A variability measure for estimates of parameters in interval data fitting

区间直线拟合

Interval straight line fitting

本文提出一种基于约束满足的区间直线拟合方法，通过盒切片算法获得解的区间包络，无需最小化泛函和加权数据，可处理变量不确定性并适用于异常值检测等任务。

Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems

We propose a clustering-based approach for identifying coherent flow structures in continuous dynamical systems. We first treat a particle trajectory over a finite time interval as a high-dimensional data point and then cluster these data from different initial locations into groups. The method then uses the normalized standard deviation or mean absolute deviation to quantify the deformation. Unlike the usual finite-time Lyapunov exponent (FTLE), the proposed algorithm considers the complete traveling history of the particles. We also suggest two extensions of the method. To improve the comput…

Resolving Molecular Contributions of Ion Channel Noise to Interspike Interval Variability through Stochastic Shielding

The contributions of independent noise sources to the variability of action potential timing has not previously been studied at the level of individual directed molecular transitions within a conductance-based model ion-state graph. The underlying connection provides an important example of how mathematics can be applied to study the effects of unobservable microscopic fluctuations to macroscopically observable quantities. We study a stochastic Langevin model and show how to resolve the individual contributions that each transition in the ion channel graph makes to the variance of the interspi…

基于数据驱动的北太平洋气候低频模式预测策略

Data-driven prediction strategies for low-frequency patterns of North Pacific climate variability

本文提出利用非参数方法预测北太平洋低频气候模式，通过非线性拉普拉斯谱分析提取海表温度与海冰浓度场，发现该方法在预测能力上优于参数方法和简单持续性。