面向任务的机器学习替代了基于代理的模型的临界点.
Gianluca Fabiani1,2, Nikolaos Evangelou2, Tianqi Cui2
1Modelling Engineering Risk and Complexity, Scuola Superiore Meridionale, Naples, Italy.
Nature communications
|May 15, 2024
概括
本研究介绍了一种机器学习框架,用于从复杂的模拟中创建减少订单模型. 该方法有效地识别了临界点,并在金融和流行病模型中量化了罕见事件的不确定性.
科学领域:
- 计算科学 计算科学
- 复杂系统建模 复杂系统建模
- 机器学习 机器学习
背景情况:
- 基于代理的模拟器产生复杂的动态,使分析计算密集.
- 识别临界点和量化罕见事件的不确定性对于各种系统的风险评估至关重要.
研究的目的:
- 开发一个机器学习框架,用于构建有效的减少订单模型 (ROM).
- 能够对新出现的动态进行系统的多尺度数值分析,重点关注转折点检测和罕见事件不确定性量化.
主要方法:
- 多元学习,神经网络,高斯过程和无方程多尺度方法的整合.
- 在Erdös-Rényi网络上应用到事件驱动的随机金融市场模型和随机流行病模型.
主要成果:
- 该框架成功地从详细的基于代理的模拟器中构建ROM.
- 发现临界点附近的新兴动态可以用一维的随机微分方程来描述,揭示内在的维度.
- 分析任务的计算成本大大降低.
结论:
- 拟议的机器学习框架为分析复杂系统动态提供了一种高效的方法.
- 识别的内在维度简化了临界点和罕见事件的分析.
- 这种方法为理解和预测随机系统中的关键过渡提供了一个强大的工具.
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