提出智能的结构理论,让AI能自我演化学习接口。
SMGI: A Structural Theory of General Artificial Intelligence
- 用类型化元模型定义智能结构,包含表征、假设空间等动态组件。
- 证明了结构泛化边界,确保智能体在任务变化中稳定且容量可控。
- 揭示传统方法都是该理论的受限特例,为通用AI提供统一框架。
我们提出SMGI——通用人工智能的结构理论,将学习问题从固定环境中的假设优化,转变为对学习接口本身的受控演化。通过类型化的元模型θ = (r, H, Π, L, E, M),将表征映射、假设空间、结构先验、多模式评估器和记忆算子作为显式类型化的动态组件建模。严格区分结构本体θ与诱导行为语义T_θ,将通用人工智能定义为满足四条义务的可容许耦合动力系统(θ, T_θ):类型变换下的结构封闭性、认证演化下的动力稳定性、有界统计容量,以及跨模式切换时的评估不变性。我们证明了结构泛化界,连接序列PAC-Bayes分析与李雅普诺夫稳定性,给出容量控制与有界漂移的充分条件。进一步建立严格结构包含定理,表明经典经验风险最小化、强化学习、程序先验模型(索洛蒙诺夫风格)及现代前沿代理流水线均是SMGI的结构受限实例。
原文摘要 · Abstract (English)
We introduce SMGI, a structural theory of general artificial intelligence, and recast the foundational problem of learning from the optimization of hypotheses within fixed environments to the controlled evolution of the learning interface itself. We formalize the Structural Model of General Intelligence (SMGI) via a typed meta-model $θ= (r,\mathcal H,Π,\mathcal L,\mathcal E,\mathcal M)$ that treats representational maps, hypothesis spaces, structural priors, multi-regime evaluators, and memory operators as explicitly typed, dynamic components. By enforcing a strict mathematical separation between this structural ontology ($θ$) and its induced behavioral semantics ($T_θ$), we define general artificial intelligence as a class of admissible coupled dynamics $(θ, T_θ)$ satisfying four obligations: structural closure under typed transformations, dynamical stability under certified evolution, bounded statistical capacity, and evaluative invariance across regime shifts. We prove a structural generalization bound that links sequential PAC-Bayes analysis and Lyapunov stability, providing sufficient conditions for capacity control and bounded drift under admissible task transformations. Furthermore, we establish a strict structural inclusion theorem demonstrating that classical empirical risk minimization, reinforcement learning, program-prior models (Solomonoff-style), and modern frontier agentic pipelines operate as structurally restricted instances of SMGI.
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