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https://issues.apache.org/jira/browse/LUCENE-3714?page=com.atlassian.jira.plugin.system.issuetabpanels:comment-tabpanel&focusedCommentId=13190778#comment-13190778
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Dawid Weiss commented on LUCENE-3714:
-------------------------------------

You're correct -- I should be comparing full paths so far, not the current 
label. Otherwise I see we're pretty much the same. I like the lower bound 
cutoff condition. I vaguely understand the NO_OUTPUT optimization. :) 

I like it, this indeed is a nice improvement - if somebody wants exact scores, 
they can have them.
                
> add suggester that uses shortest path/wFST instead of buckets
> -------------------------------------------------------------
>
>                 Key: LUCENE-3714
>                 URL: https://issues.apache.org/jira/browse/LUCENE-3714
>             Project: Lucene - Java
>          Issue Type: New Feature
>          Components: modules/spellchecker
>            Reporter: Robert Muir
>         Attachments: LUCENE-3714.patch, LUCENE-3714.patch, TestMe.java, 
> out.png
>
>
> Currently the FST suggester (really an FSA) quantizes weights into buckets 
> (e.g. single byte) and puts them in front of the word.
> This makes it fast, but you lose granularity in your suggestions.
> Lately the question was raised, if you build lucene's FST with 
> positiveintoutputs, does it behave the same as a tropical semiring wFST?
> In other words, after completing the word, we instead traverse min(output) at 
> each node to find the 'shortest path' to the 
> best suggestion (with the highest score).
> This means we wouldnt need to quantize weights at all and it might make some 
> operations (e.g. adding fuzzy matching etc) a lot easier.

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