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Parsimonious modeling with information filtering networks

Barfuss, Wolfram and Massara, Guido Previde and Di Matteo, T. and Aste, Tomaso (2016) Parsimonious modeling with information filtering networks. Physical Review E, 94 (6). ISSN 1539-3755

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Identification Number: 10.1103/PhysRevE.94.062306

Abstract

We introduce a methodology to construct parsimonious probabilistic models. This method makes use of information filtering networks to produce a robust estimate of the global sparse inverse covariance from a simple sum of local inverse covariances computed on small subparts of the network. Being based on local and low-dimensional inversions, this method is computationally very efficient and statistically robust, even for the estimation of inverse covariance of high-dimensional, noisy, and short time series. Applied to financial data our method results are computationally more efficient than state-of-the-art methodologies such as Glasso producing, in a fraction of the computation time, models that can have equivalent or better performances but with a sparser inference structure. We also discuss performances with sparse factor models where we notice that relative performances decrease with the number of factors. The local nature of this approach allows us to perform computations in parallel and provides a tool for dynamical adaptation by partial updating when the properties of some variables change without the need of recomputing the whole model. This makes this approach particularly suitable to handle big data sets with large numbers of variables. Examples of practical application for forecasting, stress testing, and risk allocation in financial systems are also provided.

Item Type: Article
Official URL: http://journals.aps.org/pre/
Additional Information: © 2016 American Physical Society
Subjects: H Social Sciences > HG Finance
Sets: Research centres and groups > Systemic Risk Centre
Date Deposited: 13 Jan 2017 16:29
Last Modified: 19 Jun 2017 11:47
URI: http://eprints.lse.ac.uk/id/eprint/68860

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