arXiv:2606.28413cs.LGcs.AI2026-06

在无中心的智能体网络中,液态底座是实现高效协同的关键。

On the Necessity of a Liquid Substrate for Mesh Intelligence

  • 提出液态底座需具备自适应时变尺度与间隔感知能力
  • 固定增益滤波器性能被证明严格劣于最优解
  • 适用于分布式智能系统,尤其适合无同步场景

一个由自主智能体组成的网格没有中心:无共享时钟、无共享模型,也无协调者来收集数据或重训练。其能力依赖于每个智能体在线将同伴发出的投影折叠进单一内部状态,基于不规则、非预定时间到达的观测,在权重不可重训练的底座上完成。单个约束尚可处理,但同时满足三者下的最优折叠却不可行。我们研究此类底座的本质要求,从一个在异步、外生时间点观测的自演化潜在变量模型出发,证明两个必要条件:由于潜在变量随时间变化,最优估计器必须随时间变化——自适应时标是必需的,任何固定增益滤波器都严格次优;又因事件无时钟对齐,最优估计依赖于事件间的流逝间隔,而任何无视间隔的网络,无论多深或多宽,都无法恢复该依赖。第二个条件与容量无关:规模无法替代缺失的依赖关系。这两个条件在连续时间液态类中交汇。LSTM 满足第一条件,固定连续时间滤波器满足第二条件,而多时标液态网络则同时满足两者。合成实验验证了每一点:网络能准确捕获时标,且间隔分离可精确计算。该特征为必要而非充分,作用于固定权重底座:允许重训练的网络可通过其他方式达到该类。每智能体独立证明的必要性,约束了整个网格中的每个智能体,构成对网格智能的结构性限制。

原文摘要 · Abstract (English)

A mesh of sovereign agents has no center: no shared clock, no shared model, and no coordinator to gather data or retrain. Its competence rests on each agent folding the projections its peers emit into a single internal state, online, from observations that arrive at irregular, unscheduled times, on a substrate whose weights it cannot retrain. Any one of these constraints is tractable on its own; folding optimally under all three at once is not. We ask what such a substrate must be, and prove two necessary conditions from one model of a self-evolving latent observed at irregular, exogenous times. Because the latent changes, its optimal estimator is time-varying: an adaptive timescale is necessary, and every fixed-gain filter is strictly suboptimal. And because arrivals are clock-free, the optimal estimate depends on the elapsed gap between them, which no gap-blind network recovers at any width or depth. This second condition is capacity-independent: scale cannot substitute for the missing dependence. The two conditions intersect in the continuous-time liquid class. An LSTM satisfies the first, a fixed continuous-time filter the second, and a multi-timescale liquid network both. Synthetic experiments confirm each: the network attains the timescale, and the separation is computed exactly. The characterization is necessary, not sufficient, and binds fixed-weight substrates: a network free to retrain reaches the class by other means. Proved per agent, the necessity binds every agent of a mesh, a structural condition on mesh intelligence.

智能体系统液态网络分布式学习

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