2014-04-22 14:20:47 -04:00
---
layout: global
2014-08-27 04:19:48 -04:00
title: Data Types - MLlib
displayTitle: < a href = "mllib-guide.html" > MLlib< / a > - Data Types
2014-04-22 14:20:47 -04:00
---
* Table of contents
{:toc}
MLlib supports local vectors and matrices stored on a single machine,
as well as distributed matrices backed by one or more RDDs.
2014-08-12 20:15:21 -04:00
Local vectors and local matrices are simple data models
that serve as public interfaces. The underlying linear algebra operations are provided by
2014-04-22 14:20:47 -04:00
[Breeze ](http://www.scalanlp.org/ ) and [jblas ](http://jblas.org/ ).
2014-08-12 20:15:21 -04:00
A training example used in supervised learning is called a "labeled point" in MLlib.
2014-04-22 14:20:47 -04:00
## Local vector
A local vector has integer-typed and 0-based indices and double-typed values, stored on a single
machine. MLlib supports two types of local vectors: dense and sparse. A dense vector is backed by
a double array representing its entry values, while a sparse vector is backed by two parallel
2014-08-12 20:15:21 -04:00
arrays: indices and values. For example, a vector `(1.0, 0.0, 3.0)` can be represented in dense
2014-04-22 14:20:47 -04:00
format as `[1.0, 0.0, 3.0]` or in sparse format as `(3, [0, 2], [1.0, 3.0])` , where `3` is the size
of the vector.
< div class = "codetabs" >
< div data-lang = "scala" markdown = "1" >
The base class of local vectors is
2014-05-18 20:00:57 -04:00
[`Vector` ](api/scala/index.html#org.apache.spark.mllib.linalg.Vector ), and we provide two
implementations: [`DenseVector` ](api/scala/index.html#org.apache.spark.mllib.linalg.DenseVector ) and
[`SparseVector` ](api/scala/index.html#org.apache.spark.mllib.linalg.SparseVector ). We recommend
2014-04-22 14:20:47 -04:00
using the factory methods implemented in
2015-05-16 03:07:03 -04:00
[`Vectors` ](api/scala/index.html#org.apache.spark.mllib.linalg.Vectors$ ) to create local vectors.
2014-04-22 14:20:47 -04:00
{% highlight scala %}
import org.apache.spark.mllib.linalg.{Vector, Vectors}
// Create a dense vector (1.0, 0.0, 3.0).
val dv: Vector = Vectors.dense(1.0, 0.0, 3.0)
// Create a sparse vector (1.0, 0.0, 3.0) by specifying its indices and values corresponding to nonzero entries.
val sv1: Vector = Vectors.sparse(3, Array(0, 2), Array(1.0, 3.0))
// Create a sparse vector (1.0, 0.0, 3.0) by specifying its nonzero entries.
val sv2: Vector = Vectors.sparse(3, Seq((0, 1.0), (2, 3.0)))
{% endhighlight %}
2014-08-12 20:15:21 -04:00
***Note:***
2014-04-22 14:20:47 -04:00
Scala imports `scala.collection.immutable.Vector` by default, so you have to import
`org.apache.spark.mllib.linalg.Vector` explicitly to use MLlib's `Vector` .
< / div >
< div data-lang = "java" markdown = "1" >
The base class of local vectors is
2014-05-18 20:00:57 -04:00
[`Vector` ](api/java/org/apache/spark/mllib/linalg/Vector.html ), and we provide two
implementations: [`DenseVector` ](api/java/org/apache/spark/mllib/linalg/DenseVector.html ) and
[`SparseVector` ](api/java/org/apache/spark/mllib/linalg/SparseVector.html ). We recommend
2014-04-22 14:20:47 -04:00
using the factory methods implemented in
2015-05-16 03:07:03 -04:00
[`Vectors` ](api/java/org/apache/spark/mllib/linalg/Vectors.html ) to create local vectors.
2014-04-22 14:20:47 -04:00
{% highlight java %}
import org.apache.spark.mllib.linalg.Vector;
import org.apache.spark.mllib.linalg.Vectors;
// Create a dense vector (1.0, 0.0, 3.0).
Vector dv = Vectors.dense(1.0, 0.0, 3.0);
// Create a sparse vector (1.0, 0.0, 3.0) by specifying its indices and values corresponding to nonzero entries.
