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Unique Information and Secret Key Decompositions
Johannes Rauh, Pradeep Kr. Banerjee, Eckehard Olbrich +1
The unique information () is an information measure that quantifies a deviation from the Blackwell order. We have recently shown that this quantity is an upper bound on the one…
The Variational Deficiency Bottleneck
Pradeep Kr. Banerjee, Guido Montúfar
We introduce a bottleneck method for learning data representations based on information deficiency, rather than the more traditional information sufficiency. A variational upper bo…
Some new insights into information decomposition in complex systems based on common information
Pradeep Kr. Banerjee
We take a closer look at the structure of bivariate dependency induced by a pair of predictor random variables trying to synergistically, redundantly or uniquely encod…
A Secret Common Information Duality for Tripartite Noisy Correlations
Pradeep Kr. Banerjee
We explore the duality between the simulation and extraction of secret correlations in light of a similar well-known operational duality between the two notions of common informati…