# Reproduction: Provably Data-driven Multiple Hyper-parameter Tuning with Structured Loss Function

## Pages

| Page |
| --- |
| [Executive summary](#/executive-summary) |
| [claim-1-thm41-fol-framework](#/claim-1-thm41-fol-framework) |
| [claim-2-thm51-training-loss](#/claim-2-thm51-training-loss) |
| [claim-3-thm61-bilevel-validation-loss](#/claim-3-thm61-bilevel-validation-loss) |
| [claim-4-thm72-piecewise-rational-path](#/claim-4-thm72-piecewise-rational-path) |
| [claim-5-thm81-weighted-group-lasso](#/claim-5-thm81-weighted-group-lasso) |
| [claim-6-thm82-weighted-fused-lasso](#/claim-6-thm82-weighted-fused-lasso) |
| [failure-boundaries](#/claim-7-failure-boundaries) |
| [methods-provenance](#/claim-8-methods-provenance) |
| [conclusion](#/conclusion) |