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Learning from Sparse Offline Datasets via Conservative Density Estimation

ICLR 2024 · Reinforcement learning › Offline RL · approach: Offline RL sample complexity theory · 0 citations (OpenAlex)

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Proposes Conservative Density Estimation (CDE), which applies pessimism directly to the stationary state-action distribution via f-divergence-regularized marginal importance sampling with an OOD mixture proposal, improving offline RL under sparse rewards and scarce data.

Problem

Offline RL suffers from OOD extrapolation errors, especially with sparse rewards or scarce data; DICE-style marginal importance sampling becomes unstable due to support mismatch between the dataset and the learned policy's stationary distribution.

Approach

Impose conservatism on the stationary state-action distribution by constraining its density on OOD state-actions (d^pi <= eps*mu), and use a mixture proposal of dataset and OOD distributions in importance sampling so the importance ratio is bounded; the value and policy are then extracted in closed form from the optimal ratio.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
use CDE instead of OptiDICEOffline RL · maze2d-umazenormalized score: 111.0 -> 134.1Helped
use CDE instead of OptiDICEOffline RL · maze2d-mediumnormalized score: 145.2 -> 146.1Helped
use CDE instead of OptiDICEOffline RL · maze2d-largenormalized score: 155.7 -> 210.0Helped
use CDE instead of IQLOffline RL · pen-humannormalized score: 71.5 -> 72.1Helped
use CDE instead of CQLOffline RL · hammer-humannormalized score: 4.4 -> 1.9Hurt
use CDE instead of CQLOffline RL · door-humannormalized score: 9.9 -> 7.7Hurt
use CDE instead of CQLOffline RL · relocate-humannormalized score: 0.2 -> 0.3Helped
use CDE instead of BCQOffline RL · pen-expertnormalized score: 114.9 -> 105.0Hurt
use CDE instead of OptiDICEOffline RL · hammer-expertnormalized score: 127.0 -> 126.3Hurt
use CDE instead of IQLOffline RL · door-expertnormalized score: 103.8 -> 105.9Helped
use CDE instead of IQLOffline RL · relocate-expertnormalized score: 102.7 -> 102.6Hurt
use CDE instead of CQLOffline RL · halfcheetah-mediumsuccess rate (%): 97.6 -> 82.0Hurt

Surprising findings

Limitations

Experimental setup

Datasets: D4RL Maze2D D4RL Adroit D4RL MuJoCo

Benchmarks: D4RL Maze2D D4RL Adroit sparse-MuJoCo

Metrics: normalized score success rate

Baselines: BC BCQ CQL IQL TD3+BC AlgaeDICE OptiDICE

Builds on: DICE OptiDICE Conservative Q-learning SAC D4RL

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