Add the ingredients to the bread machine in the order listed above from liquids to dry. Make a little hole into the dry ingredients making sure not to have the liquid layer in the bottom peek through, and add the bread machine yeast into the hole.
Select the Dough cycle and press Start. Please be sure to add the ingredients in order recommended by your bread machine. Most commonly, you add in order of Liquids, Dry, followed by the Bread Machine Yeast.
Once the cycle is completed, turn the dough out on a floured surface and let it rest covered for 10 minutes. Prepare the ube filling during this time.
Roll the dough into a 16x21 inch rectangle. Spread the ube filling on top of the dough evenly. Using a strand of floss, cut the log into 12 slices. See note below.
Place the rolls into a greased 9x13 inch baking pan. Cover with a kitchen towel and let rest for 1 hour until the rolls double in size.
Preheat the oven to 375°F. Bake on the middle shelf for 23-25 minutes until the tops of the rolls are slightly golden brown. Assemble the frosting while the rolls are baking.
Spread the cream cheese frosting on the rolls while still warm. Enjoy!