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Deep symbolic regression: Recovering mathematical expressions from data via risk-seeking policy gradients

ICLR 2021 · Learning theory and algorithms › Combinatorial and search optimization · approach: Differentiable and symbolic reasoning · 49 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use DSR rather than the strongest baseline on the Nguyen suiteSymbolic regression · Nguyen suite averagerecovery rate: 83.6% vs 75.2%Helped
Replace the risk-seeking objective with standard policy gradients (ablation)DSR · Nguyen suite averagerecovery rate: 83.6% vs 46.7%Hurt
Train with risk-seeking policy gradients instead of standard policy gradients (ablation)DSR on Nguyen-8 · Nguyen-8best-expression rewardHelped
Use standard policy gradients rather than risk-seeking gradients (ablation)DSR on Nguyen-8 · Nguyen-8mean reward over the full batchHelped
Add post hoc constraints to GP (ablation)GP · Nguyen benchmarksrecovery rate: 60.1% to 32.3%Hurt
Increase training dataset size by 10-fold (ablation)DSR and baselines · Noisy Nguyen benchmarksrecovery rateMixed
Add Gaussian noise to the training targets (ablation)DSR and baselines · Noisy Nguyen benchmarksrecovery rateMixed
Add Gaussian noise directly to the rewardDSR rather than PQT · Nguyen-4recovery rateHelped
Replace risk-seeking gradients with priority queue trainingDSR framework · Nguyen suiterecovery rate: 83.6% vs 75.2%Hurt

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