机器学习从不可预测的混乱中做出预测
Jian Jiang1,2, Long Chen1, Lu Ke1
1Research Center of Nonlinear Science, School of Mathematics and Statistics, Wuhan Textile University, Wuhan, Hubei 430200, People's Republic of China.
Journal of the Royal Society, Interface
|September 30, 2025
概括
这项研究引入了混乱学习,一种使用多尺度拓学的新方法,以准确预测混乱系统. 这种方法揭示了混乱动态可以提供精确的定量预测,挑战传统观点.
科学领域:
- 复杂系统科学 复杂系统科学
- 计算拓学的计算拓学
- 机器学习 机器学习
背景情况:
- 混沌理论描述了对初始条件高度敏感的系统,表现出不可预测的行为.
- 传统的理解将混乱系统视为固有的不可预测性,限制了它们的实际应用.
- 了解混乱带来了重大的社会和经济效益,推动了对其可预测性的研究.
研究的目的:
- 介绍混乱学习,一种新的多尺度拓范式,用于从混乱系统中准确预测.
- 为了证明混乱的动力学可以产生前所未有的定量预测.
- 为了弥合拓学,混沌学和学习的领域.
主要方法:
- 多尺度拓拉普拉斯人的发展.
- 将现实世界的数据嵌入到交互式混沌动态系统中.
- 调制动态行为以准确预测数据.
主要成果:
- 从各种数据集中成功预测混乱系统的物理性质.
- 对大脑波,蛋白质数据,单细胞RNA测序和图像数据集的准确预测的演示.
- 使用洛伦茨和罗斯勒混沌吸引器进行验证.
结论:
- 混乱学习为理解和预测混乱系统提供了一个范式的转变.
- 该方法可以从看似随机的动态中进行准确的定量预测.
- 这项工作整合了拓学,混乱和机器学习,以获得新的见解.
相关概念视频
Uncertainty in Measurement: Accuracy and Precision
Scientists typically make repeated measurements of a quantity to ensure the quality of their findings and to evaluate both the precision and the accuracy of their results. Measurements are said to be precise if they yield very similar results when repeated in the same manner. A measurement is considered accurate if it yields a result that is very close to the true or the accepted value. Precise values agree with each other; accurate values agree with a true value.
Random Error
Random or indeterminate errors originate from various uncontrollable variables, such as variations in environmental conditions, instrument imperfections, or the inherent variability of the phenomena being measured. Usually, these errors cannot be predicted, estimated, or characterized because their direction and magnitude often vary in magnitude and direction even during consecutive measurements. As a result, they are difficult to eliminate. However, the aggregate effect of these errors can be...
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Survival trees are a non-parametric method used in survival analysis to model the relationship between a set of covariates and the time until an event of interest occurs, often referred to as the "time-to-event" or "survival time." This method is particularly useful when dealing with censored data, where the event has not occurred for some individuals by the end of the study period, or when the exact time of the event is unknown.
Building a Survival Tree
Constructing a survival tree begins...
Building a Survival Tree
Constructing a survival tree begins...

