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Adaptive Neighborhood-Constrained Q Learning for Offline Reinforcement Learning

NeurIPS 2025 · Reinforcement learning › Offline RL · approach: Offline RL sample complexity theory · 0 citations (OpenAlex)

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Proposes adaptive neighborhood constraint for offline RL's Bellman target, with radius adapted per data point by advantage, implemented as ANQ via bilevel optimization and expectile regression.

Problem

Offline RL suffers from extrapolation errors from OOD actions; existing constraints (density, support, sample) are either overly conservative or require accurate behavior policy modeling.

Approach

Restrict Bellman target actions to union of per-sample neighborhoods of dataset actions, with radius shrinking for high-advantage data and growing for low-advantage data; enforce via bilevel optimization (inner: auxiliary perturbation policy under a Lagrangian; outer: expectile regression for V) and extract policy by weighted regression toward optimized actions.

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use adaptive neighborhood-constrained Q learning instead of the strongest aggregate baselineOffline RL on Gym locomotion tasks · Gym locomotion totalnormalized score: 1139.9 -> 1194.5Helped
Use adaptive neighborhood-constrained Q learning instead of the strongest aggregate baselineOffline RL on AntMaze tasks · AntMaze totalnormalized score: 392.4 -> 441.6Helped
Use adaptive neighborhoods instead of uniform neighborhoods (α=0) (ablation)ANQ on noisy datasets · Noisy datasetsnormalized scoreHelped
Increase α to an appropriately large value to adapt neighborhood radius by advantage (ablation)ANQ · Offline RL tasksnormalized scoreHelped
Set α excessively high (α=20) (ablation)ANQ · Offline RL tasksnormalized scoreHurt
Vary λ to increase neighborhood radius from a very constrained setting (ablation)ANQ · Offline RL tasksnormalized scoreMixed
Use a sufficiently large neighborhood in limited-data settings by reducing λ (ablation)ANQ on reduced AntMaze datasets · Limited-data AntMazenormalized scoreHelped

Surprising findings

Limitations

Experimental setup

Datasets: D4RL halfcheetah D4RL hopper D4RL walker2d D4RL antmaze

Benchmarks: D4RL Gym-MuJoCo locomotion D4RL AntMaze

Metrics: D4RL normalized score

Baselines: BCQ BEAR DT AWAC OneStep RL TD3BC CQL IQL SPOT

Builds on: TD3+BC IQL BCQ TD3

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