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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…

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Frugal day-ahead forecasting of multiple local electricity loads by aggregating adaptive models

聚合自适应模型的低成本多地电力负荷日前预测

We focus on day-ahead electricity load forecasting of substations of the distribution network in France; therefore, our problem lies between the instability of a single consumption and the stability of a countrywide total demand. Moreover, we are interested in forecasting the loads of over one thousand substations; consequently, we are in the context of forecasting multiple time series. To that end, we rely on an adaptive methodology that provided excellent results at a…

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State-Space Models Win the IEEE DataPort Competition on Post-covid Day-ahead Electricity Load Forecasting

状态空间模型赢得疫情后日前电力负荷预测竞赛

We present the winning strategy of an electricity demand forecasting competition. This competition was organized to design new forecasting methods for unstable periods such as the one starting in Spring 2020. We rely on state-space models to adapt standard statistical and machine learning models. We claim that it achieves the right compromise between two extremes. On the one hand, purely time-series models such as autoregressives are adaptive in essence but fail to capture…

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