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Forecasting with many predictors using message passing algorithms

Dimitris Korobilis

Essex Finance Centre Working Papers from University of Essex, Essex Business School

Abstract: Machine learning methods are becoming increasingly popular in economics, due to the increased availability of large datasets. In this paper I evaluate a recently proposed algorithm called Generalized Approximate Message Passing (GAMP) , which has been very popular in signal processing and compressive sensing. I show how this algorithm can be combined with Bayesian hierarchical shrinkage priors typically used in economic forecasting, resulting in computationally efficient schemes for estimating high-dimensional regression models. Using Monte Carlo simulations I establish that in certain scenarios GAMP can achieve estimation accuracy comparable to traditional Markov chain Monte Carlo methods, at a tiny fraction of the computing time. In a forecasting exercise involving a large set of orthogonal macroeconomic predictors, I show that Bayesian shrinkage estimators based on GAMP perform very well compared to a large set of alternatives.

Keywords: high-dimensional inference; compressive sensing; belief propagation; Bayesian shrinkage; dynamic factor models (search for similar items in EconPapers)
Date: 2017-05-06
New Economics Papers: this item is included in nep-cmp, nep-ecm, nep-ets and nep-for
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Citations: View citations in EconPapers (6)

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https://repository.essex.ac.uk/19565/ original version (application/pdf)

Related works:
Working Paper: High-dimensional macroeconomic forecasting using message passing algorithms (2019) Downloads
Working Paper: High-dimensional macroeconomic forecasting using message passing algorithms (2019) Downloads
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Persistent link: https://EconPapers.repec.org/RePEc:esy:uefcwp:19565

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