Vector sv = Vectors.sparse(3, new int[] {0, 2}, new double[] {1.0, 3.0});
{% endhighlight %}
< / div >
< div data-lang = "python" markdown = "1" >
MLlib recognizes the following types as dense vectors:
* NumPy's [`array` ](http://docs.scipy.org/doc/numpy/reference/generated/numpy.array.html )
* Python's list, e.g., `[1, 2, 3]`
and the following as sparse vectors:
2015-03-22 11:56:25 -04:00
* MLlib's [`SparseVector` ](api/python/pyspark.mllib.html#pyspark.mllib.linalg.SparseVector ).
2014-04-22 14:20:47 -04:00
* SciPy's
[`csc_matrix` ](http://docs.scipy.org/doc/scipy/reference/generated/scipy.sparse.csc_matrix.html#scipy.sparse.csc_matrix )
with a single column
We recommend using NumPy arrays over lists for efficiency, and using the factory methods implemented
2015-05-16 03:07:03 -04:00
in [`Vectors` ](api/python/pyspark.mllib.html#pyspark.mllib.linalg.Vectors ) to create sparse vectors.
2014-04-22 14:20:47 -04:00
{% highlight python %}
import numpy as np
import scipy.sparse as sps
from pyspark.mllib.linalg import Vectors
# Use a NumPy array as a dense vector.
dv1 = np.array([1.0, 0.0, 3.0])
# Use a Python list as a dense vector.
dv2 = [1.0, 0.0, 3.0]
# Create a SparseVector.
sv1 = Vectors.sparse(3, [0, 2], [1.0, 3.0])
# Use a single-column SciPy csc_matrix as a sparse vector.
sv2 = sps.csc_matrix((np.array([1.0, 3.0]), np.array([0, 2]), np.array([0, 2])), shape = (3, 1))
{% endhighlight %}
< / div >
< / div >
## Labeled point
A labeled point is a local vector, either dense or sparse, associated with a label/response.
In MLlib, labeled points are used in supervised learning algorithms.
We use a double to store a label, so we can use labeled points in both regression and classification.
2014-08-12 20:15:21 -04:00
For binary classification, a label should be either `0` (negative) or `1` (positive).
For multiclass classification, labels should be class indices starting from zero: `0, 1, 2, ...` .
2014-04-22 14:20:47 -04:00
< div class = "codetabs" >
< div data-lang = "scala" markdown = "1" >
A labeled point is represented by the case class
2014-05-18 20:00:57 -04:00
[`LabeledPoint` ](api/scala/index.html#org.apache.spark.mllib.regression.LabeledPoint ).
2014-04-22 14:20:47 -04:00
{% highlight scala %}
import org.apache.spark.mllib.linalg.Vectors
import org.apache.spark.mllib.regression.LabeledPoint
// Create a labeled point with a positive label and a dense feature vector.
val pos = LabeledPoint(1.0, Vectors.dense(1.0, 0.0, 3.0))
// Create a labeled point with a negative label and a sparse feature vector.
val neg = LabeledPoint(0.0, Vectors.sparse(3, Array(0, 2), Array(1.0, 3.0)))
{% endhighlight %}
< / div >
< div data-lang = "java" markdown = "1" >
A labeled point is represented by
2014-05-18 20:00:57 -04:00
[`LabeledPoint` ](api/java/org/apache/spark/mllib/regression/LabeledPoint.html ).
2014-04-22 14:20:47 -04:00
{% highlight java %}
import org.apache.spark.mllib.linalg.Vectors;
import org.apache.spark.mllib.regression.LabeledPoint;
// Create a labeled point with a positive label and a dense feature vector.
LabeledPoint pos = new LabeledPoint(1.0, Vectors.dense(1.0, 0.0, 3.0));
// Create a labeled point with a negative label and a sparse feature vector.
LabeledPoint neg = new LabeledPoint(1.0, Vectors.sparse(3, new int[] {0, 2}, new double[] {1.0, 3.0}));
{% endhighlight %}
< / div >
< div data-lang = "python" markdown = "1" >
A labeled point is represented by
2015-03-22 11:56:25 -04:00
[`LabeledPoint` ](api/python/pyspark.mllib.html#pyspark.mllib.regression.LabeledPoint ).
