SPARK-2272 [MLlib] Feature scaling which standardizes the range of independent variables or features of data

Feature scaling is a method used to standardize the range of independent variables or features of data. In data processing, it is generally performed during the data preprocessing step.

In this work, a trait called `VectorTransformer` is defined for generic transformation on a vector. It contains one method to be implemented, `transform` which applies transformation on a vector.

There are two implementations of `VectorTransformer` now, and they all can be easily extended with PMML transformation support.

1) `StandardScaler` - Standardizes features by removing the mean and scaling to unit variance using column summary statistics on the samples in the training set.

2) `Normalizer` - Normalizes samples individually to unit L^n norm

Author: DB Tsai <dbtsai@alpinenow.com>

Closes #1207 from dbtsai/dbtsai-feature-scaling and squashes the following commits:

78c15d3 [DB Tsai] Alpine Data Labs
[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 <lpei@gopivotal.com>
Author: Xiangrui Meng <meng@databricks.com>
Author: Liquan Pei <liquanpei@gmail.com>

Closes #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
[SPARK-1687] [PySpark] pickable namedtuple

Add an hook to replace original namedtuple with an pickable one, then namedtuple could be used in RDDs.

PS: pyspark should be import BEFORE "from collections import namedtuple"

Author: Davies Liu <davies.liu@gmail.com>

Closes #1623 from davies/namedtuple and squashes the following commits:

045dad8 [Davies Liu] remove unrelated code changes
4132f32 [Davies Liu] address comment
55b1c1a [Davies Liu] fix tests
61f86eb [Davies Liu] replace all the reference of namedtuple to new hacked one
98df6c6 [Davies Liu] Merge branch 'master' of github.com:apache/spark into namedtuple
f7b1bde [Davies Liu] add hack for CloudPickleSerializer
0c5c849 [Davies Liu] Merge branch 'master' of github.com:apache/spark into namedtuple
21991e6 [Davies Liu] hack namedtuple in __main__ module, make it picklable.
93b03b8 [Davies Liu] pickable namedtuple
SPARK-2792. Fix reading too much or too little data from each stream in ExternalMap / Sorter

All these changes are from mridulm's work in #1609, but extracted here to fix this specific issue and make it easier to merge not 1.1. This particular set of changes is to make sure that we read exactly the right range of bytes from each spill file in EAOM: some serializers can write bytes after the last object (e.g. the TC_RESET flag in Java serialization) and that would confuse the previous code into reading it as part of the next batch. There are also improvements to cleanup to make sure files are closed.

In addition to bringing in the changes to ExternalAppendOnlyMap, I also copied them to the corresponding code in ExternalSorter and updated its test suite to test for the same issues.

Author: Matei Zaharia <matei@databricks.com>

Closes #1722 from mateiz/spark-2792 and squashes the following commits:

5d4bfb5 [Matei Zaharia] Make objectStreamReset counter count the last object written too
18fe865 [Matei Zaharia] Update docs on objectStreamReset
576ee83 [Matei Zaharia] Allow objectStreamReset to be 0
0374217 [Matei Zaharia] Remove super paranoid code to close file handles
bda37bb [Matei Zaharia] Implement Mridul's ExternalAppendOnlyMap fixes in ExternalSorter too
0d6dad7 [Matei Zaharia] Added Mridul's test changes for ExternalAppendOnlyMap
9a78e4b [Matei Zaharia] Add @mridulm's fixes to ExternalAppendOnlyMap for batch sizes
[SPARK-1687] [PySpark] fix unit tests related to pickable namedtuple

serializer is imported multiple times during doctests, so it's better to make _hijack_namedtuple() safe to be called multiple times.

Author: Davies Liu <davies.liu@gmail.com>

Closes #1771 from davies/fix and squashes the following commits:

1a9e336 [Davies Liu] fix unit tests
[SPARK-2323] Exception in accumulator update should not crash DAGScheduler & SparkContext

Author: Reynold Xin <rxin@apache.org>

Closes #1772 from rxin/accumulator-dagscheduler and squashes the following commits:

6a58520 [Reynold Xin] [SPARK-2323] Exception in accumulator update should not crash DAGScheduler & SparkContext.
SPARK-2685. Update ExternalAppendOnlyMap to avoid buffer.remove()

Replaces this with an O(1) operation that does not have to shift over
the whole tail of the array into the gap produced by the element removed.

Author: Matei Zaharia <matei@databricks.com>

Closes #1773 from mateiz/SPARK-2685 and squashes the following commits:

1ea028a [Matei Zaharia] Update comments in StreamBuffer and EAOM, and reuse ArrayBuffers
eb1abfd [Matei Zaharia] Update ExternalAppendOnlyMap to avoid buffer.remove()
Merge remote-tracking branch 'apache/master' into HEAD

Conflicts:
	core/src/main/scala/org/apache/spark/scheduler/DAGScheduler.scala