Concise and Accessible Representations for Multidimensional Datasets: Introducing a Framework Based on the D-EVM and Kohonen Networks

Algorithm 1

Some primitive operations in the D-EVM.

Output:   An empty nD-EVM.

Procedure   InitEVM( )

{  Returns the empty set.                       }

Input:   An nD-EVM  p

Output:   A Boolean.

Procedure   EndEVM(EVM  p)

{  Returns true if the end of  p  along -axis has been reached.   }

Input:   An nD-EVM  p

Output:   An (n − 1)D-EVM embedded in (n − 1)D space.

Procedure   ReadHvl(EVM  p)

{  Extracts next (n − 1)D couplet perpendicular to -axis from  p.  }

Input:   Two nD-EVMs  p  and  q.

Output:   An nD-EVM

Procedure   MergeXor(EVM  p, EVM  q)

{  Applies the Exclusive OR operation to the vertices of  p  and  q

  and returns the resulting set.                   }

Input:   An nD-EVM  p

Output:   A Boolean.

Procedure   IsEmpty(EVM  p)

{  Returns true if  p  is an empty set.                 }