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SUMO: Search-Based Uncertainty Estimation for Model-Based Offline Reinforcement Learning

AAAI 2025 · Reinforcement learning › Offline RL · approach: Pessimism and uncertainty in offline RL · 4 citations (OpenAlex)

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Proposes SUMO, a search-based uncertainty estimator for model-based offline RL that uses a KNN-based particle estimate of cross entropy between model and dataset dynamics, plugged into MOPO and AMOReL.

Problem

Model ensemble uncertainty estimates used in model-based offline RL to penalize rewards or truncate synthetic trajectories are unreliable and tied to training, so a better uncertainty estimator is needed.

Approach

Measure uncertainty of synthetic transitions as the cross entropy between model dynamics and dataset dynamics, estimated with a particle-based entropy estimator that reduces to a k-nearest-neighbor distance search (via FAISS) over concatenated (s, a, s') vectors, requiring no extra neural network training.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace MOPO uncertainty estimation with SUMOMOPO · D4RL MuJoCo v2 (15-task average)normalized score: 59.7 -> 69.3Helped
Replace AMOReL uncertainty estimation with SUMOAMOReL · D4RL MuJoCo v2 (15-task average)normalized score: 72.2 -> 80.3Helped
Replace MOReL uncertainty estimation with SUMOMOReL · D4RL MuJoCo v2 (15-task average)normalized score: 70.7 -> 75.1Helped
Add SUMO uncertainty estimationMOBILE · D4RL MuJoCo v2 (15-task average)normalized score: 85.6 -> 88.2Helped
Replace MOPO uncertainty estimation with SUMOMOPO · D4RL Antmaze v0 (6-task average)success rate: 0.0 -> 9.2Helped
Replace AMOReL uncertainty estimation with SUMOAMOReL · D4RL Antmaze v0 (6-task average)success rate: 0.0 -> 3.3Helped
Include action and next state in the search vector (s⊕a⊕s′ instead of s⊕s′) (ablation)SUMO · D4RL MuJoCo (6 selected datasets)Spearman rank correlation (ρ): 0.56 -> 0.83Helped
Include action and next state in the search vector (s⊕a⊕s′ instead of s⊕a) (ablation)SUMO · D4RL MuJoCo (6 selected datasets)Spearman rank correlation (ρ): 0.63 -> 0.83Helped
Replace Euclidean distance with Manhattan distance (ablation)MOPO+SUMO · D4RL MuJoCo (6 selected datasets)normalized score (average): 75.8 -> 75.5No clear effect
Replace Euclidean distance with Cosine similarity (ablation)MOPO+SUMO · D4RL MuJoCo (6 selected datasets)normalized score (average): 75.8 -> 74.3No clear effect
Set KNN neighbor count to 5 instead of 1 (ablation)SUMO · D4RL MuJoCo (6 selected datasets)Spearman rank correlation (ρ): 0.83 -> 0.82No clear effect
Set KNN neighbor count to 10 instead of 1 (ablation)SUMO · D4RL MuJoCo (6 selected datasets)Spearman rank correlation (ρ): 0.83 -> 0.81No clear effect

Surprising findings

Limitations

Experimental setup

Datasets: D4RL halfcheetah D4RL hopper D4RL walker2d D4RL antmaze

Benchmarks: D4RL MuJoCo D4RL Antmaze

Metrics: normalized score success rate Spearman rank correlation Pearson correlation

Baselines: MOPO MOReL MOBILE AMOReL COMBO RAMBO Max Aleatoric Max Pairwise Diff LOO KL Divergence EDAC DARL

Builds on: MOPO MOReL SAC FAISS

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