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Reverse engineering learned optimizers reveals known and novel mechanisms

NeurIPS 2021 · Optimization › Optimizers · approach: Adam convergence and adaptive learning rates · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the learned optimizer instead of tuned momentum, RMSProp, or AdamLinear regression · Linear regressionmeta-objectiveHelped
Use the learned optimizer instead of tuned momentum, RMSProp, or AdamRosenbrock · Rosenbrockmeta-objectiveHelped
Use the learned optimizer instead of tuned momentum, RMSProp, or AdamTwo moons · Two moonsmeta-objectiveHelped
Use the learned optimizer instead of tuned momentum, RMSProp, or AdamMNIST CNN · MNIST classificationmeta-objectiveHelped
Use multiple momentum-like state modesLearned optimizers · Linear regression, Rosenbrock, Two moons, and MNISTeffective learning rate and momentum dynamicsMixed
Saturate the update function for large gradientsLearned optimizers · Rosenbrockupdate magnitude for large gradientsHelped
Use autonomous state dynamics to vary the learning rate over timeLearned optimizers · Linear regression and MNISTeffective learning rateMixed
Reduce the learning rate after encountering large gradientsLearned optimizers · Linear regression, Rosenbrock, and Two moonseffective learning rateHelped
Use a fixed-point manifold to adapt learning rates across parameter trajectoriesMNIST learned optimizer · MNIST classificationeffective learning rateMixed
Tune learning rates by parameter type and layerMNIST learned optimizer · MNIST classificationeffective learning rateMixed

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