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The Courage to Stop: Overcoming Sunk Cost Fallacy in Deep Reinforcement Learning
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Proposes LEAST, a lightweight rule that stops and resets episodes early when the current Q-value falls below a median-based threshold scaled by gradient-based learning potential, to counter the sunk cost fallacy in off-policy deep RL.
Problem
Off-policy deep RL agents are forced to complete episodes even in unproductive trajectories, which wastes environment interactions and fills the replay buffer with uninformative transitions, hurting sample efficiency.
Approach
Learn when to stop: compare the current Q-value against a per-step median of recent episodes' Q-values, modulated by a gradient-magnitude-based learning potential weight, and terminate and reset the episode when the Q-value falls below that threshold; add entropy-aware buffer sizing and noise escalation on frequent early stops.
Key results
- On MuJoCo, LEAST improves TD3, SAC and REDQ learning efficiency and final performance across four challenging tasks, with SAC+LEAST reaching performance comparable to DroQ and REDQ+LEAST achieving the highest overall normalized scores.
- On DMC image tasks, LEAST on DrQv2 converges about 30% faster on Finger Turn Hard and outperforms CURL and A-LIX, approaching TACO without extra networks.
- Ablation: median threshold and median-based weighting are more stable than the mean; sigma-bar in [0.25, 0.35] is optimal for TD3 and [0.15, 0.25] for SAC.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| add LEAST early stopping | SAC · PointMaze | score | Helped |
| add LEAST | TD3, SAC, and REDQ · MuJoCo tasks | normalized score | Helped |
| add LEAST | DrQv2 · Finger Turn Hard | training steps to convergence: approximately 30% faster | Helped |
| add LEAST | DrQv2 · DeepMind Control tasks | normalized score | Helped |
| add LEAST | TD3 · HalfCheetah | final score | Helped |
| add LEAST | TD3 · HalfCheetah | early learning speed | Hurt |
| increase exploration noise σ̄ (ablation) | TD3 with LEAST · MuJoCo | normalized performance: 0.684 ± 0.026; 0.695 ± 0.035; 0.694 ± 0.028; 0.671 ± 0.049 | Mixed |
| increase exploration noise σ̄ (ablation) | SAC with LEAST · MuJoCo | normalized performance: 0.697 ± 0.032; 0.706 ± 0.039; 0.688 ± 0.057; 0.663 ± 0.074 | Mixed |
| vary early-stop length threshold e (ablation) | TD3 with LEAST · MuJoCo | normalized performance: 0.681 ± 0.062; 0.685 ± 0.028; 0.696 ± 0.037; 0.679 ± 0.053 | Mixed |
| vary early-stop length threshold e (ablation) | SAC with LEAST · MuJoCo | normalized performance: 0.692 ± 0.038; 0.706 ± 0.039; 0.696 ± 0.034; 0.701 ± 0.036 | Mixed |
| vary entropy threshold parameter γ (ablation) | TD3 with LEAST · DMC and MuJoCo | normalized performance: DMC: 0.724 ± 0.047, 0.743 ± 0.052, 0.756 ± 0.076, 0.712 ± 0.056, 0.715 ± 0.042; MuJoCo: 0.683 ± 0.043, 0.706 ± 0.039, 0. | Mixed |
| vary LEAST start time (ablation) | TD3 with LEAST · Ant and Quadruped run | score: Ant: 5492.48 ± 318.71, 6647.57 ± 441.39, 6836.36 ± 305.43, 6408.22 ± 246.13; Quadruped run: 947.61 ± 32.25, 953.28 ± 26. | Mixed |
Surprising findings
- LEAST may increase score variance across seeds, with wider spreads and outliers in box plots.
- Increasing UTD slowed policy optimization for TD3 with LEAST, attributed to inaccurate Q-function fitting at high UTD.
Limitations
- Stability and score variance can worsen; more robust evaluators are needed.
- Many sensitive hyperparameters (thresholds, start time, buffer size, noise schedule) are tuned with default baseline settings rather than full sweeps.
- Post-reset agents may re-enter previously suboptimal trajectories without additional noise diversification.
Experimental setup
Datasets: MuJoCo DeepMind Control Suite PointMaze
Benchmarks: MuJoCo DeepMind Control Suite PointMaze
Metrics: normalized score sample efficiency (steps to reach baseline max score) final performance fraction of active units
Baselines: TD3 SAC REDQ DroQ DrQv2 CURL A-LIX TACO
Builds on: TD3 SAC REDQ DrQv2 DroQ
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