Optim
Optim: A mathematical optimization package for Julia - Published in JOSS (2018)
Science Score: 100.0%
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Published in Journal of Open Source Software
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Repository
Optimization functions for Julia
Basic Info
- Host: GitHub
- Owner: JuliaNLSolvers
- License: other
- Language: Julia
- Default Branch: master
- Homepage: https://julianlsolvers.github.io/Optim.jl/stable/
- Size: 7.77 MB
Statistics
- Stars: 1,171
- Watchers: 30
- Forks: 234
- Open Issues: 105
- Releases: 85
Topics
Metadata Files
README.md
Optim.jl
Univariate and multivariate optimization in Julia.
Optim.jl is part of the JuliaNLSolvers family.
Help and support
For help and support, please post on the Optimization (Mathematical)
section of the Julia discourse or the #math-optimization channel of the Julia slack.
Installation
Install Optim.jl using the Julia package manager:
julia
import Pkg
Pkg.add("Optim")
Documentation
The online documentation is available at https://julianlsolvers.github.io/Optim.jl/stable.
Example
To minimize the Rosenbrock function, do: ```julia julia> using Optim
julia> rosenbrock(x) = (1.0 - x[1])^2 + 100.0 * (x[2] - x[1]^2)^2 rosenbrock (generic function with 1 method)
julia> result = optimize(rosenbrock, zeros(2), BFGS()) * Status: success
Candidate solution Final objective value: 5.471433e-17
Found with Algorithm: BFGS
Convergence measures |x - x'| = 3.47e-07 ≰ 0.0e+00 |x - x'|/|x'| = 3.47e-07 ≰ 0.0e+00 |f(x) - f(x')| = 6.59e-14 ≰ 0.0e+00 |f(x) - f(x')|/|f(x')| = 1.20e+03 ≰ 0.0e+00 |g(x)| = 2.33e-09 ≤ 1.0e-08
Work counters Seconds run: 0 (vs limit Inf) Iterations: 16 f(x) calls: 53 ∇f(x) calls: 53
julia> Optim.minimizer(result) 2-element Vector{Float64}: 0.9999999926033423 0.9999999852005355
julia> Optim.minimum(result) 5.471432670590216e-17 ```
To get information on the keywords used to construct method instances, use the
Julia REPL help prompt (?)
```julia
help?> LBFGS
search: LBFGS
LBFGS ≡≡≡≡≡
Constructor ===========
LBFGS(; m::Integer = 10, alphaguess = LineSearches.InitialStatic(), linesearch = LineSearches.HagerZhang(), P=nothing, precondprep = (P, x) -> nothing, manifold = Flat(), scaleinvH0::Bool = P === nothing)
LBFGS has two special keywords; the memory length m, and the scaleinvH0 flag. The memory length determines how many previous Hessian approximations to store. When scaleinvH0 == true, then the initial guess in the two-loop recursion to approximate the inverse Hessian is the scaled identity, as can be found in Nocedal and Wright (2nd edition) (sec. 7.2).
In addition, LBFGS supports preconditioning via the P and precondprep keywords.
Description ===========
The LBFGS method implements the limited-memory BFGS algorithm as described in Nocedal and Wright (sec. 7.2, 2006) and original paper by Liu & Nocedal (1989). It is a quasi-Newton method that updates an approximation to the Hessian using past approximations as well as the gradient.
References ==========
• Wright, S. J. and J. Nocedal (2006), Numerical optimization, 2nd edition.
Springer
• Liu, D. C. and Nocedal, J. (1989). "On the Limited Memory Method for
Large Scale Optimization". Mathematical Programming B. 45 (3): 503–528
```
Use with JuMP
You can use Optim.jl with JuMP.jl as follows:
```julia julia> using JuMP, Optim
julia> model = Model(Optim.Optimizer);
julia> setoptimizerattribute(model, "method", BFGS())
julia> @variable(model, x[1:2]);
julia> @objective(model, Min, (1.0 - x[1])^2 + 100.0 * (x[2] - x[1]^2)^2) (x[1]² - 2 x[1] + 1) + (100.0 * ((-x[1]² + x[2]) ^ 2.0))
julia> optimize!(model)
julia> objective_value(model) 3.7218241804173566e-21
julia> value.(x) 2-element Vector{Float64}: 0.9999999999373603 0.99999999986862 ```
Citation
If you use Optim.jl in your work, please cite the following:
tex
@article{mogensen2018optim,
author = {Mogensen, Patrick Kofod and Riseth, Asbj{\o}rn Nilsen},
title = {Optim: A mathematical optimization package for {Julia}},
journal = {Journal of Open Source Software},
year = {2018},
volume = {3},
number = {24},
pages = {615},
doi = {10.21105/joss.00615}
}
Owner
- Name: JuliaNLSolvers
- Login: JuliaNLSolvers
- Kind: organization
- Repositories: 16
- Profile: https://github.com/JuliaNLSolvers
JOSS Publication
Optim: A mathematical optimization package for Julia
Tags
OptimizationCitation (CITATION.bib)
@article{Optim.jl-2018,
