Small Gaussian dataset for the introductory vignette.

A synthetic Gaussian regression dataset used to illustrate pic() throughout the introductory vignette. It contains \(n = 100\) observations of \(p = 30\) predictors, of which only \(s = 5\) carry signal; the remaining 25 are pure noise.

Usage

QuickStartExample

Format

A list with two components:

X

Numeric matrix of dimension \(100 \times 30\) with column names gene_* and noise_*.

y

Numeric vector of length \(100\).

Details

Column names are chosen to make the underlying support obvious at a glance:

• gene_1, ..., gene_5: the five active variables, whose non-zero coefficients are drawn uniformly in \([0.5,\, 1.5]\) with random sign.

• noise_1, ..., noise_25: the remaining inactive variables, with true coefficient \(0\).

The columns are interleaved in random order; column names are the only indicator of which features are part of the true support.

The response is generated as \(y = X\beta + \varepsilon\) with \(\varepsilon \sim \mathcal{N}(0, 1)\).

Examples

data(QuickStartExample)
fit <- pic(QuickStartExample$X, QuickStartExample$y)
fit$selected
#> [1] "gene_1" "gene_2" "gene_3" "gene_4" "gene_5"