2014-04-22 14:20:47 -04:00
{% highlight python %}
from pyspark.mllib.linalg import SparseVector
from pyspark.mllib.regression import LabeledPoint
# Create a labeled point with a positive label and a dense feature vector.
pos = LabeledPoint(1.0, [1.0, 0.0, 3.0])
# Create a labeled point with a negative label and a sparse feature vector.
neg = LabeledPoint(0.0, SparseVector(3, [0, 2], [1.0, 3.0]))
{% endhighlight %}
< / div >
< / div >
***Sparse data***
It is very common in practice to have sparse training data. MLlib supports reading training
examples stored in `LIBSVM` format, which is the default format used by
[`LIBSVM` ](http://www.csie.ntu.edu.tw/~cjlin/libsvm/ ) and
2014-08-12 20:15:21 -04:00
[`LIBLINEAR` ](http://www.csie.ntu.edu.tw/~cjlin/liblinear/ ). It is a text format in which each line
2014-04-22 14:20:47 -04:00
represents a labeled sparse feature vector using the following format:
~~~
label index1:value1 index2:value2 ...
~~~
where the indices are one-based and in ascending order.
After loading, the feature indices are converted to zero-based.
< div class = "codetabs" >
< div data-lang = "scala" markdown = "1" >
2014-05-18 20:00:57 -04:00
[`MLUtils.loadLibSVMFile` ](api/scala/index.html#org.apache.spark.mllib.util.MLUtils$ ) reads training
2014-04-22 14:20:47 -04:00
examples stored in LIBSVM format.
{% highlight scala %}
import org.apache.spark.mllib.regression.LabeledPoint
import org.apache.spark.mllib.util.MLUtils
import org.apache.spark.rdd.RDD
2014-07-13 22:27:43 -04:00
val examples: RDD[LabeledPoint] = MLUtils.loadLibSVMFile(sc, "data/mllib/sample_libsvm_data.txt")
2014-04-22 14:20:47 -04:00
{% endhighlight %}
< / div >
< div data-lang = "java" markdown = "1" >
2014-05-18 20:00:57 -04:00
[`MLUtils.loadLibSVMFile` ](api/java/org/apache/spark/mllib/util/MLUtils.html ) reads training
2014-04-22 14:20:47 -04:00
examples stored in LIBSVM format.
{% highlight java %}
import org.apache.spark.mllib.regression.LabeledPoint;
import org.apache.spark.mllib.util.MLUtils;
2014-05-18 20:00:57 -04:00
import org.apache.spark.api.java.JavaRDD;
JavaRDD< LabeledPoint > examples =
2014-07-13 22:27:43 -04:00
MLUtils.loadLibSVMFile(jsc.sc(), "data/mllib/sample_libsvm_data.txt").toJavaRDD();
2014-05-18 20:00:57 -04:00
{% endhighlight %}
< / div >
< div data-lang = "python" markdown = "1" >
2015-03-22 11:56:25 -04:00
[`MLUtils.loadLibSVMFile` ](api/python/pyspark.mllib.html#pyspark.mllib.util.MLUtils ) reads training
2014-05-18 20:00:57 -04:00
examples stored in LIBSVM format.
2014-04-22 14:20:47 -04:00
2014-05-18 20:00:57 -04:00
{% highlight python %}
from pyspark.mllib.util import MLUtils
2014-07-13 22:27:43 -04:00
examples = MLUtils.loadLibSVMFile(sc, "data/mllib/sample_libsvm_data.txt")
2014-04-22 14:20:47 -04:00
{% endhighlight %}
< / div >
< / div >
## Local matrix
A local matrix has integer-typed row and column indices and double-typed values, stored on a single
2014-08-12 20:15:21 -04:00
machine. MLlib supports dense matrices, whose entry values are stored in a single double array in
2014-04-22 14:20:47 -04:00
column major. For example, the following matrix `\[ \begin{pmatrix}
1.0 & 2.0 \\
3.0 & 4.0 \\
5.0 & 6.0
\end{pmatrix}
\]`
is stored in a one-dimensional array `[1.0, 3.0, 5.0, 2.0, 4.0, 6.0]` with the matrix size `(3, 2)` .
< div class = "codetabs" >
< div data-lang = "scala" markdown = "1" >
The base class of local matrices is
2014-05-18 20:00:57 -04:00
[`Matrix` ](api/scala/index.html#org.apache.spark.mllib.linalg.Matrix ), and we provide one
implementation: [`DenseMatrix` ](api/scala/index.html#org.apache.spark.mllib.linalg.DenseMatrix ).
