A Measure of Synergy based on Union Information
<|reference_start|>A Measure of Synergy based on Union Information: The partial information decomposition (PID) framework is concerned with decomposing the information that a set of (two or more) random variables (the sources) has about another variable (the target) into three types of information: unique, redundant, and synergistic. Classical information theory alone does not provide a unique way to decompose information in this manner and additional assumptions have to be made. One often overlooked way to achieve this decomposition is using a so-called measure of union information - which quantifies the information that is present in at least one of the sources - from which a synergy measure stems. In this paper, we introduce a new measure of union information based on adopting a communication channel perspective, compare it with existing measures, and study some of its properties. We also include a comprehensive critical review of characterizations of union information and synergy measures that have been proposed in the literature.<|reference_end|>
@article{gomes2024a,
    title={A Measure of Synergy based on Union Information},
    author={Andr'e F.C. Gomes and M'ario A.T. Figueiredo},
    journal={arXiv preprint arXiv:2403.16575},
    year={2024},
    doi={10.3390/e26030271},
    archivePrefix={arXiv},
    eprint={2403.16575},
    primaryClass={cs.IT math.IT}
}