Leif Walsh created SPARK-24258:
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             Summary: SPIP: Improve PySpark support for ML Matrix and Vector 
types
                 Key: SPARK-24258
                 URL: https://issues.apache.org/jira/browse/SPARK-24258
             Project: Spark
          Issue Type: New Feature
          Components: ML, PySpark
    Affects Versions: 2.3.0
            Reporter: Leif Walsh


h1. Background and Motivation:

In Spark ML ({{pyspark.ml.linalg}}), there are four column types you can 
construct, {{SparseVector}}, {{DenseVector}}, {{SparseMatrix}}, and 
{{DenseMatrix}}.  In PySpark, you can construct one of these vectors with 
{{VectorAssembler}}, and then you can run python UDFs on these columns, and use 
{{toArray()}} to get numpy ndarrays and do things with them.  They also have a 
small native API where you can compute {{dot()}}, {{norm()}}, and a few other 
things with them (I think these are computed in scala, not python, could be 
wrong).

For statistical applications, having the ability to manipulate columns of 
matrix and vector values (from here on, I will use the term tensor to refer to 
arrays of arbitrary dimensionality, matrices are 2-tensors and vectors are 
1-tensors) would be powerful.  For example, you could use PySpark to reshape 
your data in parallel, assemble some matrices from your raw data, and then run 
some statistical computation on them using UDFs leveraging python libraries 
like statsmodels, numpy, tensorflow, and scikit-learn.

I propose enriching the {{pyspark.ml.linalg}} types in the following ways:

# Expand the set of column operations one can apply to tensor columns beyond 
the few functions currently available on these types.  Ideally, the API should 
aim to be as wide as the numpy ndarray API, but would wrap Breeze operations.  
For example, we should provide {{DenseVector.outerProduct()}} so that a user 
could write something like {{df.withColumn("XtX", 
df["X"].outerProduct(df["X"]))}}.
# Make sure all ser/de mechanisms (including Arrow) understand these types, and 
faithfully represent them as natural types in all languages (in scala and java, 
Breeze objects, in python, numpy ndarrays rather than the pyspark.ml.linalg 
types that wrap them, in SparkR, I'm not sure what, but something natural) when 
applying UDFs or collecting with {{toPandas()}}.
# Improve the construction of these types from scalar columns.  The 
{{VectorAssembler}} API is not very ergonomic.  I propose something like 
{{df.withColumn("predictors", Vector.of(df["feature1"], df["feature2"], 
df["feature3"]))}}.

h1. Target Personas:

Data scientists, machine learning practitioners, machine learning library 
developers.

h1. Goals:

This would allow users to do more statistical computation in Spark natively, 
and would allow users to apply python statistical computation to data in Spark 
using UDFs.

h1. Non-Goals:

I suppose one non-goal is to reimplement something like statsmodels using 
Breeze data structures and computation.  That could be seen as an effort to 
enrich Spark ML itself, but is out of scope of this effort.  This effort is 
just to make it possible and easy to apply existing python libraries to tensor 
values in parallel.

h1. Proposed API Changes:

Add the above APIs to PySpark and the other language bindings.  I think the 
list is:

# {{pyspark.ml.linalg.Vector.of(*columns)}}
# {{pyspark.ml.linalg.Matrix.of(<not sure what goes here, maybe we don't 
provide this>)}}
# For each of the matrix and vector types in {{pyspark.ml.linalg}}, add more 
methods like {{outerProduct}}, {{matmul}}, {{kron}}, etc.  
https://docs.scipy.org/doc/numpy-1.14.0/reference/routines.linalg.html has a 
good list to look at.

Also, change python UDFs so that these tensor types are passed to the python 
function not as {Sparse,Dense}{Matrix,Vector} objects that wrap 
{{numpy.ndarray}}, but as {{numpy.ndarray}} objects by themselves, and 
interpret return values that are {{numpy.ndarray}} objects back into the spark 
types.



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