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Hyperparameter optimization with approximate gradient
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use approximate (inexact) hypergradient with decreasing tolerance (exponential sequence) instead of exact gradient (HOAG) (ablation) | HOAG hyperparameter optimization · 2-regularized logistic regression and kernel Ridge regression (20news, real-sim, Parkinson) | convergence time per iteration / overall convergence speed | Helped |
| Replace implicit-differentiation gradient with iterative differentiation (Domke 2012) using same inner solver | Iterdiff baseline vs HOAG · hyperparameter optimization benchmarks (Figure 3) | suboptimality vs time | Hurt |
| Use a quadratic (k^-2) instead of exponential tolerance decrease sequence (ablation) | HOAG · logistic regression / kernel ridge regression (Figure 2) | convergence stability | Hurt |
| Use exact gradient at every iteration (no tolerance sequence) (ablation) | HOAG · hyperparameter optimization (Figure 2) | convergence time | Hurt |
| Use the logistic loss as validation loss instead of zero-one loss for classification | 2-regularized logistic regression hyperparameter optimization · 20news, real-sim | differentiability requirement (A1) | No clear effect |
| Use backtracking line search for step size in Iterdiff instead of adaptive step size | Iterdiff · hyperparameter optimization benchmarks | performance | Hurt |
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