Phase-Space Embedding

Problem

Embed a scalar series into delay coordinates: row i is [x[i], x[i+delay], ..., x[i+(dim-1)*delay]].

Return the list of embedding vectors. Return an empty list when dim or delay is not positive, or when the series is too short to form one vector.

Hint

The number of embedded vectors is n - (dim - 1) * delay.

case 1

in: [[1,2,3,4,5],2,1]

expected: [[1,2],[2,3],[3,4],[4,5]]

case 2

in: [[1,2,3,4],2,2]

expected: [[1,3],[2,4]]

case 3

in: [[1,2,3],3,1]

expected: [[1,2,3]]

case 4

in: [[1,2],3,1]

expected: []

Starter codePython

def phase_space_embed(series, dim, delay):
    # Your code here
    pass

4 test cases · run your code against them in the editor