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56 changes: 46 additions & 10 deletions R/NPmatch.R
Original file line number Diff line number Diff line change
Expand Up @@ -47,21 +47,24 @@ NPmatch <- function(X,
## Creates a fully paired dataset with nearest
## matching neighbours when pairs are missing.

## Guard against unstable k-NN matching on very small sample sizes
knn <- ifelse(ncol(X) <= 3, 1, knn)

## Compute distance matrix for NNM-pairing
y1 <- paste0("y=", y)
dX <- X

## Reduce for speed
if(sdtop > nrow(dX)) sdtop <- nrow(dX)
dX <- dX[order(-apply(dX, 1, sd)),][1:sdtop, ]
dX <- dX[order(-apply(dX, 1, sd, na.rm = TRUE)),][1:sdtop, ]

if (center.x) {
dX <- dX - rowMeans(dX, na.rm = TRUE)
}

if (center.m) {
## Center per condition group (takes out pheno differences)
mX <- tapply(1:ncol(dX), y1, function(i) rowMeans(dX[, i, drop = FALSE]))
mX <- tapply(1:ncol(dX), y1, function(i) rowMeans(dX[, i, drop = FALSE], na.rm = TRUE))
mX <- do.call(cbind, mX)
dX <- dX - mX[, y1]
}
Expand All @@ -78,18 +81,26 @@ NPmatch <- function(X,
D[is.na(D)] <- 0

## Find neighbours
B <- matrix(0, 0, 0)
if (knn > 1) {
message(paste0("[NPmatch] finding ", knn, "-nearest neighbours..."))
bb <- apply(D, 1, function(r) tapply(r, y1, function(s) head(names(sort(s)), knn)))
B <- do.call(rbind, lapply(bb, function(x) unlist(x)))
colnames(B) <- unlist(mapply(rep, names(bb[[1]]), sapply(bb[[1]], length)), use.names = FALSE)
} else {
}
if (knn == 1 || nrow(B) != ncol(X)) {
message("[NPmatch] finding nearest neighbours...")
B <- t(apply(D, 1, function(r) tapply(r, y1, function(s) names(which.min(s)))))
}
rownames(B) <- colnames(X)

## Sanity check. Bail out
if (nrow(B) != ncol(X)) {
message("[NPmatch] WARNING. FATAL ERROR. returning uncorrected X.")
return(X)
}

## Ensure sample is always present in own group
rownames(B) <- colnames(X)
idx <- cbind(1:nrow(B), match(y1, colnames(B)))
B[idx] <- rownames(B)

Expand All @@ -102,15 +113,40 @@ NPmatch <- function(X,

## Remove pairing effect
message("[NPmatch] correcting for pairing effects...")
design <- stats::model.matrix(~full.y)
if (use.cov == FALSE) {
if (!use.design)
design <- matrix(1, ncol(full.X), 1)
full.X <- limma::removeBatchEffect(full.X, batch = full.pairs, design = design)
## Closed-form equivalent of:
## design <- model.matrix(~full.y); if(!use.design) design <- matrix(1, ncol(full.X), 1)
## limma::removeBatchEffect(full.X, batch = full.pairs, design = design)
##
## full.pairs (batch) and full.y (design) form a complete, balanced
## two-way layout: every original sample contributes exactly ncol(B)
## columns to full.X, identically structured across samples (columns
## are laid out as ncol(B) consecutive blocks of nrow(B) samples, one
## block per matched group). For such a balanced/orthogonal layout,
## the batch main effect that removeBatchEffect's OLS fit would
## remove is exactly each sample's own mean deviation from the grand
## mean -- independent of whether the group design is included or
## not. This avoids fitting an n-level factor regression (the
## dominant cost as samples and/or groups grow) in favour of a
## handful of vectorised matrix subtractions.
n <- nrow(B)
g <- ncol(B)
samp.mean <- matrix(0, nrow(full.X), n)
for (j in 1:g) {
cols <- ((j - 1) * n + 1):(j * n)
samp.mean <- samp.mean + full.X[, cols]
}
samp.mean <- samp.mean / g
grand.mean <- rowMeans(samp.mean)
for (j in 1:g) {
cols <- ((j - 1) * n + 1):(j * n)
full.X[, cols] <- full.X[, cols] - samp.mean + grand.mean
}
} else {
V <- model.matrix(~ 0 + full.pairs)
design <- stats::model.matrix(~full.y)
if (!use.design)
design <- matrix(1, ncol(full.X), 1)
V <- model.matrix(~ 0 + full.pairs)
full.X <- limma::removeBatchEffect(full.X, covariates = scale(V), design = design)
}

Expand Down