author = {Mogensen, Patrick Kofod and Riseth, Asbj{\o}rn Nilsen},
title = {Optim: A mathematical optimization package for {Julia}},
journal = {Journal of Open Source Software},
year = {2018},
volume = {3},
number = {24},
pages = {615},
doi = {10.21105/joss.00615}
}
GitHub Events
Total
- Create event: 36
- Commit comment event: 11
- Release event: 7
- Issues event: 46
- Watch event: 57
- Delete event: 15
- Issue comment event: 233
- Push event: 122
- Pull request review event: 23
- Pull request review comment event: 26
- Pull request event: 97
- Fork event: 16
Last Year
- Create event: 36
- Commit comment event: 11
- Release event: 7
- Issues event: 46
- Watch event: 57
- Delete event: 15
- Issue comment event: 233
- Push event: 122
- Pull request review event: 23
- Pull request review comment event: 26
- Pull request event: 97
- Fork event: 16
Committers
Last synced: 5 months ago
Top Committers
| Name | Commits | |
|---|---|---|
| Patrick Kofod Mogensen | p****n@g****m | 394 |
| John Myles White | j****w@j****m | 120 |
| Asbjørn Nilsen Riseth | a****h@g****m | 68 |
| timholy | t****y@g****m | 40 |
| Christof Stocker | c****r@h****g | 17 |
| Asbjørn Nilsen Riseth | r****h@m****k | 13 |
| Miles Lubin | m****n@g****m | 13 |
| github-actions[bot] | 4****] | 10 |
| Andreas Noack | a****n@g****m | 9 |
| Antoine Levitt | a****t@g****m | 8 |
| Christoph Ortner | c****0@g****m | 7 |
| Benoît Legat | b****t@g****m | 6 |
| Blake Johnson | b****4@g****m | 6 |
| Christopher Rackauckas | C****t@C****m | 5 |
| Kristoffer Carlsson | k****n@c****e | 5 |
| Yichao Yu | y****2@g****m | 5 |
| dependabot[bot] | 4****] | 5 |
| Josua Grawitter | j****h@g****g | 4 |
| Arno Strouwen | a****n@t****e | 4 |
| Dahua Lin | l****a@g****m | 4 |
| Ben Kuhn | b****n@g****m | 3 |
| David Widmann | d****n | 3 |
| Jeffrey Regier | j****r | 3 |
| Jorge Fernandez-de-Cossio-Diaz | c****o | 3 |
| femtocleaner[bot] | f****] | 3 |
| abhro | 5****o | 3 |
| Thomas R. Covert | t****c@a****u | 3 |
| Ron Rock | r****k@u****u | 3 |
| Michael Creel | m****l@u****t | 3 |
| Alexey Stukalov | a****t | 3 |
| and 92 more... | ||
Committer Domains (Top 20 + Academic)
Issues and Pull Requests
Last synced: 4 months ago
All Time
- Total issues: 141
- Total pull requests: 171
- Average time to close issues: 7 months
- Average time to close pull requests: 3 months
- Total issue authors: 103
- Total pull request authors: 45
- Average comments per issue: 2.72
- Average comments per pull request: 3.4
- Merged pull requests: 120
- Bot issues: 0
- Bot pull requests: 20
Past Year
- Issues: 31
- Pull requests: 89
- Average time to close issues: 3 days
- Average time to close pull requests: 13 days
- Issue authors: 18
- Pull request authors: 17
- Average comments per issue: 0.48
- Average comments per pull request: 2.63
- Merged pull requests: 60
- Bot issues: 0
- Bot pull requests: 11
Top Authors
Issue Authors
- pkofod (13)
- renatobellotti (6)
- cseveren (4)
- andreasnoack (3)
- mahaa2 (3)
- Moelf (3)
- blegat (2)
- sgaure (2)
- roflmaostc (2)
- Li-shiyue (2)
- dhathri-auburn (2)
- rsenne (2)
- ForceBru (2)
- KronosTheLate (2)
- kbarros (2)
Pull Request Authors
- pkofod (58)
- dependabot[bot] (12)
- abhro (8)
- github-actions[bot] (7)
- timholy (6)
- blegat (6)
- odow (5)
- devmotion (5)
- MilesCranmer (4)
- ArnoStrouwen (4)
- gdalle (4)
- JoshuaLampert (2)
- christianhauschel (2)
- gwater (2)
- thchr (2)
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Packages
- Total packages: 3
-
Total downloads:
- julia 10,141 total
-
Total dependent packages: 292
(may contain duplicates) -
Total dependent repositories: 150
(may contain duplicates) - Total versions: 249
juliahub.com: Optim
Optimization functions for Julia
- Homepage: https://julianlsolvers.github.io/Optim.jl/stable/
- Documentation: https://docs.juliahub.com/General/Optim/stable/
- License: MIT
-
Latest release: 1.13.2
published 7 months ago
Rankings
proxy.golang.org: github.com/julianlsolvers/optim.jl
- Documentation: https://pkg.go.dev/github.com/julianlsolvers/optim.jl#section-documentation
- License: other
-
Latest release: v1.13.2
published 7 months ago
Rankings
proxy.golang.org: github.com/JuliaNLSolvers/Optim.jl
- Documentation: https://pkg.go.dev/github.com/JuliaNLSolvers/Optim.jl#section-documentation
- License: other
-
Latest release: v1.13.2
published 7 months ago
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