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DISCOVER: Automated Curricula for Sparse-Reward Reinforcement Learning
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Proposes DISCOVER, a goal-selection method for sparse-reward goal-conditioned RL that picks achievable, novel, and target-relevant exploratory goals using an ensemble of TD3 critics, with a regret-style bound independent of goal-space volume.
Problem
Exploration in sparse-reward RL for single very hard, high-dimensional, long-horizon target tasks, where undirected goal-conditioned exploration becomes intractable.
Approach
Select exploratory goals from achieved goals by maximizing a UCB-style objective combining achievability V(s0,g), novelty sigma(s0,g), and relevance V(g,g*) estimated from an ensemble of critics, so exploration is bootstrapped toward the target without prior information; an online rule adapts the trade-off to a 50% goal achievement rate.
Key results
- DISCOVER reaches 10% target achievement in pointmazes up to 6 dimensions (e.g., 18.7M steps at dimension 6), whereas HER, MEGA and Achievability+Novelty fail (infinite) beyond dimension 2-3.
- DISCOVER consistently outperforms goal-selection baselines across pointmaze, antmaze and arm environments, learning difficult target tasks significantly faster.
- State-of-the-art non-goal-conditioned exploration methods (curiosity-based, e.g. MaxInfoRL with SAC) fail to reach the target task within the maximum episodes even in simple configurations.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use directed relevance in addition to achievability and novelty | DISCOVER goal selection · pointmaze 2D | steps to 10% target goal achievement (M): 5.2 -> 2.9; 4.8 -> 2.9 | Helped |
| Use directed relevance in addition to achievability and novelty | DISCOVER goal selection · pointmaze 3D–6D | 10% target goal achievement before termination | Helped |
| Remove the relevance term, using only achievability and novelty (ablation) | DISCOVER · pointmaze 2D–6D | steps to 10% target goal achievement (M): 2.9 vs 5.2; 3.1 vs ∞; 7.4 vs ∞; 5.4 vs ∞; 18.7 vs ∞ | Hurt |
| Replace bootstrapped relevance with a pre-trained prior (ablation) | DISCOVER · antmaze hard | exploration speed | Helped |
| Replace bootstrapped relevance with hand-designed L2 target distance (ablation) | DISCOVER · antmaze hard | exploration speed | Mixed |
| Add Gaussian noise to the hand-designed target-direction estimate (ablation) | Directed goal selection · pointmaze high dimensions | ability to reach 10% target goal achievement | Helped |
| Use online adaptation of α instead of fixing α (ablation) | DISCOVER · antmaze | success rate | Helped |
| Set target goal achievement to 50% in online adaptation (ablation) | DISCOVER · antmaze | success rate | Helped |
| Fix α at 0.5 instead of adapting it (ablation) | DISCOVER · antmaze | exploration | Hurt |
| Fix α at 0 instead of adapting it (ablation) | DISCOVER · antmaze | improvement | Hurt |
| Vary the coefficient of σ(g,g*) (ablation) | DISCOVER · antmaze | performance | No clear effect |
| Vary the number of value-function ensemble members (ablation) | DISCOVER · antmaze hard | exploration and task performance | Mixed |
Surprising findings
- In the arm environment, HER outperforms some undirected goal-selection strategies, which the authors attribute to irrelevant exploration in an unconstrained goal space.
- Adding a sigma(g, g*) uncertainty term for relevance showed no significant positive effect on performance, so it was dropped in other experiments.
Limitations
- Relies on bootstrapped value estimates whose quality depends on value-network generalization.
- Training an ensemble of critics adds overhead, limiting use with large critic networks such as language models.
- Theory holds only in a simplified linear bandit setting with strong assumptions (linear value features, achievability, geodesic convexity).
Experimental setup
Datasets: JaxGCRL pointmaze JaxGCRL antmaze JaxGCRL arm randomly generated n-dimensional pointmazes
Benchmarks: pointmaze (2-6 dimensions) antmaze (simple and hard) arm (simple and hard)
Metrics: success rate on target goal environment steps to 10% target goal achievement goal achievement rate
Baselines: HER DISCERN (uniform) MEGA Achievability + Novelty MaxInfoRL (SAC)
Builds on: TD3 Hindsight Experience Replay MEGA DISCERN UCB
Closest papers by meaning
- First-Explore, then Exploit: Meta-Learning to Solve Hard Exploration-Exploitation Trade-Offs (NeurIPS 2024 · similarity 0.90)
- Learning Process Rewards via Visitation Matching for Efficient RL (NeurIPS 2026 · similarity 0.90)
- Decoupling Exploration and Policy Optimization: Uncertainty Guided Tree Search for Hard Exploration (NeurIPS 2026 · similarity 0.90)
- A Single Goal is All You Need: Skills and Exploration Emerge from Contrastive RL without Rewards, Demonstrations, or Subgoals (ICLR 2025 · similarity 0.90)
- MaxInfoRL: Boosting exploration in reinforcement learning through information gain maximization (ICLR 2025 · similarity 0.89)
- DeepSearch: Overcome the Bottleneck of Reinforcement Learning with Verifiable Rewards via Monte Carlo Tree Search (ICLR 2026 · similarity 0.89)
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