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Behavioral Foundation Models for Quality Diversity
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Proposes BFM-QD, which runs quality-diversity search in the latent space of a frozen pretrained behavioral foundation model (FB or TD-JEPA) and adds a closed-form backward-inference variation operator that replaces critic-based policy gradients.
Problem
Quality-diversity methods search high-dimensional policy parameter spaces where random perturbations rarely yield rewarding behaviors, especially under sparse or deceptive rewards, so they fail on hard continuous-control tasks.
Approach
Relocate QD search from policy parameters to the compact latent space of a pretrained BFM, and use the closed-form least-squares task inference z* (backward inference) as a gradient-free directed variation operator that approximates a second-order policy improvement step.
Key results
- FB-ME and other BFM-QD variants reach the highest normalized QD-score on all tasks; on AntMaze-medium and Cube-single parameter-space baselines collapse to near-zero QD-score while BFM-QD maintains high performance.
- FB-BI (closed-form backward inference, no critic) matches FB-PGA-ME across all environments, while PGA-ME fails on AntMaze-medium and Cube-single.
- QD performance saturates within the first ~40k pretraining steps of FB, well before zero-shot performance converges.
Surprising findings
- Interpolation (isoline operator) helps only in the BFM latent space and yields no consistent gain in parameter space.
- Random exploration datasets outperform expert datasets for BFM pretraining.
Limitations
- Frozen BFM imposes a ceiling on behavioral expressivity; behaviors outside the pretrained latent space are inaccessible.
- Performance degrades with narrower datasets and with QD-collected data instead of RND, since latent diversity is bounded by data diversity.
- Each BFM is trained for a single environment, so environment-agnostic QD remains open; rewards and descriptors are assumed given.
Experimental setup
Datasets: OGBench antmaze-medium-explore OGBench cube-single-noisy RND-collected Walker2d and HalfCheetah data
Benchmarks: Walker2d_uni HalfCheetah_uni AntMaze-medium Cube-single
Metrics: QD-score coverage max fitness
Baselines: ME CMA-ME DCRL-ME DDE-Elites ME+Pretrain PGA-ME
Builds on: MAP-Elites CMA-ME PGA-ME Forward-Backward representations TD-JEPA DCRL-ME DDE-Elites
Closest papers by meaning
- Quality Diversity through Human Feedback: Towards Open-Ended Diversity-Driven Optimization (ICML 2024 · similarity 0.88)
- Aligning Diffusion Behaviors with Q-functions for Efficient Continuous Control (NeurIPS 2024 · similarity 0.87)
- Representation-Based Exploration for Language Models: From Test-Time to Post-Training (ICLR 2026 · similarity 0.87)
- ShiQ: Bringing back Bellman to LLMs (NeurIPS 2025 · similarity 0.87)
- Learning a Diffusion Model Policy from Rewards via Q-Score Matching (ICML 2024 · similarity 0.87)
- Quality-Diversity Actor-Critic: Learning High-Performing and Diverse Behaviors via Value and Successor Features Critics (ICML 2024 · similarity 0.87)
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