用轨迹主导的帕累托优化解释智能系统长期适应力停滞的原因
Intelligence as Trajectory-Dominant Pareto Optimization
- 将智能视为轨迹层面的多目标权衡,提出路径式帕累托优化新范式
- 发现帕累托陷阱是导致发展路径受限的根本几何障碍,与学习能力无关
- 提出逃逸难度指数(TEDI),可量化系统突破僵局的难易程度
尽管人工智能取得显著进展,许多系统在长时程适应性上仍出现停滞,即使性能持续优化。本文认为这种局限并非源于学习、数据或模型容量不足,而是智能随时间优化的深层结构特性所致。我们将智能建模为受多目标权衡支配的轨迹级现象,提出轨迹主导的帕累托优化(Trajectory-Dominant Pareto Optimization),其中支配关系基于完整轨迹定义。在此框架下,帕累托陷阱作为轨迹空间中局部非支配但阻碍全局更优路径的区域被识别。为衡量此类约束的刚性,我们定义了逃逸难度指数(TEDI),一个综合捕捉逃逸距离、结构约束与行为惯性的几何指标。结果表明,动态智能天花板是轨迹级支配的必然几何后果,独立于学习进度与架构规模。我们进一步构建帕累托陷阱的形式分类体系,并通过最小代理-环境模型展示轨迹级分歧。这些成果将智能的本质从终端表现转向优化几何,为诊断和克服自适应系统的长时程发展瓶颈提供原则性框架。
原文摘要 · Abstract (English)
Despite recent advances in artificial intelligence, many systems exhibit stagnation in long-horizon adaptability despite continued performance optimization. This work argues that such limitations do not primarily arise from insufficient learning, data, or model capacity, but from a deeper structural property of how intelligence is optimized over time. We formulate intelligence as a trajectory-level phenomenon governed by multi-objective trade-offs, and introduce Trajectory-Dominant Pareto Optimization, a path-wise generalization of classical Pareto optimality in which dominance is defined over full trajectories. Within this framework, Pareto traps emerge as locally non-dominated regions of trajectory space that nevertheless restrict access to globally superior developmental paths under conservative local optimization. To characterize the rigidity of such constraints, we define the Trap Escape Difficulty Index (TEDI), a composite geometric measure capturing escape distance, structural constraints, and behavioral inertia. We show that dynamic intelligence ceilings arise as inevitable geometric consequences of trajectory-level dominance, independent of learning progress or architectural scale. We further introduce a formal taxonomy of Pareto traps and illustrate the resulting trajectory-level divergence using a minimal agent-environment model. Together, these results shift the locus of intelligence from terminal performance to optimization geometry, providing a principled framework for diagnosing and overcoming long-horizon developmental constraints in adaptive systems.
Thank you to arXiv for use of its open access interoperability. PaperDance 不是 arXiv 官方产品;中文卡片由大模型生成,请以原文为准。