Given the HEOM distance function that is given by

Summation_a [|x_a-x_y|/(max_a-min_a)]

where a is the columns in the data

Can someone example the computation of HEOM distance in map reduce to compute the distance between all objects?

For example, given the following data set divided into two chunks as follows

Chunk_1

  x_1     0.21      0.41

  x_2     0.39      0.49

  x_3     0.20      0.33

  x_4     0.35      0.45

  x_5     0.10      0.40

  x_6     0.22      0.29

  x_7    0.34      0.44

  x_8    0.19      0.31

  x_9    0.20      0.30

  x_10  0.39     0.49

Chunk_2

  x_11    0.50    0.60

  x_12   0.22     0.42

  x_13   0.36     0.46

  x_14   0.11     0.39

  x_15   0.23     0.34

  x_16   0.18     0.39

  x_17   0.19     0.42

  x_18   0.10     0.41

  x_19   0.21     0.32

  x_20   0.22     0.34

Is this possible to be done using map-reduce? if yes, please help. The output should be matrix containing the distance between the objects.

Note: I'm using matlab 2015a?