420 citations · 1.5k across the 35 of their papers we have counts for
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Permutation Complexity and Coupling Measures in Hidden Markov Models
Taichi Haruna, Kohei Nakajima
In [Haruna, T. and Nakajima, K., 2011. Physica D 240, 1370-1377], the authors introduced the duality between values (words) and orderings (permutations) as a basis to discuss the r…
Permutation Excess Entropy and Mutual Information between the Past and Future
Taichi Haruna, Kohei Nakajima
We address the excess entropy, which is a measure of complexity for stationary time series, from the ordinal point of view. We show that the permutation excess entropy is equal to…
Permutation Complexity via Duality between Values and Orderings
Taichi Haruna, Kohei Nakajima
We study the permutation complexity of finite-state stationary stochastic processes based on a duality between values and orderings between values. First, we establish a duality be…
Symbolic transfer entropy rate is equal to transfer entropy rate for bivariate finite-alphabet stationary ergodic Markov processes
Taichi Haruna, Kohei Nakajima
Transfer entropy is a measure of the magnitude and the direction of information flow between jointly distributed stochastic processes. In recent years, its permutation analogues ar…