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Relative Policy-Transition Optimization for Fast Policy Transfer
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Proposes a value relativity lemma for policy and dynamics transfer between two MDPs and builds RPO, RTO and their combination RPTO, which transfer a source-trained policy to a target MDP with fewer target interactions.
Problem
Policy transfer between a source and target MDP whose dynamics differ, where target interactions are expensive and should be minimized.
Approach
A value relativity lemma decomposes the return gap between two MDPs with different policies and dynamics into a dynamics-induced gap (telescoping lemma) and a policy-induced gap (policy improvement theorem). This yields RPO (policy update using target samples and source-evaluated Q), RTO (weighted model learning in the source to reduce the dynamics gap), and RPTO, which runs both in one closed loo
Key results
- On MuJoCo transfer tasks with ±20% joint length and friction variation, RPTO transfers faster and converges to better asymptotic return than SAC-warm, TRPO-warm, MBPO, SLBO, PTP and PDML (per the paper's claims; figure values not extracted).
- In CartPole, RPO alone transfers the policy to a pole length of 1.2 faster than SAC-warm, but fails as the pole-length gap grows.
- RTO recovers the true target pole length by optimizing a single trainable physical parameter.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use RPTO instead of the transfer baselines | Policy transfer on MuJoCo tasks · MuJoCo continuous control tasks | return | Helped |
| Use RPO instead of SAC-warm | CartPole policy transfer with pole length 1.2 · CartPole | transfer speed | Helped |
| Use RPO without RTO when the target pole length differs more from the source | CartPole policy transfer · CartPole with larger pole-length differences | policy stability | Hurt |
| Optimize the dynamics parameter with RTO | CartPole dynamics model · CartPole | pole-length convergence | Helped |
| Use RPTO instead of the other methods | CartPole policy transfer with target pole length 2.0 · CartPole | transfer speed | Helped |
Surprising findings
- RPO fails to transfer when the dynamics gap between source and target is large, so a dynamics-update component is needed.
Limitations
- RPO requires a small dynamics gap between source and target to succeed.
- Theoretical bounds rely on total-variation discrepancy and bounded advantage assumptions that may be loose.
- Deterministic physical dynamics model in CartPole is not general and requires environment-specific engineering.
Experimental setup
Datasets: MuJoCo Ant MuJoCo Hopper MuJoCo HalfCheetah MuJoCo Walker2d MuJoCo Swimmer CartPole
Benchmarks: MuJoCo Ant MuJoCo Hopper MuJoCo HalfCheetah MuJoCo Walker2d MuJoCo Swimmer CartPole
Metrics: episodic return
Baselines: SAC-warm TRPO-warm MBPO SLBO PTP PDML
Builds on: SAC MBPO policy improvement theorem telescoping lemma TRPO
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