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Hyperparameter optimization with approximate gradient

ICML 2016 · Optimization › Optimizers · approach: Differentiating through inner loops · 132 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
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 speedHelped
Replace implicit-differentiation gradient with iterative differentiation (Domke 2012) using same inner solverIterdiff baseline vs HOAG · hyperparameter optimization benchmarks (Figure 3)suboptimality vs timeHurt
Use a quadratic (k^-2) instead of exponential tolerance decrease sequence (ablation)HOAG · logistic regression / kernel ridge regression (Figure 2)convergence stabilityHurt
Use exact gradient at every iteration (no tolerance sequence) (ablation)HOAG · hyperparameter optimization (Figure 2)convergence timeHurt
Use the logistic loss as validation loss instead of zero-one loss for classification2-regularized logistic regression hyperparameter optimization · 20news, real-simdifferentiability requirement (A1)No clear effect
Use backtracking line search for step size in Iterdiff instead of adaptive step sizeIterdiff · hyperparameter optimization benchmarksperformanceHurt

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