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Stable Gradients for Stable Learning at Scale in Deep Reinforcement Learning

NeurIPS 2025 · Reinforcement learning › Policy gradient and actor-critic · approach: Alternative policy update rules · 0 citations (OpenAlex)

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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

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add multi-skip residual connections and KronPQN · Full ALEgames outperformed (%): 90%Helped
Add multi-skip residual connections and KronPQN · Full ALEmedian relative improvement: 83.27%Helped
Add multi-skip residual connections and KronPPO · Full ALEgames outperformed (%): 83.64%Helped
Add multi-skip residual connections and KronPPO · Full ALEmedian relative improvement: 31.40%Helped
Increase encoder skips from 1 to 5 residual blocks (ablation)MultiSkip PQN · Atari-10aggregate mean HNS: 0.25 -> 0.58Helped
Replace RAdam with KronPQN · Atari-10HNSHelped
Replace AdamW with KronSimba with SAC and DDPG · DeepMind Control SuiteperformanceHelped

Surprising findings

Limitations

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

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