Research map / Reinforcement learning / Policy gradient and actor-critic
Stable Gradients for Stable Learning at Scale in Deep Reinforcement Learning
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Shows that gradient vanishing under non-stationarity causes scaling failures in deep RL, and fixes it with multi-skip residual MLPs plus the Kron (Kronecker-factored) optimizer, improving PQN, PPO, Simba and offline Q-learning at scale.
Problem
Deep RL networks degrade in performance when scaled in depth and width; the root causes, especially the interplay of non-stationarity and gradient pathologies, are poorly understood.
Approach
Diagnose scaling failure as gradient degradation under non-stationarity, then stabilize gradient flow with two simple interventions: multi-skip residual connections broadcasting encoder features to all MLP blocks, and a second-order Kronecker-factored optimizer (Kron) replacing RAdam/Adam.
Key results
- Combined interventions on PQN outperform the baseline in 90% of 57 ALE games, with a median relative improvement of 83.27%.
- Applying the same interventions to PPO yields a median improvement of 31.40% on the full ALE and outperforms baseline in 83.64% of games.
- Kron optimizer prevents performance collapse of deep MLPs in PQN on Atari-10, and multi-skip residuals keep PQN trainable across all scales studied.
Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Add multi-skip residual connections and Kron | PQN · Full ALE | games outperformed (%): 90% | Helped |
| Add multi-skip residual connections and Kron | PQN · Full ALE | median relative improvement: 83.27% | Helped |
| Add multi-skip residual connections and Kron | PPO · Full ALE | games outperformed (%): 83.64% | Helped |
| Add multi-skip residual connections and Kron | PPO · Full ALE | median relative improvement: 31.40% | Helped |
| Increase encoder skips from 1 to 5 residual blocks (ablation) | MultiSkip PQN · Atari-10 | aggregate mean HNS: 0.25 -> 0.58 | Helped |
| Replace RAdam with Kron | PQN · Atari-10 | HNS | Helped |
| Replace AdamW with Kron | Simba with SAC and DDPG · DeepMind Control Suite | performance | Helped |
Surprising findings
- The baseline PQN is competitive with strong agents such as Rainbow, even before the interventions are applied.
- Several widely used alternatives (cosine/cyclic LR, GELU, CReLU, L2 norm, weight clipping, weight decay) did not consistently improve scaling performance compared with the proposed combination.
Limitations
- Computational resources limited exploration of architectures beyond a certain size.
- Second-order Kron optimizer adds significant computational overhead relative to Adam/RAdam.
- Proposed interventions are described by the authors as not necessarily optimal, serving as a baseline.
Experimental setup
Datasets: Atari-10 ALE (57 games) CIFAR-10 IsaacGym Cartpole and Anymal DeepMind Control Suite (Humanoid Walk/Run, Dog Trot/Run) OGBench offline RL tasks
Benchmarks: Atari-10 ALE full suite (57 games) IsaacGym Cartpole and Anymal DMC humanoid and dog tasks CIFAR-10 non-stationary label shuffling offline Q-learning tasks (humanoidmaze-giant-navigate, puzzle-4x5-play, puzzle-4x6-play)
Metrics: human-normalized score median human-normalized score episode return gradient norm dormant neuron fraction SRank Hessian trace
Baselines: PQN with RAdam PPO DQN Rainbow Simba with AdamW DDPG SAC SHARSA DSHARSA
Builds on: PQN Simba K-FAC Rainbow PPO
Closest papers by meaning
- Network Sparsity Unlocks the Scaling Potential of Deep Reinforcement Learning (ICML 2025 · similarity 0.89)
- Mind the GAP! The Challenges of Scale in Pixel-based Deep Reinforcement Learning (NeurIPS 2025 · similarity 0.87)
- Understanding and Diagnosing Deep Reinforcement Learning (ICML 2024 · similarity 0.87)
- Bigger, Regularized, Optimistic: scaling for compute and sample efficient continuous control (NeurIPS 2024 · similarity 0.86)
- Stabilizing Policy Optimization via Logits Convexity (NeurIPS 2026 · similarity 0.86)
- Target-Aligned Reinforcement Learning (NeurIPS 2026 · similarity 0.86)
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