Afrika Statistika

Network estimation in State Space Models with L1-regularization constraint

Lotsi Anani and Ernst Wit

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Abstract

Microarray technologies and related methods coupled with appropriate mathematical and statistical models have made it possible to identify dynamic regulatory networks by measuring time course expression levels of many genes simultaneously. However one of the challenges is the high-dimensional nature of such data coupled with the fact that these gene expression data are known not to include various biological process. As genomic interactions are highly structured, the aim was to derive a method for inferring a sparse dynamic network in a high dimensional data setting. The paper assumes that the observations are noisy measurements of gene expression in the form of mRNAs, whose dynamics can be described by some partially observed process.

Article information

Source
Afr. Stat., Volume 12, Number 2 (2017), 1253-1273.

Dates
Received: 25 April 2017
Accepted: 8 June 2017
First available in Project Euclid: 14 September 2017

Permanent link to this document
https://projecteuclid.org/euclid.as/1505354423

Digital Object Identifier
doi:10.16929/as/2017.1253.103

Mathematical Reviews number (MathSciNet)
MR3703439

Zentralblatt MATH identifier
1373.62533

Subjects
Primary: 62-09: Graphical methods 62H12: Estimation 62J07: Ridge regression; shrinkage estimators

Keywords
genomic gene expression microarray sparse EM algorithm state space model

Citation

Anani, Lotsi; Wit, Ernst. Network estimation in State Space Models with L1-regularization constraint. Afr. Stat. 12 (2017), no. 2, 1253--1273. doi:10.16929/as/2017.1253.103. https://projecteuclid.org/euclid.as/1505354423


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