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Value-Based Deep RL Scales Predictably

ICML 2025 · Reinforcement learning › Policy gradient and actor-critic · approach: Regularized scalable deep value learning · 0 citations (OpenAlex)

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Shows that value-based off-policy deep RL (SAC, BRO, PQL) scales predictably: data and compute requirements lie on a UTD-controlled Pareto frontier, and batch size and learning rate follow power laws in UTD, enabling extrapolation to larger data, compute, and budgets.

Problem

Value-based off-policy deep RL is commonly considered unpredictable at scale; it is unclear how data, compute, and hyperparameters (batch size, learning rate, UTD ratio) should be set so that large-scale performance can be predicted from small runs.

Approach

Model data and compute requirements as power-law functions of the updates-to-data (UTD) ratio, with batch size and learning rate predicted as power laws in UTD, so that the UTD ratio traces a data-compute Pareto frontier and yields predictable budget-optimal hyperparameters.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use UTD-dependent batch size and learning rate instead of hyperparameters tuned at σ=2 for all UTD valuesSAC · OpenAI Gymdata efficiencyHelped
Use the proposed data-efficiency power-law fit to extrapolate toward larger computeProposed scaling fit · OpenAI GymPareto frontier extrapolation error: 7.8%Helped
Use the proposed data-efficiency power-law fit to extrapolate toward larger dataProposed scaling fit · OpenAI GymPareto frontier extrapolation error: 10.6%Helped
Add an additive offset to the batch-size and learning-rate power-law fits (ablation)Proposed hyperparameter fit · Value-based deep RLextrapolation accuracyHurt

Surprising findings

Limitations

Experimental setup

Datasets: DeepMind Control Suite OpenAI Gym IsaacGym

Benchmarks: DeepMind Control Suite OpenAI Gym IsaacGym Franka-Push

Metrics: data efficiency (data to reach target return) compute (FLOPs) extrapolation error (%) normalized return

Baselines: fixed hyperparameters tuned at UTD=2 BRO PQL

Builds on: Soft Actor-Critic BRO PQL Chinchilla-style scaling laws

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