论文标题
部分可观测时空混沌系统的无模型预测
Spatial point process via regularisation modelling of ambulance call risk
论文作者
论文摘要
这项研究调查了紧急警报呼叫事件的空间分布,以识别与事件相关的空间协变量,并识别事件的热点区域。这项研究是出于为救护车等院前资源制定最佳派遣策略的问题。为了实现我们的目标,我们将空间变化的呼叫发生风险建模为不均匀的空间泊松过程的强度函数,我们认为,我们认为这是一些基本的空间协变量的对数线性函数。本研究中使用的空间协变量与瑞典Skellefteå人口的道路网络覆盖率,人口密度和人口的社会经济地位有关。已经开发了一种新的启发式算法来选择内核带宽的最佳估计,以便获得事件的非参数强度估计并产生其他协变量。由于我们考虑了大量的空间协变量及其产品,并且其中一些可能密切相关,因此在对数可能性的弹性网络正则化中已被用于对数类似样的弹性网络正则化,以执行可变选择并减少过度拟合和偏见的变异选择,从而减少过度适应和偏见。由于变量选择,拟合的模型结构包含道路网络和人口类型的单个协变量。我们发现,沿着道路网络密集的部分观察到了呼叫的热点区域。该模型的评估还表明,估计的模型是稳定的,可用于在该区域生成可靠的强度估计,这可以用作设计院前资源调度策略问题的输入。
This study investigates the spatial distribution of emergency alarm call events to identify spatial covariates associated with the events and discern hotspot regions for the events. The study is motivated by the problem of developing optimal dispatching strategies for prehospital resources such as ambulances. To achieve our goals, we model the spatially varying call occurrence risk as an intensity function of an inhomogeneous spatial Poisson process that we assume is a log-linear function of some underlying spatial covariates. The spatial covariates used in this study are related to road network coverage, population density, and the socio-economic status of the population in Skellefteå, Sweden. A new heuristic algorithm has been developed to select an optimal estimate of the kernel bandwidth in order to obtain the non-parametric intensity estimate of the events and to generate other covariates. Since we consider a large number of spatial covariates as well as their products, and since some of them may be strongly correlated, lasso-like elastic-net regularisation has been used in the log-likelihood intensity modeling to perform variable selection and reduce variance inflation from overfitting and bias from underfitting. As a result of the variable selection, the fitted model structure contains individual covariates of both road network and demographic types. We discovered that hotspot regions of calls have been observed along dense parts of the road network. Evaluation of the model also suggests that the estimated model is stable and can be used to generate a reliable intensity estimate over the region, which can be used as an input in the problem of designing prehospital resource dispatching strategies.