dtw (version 1.23-1)

dtwDist: Compute a dissimilarity matrix


Compute the dissimilarity matrix between a set of single-variate timeseries.


dtwDist(mx, my = mx, ...)


A square matrix whose element [i,j] holds the Dynamic Time Warp distance between row i (query) and j (reference) of mx and my, i.e. dtw(mx[i,],my[j,])$distance.



numeric matrix, containing timeseries as rows


numeric matrix, containing timeseries as rows (for cross-distance)


arguments passed to the dtw() call


Toni Giorgino


dtwDist computes a dissimilarity matrix, akin to dist(), based on the Dynamic Time Warping definition of a distance between single-variate timeseries.

The dtwDist command is a synonym for the proxy::dist() function of package proxy; the DTW distance is registered as method="DTW" (see examples below).

The timeseries are stored as rows in the matrix argument m. In other words, if m is an N * T matrix, dtwDist will build NN ordered pairs of timeseries, perform the corresponding NN dtw alignments, and return all of the results in a matrix. Each of the timeseries is T elements long.

dtwDist returns a square matrix, whereas the dist object is lower-triangular. This makes sense because in general the DTW "distance" is not symmetric (see e.g. asymmetric step patterns). To make a square matrix with the proxy::dist() function semantics, use the two-arguments call as dist(m,m). This will return a square crossdist object.


Run this code

## Symmetric step pattern => symmetric dissimilarity matrix;
## no problem coercing it to a dist object:

m <- matrix(0,ncol=3,nrow=4)
m <- row(m)

# Old-fashioned call style would be:
#   dtwDist(m)
#   as.dist(dtwDist(m))

## Find the optimal warping _and_ scale factor at the same time.
## (There may be a better, analytic way)

# Prepare a query and a reference


# Make a set of several references, scaled from 0 to 3 in .1 increments.
# Put them in a matrix, in rows

scaleSet <- seq(0.1,3,by=.1)

# The query has to be made into a 1-row matrix.
# Perform all of the alignments at once, and normalize the result.


# The optimal scale for the reference is 1.0
  xlab="Reference scale factor (denominator)",
  ylab="DTW distance",type="o",
  main="Sine vs scaled cosine alignment, 0 to 4 pi")

## Asymmetric step pattern: we can either disregard part of the pairs
## (as.dist), or average with the transpose

mm <- matrix(runif(12),ncol=3)
dm <- dist(mm,mm,method="DTW",step=asymmetric); # a crossdist object

# Old-fashioned call style would be:
#   dm <- dtwDist(mm,step=asymmetric)
#   as.dist(dm)

## Symmetrize by averaging:

## check definition

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