@article {2768, title = {Improved Measures of Integrated Information}, journal = {PLOS Computational Biology}, year = {2016}, month = {11/2016}, abstract = {

Although\  there\  is\  growing\  interest\  in\  measuring\  integrated\  information\  in\  computational\  and cognitive systems, current methods for doing so in practice are computationally unfeasible.\  Existing and\  novel\  integration\  measures\  are\  investigated\  and\  classified\  by\  various\  desirable\  properties.\ \  A simple taxonomy of Φ-measures is presented where they are each characterized by their choice of factorization\  method\  (5\  options),\  choice\  of\  probability\  distributions\  to\  compare\  (3 {\texttimes} 4\  options) and choice of measure for comparing probability distributions (7 options).\  When requiring the Φ- measures to satisfy a minimum of attractive properties, these hundreds of options reduce to a mere handful, some of which turn out to be identical.\  Useful exact and approximate formulas are derived that can be applied to real-world data from laboratory experiments without posing unreasonable computational demands.

}, doi = {10.1371/journal.pcbi.100512310.1371}, url = {http://dx.plos.org/10.1371/journal.pcbi.1005123}, author = {Max Tegmark}, editor = {Seth, Anil} }