Matrices in the unconstrained space#

The matrix in the unconstrained space at each iteration. This data set is saved as a CSV file with name Thetas_CURRENT_INSTANCE_NAME if SAVE_OUTPUT=True in a folder named according to INSTANCE_OUTPUT_DIRECTORY. The ith row represents the matrix in the unconstrained space of the (i-1)th iteration. Note that the matrices have been flattened to a row so that the output is 2D instead of 3D. This means that, for example, the first row of a 3x3 matrix is represented by columns 0-2, the second row by columns 3-5 and the third row by columns 6-8, see the example below. The matrix at the 0th iteration (i.e., the first row), represents the inversely transformed transition matrix.

Example data set of matrices in the unconstrained space.#

0

1

2

3

4

5

6

7

8

-6.907

0.003

0.001

-0.001

-6.907

0.021

0.032

-6.907

-0.045

-6.907

0.017

0.015

0.013

-6.907

0.035

0.046

-6.907

-0.031

This data set can be reshaped so that a matrix is obtained at each iteration. For example, the matrix at the first iteration is as follows:

The matrix in the unconstrained space at the first iteration.#

0

1

2

-6.907

0.017

0.015

0.013

-6.907

0.035

0.046

-6.907

-0.031