EqR 用吸引子理论解释了为什么迭代推理能泛化,做推理模型或可扩展计算的团队值得关注——它可能改变你对测试时计算分配的理解。
Equilibrium Reasoners (EqR) 是一种新的推理框架,通过将推理过程建模为学习任务条件吸引子(latent dynamical systems)来实现可扩展的测试时计算。该框架无需外部验证器或任务特定先验,通过增加迭代深度(更多步数)和广度(聚合多个随机轨迹)来提升性能。实验表明,测试时计算的增益与向解对齐吸引子的收敛程度紧密相关。在 Sudoku-Extreme 任务上,EqR 通过展开多达 40,000 层,将前馈模型的准确率从 2.6% 提升至超过 99%。这一视角为理解迭代潜在模型中的可扩展推理提供了机制性解释。
Equilibrium Reasoners: Learning Attractors Enables Scalable Reasoning
Scaling test-time compute by iteratively updating a latent state has emerged as a powerful paradigm for reasoning. Yet the internal mechanisms that enable these iterative models to generalize beyond memorized patterns remain unclear. We hypothesize that generalizable reasoning arises from learning task-conditioned attractors: latent dynamical systems whose stable fixed points correspond to valid solutions. We formalize this process through Equilibrium Reasoners (EqR), which enable test-time scaling without external verifiers or task-specific priors. EqR scales internal dynamics along two axes: depth, by running more iterations, and breadth, by aggregating stochastic trajectories from multiple initializations. Empirically, gains from test-time scaling are tightly coupled with stronger convergence toward solution-aligned attractors. This attractor perspective allows neural networks to adaptively allocate test-time compute based on task difficulty. While simple cases converge within 1 to 5 iteration steps, harder cases benefit from massive test-time scaling. By unrolling up to the equivalent of 40,000 layers, scalable latent reasoning boosts accuracy from 2.6% for feedforward models to over 99% on Sudoku-Extreme. These results suggest that learned attractor landscapes provide a useful mechanistic lens for understanding scalable reasoning in iterative latent models.