2014-08-12 20:15:21 -04:00
We recommend using the factory methods implemented
2015-05-16 03:07:03 -04:00
in [`Matrices` ](api/scala/index.html#org.apache.spark.mllib.linalg.Matrices$ ) to create local
2014-04-22 14:20:47 -04:00
matrices.
{% highlight scala %}
import org.apache.spark.mllib.linalg.{Matrix, Matrices}
// Create a dense matrix ((1.0, 2.0), (3.0, 4.0), (5.0, 6.0))
val dm: Matrix = Matrices.dense(3, 2, Array(1.0, 3.0, 5.0, 2.0, 4.0, 6.0))
{% endhighlight %}
< / div >
< div data-lang = "java" markdown = "1" >
The base class of local matrices is
2014-05-18 20:00:57 -04:00
[`Matrix` ](api/java/org/apache/spark/mllib/linalg/Matrix.html ), and we provide one
implementation: [`DenseMatrix` ](api/java/org/apache/spark/mllib/linalg/DenseMatrix.html ).
2014-08-12 20:15:21 -04:00
We recommend using the factory methods implemented
2014-05-18 20:00:57 -04:00
in [`Matrices` ](api/java/org/apache/spark/mllib/linalg/Matrices.html ) to create local
2014-04-22 14:20:47 -04:00
matrices.
{% highlight java %}
import org.apache.spark.mllib.linalg.Matrix;
import org.apache.spark.mllib.linalg.Matrices;
// Create a dense matrix ((1.0, 2.0), (3.0, 4.0), (5.0, 6.0))
Matrix dm = Matrices.dense(3, 2, new double[] {1.0, 3.0, 5.0, 2.0, 4.0, 6.0});
{% endhighlight %}
< / div >
< / div >
## Distributed matrix
A distributed matrix has long-typed row and column indices and double-typed values, stored
distributively in one or more RDDs. It is very important to choose the right format to store large
and distributed matrices. Converting a distributed matrix to a different format may require a
2014-08-12 20:15:21 -04:00
global shuffle, which is quite expensive. Three types of distributed matrices have been implemented
so far.
2014-04-22 14:20:47 -04:00
2014-05-18 20:00:57 -04:00
The basic type is called `RowMatrix` . A `RowMatrix` is a row-oriented distributed
matrix without meaningful row indices, e.g., a collection of feature vectors.
It is backed by an RDD of its rows, where each row is a local vector.
2014-08-12 20:15:21 -04:00
We assume that the number of columns is not huge for a `RowMatrix` so that a single
local vector can be reasonably communicated to the driver and can also be stored /
operated on using a single node.
2014-05-18 20:00:57 -04:00
An `IndexedRowMatrix` is similar to a `RowMatrix` but with row indices,
2014-08-12 20:15:21 -04:00
which can be used for identifying rows and executing joins.
A `CoordinateMatrix` is a distributed matrix stored in [coordinate list (COO) ](https://en.wikipedia.org/wiki/Sparse_matrix#Coordinate_list_.28COO.29 ) format,
2014-05-18 20:00:57 -04:00
backed by an RDD of its entries.
2014-04-22 14:20:47 -04:00
***Note***
The underlying RDDs of a distributed matrix must be deterministic, because we cache the matrix size.
2014-08-12 20:15:21 -04:00
In general the use of non-deterministic RDDs can lead to errors.
2014-04-22 14:20:47 -04:00
### RowMatrix
A `RowMatrix` is a row-oriented distributed matrix without meaningful row indices, backed by an RDD
2014-08-12 20:15:21 -04:00
of its rows, where each row is a local vector.
Since each row is represented by a local vector, the number of columns is
2014-04-22 14:20:47 -04:00
limited by the integer range but it should be much smaller in practice.
< div class = "codetabs" >
< div data-lang = "scala" markdown = "1" >
2014-05-18 20:00:57 -04:00
A [`RowMatrix` ](api/scala/index.html#org.apache.spark.mllib.linalg.distributed.RowMatrix ) can be
2014-04-22 14:20:47 -04:00
created from an `RDD[Vector]` instance. Then we can compute its column summary statistics.
