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News
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- 2007 10K
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- 2007 10K
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- 2007 10K
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- Western Mari
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- Wu Chinese
- Xhosa
- Yakut
- Yiddish
- Yoruba
- Yue Chinese
- Zeeuws
- Zulu
Significance resp. Frequency resp. Number of right/left co-occurrences per Word vs. Rank
Slope from rank 10 to 1000 (sig)
| Slope |
|---|
| -0.5649 |
Slope from rank 10 to 1000 (freq)
| Slope |
|---|
| -0.6426 |
Slope from rank 10 to 1000 (left cooc)
| Slope |
|---|
| -0.8621 |
Slope from rank 10 to 1000 (right cooc)
| Slope |
|---|
| -0.8538 |
46 msec needed at 2018-02-17 11:06
5.1.11 Zipf's law for NN co-occurrences
Data Description
Usually Zipf’s law compares word frequency with word rank. Here we consider:
-
Significance vs. rank (drawn in red): Order all pairs of co-occurrences by significance. Plot the significance against the so defined rank.
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Frequency vs. rank (green): As above, but use frequency instead of rank.
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Number of right neighbors per word vs. rank (blue): Much like the original Zipf’s law, but use the number of right co-occurrences instead of its frequency.
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Number of left neighbors per word vs. rank (pink): As above, but left instead of right neighbors.
Usage
The slope of the curves may give language parameters.
Especially the comparison of the last two lines might be important to see a possible difference between left and right neighbors for some languages.
Technical Details
Simplified Select statement
Significance vs. rank:
SELECT @pos:=(@pos+1), round(sig) FROM (SELECT @pos:=0) r, co_n WHERE w1_id>100 and w2_id>100 order by round(sig) desc;
Frequency vs. rank:
SELECT @pos:=(@pos+1), freq FROM (SELECT @pos:=0) r, co_n WHERE w1_id>100 and w2_id>100 order by freq desc;
Number of right neighbors per word vs. rank:
SELECT @pos:=(@pos+1), xx.cnt FROM (SELECT @pos:=0) r, (select count(*) as cnt from co_n WHERE w1_id>100 and w2_id>100 group by w1_id order by cnt desc) xx;
Number of right neighbors per word vs. rank:
SELECT @pos:=(@pos+1), xx.cnt FROM (SELECT @pos:=0) r, (select count(*) as cnt from co_n WHERE w1_id>100 and w2_id>100 group by w2_id order by cnt desc) xx;
Open questions
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How to calculate the slope?
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Why the green and red curve are parallel? Cp. 5.2.9.
See also
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5.2.9 Zipf's law for Sentence co-occurrences