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@@ -76,7 +76,6 @@ RegularizedOptimization.jl provides a consistent API to formulate optimization p
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It integrates seamlessly with the [JuliaSmoothOptimizers](https://github.com/JuliaSmoothOptimizers) [@jso] ecosystem, an academic organization for nonlinear optimization software development, testing, and benchmarking.
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The smooth objective $f$ can be defined via [NLPModels.jl](https://github.com/JuliaSmoothOptimizers/NLPModels.jl) [@orban-siqueira-nlpmodels-2020], which provides a standardized Julia API for representing nonlinear programming (NLP) problems.
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Large collections of such problems are available in [CUTEst.jl](https://github.com/JuliaSmoothOptimizers/CUTEst.jl) [@orban-siqueira-cutest-2020] and [OptimizationProblems.jl](https://github.com/JuliaSmoothOptimizers/OptimizationProblems.jl) [@migot-orban-siqueira-optimizationproblems-2023], but a user can easily interface or model their own smooth objective.
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The nonsmooth term $h$ can be modeled using [ProximalOperators.jl](https://github.com/JuliaSmoothOptimizers/ProximalOperators.jl), which provides a broad collection of regularizers and indicators of simple sets.
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@@ -102,12 +101,6 @@ Hessian–vector products $v \mapsto Hv$ can be obtained via automatic different
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Limited-memory and diagonal quasi-Newton approximations can be selected from [LinearOperators.jl](https://github.com/JuliaSmoothOptimizers/LinearOperators.jl).
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This design allows solvers to exploit second-order information without explicitly forming dense or sparse Hessians, which is often expensive in time and memory, particularly at large scale.
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## Testing and documentation
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The package includes a comprehensive suite of unit tests that cover all functionalities, ensuring reliability and correctness.
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Extensive documentation is provided, including a user guide, API reference, and examples to help users get started quickly.
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Documentation is built using Documenter.jl.
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# Example
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We illustrate the capabilities of [RegularizedOptimization.jl](https://github.com/JuliaSmoothOptimizers/RegularizedOptimization.jl) on a Support Vector Machine (SVM) model with a $\ell_{1/2}^{1/2}$ penalty for image classification [@aravkin-baraldi-orban-2024].

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