arXiv Statistics ML By Takuo Matsubara, Peiwen Jiang, Minh-Ngoc Tran, Wilson Ye Chen

Wasserstein Exponential Smoothing for Distributional Time Series Forecasting

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The paper introduces Wasserstein Exponential Smoothing (WES), a single‑parameter recursive method for forecasting distributional time series on ℝ. WES updates forecast distributions along Wasserstein geodesics, allowing direct application to empirical distributions without parametric modeling. In high‑frequency equity‑index return and household electricity‑demand data, WES achieves the lowest one‑step‑ahead Wasserstein prediction error among existing benchmarks and is retained in the 90% model confidence set for all 20 series examined.

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arXiv Machine Learning
Oct 19

Forecasting Voltage Time Series under Anomalies Using a WGAN Model With Lipschitz Control and Progressive Kernel Critic Strategy

The paper presents a deep learning framework, WGAN‑CLP, that forecasts voltage time‑series under anomalies by employing a Wasserstein GAN with a progressive Lipschitz penalty and an adaptive kernel critic. It processes a sliding window of data, predicts subsequent values, reconstructs the stream, and dynamically adjusts its kernel for each new window. Experiments on voltage and energy datasets show the model surpasses benchmark methods in accuracy and robustness, as measured by power ratios, correlation coefficient, and relative RMSE.

By Najmieh Sadat Safarabadi