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Dynamic Prompt Learning via Policy Gradient for Semi-structured Mathematical Reasoning
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Learn to select in-context examples with policy gradient instead of selecting them randomly | Few-shot-CoT GPT-3 · TabMWP test | accuracy: 5.31% | Helped |
| Learn to select examples dynamically with policy gradient rather than random selection | Few-shot-CoT GPT-3 · TabMWP development (1,000 examples) | accuracy: 65.2 $\pm$ 4.01 -> 70.9 $\pm$ 1.27 | Helped |
| Select examples with the same question type instead of random examples | Few-shot-CoT GPT-3 · TabMWP development (1,000 examples) | accuracy: 65.2 $\pm$ 4.01 -> 66.2 $\pm$ 0.60 | Helped |
| Select examples with the same answer type instead of random examples | Few-shot-CoT GPT-3 · TabMWP development (1,000 examples) | accuracy: 65.2 $\pm$ 4.01 -> 67.9 $\pm$ 0.38 | Helped |
| Select examples from the same grade level instead of random examples | Few-shot-CoT GPT-3 · TabMWP development (1,000 examples) | accuracy: 65.2 $\pm$ 4.01 -> 67.9 $\pm$ 1.87 | Helped |
| Select the most complex examples by table-cell count | Few-shot-CoT GPT-3 · TabMWP development (1,000 examples) | accuracy: 65.2 $\pm$ 4.01 -> 64.0 $\pm$ 0.42 | Hurt |
| Increase randomly selected in-context examples from 2 to 4 | Few-shot-CoT GPT-3 · TabMWP development (1,000 examples) | accuracy: 65.2 $\pm$ 4.01 -> 67.7 $\pm$ 0.78 | Helped |
| Increase randomly selected in-context examples from 4 to 5 | Few-shot-CoT GPT-3 · TabMWP development (1,000 examples) | accuracy: 67.7 $\pm$ 0.78 -> 67.5 $\pm$ 0.98 | Hurt |
| Remove the table context from the input (ablation) | Zero-shot GPT-3 on TabMWP · TabMWP development | accuracy: 6.10% | Hurt |
| Remove the question text from the input (ablation) | Zero-shot GPT-3 on TabMWP · TabMWP development | accuracy: 7.00% | Hurt |
| Add more training examples beyond around 160 (ablation) | PromptPG · TabMWP development | accuracy | Hurt |
| Increase the candidate pool beyond its effective threshold (ablation) | PromptPG · TabMWP development | accuracy | Hurt |
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