[FLINK-13834] Add class for PolynomialExpansionMapper

• Type: Sub-task
• Status: Closed
• Priority: Major
• Resolution: Won't Do
• Component/s: Library / Machine Learning
• Labels: pull-request-available
• Assignee: Unassigned
• Reporter: Xu Yang
• Created: 23/Aug/19 12:36
• Updated: 16/Oct/22 08:25
• Resolved: 16/Oct/22 08:25

Description

Polynomial expansion is the process of expanding your features into a polynomial space, which is formulated by an n-degree combination of original dimensions. Take a 2-variable feature vector as an example: (x, y), if we want to expand it with degree 2, then we get (x, x * x, y, x * y, y * y).

• Add PolynomialExpansionMapper for the operation of the vector polynomial expansion.
• Add VectorPolynomialExpandParams for the parameters of PolynomialExpansionMapper.
• Add PolynomialExpansionMapperTest for the test example.

Issue Links

• Dependent: FLINK-12745 Sparse and dense vector class, and dense matrix class with basic operations.
• Dependent: FLINK-13513 Add the Mapper and related classes for later algorithm implementations.
• Dependent: FLINK-13577 Add an util class to build result row and generate result schema.
• Dependent: FLINK-13666 Add an implement of collector with the row type
• Dependent: FLINK-13667 Add the utility class for the Table
• Dependent: FLINK-13668 Add abstract classes for three typical scenarios of (Flat)Mapper.
• links to: GitHub Pull Request #9522