arXiv:2605.13872cs.NEcs.AI2026-05

受生物激素启发的递归推理框架,让AI自我调节思考过程,更省力更高效。

S-AI-Recursive: Convergent Recursive Reasoning

  • 用激素信号控制思考循环,自动判断何时该继续或停止。
  • 解迷宫时迭代次数从20次降到11.31次,解数独节省16.39轮计算。
  • 适合需要反复思考、注重资源效率的智能系统设计者参考。

本文提出S-AI-Recursive,一种受生物激素调控启发的稀疏人工智能架构,将推理实现为闭环递归迭代而非单次前向传播。递归推理循环(RRC)由两种拮抗激素调控:促进收敛的Clarifine与表征残余不确定性的Confusionin。二者共同调节状态精炼、终止决策、资源分配及递归记忆检索。新框架区分了激素子系统稳定性与认知状态-激素耦合收敛性,并为固定点结构任务提供了耦合收缩的显式充分条件。包含李雅普诺夫分析、条件熵收缩、多信号终止、Euler-Maruyama投影离散化、约束代理选择与热启动记忆。实验结合SAI-UT+模拟与可验证的任务测试,在收敛迷宫实例中,自适应终止使平均深度从20.00降至11.31,减少43.4%;在可复现数独实例中,热启动将平均周期从18.39降至2.00,节省16.39轮。使用ARC风格任务评估算子可迁移性而非全基准性能。鲁棒性测试显示,在欺骗性平台下优于仅基于残差的终止策略,但在同质高斯噪声下无优势。结果支持自适应时间节俭、记忆辅助加速及特定条件下的鲁棒性,但未证明优于独立训练的外部架构。

原文摘要 · Abstract (English)

This article introduces S-AI-Recursive, a bio-inspired Sparse Artificial Intelligence architecture in which reasoning is implemented as a hormonally regulated closed-loop iteration rather than a single feed-forward pass. The Recursive Reasoning Cycle (RRC) is governed by two recursive hormones: Clarifine, a convergence signal, and Confusionin, a residual-uncertainty signal. Their antagonistic interaction regulates state refinement, stopping, resource allocation, and recursive-engram retrieval. The revised framework distinguishes hormonal-subsystem stability from joint cognitive state-hormone convergence and gives explicit sufficient conditions for coupled contraction on fixed-point-structured tasks. It also includes Lyapunov analysis, conditional entropic contraction, multi-signal stopping, Euler-Maruyama discretization with projection, constrained agent selection, and warm-start memory. Experimental evaluation combines controlled SAI-UT+ simulations with exactly verifiable task-level tests. On convergent Maze instances, adaptive stopping reduces mean depth from 20.00 to 11.31 iterations at unchanged resolution, a 43.4 percent reduction. On compatible recurring Sudoku instances, warm-start reduces mean depth from 18.39 to 2.00 cycles, saving 16.39 cycles at unchanged resolution. ARC-style tasks are used to assess operator portability rather than full benchmark performance. Robustness tests show an advantage over residual-only stopping on deceptive plateaus, but not under homogeneous Gaussian noise. These results support adaptive temporal parsimony, memory-assisted acceleration, and selected robustness under stated conditions, without establishing superiority over independently trained external architectures.

递归推理生物启发自适应终止稀疏AI

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