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Fine-Grained Causal Dynamics Learning with Quantization for Improving Robustness in Reinforcement Learning
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Proposes FCDL, a causal dynamics model that jointly learns a VQ codebook quantizing the state-action space into subgroups, with a local causal graph per subgroup, improving robustness of model-based RL to locally spurious correlations and unseen states.
Problem
Existing causal dynamics models infer only a global causal graph and miss context-dependent (fine-grained) causal relationships, while sample-specific approaches lack interpretable contexts; this hurts robustness in RL to unseen states and locally spurious correlations.
Approach
Quantize the state-action space with a discrete latent codebook (vector quantization) so each code pairs a subgroup (context) with a local causal graph (adjacency matrix), learned end-to-end with the dynamics model under sparsity regularization, with identifiability guarantees for local causal graphs and contexts.
Key results
- On Chemical full-fork test with n=2 noisy nodes, FCDL achieves 15.27 average reward vs 10.95 for NCD and 9.37 for CDL.
- On Chemical full-chain ID-to-OOD prediction accuracy at n=2, FCDL reaches 60.34% vs 40.04% for NCD and 34.90% for CDL.
- On Magnetic test, FCDL achieves 4.81 average reward vs 1.31 for NCD and 1.10 for CDL.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use subgroup quantization to infer context-specific local causal graphs instead of sample-specific dependency inference | FCDL versus NCD · Chemical full-fork and full-chain downstream tasks | average episode reward: 10.95 -> 15.27; 9.11 -> 14.73; 10.32 -> 13.62; 9.60 -> 13.36; 8.86 -> 12.35; 10.32 -> 12.00 | Helped |
| Use subgroup quantization to infer context-specific local causal graphs instead of sample-specific dependency inference | FCDL versus NCD · Magnetic Test | average episode reward: 1.31 -> 4.81 | Helped |
| Use subgroup quantization to infer context-specific local causal graphs instead of sample-specific dependency inference | FCDL versus NCD · Chemical downstream tasks with noisy nodes | prediction accuracy: 41.60 -> 66.44; 37.47 -> 58.49; 42.27 -> 49.09; 40.04 -> 60.34; 37.47 -> 56.64; 41.19 -> 53.29 | Helped |
| Set quantization degree K=2 rather than other tested quantization degrees (ablation) | FCDL · Chemical full-fork downstream tasks | average episode reward | Hurt |
| Use quantization degrees other than K=2 (ablation) | FCDL · Chemical full-fork downstream tasks | average episode reward | Helped |
| Set quantization degree K=1, yielding one global causal graph (ablation) | FCDL · Magnetic non-magnetic samples | structural Hamming distance: mean SHD score of 6 | Hurt |
Surprising findings
- Codebook size K=2 causes instability and codebook collapse, while K>2 trains stably.
Limitations
- Evaluated only on state-based environments with fully observable factored states; extension to high-dimensional image observations is left open.
- Choosing the number of codes K is not studied in depth; over-parametrization is assumed to be cheap.
- Identifiability guarantees rely on assumptions such as E-faithfulness and sufficient quantization degree K>=H.
Experimental setup
Datasets: Chemical Magnetic
Benchmarks: Chemical (full-fork) Chemical (full-chain) Magnetic
Metrics: average episode reward prediction accuracy structural hamming distance
Baselines: MLP Modular GNN NPS CDL GRADER Oracle NCD
Builds on: CDL NCD vector quantization (VQ-VAE) context-set specific independence Gumbel-Softmax
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