/2212.02991
52 [arXiv:2502.12417]: https://arxiv.org/abs/2502.12417
52 [doi:10.46298/jnsao-2023-10433]: http://doi.org/10.46298/jnsao-2023-10433 53 [doi:10.46298/jnsao-2023-10433]: http://doi.org/10.46298/jnsao-2023-10433
53 54
54 ### Building and running the experiments 55 ### Building and running the experiments
55 56
56 To compile and install the program, use 57 To compile and install the program, use
67 68
68 Alternatively, you may build and run the program without installing with 69 Alternatively, you may build and run the program without installing with
69 ```console 70 ```console
70 cargo run --release -- -o results 71 cargo run --release -- -o results
71 ``` 72 ```
72 The double-dash separates the options for the Cargo build system 73 The double-dash separates the options for the Cargo build system
73 and `pointsource_algs`. 74 and `pointsource_algs`.
74 75
75 ### Documentation 76 ### Documentation
76 77
77 Use the `--help` option to get an extensive listing of command line options to 78 Use the `--help` option to get an extensive listing of command line options to
87 ``` 88 ```
88 The `cargo-d` script ensures that KaTeX mathematics is rendered in the 89 The `cargo-d` script ensures that KaTeX mathematics is rendered in the
89 generated documentation through an ugly workaround. Unfortunately, 90 generated documentation through an ugly workaround. Unfortunately,
90 `rustdoc`, akin to Rust largely itself, is stuck in 80's 7-bit gringo ASCII 91 `rustdoc`, akin to Rust largely itself, is stuck in 80's 7-bit gringo ASCII
91 world, and does not support modern markdown features, such as mathematics. 92 world, and does not support modern markdown features, such as mathematics.
92

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