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NASDAQ: Normalized Observation Space Dynamics-Augmented Q-Learning
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Identifies unbalanced per-dimension reconstruction losses as the bottleneck of observation-predictive RL on low-dimensional tasks, proposes SARON (robust, shift-adaptive observation normalization) and NASDAQ, a TD3-based framework that adds normalized next-observation prediction and short-term value prediction auxiliary tasks.
Problem
Observation-predictive RL (e.g., OFENet) performs poorly on challenging low-dimensional control tasks because reconstruction losses are dominated by high-range observation dimensions, neglecting small-range ones.
Approach
Normalize low-dimensional observations with an online, episode-based EMA normalizer (SARON) that excludes outlier low-return episodes, so per-dimension reconstruction losses and gradients are balanced; then perform coupled dynamics prediction in the normalized observation space, unified with pixel min-max normalization across low- and high-dimensional inputs.
Key results
- NASDAQ with SARON achieves Gym IQM 1.50 and DMC (proprioceptive) mean 805 / IQM 898, the best among compared methods including MR.Q (791 mean) and OFENet+TD3 (567 mean).
- On DMC (visual), NASDAQ reaches mean 606 and IQM 701, above MR.Q (598 / 686) and DreamerV3 (463 / 452).
- SARON improves OFENet+TD3 on Gym (mean 1.48 to 1.64) and DMC proprioceptive (mean 567 to 587), and NASDAQ w/o auxiliary tasks with SARON reaches DMC mean 744 vs 593 without ON.
Surprising findings
- Short-term value prediction slightly hurts performance on low-dimensional (non-visual) tasks while helping visual tasks, attributed to a bias-variance trade-off.
- NASDAQ trains faster than the model-free DrQ-v2 baseline in visual settings because its encoder parameters are reused across objectives.
Limitations
- Benchmark-level auxiliary loss weights are fixed and not universal across benchmarks; no adaptive weighting.
- SARON only applies to low-dimensional observations; no normalization for high-dimensional inputs beyond min-max for pixels.
- Short-term value prediction gives a slight negative effect on non-visual tasks.
Experimental setup
Datasets: Gym (MuJoCo -v5) DMC (proprioceptive) DMC (visual) Atari100k
Benchmarks: Gym DMC (proprioceptive) DMC (visual) Atari100k
Metrics: mean median interquartile mean (IQM) deep-TD3-normalized score human-normalized score training wall-time
Baselines: OFENet+TD3 TD7 SPR TD-MPC2 DreamerV3 MR.Q DrQ-v2 Rainbow (enhanced) simple ON (SB3)
Builds on: OFENet TD3 MR.Q SPR Adam
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