5 citations · 8 across the 2 of their papers we have counts for
3 papers
The Past and the Future in the Present
James P. Crutchfield, Christopher J. Ellison
We show how the shared information between the past and future---the excess entropy---derives from the components of directional information stored in the present---the predictive…
Information Accessibility and Cryptic Processes: Linear Combinations of Causal States
John R. Mahoney, Christopher J. Ellison, James P. Crutchfield
We show in detail how to determine the time-reversed representation of a stationary hidden stochastic process from linear combinations of its forward-time -machine causal states…
Information Accessibility and Cryptic Processes
John R. Mahoney, Christopher J. Ellison, James P. Crutchfield
We give a systematic expansion of the crypticity--a recently introduced measure of the inaccessibility of a stationary process's internal state information. This leads to a hierarc…