Align embeddings across participants

This function takes a list of embeddings, one per participant, and procrustes-aligns each to a reference embedding.

Usage

align.embeddings(emb, scl = TRUE, baseno = 1)

Arguments

emb

List of embeddings; each element is one participant.

scl

Flag indicating whether alignment should allow scaling

baseno

Integer indicating which list element to use as the base.

Value

A list with each participant's embedding aligned to the base embedding.

Details

Each element of the list should contain embedding data from one participant, as returned by the function get.combined. Each embedding must contain the same items in the same order, and must be of the same dimension. The function will procrustes-align each participant's embedding to the base participant, specified by the baseno argument. The procrustes alignment permits rotation, translation, scaling and reflection.

Examples

#Example data for subject 1
s1 <- data.frame(
      x = c(1:10) + runif(10)/10,
      y = c(1:10) + runif(10)/10
      )

s2 <- s1 * 2 + 4 #Double and shift s1 data
s2[,1] <- -1 * s2[,1] #Reflect along one dimension

unaligned <- list(s1,s2)
aligned <- align.embeddings(unaligned)