Calculate the Jaccard similarity between each words in 2 vectors

Question

I need to calculate the Jaccard similarity between each words in 2 vectors. Every word for every word. And extract the most similar word.

Here is my bad bad slow code:

txt1 <- c('The quick brown fox jumps over the lazy dog')
txt2 <- c('Te quick foks jump ovar lazzy dogg')

words <- strsplit(as.character(txt1), " ")
words.p <- strsplit(as.character(txt2), " ")

r <- length(words[[1]])
c <- length(words.p[[1]])

m <- matrix(nrow=r, ncol=c)
for (i in 1:r){
  for (j in 1:c){
    m[i,j] = stringdist(tolower(words.p[[1]][j]), tolower(words[[1]][i]), method='jaccard', q=2)
  }
}

ind <- which(m == min(m))-nrow(m)
words[[1]][ind]

Please help me improve and decorate this code for a large data frame.

Answer 1

Preparation (added tolowerhere):

txt1 <- c('The quick brown fox jumps over the lazy dog')
txt2 <- c('Te quick foks jump ovar lazzy dogg')

words <- unlist(strsplit(tolower(as.character(txt1)), " "))
words.p <- unlist(strsplit(tolower(as.character(txt2)), " "))

Get distance for each word:

dists <- sapply(words, Map, f=stringdist, list(words.p), method="jaccard")

For each word in, wordsfind the closest word from words.p:

matches <- words.p[sapply(dists, which.min)]

cbind(words, matches)
              matches
 [1,] "the"   "te"
 [2,] "quick" "quick"
 [3,] "brown" "ovar"
 [4,] "fox"   "foks"
 [5,] "jumps" "jump"
 [6,] "over"  "ovar"
 [7,] "the"   "te"
 [8,] "lazy"  "lazzy"
 [9,] "dog"   "dogg"

EDIT:

To get the best matching pair of words, you must first select the minimum distance from each word in wordsto all words in words.p:

mindists <- sapply(dists, min)

. words :

words[which.min(mindists)]

:

words[which.min(sapply(dists, min))]