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Asymmetric Bidirectional Predictive Dynamics in Google Search and COVID-19 Time Series: A Multi-Horizon Forecast-Error Analysis

Andrei Velichko, Imen Mahmoud · 2026 · arXiv

DOI: 10.48550/arXiv.2610.28563 · open-access PDF

Spanish

La actividad de búsqueda en línea se utiliza ampliamente como un rastro digital de información que se busca durante las epidemias, pero su valor predictivo a menudo se reduce a una correlación, un atraso seleccionado, o una única puntuación de error de predicción. Examinamos ocho pares predefinidos de Google Trends-COVID-19 en ambas direcciones utilizando las predicciones de LightGBM correspondientes sobre ventanas de 400 días y horizontes de 1-14 días. El log-RMSE se combina con la entropía de distribución de errores de predicción (FEDE), que captura los cambios dependentes del horizonte en la distribución de errores firmados.

Machine translation (Meta M2M100); the English original follows.

Abstract

Online search activity is widely used as a digital trace of information seeking during epidemics, but its predictive value is often reduced to correlation, a selected lag, or a single forecast-error score. We examine eight pre-specified Google Trends-COVID-19 pairs in both directions using matched LightGBM forecasts over rolling 400-day windows and horizons of 1-14 days. Log-RMSE gain is combined with forecast-error distribution entropy (FEDE), which captures horizon-dependent changes in the signed error distribution. The resulting directional predictive signature comprises response class, RMS

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