A New Model for Building Energy Modeling and Management Using Predictive Analytics: Partitioned Hierarchical Multitask Regression (PHMR)

Algorithm 1

Algorithm for hierML model estimation.

Input: A set of leaf nodes, ’s, and their associated data (training and validation) of indoor

  variables and response variable . A set of weights for each node of the tree

Initialize:

   Initial value of as and start from iteration .

Iterate for all the values of :

   for do

    while and do

      Update by solving

      Update using Proposition 2

    end while

    Calculate on validation set using

   end for

   Output with the smallest

Output: Regression coefficients’ estimation for each leaf node.