Meta Flow Maps enable scalable reward alignment
- URL: http://arxiv.org/abs/2601.14430v1
- Date: Tue, 20 Jan 2026 19:39:56 GMT
- Title: Meta Flow Maps enable scalable reward alignment
- Abstract summary: Controlling generative models is computationally expensive.<n>This is because optimal alignment with a reward function--whether via inference-time steering or fine-tuning--requires estimating the value function.<n>We introduce Meta Flow Maps (MFMs), a framework consistency models and flow maps into extending the regime.
- Score: 22.109809498990362
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Controlling generative models is computationally expensive. This is because optimal alignment with a reward function--whether via inference-time steering or fine-tuning--requires estimating the value function. This task demands access to the conditional posterior $p_{1|t}(x_1|x_t)$, the distribution of clean data $x_1$ consistent with an intermediate state $x_t$, a requirement that typically compels methods to resort to costly trajectory simulations. To address this bottleneck, we introduce Meta Flow Maps (MFMs), a framework extending consistency models and flow maps into the stochastic regime. MFMs are trained to perform stochastic one-step posterior sampling, generating arbitrarily many i.i.d. draws of clean data $x_1$ from any intermediate state. Crucially, these samples provide a differentiable reparametrization that unlocks efficient value function estimation. We leverage this capability to solve bottlenecks in both paradigms: enabling inference-time steering without inner rollouts, and facilitating unbiased, off-policy fine-tuning to general rewards. Empirically, our single-particle steered-MFM sampler outperforms a Best-of-1000 baseline on ImageNet across multiple rewards at a fraction of the compute.
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