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Bilevel Programming for Hyperparameter Optimization and Meta-Learning
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| learn a shared representation with RN and train task-specific classifiers using bilevel training/validation splits | MiniImagenet few-shot learning · MiniImagenet 5 classes, 1-shot | accuracy: 50.54 ± 0.85 vs 55.71±0.99 | Mixed |
| use a residual network rather than C4L for the representation (ablation) | Hyper-representation · MiniImagenet few-shot learning | accuracy: relative improvement of 6.5% on one-shot and 4.2% on five-shot | Helped |
| use a bilevel representation objective with training/validation splitting rather than training-set loss (ablation) | Hyper-representation-C4L · MiniImagenet 5 classes, 1-shot | accuracy: 29.63 -> 47.51 | Helped |
| include the inner optimization dynamics when computing the hypergradient (ablation) | Hyper-representation-C4L · MiniImagenet 5 classes, 1-shot | accuracy: 41.12 -> 47.51 | Helped |
| use validation sets and the full hypergradient instead of training sets with an approximate hypergradient (ablation) | Hyper-representation-C4L · MiniImagenet 5 classes, 1-shot | accuracy: 38.80 -> 47.51 | Helped |
| learn the shared representation bilevelly rather than jointly optimizing it with task classifiers on training losses (ablation) | Hyper-representation-C4L · MiniImagenet 5 classes, 1-shot | accuracy: 40.46 -> 47.51 | Helped |
| increase inner optimization steps from 10 to 250 (ablation) | Bilevel ridge regression hyperparameter optimization · Synthetic regression test set | MAPE: 43.49 -> 0.50 | Helped |
| use 250 inner iterations instead of exact inner optimization (ablation) | Bilevel ridge regression hyperparameter optimization · Synthetic regression test set | MAPE: 0.50 vs 0.57 | No clear effect |
| use a small number of inner optimization steps as implicit regularization (ablation) | Linear hyper-representation optimization · Omniglot-derived hyperparameter optimization problem | test accuracy | Helped |
Closest papers by meaning
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- Scalable Meta-Learning via Mixed-Mode Differentiation (ICML 2025 · similarity 0.87)
- Efficient Curvature-Aware Hypergradient Approximation for Bilevel Optimization (ICML 2025 · similarity 0.87)
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