Sven:
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-----
Uwe Schindler
H.-H.-Meier-Allee 63, D-28213 Bremen
http://www.thetaphi.de
eMail: [email protected]


> -----Original Message-----
> From: Biedermann,S.,Fa. Post Direkt [mailto:[email protected]]
> Sent: Monday, December 27, 2010 12:23 PM
> To: [email protected]
> Subject: Improving String Distance calculation performance
> 
> Hi,
> 
> this is my first post to this mailing list, so I first want to say hello
to all of you!
> 
>       You are doing a great job
> 
> In org.apache.lucene.search.FuzzyTermEnum I found an optimised
> implementation of the Levenstein-Algorithms which makes use of the fact
> that the algorithm can be aborted if a given minimum similarity cannot be
> reached anymore. I isolated that algorithm into a subclass of
> org.apache.lucene.spell.StringDistance, since we usually can make use of
this
> optimisation.
> 
> With our current miminum similarity setting of 0.75 this algorithm needs
> against our test data only about 22% of run time compared to the original
> algorithm from the spell package.
> 
> With a further optimisation candidate (see below) the runtime can be
further
> reduced by another third to only 14% of original Levenstein.
> 
> So, my first question is: is it worth adding a further method to the
> StringDistance-Interface:
> 
>       float getDistance(String left, String right, float
> minimumSimilarity)
> 
> so that applications can make use of possible optimisations
(StringDistance-
> Implementations without optimisations would just skip the minimSimilarity
> parameter)?
> 
> 
> The idea of the optimsation candidate is about calculating only those
fields in
> the "virtual" matrix that are near its diagonal.
> It is only a candidants since we have not prooven it to work. But with all
our
> test data (0.5 billion comparisons) there is no difference to the original
> algorithm.
> 
> Do you have any counter examples?
> Since this is my first post, is this the right mailing list?
> 
> Best Regards,
> 
> Sven
> 
> 
> 
> 
> 
> Here is the code taken from FuzzyTermEnum with some modfications  (p and
> d are initialised somewhere else):
> 
>     public float getDistance(final String left, final String right, float
> minimumSimilarity) {
>         final int m = right.length();
>         final int n = left.length();
>         final int maxLength = Math.max(m, n);
>         if (n == 0)  {
>           //we don't have anything to compare.  That means if we just add
>           //the letters for m we get the new word
>             return (m == 0) ? 1f : 0f;
>         }
>         if (m == 0) {
>           return 0f;
>         }
> 
>         // be patient with rounding errors (1.0000001f instead of 1f).
>         final int maxDistance = (int) ((1.0000001f-minimumSimilarity) *
> maxLength);
> 
>         if (maxDistance < Math.abs(m-n)) {
>           //just adding the characters of m to n or vice-versa results in
>           //too many edits
>           //for example "pre" length is 3 and "prefixes" length is 8.
> We can see that
>           //given this optimal circumstance, the edit distance cannot be
less than
> 5.
>           //which is 8-3 or more precisely Math.abs(3-8).
>           //if our maximum edit distance is 4, then we can discard this
word
>           //without looking at it.
>           return 0.0f;
>         }
> 
>         // if no edits are allowed, strings must be equal
>         if (maxDistance == 0)
>             return left.equals(right) ? 1f : 0f;
> 
>         // init matrix d
>         for (int i = 0; i<=n; i++) {
>           p[i] = i;
>         }
> 
>         // start computing edit distance
>         for (int j = 1; j<=m; j++) { // iterates through target
>           int bestPossibleEditDistance = m;
>           final char t_j = right.charAt(j-1); // jth character of t
>           d[0] = j;
> 
> 
> //-------> here is the optimisation candiates
> 
>           //only iterate through a maxDistance corridor
>           final int startAt  = Math.max(1, j - maxDistance );
>           final int finishAt = Math.min(n, maxDistance - 1 + j);
> 
>           for (int i=startAt; i<=finishAt; ++i) { // iterates through text
> //--------
>             // minimum of cell to the left+1, to the top+1, diagonally
left and up
> +(0|1)
>             final char t_i = left.charAt(i-1);
>             if (t_j != t_i) {
>               d[i] = Math.min(Math.min(d[i-1], p[i]),  p[i-1]) + 1;
>             } else {
>                 d[i] = Math.min(Math.min(d[i-1], p[i]) + 1,  p[i-1]);
>             }
>             bestPossibleEditDistance =
> Math.min(bestPossibleEditDistance, d[i]);
> 
>           }
> 
>           //After calculating row i, the best possible edit distance
>           //can be found by found by finding the smallest value in a given
column.
>           //If the bestPossibleEditDistance is greater than the max
distance,
> abort.
> 
>           if (j > maxDistance && bestPossibleEditDistance > maxDistance) {
> //equal is okay, but not greater
>             //the closest the target can be to the text is just too far
away.
>             //this target is leaving the party early.
>             return 0.0f;
>           }
> 
>           // copy current distance counts to 'previous row' distance
> counts: swap p and d
>           int _d[] = p;
>           p = d;
>           d = _d;
>         }
> 
>         // our last action in the above loop was to switch d and p, so p
now
>         // actually has the most recent cost counts
> 
>         // this will return less than 0.0 when the edit distance is
>         // greater than the number of characters in the shorter word.
>         // but this was the formula that was previously used in
FuzzyTermEnum,
>         // so it has not been changed (even though minimumSimilarity must
be
>         // greater than 0.0)
>         return 1.0f - ((float)p[n] / (float) (maxLength));
>       }
> 
> 
> 
> 
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