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ASF GitHub Bot commented on FLINK1695:

Github user vasia commented on a diff in the pull request:
https://github.com/apache/flink/pull/479#discussion_r26388420
 Diff: docs/ml/polynomial_base_feature_mapper.md 
@@ 0,0 +1,91 @@
+
+mathjax: include
+title: Polynomial Base Feature Mapper
+
+<!
+Licensed to the Apache Software Foundation (ASF) under one
+or more contributor license agreements. See the NOTICE file
+distributed with this work for additional information
+regarding copyright ownership. The ASF licenses this file
+to you under the Apache License, Version 2.0 (the
+"License"); you may not use this file except in compliance
+with the License. You may obtain a copy of the License at
+
+ http://www.apache.org/licenses/LICENSE2.0
+
+Unless required by applicable law or agreed to in writing,
+software distributed under the License is distributed on an
+"AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
+KIND, either express or implied. See the License for the
+specific language governing permissions and limitations
+under the License.
+>
+
+* This will be replaced by the TOC
+{:toc}
+
+## Description
+
+The polynomial base feature mapper maps a vector into the polynomial feature space of
degree $d$.
+The dimension of the input vector determines the number of polynomial factors whose values
are the respective vector entries.
+Given a vector $(x, y, z, \ldots)^T$ the resulting feature vector looks the following:
+
+$$\left(x, y, z, x^2, xy, y^2, yz, z^2, x^3, x^2y, x^2z, xy^2, xyz, xz^2, y^3, \ldots\right)^T$$
+
+Flink's implementation orders the polynomials in decreasing order of their degree.
+
+Given the vector $\left(3,2\right)^T$, the polynomial base feature vector of degree 3
would look like
+
+ $$\left(3^3, 3^2\cdot2, 3\cdot2^2, 2^3, 3^2, 3\cdot2, 2^2, 3, 2\right)^T$$
+
+This transformer can be prepended to all `Transformer` and `Learner` implmeentations
which expec an input of type `LabeledVector`.
 End diff 
*expect
> Create machine learning library
> 
>
> Key: FLINK1695
> URL: https://issues.apache.org/jira/browse/FLINK1695
> Project: Flink
> Issue Type: Improvement
> Reporter: Till Rohrmann
> Assignee: Till Rohrmann
>
> Create the infrastructure for Flink's machine learning library. This includes the creation
of the module structure and the implementation of basic types such as vectors and matrices.

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