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cs.IT2026
Higher-order Common Information
Jan Ãstergaard
Shannon's mutual information quantifies redundancy between two random variables. We introduce a new notion, termed higher-order common information (HCI), which captures the informa…
cs.IT2024
Synergy and Redundancy Dominated Effects in Time Series via Transfer Entropy Decompositions
Jan Ãstergaard, Payam Boubakani
We present a new decomposition of transfer entropy to characterize the degree of synergy- and redundancy-dominated influence a time series has upon the interaction between other ti…
cs.IT2024
Directed Redundancy in Time Series
Jan Ãstergaard
We quantify the average amount of redundant information that is transferred from a subset of relevant random source processes to a target process. To identify the relevant source p…