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Supervised Mixed-Frequency Learning for Macro-Financial Forecasting When Factors are Weak

Ulrich Hounyo, Zhendong Li

arXiv 12 Aug 2026 · Econometrics

arXiv:2608.12589 · PDF · Extracted main text

Abstract

Factor-MIDAS regressions forecast a low-frequency target by extracting common factors from a large panel of high-frequency predictors via principal component analysis (PCA). While PCA mitigates the curse of dimensionality, it relies on factor pervasiveness, an assumption often violated when factors are weak, as is common in macro-financial forecasting. We propose SsPCA-MIDAS, which integrates supervised scaled PCA (SsPCA) into the mixed-data sampling framework. We establish consistency and asymptotic normality under weak factors, permitting inference on the prediction target. Simulations show that SsPCA-MIDAS outperforms competing PCA-based and supervised methods, especially when weak factors are prevalent. Applying machine-learning techniques such as boosting to the cleaner factors it extracts yields further gains. An extensive application to U.S. macro-financial forecasting shows that SsPCA-MIDAS selects economically meaningful predictors and improves forecasts of GDP, inflation, unemployment, asset prices, and volatility.

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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Hounyo \ Li (2026) `Forecasting economic time series in the presence of weak factors: Multiple supervised learning-based approach', International J…0.9568588%
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3Giglio, Xiu \ Zhang (2023) `Prediction when factors are weak', University of Chicago, Becker Friedman Institute for Economics Working Paper (2023-47)0.86328764%
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7Bai \ Ng (2009) `Boosting diffusion indices', Journal of Applied Econometrics 24(4), 607–6290.7547543%
8Onatski (2012) `Asymptotics of the principal components estimator of large factor models with weakly influential factors', Journal of Econometr…0.7373367%
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10Bai \ Ng (2023) `Approximate factor models with weaker loadings', Journal of Econometrics 235(2), 1893–19160.73732100%

Showing the top 10 of 61 scored citations.