Sliding-Window Signatures for Time Series: Application to Electricity Demand Forecasting
时间序列的滑动窗口签名特征:电力需求预测应用
Nonlinear and delayed effects of covariates often render time series forecasting challenging. To this end, we propose a novel forecasting framework based on ridge regression with signature features calculated on sliding windows. These features capture complex temporal dynamics without relying on learned or hand-crafted representations. Focusing on the discrete-time setting, we establish theoretical guarantees, namely universality of approximation and stationarity of…