title: Sparse combinatorial inference with an application in cancer biology.
abstract: BACKGROUND
  Combinatorial effects, in which several variables jointly influence an output or response, play an important role in biological systems. In many settings, Boolean functions provide a natural way to describe such influences. However, biochemical data using which we may wish to characterize such influences are usually subject to much variability. Furthermore, in high-throughput biological settings Boolean relationships of interest are very often sparse, in the sense of being embedded in an overall dataset of higher dimensionality. This motivates a need for statistical methods capable of making inferences regarding Boolean functions under conditions of noise and sparsity.
  
  
  RESULTS
  We put forward a statistical model for sparse, noisy Boolean functions and methods for inference under the model. We focus on the case in which the form of the underlying Boolean function, as well as the number and identity of its inputs are all unknown. We present results on synthetic data and on a study of signalling proteins in cancer biology.
authors.affiliation: Department of Statistics, University of Warwick, Coventry, UK. s.n.mukherjee@warwick.ac.uk
authors.forename: Sach
authors.initials: S
authors.lastname: Mukherjee
authors.forename: Steven
authors.initials: S
authors.lastname: Pelech
authors.forename: Richard M
authors.initials: RM
authors.lastname: Neve
authors.forename: Wen-Lin
authors.initials: WL
authors.lastname: Kuo
authors.forename: Safiyyah
authors.initials: S
authors.lastname: Ziyad
authors.forename: Paul T
authors.initials: PT
authors.lastname: Spellman
authors.forename: Joe W
authors.initials: JW
authors.lastname: Gray
authors.forename: Terence P
authors.initials: TP
authors.lastname: Speed
mesh_terms: D000465:Algorithms; D019295:Computational Biology / Q000379:methods*; D015233:Models, Statistical; D009369:Neoplasms / Q000378:metabolism*; D011506:Proteins / Q000737:chemistry / Q000378:metabolism
chemical_list: D011506:Proteins