[MLlib] [SPARK-2510]Word2Vec: Distributed Representation of Words

This is a pull request regarding SPARK-2510 at https://issues.apache.org/jira/browse/SPARK-2510. Word2Vec creates vector representation of words in a text corpus. The algorithm first constructs a vocabulary from the corpus and then learns vector representation of words in the vocabulary. The vector representation can be used as features in natural language processing and machine learning algorithms.

To make our implementation more scalable, we train each partition separately and merge the model of each partition after each iteration. To make the model more accurate, multiple iterations may be needed.

To investigate the vector representations is to find the closest words for a query word. For example, the top 20 closest words to "china" are for 1 partition and 1 iteration :

taiwan 0.8077646146334014
korea 0.740913304563621
japan 0.7240667798885471
republic 0.7107151279078352
thailand 0.6953217332072862
tibet 0.6916782118129544
mongolia 0.6800858715972612
macau 0.6794925677480378
singapore 0.6594048695593799
manchuria 0.658989931844148
laos 0.6512978726001666
nepal 0.6380792327845325
mainland 0.6365469459587788
myanmar 0.6358614338840394
macedonia 0.6322366180313249
xinjiang 0.6285291551708028
russia 0.6279951236068411
india 0.6272874944023487
shanghai 0.6234544135576999
macao 0.6220588462925876

The result with 10 partitions and 5 iterations is:
taiwan 0.8310495079388313
india 0.7737171315919039
japan 0.756777901233668
korea 0.7429767187102452
indonesia 0.7407557427278356
pakistan 0.712883426985585
mainland 0.7053379963140822
thailand 0.696298191073948
mongolia 0.693690656871415
laos 0.6913069680735292
macau 0.6903427690029617
republic 0.6766381604813666
malaysia 0.676460699141784
singapore 0.6728790997360923
malaya 0.672345232966194
manchuria 0.6703732292753156
macedonia 0.6637955686322028
myanmar 0.6589462882439646
kazakhstan 0.657017801081494
cambodia 0.6542383836451932

Author: Liquan Pei <[email protected]>
Author: Xiangrui Meng <[email protected]>
Author: Liquan Pei <[email protected]>

Closes apache#1719 from Ishiihara/master and squashes the following commits:

2ba9483 [Liquan Pei] minor fix for Word2Vec test
e248441 [Liquan Pei] minor style change
26a948d [Liquan Pei] Merge pull request #1 from mengxr/Ishiihara-master
c14da41 [Xiangrui Meng] fix styles
384c771 [Xiangrui Meng] remove minCount and window from constructor change model to use float instead of double
e93e726 [Liquan Pei] use treeAggregate instead of aggregate
1a8fb41 [Liquan Pei] use weighted sum in combOp
7efbb6f [Liquan Pei] use broadcast version of vocab in aggregate
6bcc8be [Liquan Pei] add multiple iteration support
720b5a3 [Liquan Pei] Add test for Word2Vec algorithm, minor fixes
2e92b59 [Liquan Pei] modify according to feedback
57dc50d [Liquan Pei] code formatting
e4a04d3 [Liquan Pei] minor fix
0aafb1b [Liquan Pei] Add comments, minor fixes
8d6befe [Liquan Pei] initial commit

(cherry picked from commit e053c55)
Signed-off-by: Xiangrui Meng <[email protected]>