Partial information decomposition

Can the whole be more than the sum of its parts? Most definitely.

Reconciling emergences: An information-theoretic approach to identify causal emergence in multivariate data

Rigorous theory of causal emegence based on information decomposition.

An operational information decomposition via synergistic disclosure

Information decomposition based on an operational definition of synergy.

Multi-target information decomposition and applications to integrated information theory

Covering Integrated Information Decomposition (ΦID), with a few extra details for a PID audience.

The partial information decomposition of generative neural network models

Tracking the information decomposition of neural networks as they learn.

Beyond integrated information: A taxonomy of information dynamics phenomena

The love baby of IIT and PID: ΦID.

Quantifying high-order interdependencies via multivariate extensions of the mutual information

Shannon-style measure of high-order effects for high-dimensional data.