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Relaxed Stationary Distribution Correction Estimation for Improved Offline Policy Optimization

AAAI 2024 · Reinforcement learning › Offline RL · approach: Pessimism and uncertainty in offline RL · 2 citations (OpenAlex)

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Proposes PORelDICE, which relaxes the positivity constraint in f-divergence-regularized implicit policy optimization (DICE) and adds an auxiliary function to reduce bias, improving offline RL on D4RL.

Problem

Implicit policy optimization via stationary distribution correction estimation (DICE) underperforms in offline RL, especially on large environments and low-quality datasets, due to biased estimates and the zero-gradient shape of the f-divergence conjugate function.

Approach

Relax the positivity constraint on the state-action visitation ratio to a lower bound epsilon (<0), giving a conjugate function with a non-decreasing lower tail and lower-bounded gradient, and add an auxiliary function U(s,a) to alleviate the optimistic-transition bias; the relaxation also lets low-advantage samples contribute to the value update.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Apply PORelDICE instead of SQL (w/ trick)Offline RL on Gym-Mujoco · Gym-Mujoco-totalnormalized score: 703.2 -> 733.8Helped
Apply PORelDICE instead of IQLOffline RL on Antmaze · Antmaze-totalnormalized score: 382.5 -> 360.0Hurt
Apply PORelDICE instead of SQL (w/ trick)Offline RL on Kitchen · Kitchen-totalnormalized score: 181.0 -> 188.0Helped
Add the SQL trick to SQL (ablation)SQL on Gym-Mujoco · Gym-Mujoco-totalnormalized score: 668.8 -> 703.2Helped
Add the SQL trick to SQL (ablation)SQL on Antmaze · Antmaze-totalnormalized score: 351.4 -> 353.8Helped
Add the SQL trick to SQL (ablation)SQL on Kitchen · Kitchen-totalnormalized score: 178.0 -> 181.0Helped

Surprising findings

Experimental setup

Datasets: D4RL Gym-MuJoCo D4RL Antmaze D4RL Kitchen

Benchmarks: D4RL Gym-MuJoCo D4RL Antmaze D4RL Kitchen

Metrics: normalized score return learning curves

Baselines: BC CQL IQL SQL (w/ trick) SQL (w/o trick) OptiDICE

Builds on: OptiDICE AlgaeDICE Sparse Q-learning Implicit Q-learning

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