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Low-Rank Adaptation for Critic Learning in Off-Policy Reinforcement Learning
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Proposes using LoRA with frozen random base matrices as a structural regularizer for off-policy critics (SimbaV2, BRC), with a hyperspherical-compatible variant, showing gains over dense and random-sparse critics on DMC-Hard and IsaacLab.
Problem
Large off-policy critics overfit and become unstable under replay-based bootstrapped training, so scaling critic capacity does not reliably help.
Approach
Freeze randomly initialized dense critic weight matrices and train only low-rank LoRA adapters in critic residual blocks, keeping the forward pass dense while constraining updates to a low-dimensional subspace; a LoRA-compatible hyperspherical projection solves a per-row scalar so effective weights stay on the unit sphere.</alignment>
Key results
- On DMC-Hard with SAC+SimbaV2 (d_h=512, L=2), LoRA averages 701.3 return vs 701.1 for dense SimbaV2 and 607.3 for Sparse.
- LoRA gives the best return on most IsaacLab FastTD3+SimbaV2 tasks and on most locomotion tasks, with critic loss generally lower than dense and sparse variants.
- In a toy chain MDP, small-rank LoRA (r=1) gives lower final true-Q error than the dense critic under bootstrapped off-policy TD, while dense is best under static regression.
Surprising findings
- Under static regression the dense critic is best, but under bootstrapped off-policy TD small-rank LoRA beats it, suggesting the low-rank constraint acts as an optimization regularizer rather than a capacity limit.
- Dense warm-up before switching to LoRA does not systematically outperform pure LoRA from scratch.
Limitations
- Gains on some tasks are within standard deviation, and results are reported as 'best or competitive' rather than uniformly best.
- The SimbaV2-compatible projection requires a base-norm choice (0.5) and nonzero LoRA initialization, adding design constraints.
- Evaluation is limited to DMC-Hard locomotion and six IsaacLab tasks with 5 seeds.
Experimental setup
Datasets: DMC-Hard IsaacLab
Benchmarks: DMC-Hard IsaacLab
Metrics: average normalized return final episode return critic loss
Baselines: SimbaV2 BRC Sparse (one-shot random pruning) FastTD3
Builds on: LoRA SimbaV2 BRC Soft Actor-Critic FastTD3
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