# The 'xyz' Algorithm for Fast Interaction Search in High-Dimensional Data

High dimensional interaction search by brute force requires a quadratic computational cost in the number of variables. The xyz algorithm provably finds strong interactions in almost linear time. For details of the algorithm see: G. Thanei, N. Meinshausen and R. Shah (2016). The xyz algorithm for fast interaction search in high-dimensional data < https://arxiv.org/pdf/1610.05108v1.pdf>.

R package of the xyz algorithm for fast interaction search in high-dimensional data.

## what is it?

Finding interactions in high-dimensional data can be computationally very expensive. If the data set has p variables then naive search incurs a quadratic cost in p.

The xyz algorithm finds strong interaction in almost linear time.

### example

A simple example in R:

``````library(xyz)
n<-300
p<-1000
#construct a binary matrix
X<-matrix(sample(c(-1,1),replace=TRUE,n*p),n,p)
#set an interaction of the pair (1,2)
Y<-X[,1]*X[,2]
#run the interaction search
result<-xyz_search(X,Y,L=10,N=10,binary=TRUE,negative=TRUE)
#print the result
print(result)
``````

### how to install

This package is only on github and not yet on CRAN. To install run the following code:

``````library(devtools)
install_github("gathanei/xyz")
``````

xyz-paper

# Reference manual

install.packages("xyz")

0.2 by Gian-Andrea Thanei, 4 years ago

Browse source code at https://github.com/cran/xyz

Authors: Gian-Andrea Thanei

Documentation:   PDF Manual

Imports stats, Rcpp

Suggests knitr, rmarkdown