{% highlight scala %}
import org.apache.spark.mllib.linalg.Vector
import org.apache.spark.mllib.linalg.distributed.RowMatrix
val rows: RDD[Vector] = ... // an RDD of local vectors
// Create a RowMatrix from an RDD[Vector].
val mat: RowMatrix = new RowMatrix(rows)
// Get its size.
val m = mat.numRows()
val n = mat.numCols()
{% endhighlight %}
< / div >
< div data-lang = "java" markdown = "1" >
2014-05-18 20:00:57 -04:00
A [`RowMatrix` ](api/java/org/apache/spark/mllib/linalg/distributed/RowMatrix.html ) can be
2014-04-22 14:20:47 -04:00
created from a `JavaRDD<Vector>` instance. Then we can compute its column summary statistics.
{% highlight java %}
2014-05-06 23:07:22 -04:00
import org.apache.spark.api.java.JavaRDD;
2014-04-22 14:20:47 -04:00
import org.apache.spark.mllib.linalg.Vector;
import org.apache.spark.mllib.linalg.distributed.RowMatrix;
JavaRDD< Vector > rows = ... // a JavaRDD of local vectors
// Create a RowMatrix from an JavaRDD< Vector > .
RowMatrix mat = new RowMatrix(rows.rdd());
// Get its size.
long m = mat.numRows();
long n = mat.numCols();
{% endhighlight %}
< / div >
< / div >
### IndexedRowMatrix
An `IndexedRowMatrix` is similar to a `RowMatrix` but with meaningful row indices. It is backed by
2014-08-12 20:15:21 -04:00
an RDD of indexed rows, so that each row is represented by its index (long-typed) and a local vector.
2014-04-22 14:20:47 -04:00
< div class = "codetabs" >
< div data-lang = "scala" markdown = "1" >
An
2014-05-18 20:00:57 -04:00
[`IndexedRowMatrix` ](api/scala/index.html#org.apache.spark.mllib.linalg.distributed.IndexedRowMatrix )
2014-04-22 14:20:47 -04:00
can be created from an `RDD[IndexedRow]` instance, where
2014-05-18 20:00:57 -04:00
[`IndexedRow` ](api/scala/index.html#org.apache.spark.mllib.linalg.distributed.IndexedRow ) is a
2014-04-22 14:20:47 -04:00
wrapper over `(Long, Vector)` . An `IndexedRowMatrix` can be converted to a `RowMatrix` by dropping
its row indices.
{% highlight scala %}
import org.apache.spark.mllib.linalg.distributed.{IndexedRow, IndexedRowMatrix, RowMatrix}
val rows: RDD[IndexedRow] = ... // an RDD of indexed rows
// Create an IndexedRowMatrix from an RDD[IndexedRow].
val mat: IndexedRowMatrix = new IndexedRowMatrix(rows)
// Get its size.
val m = mat.numRows()
val n = mat.numCols()
// Drop its row indices.
val rowMat: RowMatrix = mat.toRowMatrix()
{% endhighlight %}
< / div >
< div data-lang = "java" markdown = "1" >
An
2014-05-18 20:00:57 -04:00
[`IndexedRowMatrix` ](api/java/org/apache/spark/mllib/linalg/distributed/IndexedRowMatrix.html )
2014-04-22 14:20:47 -04:00
can be created from an `JavaRDD<IndexedRow>` instance, where
2014-05-18 20:00:57 -04:00
[`IndexedRow` ](api/java/org/apache/spark/mllib/linalg/distributed/IndexedRow.html ) is a
2014-04-22 14:20:47 -04:00
wrapper over `(long, Vector)` . An `IndexedRowMatrix` can be converted to a `RowMatrix` by dropping
its row indices.
{% highlight java %}
2014-05-06 23:07:22 -04:00
import org.apache.spark.api.java.JavaRDD;
2014-04-22 14:20:47 -04:00
import org.apache.spark.mllib.linalg.distributed.IndexedRow;
import org.apache.spark.mllib.linalg.distributed.IndexedRowMatrix;
import org.apache.spark.mllib.linalg.distributed.RowMatrix;
2014-05-06 23:07:22 -04:00
JavaRDD< IndexedRow > rows = ... // a JavaRDD of indexed rows
2014-04-22 14:20:47 -04:00
// Create an IndexedRowMatrix from a JavaRDD< IndexedRow > .
