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Listwise Reward Estimation for Offline Preference-based Reinforcement Learning

ICML 2024 · Reinforcement learning › RL from feedback · approach: Preference-based RL reward learning · 0 citations (OpenAlex)

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Proposes LiRE, which builds a ranked list of trajectories with binary-insertion sorting using ternary feedback and trains a reward model on the resulting pairs with a linear score function, plus a new offline PbRL benchmark on Meta-World and DMControl.

Problem

Offline preference-based RL learns reward models from independently sampled ternary pairwise preferences, which cannot capture second-order (relative strength) preference, and existing D4RL benchmarks are insensitive to reward quality.

Approach

Sequentially insert newly sampled trajectories into a ranked list via binary insertion sort using the same ternary feedback, then derive all pairwise labels from the list so the reward model learns second-order preference; combine with a linear score function (phi(x)=x) and tanh-bounded reward output.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add RLT construction to MR using the exponential score function (ablation)MR · button-press-topdown, box-close, dial-turn and lever-pull medium-replay, 500 feedbackssuccess rate: 9.60 -> 12.87; 10.33 -> 22.73; 50.20 -> 65.87; 50.53 -> 57.87Helped
Replace the exponential score function with the linear score function (ablation)LiRE with RLT · button-press-topdown, box-close, dial-turn and lever-pull medium-replay, 500 feedbackssuccess rate: 12.87 -> 67.20; 22.73 -> 51.53; 65.87 -> 79.07; 57.87 -> 95.67Helped
Add RLT construction (ablation)MR with linear score function · button-press-topdown, box-close, dial-turn and lever-pull medium-replay, 500 feedbackssuccess rate: 36.87 -> 67.20; 11.27 -> 51.53; 77.27 -> 79.07; 70.20 -> 95.67Helped
Increase the RLT feedback budget per list from Q=1 to Q=500 (ablation)LiRE · button-press-topdown and lever-pull medium-replay, 500 total feedbackssuccess rate: 36.87 { $\pm$ 13.75} -> 77.67 { $\pm$ 18.13}; 70.20 { $\pm$18.03} -> 99.33 { $\pm$ 1.18}Helped
Train the reward model with listwise instead of pairwise loss (ablation)LiRE · button-press-topdown-wall, sweep and sweep-into medium-replay, 500 feedbackssuccess rate: 79.13 -> 17.73; 77.53 -> 99.53; 49.13 -> 63.47Mixed
Use LiRE instead of SeqRank with linear scoreSeqRank · Meta-World medium-replay, 500 feedbacksaverage success rate: 61.84 { $\pm$ 15.80} -> 74.83 { $\pm$ 12.23}Helped
Use LiRE instead of SeqRank with linear scoreSeqRank · Meta-World medium-replay, 1000 feedbacksaverage success rate: 67.49 { $\pm$ 13.56} -> 82.92 { $\pm$ 6.48}Helped

Surprising findings

Limitations

Experimental setup

Datasets: Meta-World medium-replay Meta-World medium-expert DMControl medium-replay

Benchmarks: Meta-World medium-replay Meta-World medium-expert DMControl medium-replay

Metrics: average success rate average episode return feedback efficiency sample diversity number of groups in ranked list

Baselines: MR Preference Transformer OPRL IPL DPPO SeqRank

Builds on: SeqRank Bradley-Terry model Preference Transformer IQL PEBBLE

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