In this work, a novel approach for the construction and training of time series models is presented that deals with the problem of learning on large time series with non-equispaced observations, which at the same time may possess features of interest that span multiple scales. The proposed method is appropriate for constructing predictive models for non-stationary stochastic time series.The efficacy of the method is demonstrated on a simulated stochastic degradation dataset and on a real-world accelerated life testing dataset for ball-bearings. The proposed method, which is based on GraphNets, implicitly learns a model that describes the evolution of the system at the level of a state-vector rather than of a raw observation. The proposed approach is compared to a recurrent network with a temporal convolutional feature extractor head (RNN-tCNN) which forms a known viable alternative for the problem context considered. Finally, by taking advantage of recent advances in the computation of reparametrization gradients for learning probability distributions, a simple yet effective technique for representing prediction uncertainty as a Gamma distribution over remaining useful life predictions is employed.
翻译:在这项工作中,对时间序列模型的构建和培训提出了一种新颖的方法,处理与非孔径观测进行大型时间序列学习的问题,而非孔径观测同时可能具有多个尺度的感兴趣特征。拟议方法适合于为非静止随机时间序列构建预测模型。该方法的功效表现在模拟随机降解数据集和珠子实际世界加速生命测试数据集上。拟议方法以图形Nets为基础,隐含地学习了一种模型,该模型描述了系统在州-矢量观测水平上的演变,而不是原始观测水平的演变。拟议方法与一个经常网络相比较,该网络具有时变动特征提取器头(RNNN-tCNN),为所考虑的问题背景提供了已知可行的替代方法。最后,利用最近为学习概率分布而计算再平衡梯度的进展,采用了一种简单而有效的技术,将预测的不确定性作为剩余有用生命预测的伽玛分布。