IndexedRowMatrix mat = new IndexedRowMatrix(rows.rdd());
// Get its size.
long m = mat.numRows();
long n = mat.numCols();
// Drop its row indices.
RowMatrix rowMat = mat.toRowMatrix();
{% endhighlight %}
< / div > < / div >
### CoordinateMatrix
A `CoordinateMatrix` is a distributed matrix backed by an RDD of its entries. Each entry is a tuple
of `(i: Long, j: Long, value: Double)` , where `i` is the row index, `j` is the column index, and
2014-08-12 20:15:21 -04:00
`value` is the entry value. A `CoordinateMatrix` should be used only when both
2014-04-22 14:20:47 -04:00
dimensions of the matrix are huge and the matrix is very sparse.
< div class = "codetabs" >
< div data-lang = "scala" markdown = "1" >
A
2014-05-18 20:00:57 -04:00
[`CoordinateMatrix` ](api/scala/index.html#org.apache.spark.mllib.linalg.distributed.CoordinateMatrix )
2014-04-22 14:20:47 -04:00
can be created from an `RDD[MatrixEntry]` instance, where
2014-05-18 20:00:57 -04:00
[`MatrixEntry` ](api/scala/index.html#org.apache.spark.mllib.linalg.distributed.MatrixEntry ) is a
2014-08-12 20:15:21 -04:00
wrapper over `(Long, Long, Double)` . A `CoordinateMatrix` can be converted to an `IndexedRowMatrix`
with sparse rows by calling `toIndexedRowMatrix` . Other computations for
`CoordinateMatrix` are not currently supported.
2014-04-22 14:20:47 -04:00
{% highlight scala %}
import org.apache.spark.mllib.linalg.distributed.{CoordinateMatrix, MatrixEntry}
val entries: RDD[MatrixEntry] = ... // an RDD of matrix entries
// Create a CoordinateMatrix from an RDD[MatrixEntry].
val mat: CoordinateMatrix = new CoordinateMatrix(entries)
// Get its size.
val m = mat.numRows()
val n = mat.numCols()
// Convert it to an IndexRowMatrix whose rows are sparse vectors.
val indexedRowMatrix = mat.toIndexedRowMatrix()
{% endhighlight %}
< / div >
< div data-lang = "java" markdown = "1" >
A
2014-05-18 20:00:57 -04:00
[`CoordinateMatrix` ](api/java/org/apache/spark/mllib/linalg/distributed/CoordinateMatrix.html )
2014-04-22 14:20:47 -04:00
can be created from a `JavaRDD<MatrixEntry>` instance, where
2014-05-18 20:00:57 -04:00
[`MatrixEntry` ](api/java/org/apache/spark/mllib/linalg/distributed/MatrixEntry.html ) is a
2014-08-12 20:15:21 -04:00
wrapper over `(long, long, double)` . A `CoordinateMatrix` can be converted to an `IndexedRowMatrix`
with sparse rows by calling `toIndexedRowMatrix` . Other computations for
`CoordinateMatrix` are not currently supported.
2014-04-22 14:20:47 -04:00
2014-05-18 20:00:57 -04:00
{% highlight java %}
2014-05-06 23:07:22 -04:00
import org.apache.spark.api.java.JavaRDD;
2014-04-22 14:20:47 -04:00
import org.apache.spark.mllib.linalg.distributed.CoordinateMatrix;
2014-05-06 23:07:22 -04:00
import org.apache.spark.mllib.linalg.distributed.IndexedRowMatrix;
2014-04-22 14:20:47 -04:00
import org.apache.spark.mllib.linalg.distributed.MatrixEntry;
JavaRDD< MatrixEntry > entries = ... // a JavaRDD of matrix entries
// Create a CoordinateMatrix from a JavaRDD< MatrixEntry > .
2014-05-18 20:00:57 -04:00
CoordinateMatrix mat = new CoordinateMatrix(entries.rdd());
2014-04-22 14:20:47 -04:00
// Get its size.
long m = mat.numRows();
long n = mat.numCols();
// Convert it to an IndexRowMatrix whose rows are sparse vectors.
IndexedRowMatrix indexedRowMatrix = mat.toIndexedRowMatrix();
{% endhighlight %}
< / div >
< / div >
[SPARK-7744] [DOCS] [MLLIB] Distributed matrix" section in MLlib "Data Types" documentation should be reordered.
