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Spatial-Aware Decision-Making with Ring Attractors in Reinforcement Learning Systems
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Integrates ring attractor networks as a circular action-selection mechanism into RL agents (exogenous CTRNN-based and RNN-based DL module), reporting a 53% mean improvement over EfficientZero on Atari 100k.
Problem
Action selection in RL ignores topological relations between actions (actions are treated as orthogonal outputs), so spatial structure and uncertainty are not exploited in decision-making, slowing learning in spatially structured tasks.
Approach
Map actions to positions on a ring, set each action's Q-value as the amplitude of a Gaussian input to a Touretzky-style ring attractor (CTRNN) or a ring-structured RNN output layer, with Bayesian linear regression providing per-action variance; the decoded attractor bump gives the selected action.
Key results
- On Atari 100k, EffZeroRA reaches a human-normalised mean of 1.454 vs 0.959 for re-run EfficientZero (about 53% average improvement claimed).
- Largest gains reported on Asterix (31037.3 vs 14839.3) and Boxing (62.4 vs 30.5), roughly 110% and 105% improvements.
- CTRNN exogenous ring attractor models incur a mean computational overhead of 297.3% over the baseline, motivating the DL implementation.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add a ring-attractor action-selection module to EfficientZero | EfficientZero · Atari 100k (19 games) | mean human-normalized score: 0.959 -> 1.454 | Helped |
| Add a ring-attractor action-selection module to EfficientZero | EfficientZero · Atari 100k (19 games) | median human-normalized score: 0.403 -> 0.531 | Helped |
| Use the ring-attractor module | EfficientZero · Atari 100k | score: 13871.2 -> 15672.0; 350.1 -> 416.4 | Mixed |
| Add a ring attractor to PPO | PPO · OpenAI Gym Super Mario Bros | performance: +71.4% | Helped |
| Add uncertainty awareness to the ring-attractor behavior policy | BDQN · OpenAI Super Mario Bros; OpenAI highway | mean episodic return | Helped |
| Randomly rearrange action placements in the ring (ablation) | BDQNRA-UA · OpenAI Gym Super Mario Bros | cumulative reward | Hurt |
| Remove circular weight distribution from input-to-hidden and hidden-to-hidden connections (ablation) | RNN-based ring-attractor agent · Atari 100k: Ms Pacman and Chopper Command | mean episodic return | Hurt |
Surprising findings
- Exogenous CTRNN ring attractor incurred roughly 297% computational overhead, motivating a DL reimplementation.
- Random (incorrect) action placement on the ring degraded performance, supporting that topology matters.
Limitations
- Evaluation is limited to discrete or 1-D circular action spaces; continuous control and multi-agent settings are not tested.
- Reported 53% gain is relative to a re-run EfficientZero baseline and averaged over games; mean improvement claims rely on a single comparison set.
- Ring topology may offer little benefit when the action count is small (|A|<3) or actions lack spatial relations.
Experimental setup
Datasets: Atari 100k OpenAI Gym Super Mario Bros OpenAI highway
Benchmarks: Atari 100k OpenAI Gym Super Mario Bros OpenAI highway
Metrics: game score human-normalised mean score human-normalised median score cumulative reward mean episodic return
Baselines: EfficientZero SPR CURL BDQN DDQN PPO
Builds on: EfficientZero BDQN DDQN PPO Touretzky ring attractor model
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