Agent-Based Models are very useful for simulation of physical or social processes, such as the spreading of a pandemic in a city. Such models proceed by specifying the behavior of individuals (agents) and their interactions, and parameterizing the process of infection based on such interactions based on the geography and demography of the city. However, such models are computationally very expensive, and the complexity is often linear in the total number of agents. This seriously limits the usage of such models for simulations, which often have to be run hundreds of times for policy planning and even model parameter estimation. An alternative is to develop an emulator, a surrogate model that can predict the Agent-Based Simulator's output based on its initial conditions and parameters. In this paper, we discuss a Deep Learning model based on Dilated Convolutional Neural Network that can emulate such an agent based model with high accuracy. We show that use of this model instead of the original Agent-Based Model provides us major gains in the speed of simulations, allowing much quicker calibration to observations, and more extensive scenario analysis. The models we consider are spatially explicit, as the locations of the infected individuals are simulated instead of the gross counts. Another aspect of our emulation framework is its divide-and-conquer approach that divides the city into several small overlapping blocks and carries out the emulation in them parallelly, after which these results are merged together. This ensures that the same emulator can work for a city of any size, and also provides significant improvement of time complexity of the emulator, compared to the original simulator.
翻译:模拟物理或社会过程的模型非常有用,比如在城市中传播大流行病。这种模型通过具体说明个人(代理人)的行为及其相互作用,并根据城市的地理和人口结构进行感染过程的参数化。然而,这些模型在计算上非常昂贵,其复杂性往往在物剂总数方面线性化。这严重限制了这种模型在模拟中的使用,这些模型往往要运行数百次,用于政策规划,甚至模型参数的平行估计。另一种办法是开发一个模拟器,一个可以根据初步条件和参数预测人(代理人)的行为及其相互作用的代理模型。在本文中,我们讨论基于这种相互作用的革命神经网络的深度学习模型,这种模型可以非常精确地模仿以物剂为基础的模型的总数。我们表明,使用这种模型可以大大加快对观察的改进速度,甚至进行更为广泛的情景分析。我们认为,这种模型在空间上很清晰地预测了以物基模模模的尺寸为模型,这种模型可以模拟出若干个被感染的个人的原始模型,用来模拟这些被感染的原始的模型,用来模拟这些被复制的模型,用来模拟。