The documentation for BlockMatrix should come after RowMatrix, IndexedRowMatrix, and CoordinateMatrix, as BlockMatrix references the later three types, and RowMatrix is considered the "basic" distributed matrix. This will improve comprehensibility of the "Distributed matrix" section, especially for the new reader.
Author: Mike Dusenberry <dusenberrymw@gmail.com>
Closes #6270 from dusenberrymw/Reorder_MLlib_Data_Types_Distributed_matrix_docs and squashes the following commits:
6313bab [Mike Dusenberry] The documentation for BlockMatrix should come after RowMatrix, IndexedRowMatrix, and CoordinateMatrix, as BlockMatrix references the later three types, and RowMatrix is considered the "basic" distributed matrix. This will improve comprehensibility of the "Distributed matrix" section, especially for the new reader.
(cherry picked from commit 3860520633770cc5719b2cdebe6dc3608798386d)
Signed-off-by: Xiangrui Meng <meng@databricks.com>
2015-05-19 20:18:08 -04:00
### BlockMatrix
A `BlockMatrix` is a distributed matrix backed by an RDD of `MatrixBlock` s, where a `MatrixBlock` is
a tuple of `((Int, Int), Matrix)` , where the `(Int, Int)` is the index of the block, and `Matrix` is
the sub-matrix at the given index with size `rowsPerBlock` x `colsPerBlock` .
`BlockMatrix` supports methods such as `add` and `multiply` with another `BlockMatrix` .
`BlockMatrix` also has a helper function `validate` which can be used to check whether the
`BlockMatrix` is set up properly.
< div class = "codetabs" >
< div data-lang = "scala" markdown = "1" >
A [`BlockMatrix` ](api/scala/index.html#org.apache.spark.mllib.linalg.distributed.BlockMatrix ) can be
most easily created from an `IndexedRowMatrix` or `CoordinateMatrix` by calling `toBlockMatrix` .
`toBlockMatrix` creates blocks of size 1024 x 1024 by default.
Users may change the block size by supplying the values through `toBlockMatrix(rowsPerBlock, colsPerBlock)` .
{% highlight scala %}
import org.apache.spark.mllib.linalg.distributed.{BlockMatrix, CoordinateMatrix, MatrixEntry}
val entries: RDD[MatrixEntry] = ... // an RDD of (i, j, v) matrix entries
// Create a CoordinateMatrix from an RDD[MatrixEntry].
val coordMat: CoordinateMatrix = new CoordinateMatrix(entries)
// Transform the CoordinateMatrix to a BlockMatrix
val matA: BlockMatrix = coordMat.toBlockMatrix().cache()
// Validate whether the BlockMatrix is set up properly. Throws an Exception when it is not valid.
// Nothing happens if it is valid.
matA.validate()
// Calculate A^T A.
val ata = matA.transpose.multiply(matA)
{% endhighlight %}
< / div >
< div data-lang = "java" markdown = "1" >
A [`BlockMatrix` ](api/java/org/apache/spark/mllib/linalg/distributed/BlockMatrix.html ) can be
most easily created from an `IndexedRowMatrix` or `CoordinateMatrix` by calling `toBlockMatrix` .
`toBlockMatrix` creates blocks of size 1024 x 1024 by default.
Users may change the block size by supplying the values through `toBlockMatrix(rowsPerBlock, colsPerBlock)` .
{% highlight java %}
import org.apache.spark.api.java.JavaRDD;
import org.apache.spark.mllib.linalg.distributed.BlockMatrix;
import org.apache.spark.mllib.linalg.distributed.CoordinateMatrix;
import org.apache.spark.mllib.linalg.distributed.IndexedRowMatrix;
JavaRDD< MatrixEntry > entries = ... // a JavaRDD of (i, j, v) Matrix Entries
// Create a CoordinateMatrix from a JavaRDD< MatrixEntry > .
CoordinateMatrix coordMat = new CoordinateMatrix(entries.rdd());
// Transform the CoordinateMatrix to a BlockMatrix
BlockMatrix matA = coordMat.toBlockMatrix().cache();
// Validate whether the BlockMatrix is set up properly. Throws an Exception when it is not valid.
// Nothing happens if it is valid.
matA.validate();
// Calculate A^T A.
BlockMatrix ata = matA.transpose().multiply(matA);
{% endhighlight %}
< / div >
< / div >